TSTP Solution File: HWV047_7 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV047_7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 02:13:56 EDT 2022
% Result : Unsatisfiable 82.27s 51.92s
% Output : Proof 86.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV047_7 : 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 : n019.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 22:56:50 EDT 2022
% 0.12/0.35 % 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.
% 82.27/51.92 % SZS status Unsatisfiable
% 82.27/51.92 % SZS output start Proof
% 82.27/51.92 tff(v18_type, type, (
% 82.27/51.92 v18: state_type > $o)).
% 82.27/51.92 tff(constB24_type, type, (
% 82.27/51.92 constB24: state_type)).
% 82.27/51.92 tff(v19_type, type, (
% 82.27/51.92 v19: state_type > $o)).
% 82.27/51.92 tff(v13_type, type, (
% 82.27/51.92 v13: state_type > $o)).
% 82.27/51.92 tff(v9_type, type, (
% 82.27/51.92 v9: state_type > $o)).
% 82.27/51.92 tff(constB23_type, type, (
% 82.27/51.92 constB23: state_type)).
% 82.27/51.92 tff(v184_type, type, (
% 82.27/51.92 v184: state_type > $o)).
% 82.27/51.92 tff(v183_type, type, (
% 82.27/51.92 v183: state_type > $o)).
% 82.27/51.92 tff(v259_type, type, (
% 82.27/51.92 v259: state_type > $o)).
% 82.27/51.92 tff(v256_type, type, (
% 82.27/51.92 v256: state_type > $o)).
% 82.27/51.92 tff(v258_type, type, (
% 82.27/51.92 v258: state_type > $o)).
% 82.27/51.92 tff(constB25_type, type, (
% 82.27/51.92 constB25: state_type)).
% 82.27/51.92 tff(sK_VarCurr_type, type, (
% 82.27/51.92 sK_VarCurr: state_type)).
% 82.27/51.92 tff(constB137_type, type, (
% 82.27/51.92 constB137: state_type)).
% 82.27/51.92 tff(v314_type, type, (
% 82.27/51.92 v314: state_type > $o)).
% 82.27/51.92 tff(v288_type, type, (
% 82.27/51.92 v288: state_type > $o)).
% 82.27/51.92 tff(constB27_type, type, (
% 82.27/51.92 constB27: state_type)).
% 82.27/51.92 tff(v287_type, type, (
% 82.27/51.92 v287: state_type > $o)).
% 82.27/51.92 tff(v309_type, type, (
% 82.27/51.92 v309: state_type > $o)).
% 82.27/51.92 tff(v310_type, type, (
% 82.27/51.92 v310: state_type > $o)).
% 82.27/51.92 tff(v311_type, type, (
% 82.27/51.92 v311: state_type > $o)).
% 82.27/51.92 tff(v161_type, type, (
% 82.27/51.92 v161: state_type > $o)).
% 82.27/51.92 tff(v226_type, type, (
% 82.27/51.92 v226: state_type > $o)).
% 82.27/51.92 tff(v227_type, type, (
% 82.27/51.92 v227: state_type > $o)).
% 82.27/51.92 tff(v228_type, type, (
% 82.27/51.92 v228: state_type > $o)).
% 82.27/51.92 tff(v229_type, type, (
% 82.27/51.92 v229: state_type > $o)).
% 82.27/51.92 tff(v140_type, type, (
% 82.27/51.92 v140: state_type > $o)).
% 82.27/51.92 tff(v88_type, type, (
% 82.27/51.92 v88: ( state_type * $int ) > $o)).
% 82.27/51.92 tff(v90_type, type, (
% 82.27/51.92 v90: ( state_type * $int ) > $o)).
% 82.27/51.92 tff(constB26_type, type, (
% 82.27/51.92 constB26: state_type)).
% 82.27/51.92 tff(v100_type, type, (
% 82.27/51.92 v100: state_type > $o)).
% 82.27/51.92 tff(v110_type, type, (
% 82.27/51.92 v110: state_type > $o)).
% 82.27/51.92 tff(v108_type, type, (
% 82.27/51.92 v108: state_type > $o)).
% 82.27/51.92 tff(v112_type, type, (
% 82.27/51.92 v112: state_type > $o)).
% 82.27/51.92 tff(v26_type, type, (
% 82.27/51.92 v26: state_type > $o)).
% 82.27/51.92 tff(v113_type, type, (
% 82.27/51.92 v113: state_type > $o)).
% 82.27/51.92 tff(v125_type, type, (
% 82.27/51.92 v125: state_type > $o)).
% 82.27/51.92 tff(v114_type, type, (
% 82.27/51.92 v114: state_type > $o)).
% 82.27/51.92 tff(v124_type, type, (
% 82.27/51.92 v124: state_type > $o)).
% 82.27/51.92 tff(constB22_type, type, (
% 82.27/51.92 constB22: state_type)).
% 82.27/51.92 tff(constB21_type, type, (
% 82.27/51.92 constB21: state_type)).
% 82.27/51.92 tff(v115_type, type, (
% 82.27/51.92 v115: state_type > $o)).
% 82.27/51.92 tff(v123_type, type, (
% 82.27/51.92 v123: state_type > $o)).
% 82.27/51.92 tff(constB20_type, type, (
% 82.27/51.92 constB20: state_type)).
% 82.27/51.92 tff(v130_type, type, (
% 82.27/51.92 v130: ( state_type * $int ) > $o)).
% 82.27/51.92 tff(constB19_type, type, (
% 82.27/51.92 constB19: state_type)).
% 82.27/51.92 tff(v122_type, type, (
% 82.27/51.92 v122: state_type > $o)).
% 82.27/51.92 tff(v121_type, type, (
% 82.27/51.92 v121: state_type > $o)).
% 82.27/51.92 tff(constB17_type, type, (
% 82.27/51.92 constB17: state_type)).
% 82.27/51.92 tff(constB16_type, type, (
% 82.27/51.92 constB16: state_type)).
% 82.27/51.92 tff(v129_type, type, (
% 82.27/51.92 v129: ( state_type * $int ) > $o)).
% 82.27/51.92 tff(v127_type, type, (
% 82.27/51.92 v127: ( state_type * $int ) > $o)).
% 82.27/51.92 tff(constB15_type, type, (
% 82.27/51.92 constB15: state_type)).
% 82.27/51.92 tff(v120_type, type, (
% 82.27/51.92 v120: state_type > $o)).
% 82.27/51.92 tff(constB14_type, type, (
% 82.27/51.92 constB14: state_type)).
% 82.27/51.92 tff(constB13_type, type, (
% 82.27/51.92 constB13: state_type)).
% 82.27/51.92 tff(constB12_type, type, (
% 82.27/51.92 constB12: state_type)).
% 82.27/51.92 tff(constB11_type, type, (
% 82.27/51.92 constB11: state_type)).
% 82.27/51.92 tff(constB10_type, type, (
% 82.27/51.92 constB10: state_type)).
% 82.27/51.92 tff(constB9_type, type, (
% 82.27/51.92 constB9: state_type)).
% 82.27/51.92 tff(constB8_type, type, (
% 82.27/51.92 constB8: state_type)).
% 82.27/51.92 tff(constB7_type, type, (
% 82.27/51.92 constB7: state_type)).
% 82.27/51.92 tff(constB6_type, type, (
% 82.27/51.92 constB6: state_type)).
% 82.27/51.92 tff(constB5_type, type, (
% 82.27/51.92 constB5: state_type)).
% 82.27/51.92 tff(v116_type, type, (
% 82.27/51.92 v116: state_type > $o)).
% 82.27/51.92 tff(v117_type, type, (
% 82.27/51.92 v117: state_type > $o)).
% 82.27/51.92 tff(constB4_type, type, (
% 82.27/51.92 constB4: state_type)).
% 82.27/51.92 tff(constB3_type, type, (
% 82.27/51.92 constB3: state_type)).
% 82.27/51.92 tff(v118_type, type, (
% 82.27/51.92 v118: state_type > $o)).
% 82.27/51.92 tff(constB1_type, type, (
% 82.27/51.92 constB1: state_type)).
% 82.27/51.92 tff(constB2_type, type, (
% 82.27/51.92 constB2: state_type)).
% 82.27/51.92 tff(v119_type, type, (
% 82.27/51.92 v119: state_type > $o)).
% 82.27/51.92 tff(v101_type, type, (
% 82.27/51.92 v101: state_type > $o)).
% 82.27/51.92 tff(v1_type, type, (
% 82.27/51.92 v1: state_type > $o)).
% 82.27/51.92 tff(nextState_type, type, (
% 82.27/51.92 nextState: ( state_type * state_type ) > $o)).
% 82.27/51.92 tff(constB0_type, type, (
% 82.27/51.92 constB0: state_type)).
% 82.27/51.92 tff(v102_type, type, (
% 82.27/51.92 v102: state_type > $o)).
% 82.27/51.92 tff(v104_type, type, (
% 82.27/51.92 v104: state_type > $o)).
% 82.27/51.92 tff(constB18_type, type, (
% 82.27/51.92 constB18: state_type)).
% 82.27/51.92 tff(v168_type, type, (
% 82.27/51.92 v168: state_type > $o)).
% 82.27/51.92 tff(v289_type, type, (
% 82.27/51.92 v289: state_type > $o)).
% 82.27/51.92 tff(v307_type, type, (
% 82.27/51.92 v307: state_type > $o)).
% 82.27/51.92 tff(v269_type, type, (
% 82.27/51.92 v269: state_type > $o)).
% 82.27/51.92 tff(v267_type, type, (
% 82.27/51.92 v267: state_type > $o)).
% 82.27/51.92 tff(v270_type, type, (
% 82.27/51.92 v270: state_type > $o)).
% 82.27/51.92 tff(v22_type, type, (
% 82.27/51.92 v22: state_type > $o)).
% 82.27/51.92 tff(v271_type, type, (
% 82.27/51.92 v271: state_type > $o)).
% 82.27/51.92 tff(v261_type, type, (
% 82.27/51.92 v261: state_type > $o)).
% 82.27/51.92 tff(v262_type, type, (
% 82.27/51.92 v262: state_type > $o)).
% 82.27/51.92 tff(v223_type, type, (
% 82.27/51.92 v223: state_type > $o)).
% 82.27/51.92 tff(v230_type, type, (
% 82.27/51.92 v230: state_type > $o)).
% 82.27/51.92 tff(v142_type, type, (
% 82.27/51.92 v142: state_type > $o)).
% 82.27/51.92 tff(v144_type, type, (
% 82.27/51.92 v144: state_type > $o)).
% 82.27/51.92 tff(v290_type, type, (
% 82.27/51.92 v290: state_type > $o)).
% 82.27/51.92 tff(v292_type, type, (
% 82.27/51.92 v292: state_type > $o)).
% 82.27/51.92 tff(v293_type, type, (
% 82.27/51.92 v293: state_type > $o)).
% 82.27/51.92 tff(v180_type, type, (
% 82.27/51.92 v180: state_type > $o)).
% 82.27/51.92 tff(v178_type, type, (
% 82.27/51.92 v178: state_type > $o)).
% 82.27/51.92 tff(v181_type, type, (
% 82.27/51.92 v181: state_type > $o)).
% 82.27/51.92 tff(v185_type, type, (
% 82.27/51.92 v185: state_type > $o)).
% 82.27/51.92 tff(v187_type, type, (
% 82.27/51.92 v187: state_type > $o)).
% 82.27/51.92 tff(v139_type, type, (
% 82.27/51.92 v139: state_type > $o)).
% 82.27/51.92 tff(v145_type, type, (
% 82.27/51.92 v145: state_type > $o)).
% 82.27/51.92 tff(v147_type, type, (
% 82.27/51.92 v147: state_type > $o)).
% 82.27/51.92 tff(v146_type, type, (
% 82.27/51.92 v146: state_type > $o)).
% 82.27/51.92 tff(v297_type, type, (
% 82.27/51.92 v297: state_type > $o)).
% 82.27/51.92 tff(v213_type, type, (
% 82.27/51.92 v213: state_type > $o)).
% 82.27/51.92 tff(v211_type, type, (
% 82.27/51.92 v211: state_type > $o)).
% 82.27/51.92 tff(v214_type, type, (
% 82.27/51.92 v214: state_type > $o)).
% 82.27/51.92 tff(v215_type, type, (
% 82.27/51.92 v215: state_type > $o)).
% 82.27/51.92 tff(v216_type, type, (
% 82.27/51.92 v216: state_type > $o)).
% 82.27/51.92 tff(v217_type, type, (
% 82.27/51.92 v217: state_type > $o)).
% 82.27/51.92 tff(v86_type, type, (
% 82.27/51.92 v86: state_type > $o)).
% 82.27/51.92 tff(v148_type, type, (
% 82.27/51.92 v148: state_type > $o)).
% 82.27/51.92 tff(v141_type, type, (
% 82.27/51.92 v141: state_type > $o)).
% 82.27/51.92 tff(v143_type, type, (
% 82.27/51.92 v143: state_type > $o)).
% 82.27/51.92 tff(v302_type, type, (
% 82.27/51.92 v302: state_type > $o)).
% 82.27/51.92 tff(v243_type, type, (
% 82.27/51.92 v243: state_type > $o)).
% 82.27/51.92 tff(v241_type, type, (
% 82.27/51.92 v241: state_type > $o)).
% 82.27/51.92 tff(v244_type, type, (
% 82.27/51.92 v244: state_type > $o)).
% 82.27/51.92 tff(v245_type, type, (
% 82.27/51.92 v245: state_type > $o)).
% 82.27/51.92 tff(v246_type, type, (
% 82.27/51.92 v246: state_type > $o)).
% 82.27/51.92 tff(v247_type, type, (
% 82.27/51.92 v247: state_type > $o)).
% 82.27/51.92 tff(v193_type, type, (
% 82.27/51.92 v193: state_type > $o)).
% 82.27/51.92 tff(v200_type, type, (
% 82.27/51.92 v200: state_type > $o)).
% 82.27/51.92 tff(v260_type, type, (
% 82.27/51.92 v260: state_type > $o)).
% 82.27/51.92 tff(constB123_type, type, (
% 82.27/51.92 constB123: state_type)).
% 82.27/51.92 tff(constB117_type, type, (
% 82.27/51.92 constB117: state_type)).
% 82.27/51.92 tff(v280_type, type, (
% 82.27/51.92 v280: state_type > $o)).
% 82.27/51.92 tff(constB113_type, type, (
% 82.27/51.92 constB113: state_type)).
% 82.27/51.92 tff(v294_type, type, (
% 82.27/51.92 v294: state_type > $o)).
% 82.27/51.92 tff(v295_type, type, (
% 82.27/51.92 v295: state_type > $o)).
% 82.27/51.92 tff(constB112_type, type, (
% 82.27/51.92 constB112: state_type)).
% 82.27/51.92 tff(constB111_type, type, (
% 82.27/51.92 constB111: state_type)).
% 82.27/51.92 tff(constB110_type, type, (
% 82.27/51.92 constB110: state_type)).
% 82.27/51.92 tff(constB109_type, type, (
% 82.27/51.92 constB109: state_type)).
% 82.27/51.92 tff(constB108_type, type, (
% 82.27/51.92 constB108: state_type)).
% 82.27/51.92 tff(constB107_type, type, (
% 82.27/51.92 constB107: state_type)).
% 82.27/51.92 tff(constB106_type, type, (
% 82.27/51.92 constB106: state_type)).
% 82.27/51.92 tff(constB105_type, type, (
% 82.27/51.92 constB105: state_type)).
% 82.27/51.92 tff(constB104_type, type, (
% 82.27/51.92 constB104: state_type)).
% 82.27/51.92 tff(constB103_type, type, (
% 82.27/51.92 constB103: state_type)).
% 82.27/51.92 tff(constB102_type, type, (
% 82.27/51.92 constB102: state_type)).
% 82.27/51.92 tff(constB101_type, type, (
% 82.27/51.92 constB101: state_type)).
% 82.27/51.92 tff(constB100_type, type, (
% 82.27/51.92 constB100: state_type)).
% 82.27/51.92 tff(constB99_type, type, (
% 82.27/51.92 constB99: state_type)).
% 82.27/51.92 tff(constB98_type, type, (
% 82.27/51.92 constB98: state_type)).
% 82.27/51.92 tff(constB97_type, type, (
% 82.27/51.92 constB97: state_type)).
% 82.27/51.92 tff(constB96_type, type, (
% 82.27/51.92 constB96: state_type)).
% 82.27/51.92 tff(constB95_type, type, (
% 82.27/51.92 constB95: state_type)).
% 82.27/51.92 tff(constB94_type, type, (
% 82.27/51.92 constB94: state_type)).
% 82.27/51.92 tff(constB93_type, type, (
% 82.27/51.92 constB93: state_type)).
% 82.27/51.92 tff(constB92_type, type, (
% 82.27/51.92 constB92: state_type)).
% 82.27/51.92 tff(constB91_type, type, (
% 82.27/51.92 constB91: state_type)).
% 82.27/51.92 tff(constB90_type, type, (
% 82.27/51.92 constB90: state_type)).
% 82.27/51.92 tff(constB89_type, type, (
% 82.27/51.92 constB89: state_type)).
% 82.27/51.92 tff(constB88_type, type, (
% 82.27/51.92 constB88: state_type)).
% 82.27/51.92 tff(constB87_type, type, (
% 82.27/51.92 constB87: state_type)).
% 82.27/51.92 tff(constB86_type, type, (
% 82.27/51.92 constB86: state_type)).
% 82.27/51.92 tff(constB85_type, type, (
% 82.27/51.92 constB85: state_type)).
% 82.27/51.92 tff(constB83_type, type, (
% 82.27/51.92 constB83: state_type)).
% 82.27/51.92 tff(constB82_type, type, (
% 82.27/51.92 constB82: state_type)).
% 82.27/51.92 tff(constB81_type, type, (
% 82.27/51.92 constB81: state_type)).
% 82.27/51.92 tff(constB80_type, type, (
% 82.27/51.92 constB80: state_type)).
% 82.27/51.92 tff(constB79_type, type, (
% 82.27/51.92 constB79: state_type)).
% 82.27/51.92 tff(constB77_type, type, (
% 82.27/51.92 constB77: state_type)).
% 82.27/51.92 tff(constB75_type, type, (
% 82.27/51.92 constB75: state_type)).
% 82.27/51.92 tff(constB74_type, type, (
% 82.27/51.92 constB74: state_type)).
% 82.27/51.92 tff(constB73_type, type, (
% 82.27/51.92 constB73: state_type)).
% 82.27/51.92 tff(constB72_type, type, (
% 82.27/51.92 constB72: state_type)).
% 82.27/51.92 tff(constB71_type, type, (
% 82.27/51.92 constB71: state_type)).
% 82.27/51.92 tff(constB70_type, type, (
% 82.27/51.92 constB70: state_type)).
% 82.27/51.92 tff(constB69_type, type, (
% 82.27/51.92 constB69: state_type)).
% 82.27/51.92 tff(constB68_type, type, (
% 82.27/51.92 constB68: state_type)).
% 82.27/51.92 tff(constB67_type, type, (
% 82.27/51.92 constB67: state_type)).
% 82.27/51.92 tff(constB66_type, type, (
% 82.27/51.92 constB66: state_type)).
% 82.27/51.92 tff(constB65_type, type, (
% 82.27/51.92 constB65: state_type)).
% 82.27/51.92 tff(constB64_type, type, (
% 82.27/51.92 constB64: state_type)).
% 82.27/51.92 tff(constB63_type, type, (
% 82.27/51.92 constB63: state_type)).
% 82.27/51.92 tff(constB62_type, type, (
% 82.27/51.92 constB62: state_type)).
% 82.27/51.92 tff(constB61_type, type, (
% 82.27/51.92 constB61: state_type)).
% 82.27/51.92 tff(constB60_type, type, (
% 82.27/51.92 constB60: state_type)).
% 82.27/51.92 tff(constB59_type, type, (
% 82.27/51.92 constB59: state_type)).
% 82.27/51.92 tff(constB58_type, type, (
% 82.27/51.92 constB58: state_type)).
% 82.27/51.92 tff(constB57_type, type, (
% 82.27/51.92 constB57: state_type)).
% 82.27/51.92 tff(constB56_type, type, (
% 82.27/51.92 constB56: state_type)).
% 82.27/51.92 tff(constB55_type, type, (
% 82.27/51.92 constB55: state_type)).
% 82.27/51.92 tff(constB54_type, type, (
% 82.27/51.92 constB54: state_type)).
% 82.27/51.92 tff(constB53_type, type, (
% 82.27/51.92 constB53: state_type)).
% 82.27/51.92 tff(constB52_type, type, (
% 82.27/51.92 constB52: state_type)).
% 82.27/51.92 tff(constB51_type, type, (
% 82.27/51.92 constB51: state_type)).
% 82.27/51.92 tff(constB50_type, type, (
% 82.27/51.92 constB50: state_type)).
% 82.27/51.92 tff(constB49_type, type, (
% 82.27/51.92 constB49: state_type)).
% 82.27/51.92 tff(constB48_type, type, (
% 82.27/51.92 constB48: state_type)).
% 82.27/51.92 tff(constB47_type, type, (
% 82.27/51.92 constB47: state_type)).
% 82.27/51.92 tff(constB46_type, type, (
% 82.27/51.92 constB46: state_type)).
% 82.27/51.92 tff(constB45_type, type, (
% 82.27/51.92 constB45: state_type)).
% 82.27/51.92 tff(constB44_type, type, (
% 82.27/51.92 constB44: state_type)).
% 82.27/51.92 tff(constB43_type, type, (
% 82.27/51.92 constB43: state_type)).
% 82.27/51.92 tff(constB42_type, type, (
% 82.27/51.92 constB42: state_type)).
% 82.27/51.92 tff(constB41_type, type, (
% 82.27/51.92 constB41: state_type)).
% 82.27/51.92 tff(constB40_type, type, (
% 82.27/51.92 constB40: state_type)).
% 82.27/51.92 tff(constB39_type, type, (
% 82.27/51.92 constB39: state_type)).
% 82.27/51.92 tff(constB38_type, type, (
% 82.27/51.92 constB38: state_type)).
% 82.27/51.92 tff(constB37_type, type, (
% 82.27/51.92 constB37: state_type)).
% 82.27/51.92 tff(constB36_type, type, (
% 82.27/51.92 constB36: state_type)).
% 82.27/51.92 tff(constB35_type, type, (
% 82.27/51.92 constB35: state_type)).
% 82.27/51.92 tff(constB34_type, type, (
% 82.27/51.92 constB34: state_type)).
% 82.27/51.92 tff(constB33_type, type, (
% 82.27/51.92 constB33: state_type)).
% 82.27/51.92 tff(constB32_type, type, (
% 82.27/51.92 constB32: state_type)).
% 82.27/51.92 tff(constB31_type, type, (
% 82.27/51.92 constB31: state_type)).
% 82.27/51.92 tff(constB30_type, type, (
% 82.27/51.92 constB30: state_type)).
% 82.27/51.92 tff(constB29_type, type, (
% 82.27/51.92 constB29: state_type)).
% 82.27/51.92 tff(constB28_type, type, (
% 82.27/51.92 constB28: state_type)).
% 82.27/51.92 tff(constB76_type, type, (
% 82.27/51.92 constB76: state_type)).
% 82.27/51.92 tff(constB78_type, type, (
% 82.27/51.92 constB78: state_type)).
% 82.27/51.92 tff(constB84_type, type, (
% 82.27/51.92 constB84: state_type)).
% 82.27/51.92 tff(constB139_type, type, (
% 82.27/51.92 constB139: state_type)).
% 82.27/51.92 tff(constB138_type, type, (
% 82.27/51.92 constB138: state_type)).
% 82.27/51.92 tff(constB136_type, type, (
% 82.27/51.92 constB136: state_type)).
% 82.27/51.92 tff(constB135_type, type, (
% 82.27/51.92 constB135: state_type)).
% 82.27/51.92 tff(constB134_type, type, (
% 82.27/51.92 constB134: state_type)).
% 82.27/51.92 tff(constB133_type, type, (
% 82.27/51.92 constB133: state_type)).
% 82.27/51.92 tff(constB132_type, type, (
% 82.27/51.92 constB132: state_type)).
% 82.27/51.92 tff(constB131_type, type, (
% 82.27/51.92 constB131: state_type)).
% 82.27/51.92 tff(constB130_type, type, (
% 82.27/51.92 constB130: state_type)).
% 82.27/51.92 tff(constB129_type, type, (
% 82.27/51.92 constB129: state_type)).
% 82.27/51.92 tff(constB128_type, type, (
% 82.27/51.92 constB128: state_type)).
% 82.27/51.92 tff(constB127_type, type, (
% 82.27/51.92 constB127: state_type)).
% 82.27/51.92 tff(constB126_type, type, (
% 82.27/51.92 constB126: state_type)).
% 82.27/51.92 tff(constB125_type, type, (
% 82.27/51.92 constB125: state_type)).
% 82.27/51.92 tff(constB124_type, type, (
% 82.27/51.92 constB124: state_type)).
% 82.27/51.92 tff(constB122_type, type, (
% 82.27/51.92 constB122: state_type)).
% 82.27/51.92 tff(constB121_type, type, (
% 82.27/51.92 constB121: state_type)).
% 82.27/51.92 tff(constB120_type, type, (
% 82.27/51.92 constB120: state_type)).
% 82.27/51.92 tff(constB119_type, type, (
% 82.27/51.92 constB119: state_type)).
% 82.27/51.92 tff(constB118_type, type, (
% 82.27/51.92 constB118: state_type)).
% 82.27/51.92 tff(constB116_type, type, (
% 82.27/51.92 constB116: state_type)).
% 82.27/51.92 tff(constB115_type, type, (
% 82.27/51.92 constB115: state_type)).
% 82.27/51.92 tff(constB114_type, type, (
% 82.27/51.92 constB114: state_type)).
% 82.27/51.92 tff(v298_type, type, (
% 82.27/51.92 v298: state_type > $o)).
% 82.27/51.92 tff(v299_type, type, (
% 82.27/51.92 v299: state_type > $o)).
% 82.27/51.92 tff(constB149_type, type, (
% 82.27/51.92 constB149: state_type)).
% 82.27/51.92 tff(constB148_type, type, (
% 82.27/51.92 constB148: state_type)).
% 82.27/51.92 tff(constB147_type, type, (
% 82.27/51.92 constB147: state_type)).
% 82.27/51.92 tff(constB146_type, type, (
% 82.27/51.92 constB146: state_type)).
% 82.27/51.92 tff(constB145_type, type, (
% 82.27/51.92 constB145: state_type)).
% 82.27/51.92 tff(constB144_type, type, (
% 82.27/51.92 constB144: state_type)).
% 82.27/51.92 tff(constB143_type, type, (
% 82.27/51.92 constB143: state_type)).
% 82.27/51.92 tff(constB142_type, type, (
% 82.27/51.92 constB142: state_type)).
% 82.27/51.92 tff(constB141_type, type, (
% 82.27/51.92 constB141: state_type)).
% 82.27/51.92 tff(constB140_type, type, (
% 82.27/51.92 constB140: state_type)).
% 82.27/51.92 tff(v303_type, type, (
% 82.27/51.92 v303: state_type > $o)).
% 82.27/51.92 tff(v304_type, type, (
% 82.27/51.92 v304: state_type > $o)).
% 82.27/51.92 tff(v278_type, type, (
% 82.27/51.92 v278: state_type > $o)).
% 82.27/51.92 tff(v281_type, type, (
% 82.27/51.92 v281: state_type > $o)).
% 82.27/51.92 tff(v282_type, type, (
% 82.27/51.92 v282: state_type > $o)).
% 82.27/51.92 tff(constB158_type, type, (
% 82.27/51.92 constB158: state_type)).
% 82.27/51.92 tff(constB169_type, type, (
% 82.27/51.92 constB169: state_type)).
% 82.27/51.92 tff(constB168_type, type, (
% 82.27/51.92 constB168: state_type)).
% 82.27/51.92 tff(constB167_type, type, (
% 82.27/51.92 constB167: state_type)).
% 82.27/51.92 tff(constB166_type, type, (
% 82.27/51.92 constB166: state_type)).
% 82.27/51.92 tff(constB165_type, type, (
% 82.27/51.92 constB165: state_type)).
% 82.27/51.92 tff(constB164_type, type, (
% 82.27/51.92 constB164: state_type)).
% 82.27/51.92 tff(constB163_type, type, (
% 82.27/51.92 constB163: state_type)).
% 82.27/51.92 tff(constB162_type, type, (
% 82.27/51.92 constB162: state_type)).
% 82.27/51.92 tff(constB161_type, type, (
% 82.27/51.92 constB161: state_type)).
% 82.27/51.92 tff(constB160_type, type, (
% 82.27/51.92 constB160: state_type)).
% 82.27/51.92 tff(constB159_type, type, (
% 82.27/51.92 constB159: state_type)).
% 82.27/51.92 tff(constB157_type, type, (
% 82.27/51.92 constB157: state_type)).
% 82.27/51.92 tff(constB156_type, type, (
% 82.27/51.92 constB156: state_type)).
% 82.27/51.92 tff(constB155_type, type, (
% 82.27/51.92 constB155: state_type)).
% 82.27/51.92 tff(constB154_type, type, (
% 82.27/51.92 constB154: state_type)).
% 82.27/51.92 tff(constB153_type, type, (
% 82.27/51.92 constB153: state_type)).
% 82.27/51.92 tff(constB152_type, type, (
% 82.27/51.92 constB152: state_type)).
% 82.27/51.92 tff(constB151_type, type, (
% 82.27/51.92 constB151: state_type)).
% 82.27/51.92 tff(constB150_type, type, (
% 82.27/51.92 constB150: state_type)).
% 82.27/51.92 tff(constB190_type, type, (
% 82.27/51.92 constB190: state_type)).
% 82.27/51.92 tff(constB193_type, type, (
% 82.27/51.92 constB193: state_type)).
% 82.27/51.92 tff(constB192_type, type, (
% 82.27/51.92 constB192: state_type)).
% 82.27/51.92 tff(constB191_type, type, (
% 82.27/51.92 constB191: state_type)).
% 82.27/51.92 tff(constB189_type, type, (
% 82.27/51.92 constB189: state_type)).
% 82.27/51.92 tff(constB188_type, type, (
% 82.27/51.92 constB188: state_type)).
% 82.27/51.92 tff(constB187_type, type, (
% 82.27/51.92 constB187: state_type)).
% 82.27/51.92 tff(constB186_type, type, (
% 82.27/51.92 constB186: state_type)).
% 82.27/51.92 tff(constB185_type, type, (
% 82.27/51.92 constB185: state_type)).
% 82.27/51.92 tff(constB184_type, type, (
% 82.27/51.92 constB184: state_type)).
% 82.27/51.92 tff(constB183_type, type, (
% 82.27/51.92 constB183: state_type)).
% 82.27/51.92 tff(constB182_type, type, (
% 82.27/51.92 constB182: state_type)).
% 82.27/51.92 tff(constB181_type, type, (
% 82.27/51.92 constB181: state_type)).
% 82.27/51.92 tff(constB180_type, type, (
% 82.27/51.92 constB180: state_type)).
% 82.27/51.92 tff(constB179_type, type, (
% 82.27/51.92 constB179: state_type)).
% 82.27/51.92 tff(constB178_type, type, (
% 82.27/51.92 constB178: state_type)).
% 82.27/51.92 tff(constB177_type, type, (
% 82.27/51.92 constB177: state_type)).
% 82.27/51.92 tff(constB176_type, type, (
% 82.27/51.92 constB176: state_type)).
% 82.27/51.92 tff(constB175_type, type, (
% 82.27/51.92 constB175: state_type)).
% 82.27/51.92 tff(constB174_type, type, (
% 82.27/51.92 constB174: state_type)).
% 82.27/51.92 tff(constB173_type, type, (
% 82.27/51.92 constB173: state_type)).
% 82.27/51.92 tff(constB172_type, type, (
% 82.27/51.92 constB172: state_type)).
% 82.27/51.92 tff(constB171_type, type, (
% 82.27/51.92 constB171: state_type)).
% 82.27/51.92 tff(constB170_type, type, (
% 82.27/51.92 constB170: state_type)).
% 82.27/51.92 tff(constB198_type, type, (
% 82.27/51.92 constB198: state_type)).
% 82.27/51.92 tff(constB196_type, type, (
% 82.27/51.92 constB196: state_type)).
% 82.27/51.92 tff(constB194_type, type, (
% 82.27/51.92 constB194: state_type)).
% 82.27/51.92 tff(constB200_type, type, (
% 82.27/51.92 constB200: state_type)).
% 82.27/51.92 tff(constB199_type, type, (
% 82.27/51.92 constB199: state_type)).
% 82.27/51.92 tff(constB197_type, type, (
% 82.27/51.92 constB197: state_type)).
% 82.27/51.92 tff(constB195_type, type, (
% 82.27/51.92 constB195: state_type)).
% 82.27/51.92 tff(reachableState_type, type, (
% 82.27/51.92 reachableState: state_type > $o)).
% 82.27/51.92 tff(v66_type, type, (
% 82.27/51.92 v66: state_type > $o)).
% 82.27/51.92 tff(v60_type, type, (
% 82.27/51.92 v60: state_type > $o)).
% 82.27/51.92 tff(v74_type, type, (
% 82.27/51.92 v74: state_type > $o)).
% 82.27/51.92 tff(v72_type, type, (
% 82.27/51.92 v72: state_type > $o)).
% 82.27/51.92 tff(v71_type, type, (
% 82.27/51.92 v71: state_type > $o)).
% 82.27/51.92 tff(v76_type, type, (
% 82.27/51.92 v76: state_type > $o)).
% 82.27/51.92 tff(v80_type, type, (
% 82.27/51.92 v80: state_type > $o)).
% 82.27/51.92 tff(v78_type, type, (
% 82.27/51.92 v78: state_type > $o)).
% 82.27/51.92 tff(v64_type, type, (
% 82.27/51.92 v64: state_type > $o)).
% 82.27/51.92 tff(1,assumption,(constB137 = sK_VarCurr), introduced(assumption)).
% 82.27/51.92 tff(2,plain,
% 82.27/51.92 (v258(constB137) <=> v258(sK_VarCurr)),
% 82.27/51.92 inference(monotonicity,[status(thm)],[1])).
% 82.27/51.92 tff(3,plain,
% 82.27/51.92 (v258(sK_VarCurr) <=> v258(constB137)),
% 82.27/51.92 inference(symmetry,[status(thm)],[2])).
% 82.27/51.92 tff(4,assumption,(constB27 = sK_VarCurr), introduced(assumption)).
% 82.27/51.92 tff(5,plain,
% 82.27/51.92 (v287(constB27) <=> v287(sK_VarCurr)),
% 82.27/51.92 inference(monotonicity,[status(thm)],[4])).
% 82.27/51.92 tff(6,plain,
% 82.27/51.92 (v287(sK_VarCurr) <=> v287(constB27)),
% 82.27/51.92 inference(symmetry,[status(thm)],[5])).
% 82.27/51.92 tff(7,plain,
% 82.27/51.92 ((~v287(sK_VarCurr)) <=> (~v287(constB27))),
% 82.27/51.92 inference(monotonicity,[status(thm)],[6])).
% 82.27/51.92 tff(8,plain,
% 82.27/51.92 ((~v287(sK_VarCurr)) <=> (~v287(sK_VarCurr))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(9,axiom,(~v287(sK_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 82.27/51.92 tff(10,plain,
% 82.27/51.92 (~v287(sK_VarCurr)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[9, 8])).
% 82.27/51.92 tff(11,plain,
% 82.27/51.92 (~v287(constB27)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[10, 7])).
% 82.27/51.92 tff(12,assumption,(v26(constB25)), introduced(assumption)).
% 82.27/51.92 tff(13,plain,
% 82.27/51.92 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(14,plain,
% 82.27/51.92 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[13])).
% 82.27/51.92 tff(15,plain,
% 82.27/51.92 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(16,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 82.27/51.92 tff(17,plain,
% 82.27/51.92 (![VarCurr: state_type] : (~v26(VarCurr))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[16, 15])).
% 82.27/51.92 tff(18,plain,(
% 82.27/51.92 ![VarCurr: state_type] : (~v26(VarCurr))),
% 82.27/51.92 inference(skolemize,[status(sab)],[17])).
% 82.27/51.92 tff(19,plain,
% 82.27/51.92 (![VarCurr: state_type] : (~v26(VarCurr))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[18, 14])).
% 82.27/51.92 tff(20,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(21,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[20, 19, 12])).
% 82.27/51.92 tff(22,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(23,assumption,(v26(constB23)), introduced(assumption)).
% 82.27/51.92 tff(24,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(25,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[24, 19, 23])).
% 82.27/51.92 tff(26,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(27,assumption,(v26(constB21)), introduced(assumption)).
% 82.27/51.92 tff(28,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(29,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[28, 19, 27])).
% 82.27/51.92 tff(30,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(31,assumption,(v26(constB13)), introduced(assumption)).
% 82.27/51.92 tff(32,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(33,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[32, 19, 31])).
% 82.27/51.92 tff(34,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(35,assumption,(v26(constB11)), introduced(assumption)).
% 82.27/51.92 tff(36,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(37,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[36, 19, 35])).
% 82.27/51.92 tff(38,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(39,assumption,(v26(constB7)), introduced(assumption)).
% 82.27/51.92 tff(40,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(41,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[40, 19, 39])).
% 82.27/51.92 tff(42,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(43,assumption,(v26(constB5)), introduced(assumption)).
% 82.27/51.92 tff(44,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(45,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[44, 19, 43])).
% 82.27/51.92 tff(46,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(47,assumption,(v26(constB1)), introduced(assumption)).
% 82.27/51.92 tff(48,plain,
% 82.27/51.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(49,plain,
% 82.27/51.92 ($false),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[48, 19, 47])).
% 82.27/51.92 tff(50,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 82.27/51.92 tff(51,plain,
% 82.27/51.92 ((~v1(constB1)) <=> (~v1(constB1))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(52,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 82.27/51.92 tff(53,plain,
% 82.27/51.92 (~v1(constB1)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[52, 51])).
% 82.27/51.92 tff(54,plain,
% 82.27/51.92 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(55,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 82.27/51.92 tff(56,plain,
% 82.27/51.92 (nextState(constB0, constB1)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[55, 54])).
% 82.27/51.92 tff(57,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(58,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[57])).
% 82.27/51.92 tff(59,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(60,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(61,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[60])).
% 82.27/51.92 tff(62,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 82.27/51.92 tff(63,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[62, 61])).
% 82.27/51.92 tff(64,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[63, 59])).
% 82.27/51.92 tff(65,plain,(
% 82.27/51.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(skolemize,[status(sab)],[64])).
% 82.27/51.92 tff(66,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[65, 58])).
% 82.27/51.92 tff(67,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(68,plain,
% 82.27/51.92 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(69,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 82.27/51.92 inference(monotonicity,[status(thm)],[68])).
% 82.27/51.92 tff(70,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 82.27/51.92 inference(transitivity,[status(thm)],[69, 67])).
% 82.27/51.92 tff(71,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(72,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[71, 70])).
% 82.27/51.92 tff(73,plain,
% 82.27/51.92 (~v101(constB1)),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[72, 66, 56, 53])).
% 82.27/51.92 tff(74,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(75,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[74])).
% 82.27/51.92 tff(76,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(77,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(78,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[77])).
% 82.27/51.92 tff(79,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 82.27/51.92 tff(80,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[79, 78])).
% 82.27/51.92 tff(81,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[80, 76])).
% 82.27/51.92 tff(82,plain,(
% 82.27/51.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(skolemize,[status(sab)],[81])).
% 82.27/51.92 tff(83,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[82, 75])).
% 82.27/51.92 tff(84,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(85,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(86,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[85, 84])).
% 82.27/51.92 tff(87,plain,
% 82.27/51.92 (v101(constB1) | (~v100(constB1))),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[86, 83, 56])).
% 82.27/51.92 tff(88,plain,
% 82.27/51.92 (~v100(constB1)),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[87, 73])).
% 82.27/51.92 tff(89,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(90,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[89])).
% 82.27/51.92 tff(91,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(92,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(93,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[92])).
% 82.27/51.92 tff(94,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 82.27/51.92 tff(95,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[94, 93])).
% 82.27/51.92 tff(96,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[95, 91])).
% 82.27/51.92 tff(97,plain,(
% 82.27/51.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(skolemize,[status(sab)],[96])).
% 82.27/51.92 tff(98,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[97, 90])).
% 82.27/51.92 tff(99,plain,
% 82.27/51.92 ((~v90(constB0, 2)) <=> (~v90(constB0, 2))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(100,axiom,(~v90(constB0, 2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 82.27/51.92 tff(101,plain,
% 82.27/51.92 (~v90(constB0, 2)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[100, 99])).
% 82.27/51.92 tff(102,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(103,plain,
% 82.27/51.92 (((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2))) <=> (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(104,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))))),
% 82.27/51.92 inference(monotonicity,[status(thm)],[103])).
% 82.27/51.92 tff(105,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 82.27/51.92 inference(transitivity,[status(thm)],[104, 102])).
% 82.27/51.92 tff(106,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(107,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[106, 105])).
% 82.27/51.92 tff(108,plain,
% 82.27/51.92 (v100(constB1) | (~v90(constB1, 2))),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[107, 101, 98, 56])).
% 82.27/51.92 tff(109,plain,
% 82.27/51.92 (~v90(constB1, 2)),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[108, 88])).
% 82.27/51.92 tff(110,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(111,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[110])).
% 82.27/51.92 tff(112,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(113,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(114,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[113])).
% 82.27/51.92 tff(115,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 82.27/51.92 tff(116,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[115, 114])).
% 82.27/51.92 tff(117,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[116, 112])).
% 82.27/51.92 tff(118,plain,(
% 82.27/51.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(skolemize,[status(sab)],[117])).
% 82.27/51.92 tff(119,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[118, 111])).
% 82.27/51.92 tff(120,plain,
% 82.27/51.92 ((~v90(constB0, 1)) <=> (~v90(constB0, 1))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(121,axiom,(~v90(constB0, 1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 82.27/51.92 tff(122,plain,
% 82.27/51.92 (~v90(constB0, 1)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[121, 120])).
% 82.27/51.92 tff(123,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(124,plain,
% 82.27/51.92 (((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1))) <=> (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(125,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))))),
% 82.27/51.92 inference(monotonicity,[status(thm)],[124])).
% 82.27/51.92 tff(126,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 82.27/51.92 inference(transitivity,[status(thm)],[125, 123])).
% 82.27/51.92 tff(127,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))),
% 82.27/51.92 inference(quant_inst,[status(thm)],[])).
% 82.27/51.92 tff(128,plain,
% 82.27/51.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[127, 126])).
% 82.27/51.92 tff(129,plain,
% 82.27/51.92 (v100(constB1) | (~v90(constB1, 1))),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[128, 122, 119, 56])).
% 82.27/51.92 tff(130,plain,
% 82.27/51.92 (~v90(constB1, 1)),
% 82.27/51.92 inference(unit_resolution,[status(thm)],[129, 88])).
% 82.27/51.92 tff(131,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(132,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[131])).
% 82.27/51.92 tff(133,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(134,plain,
% 82.27/51.92 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))))),
% 82.27/51.92 inference(bind,[status(th)],[])).
% 82.27/51.92 tff(135,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(quant_intro,[status(thm)],[134])).
% 82.27/51.92 tff(136,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 82.27/51.92 tff(137,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[136, 135])).
% 82.27/51.92 tff(138,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[137, 133])).
% 82.27/51.92 tff(139,plain,(
% 82.27/51.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(skolemize,[status(sab)],[138])).
% 82.27/51.92 tff(140,plain,
% 82.27/51.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[139, 132])).
% 82.27/51.92 tff(141,plain,
% 82.27/51.92 ((~v90(constB0, 0)) <=> (~v90(constB0, 0))),
% 82.27/51.92 inference(rewrite,[status(thm)],[])).
% 82.27/51.92 tff(142,axiom,(~v90(constB0, 0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 82.27/51.92 tff(143,plain,
% 82.27/51.92 (~v90(constB0, 0)),
% 82.27/51.92 inference(modus_ponens,[status(thm)],[142, 141])).
% 82.27/51.92 tff(144,plain,
% 82.27/51.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(145,plain,
% 82.27/51.93 (((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0))) <=> (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(146,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[145])).
% 82.27/51.93 tff(147,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[146, 144])).
% 82.27/51.93 tff(148,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(149,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[148, 147])).
% 82.27/51.93 tff(150,plain,
% 82.27/51.93 (v100(constB1) | (~v90(constB1, 0))),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[149, 143, 140, 56])).
% 82.27/51.93 tff(151,plain,
% 82.27/51.93 (~v90(constB1, 0)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[150, 88])).
% 82.27/51.93 tff(152,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(153,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[152])).
% 82.27/51.93 tff(154,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(155,plain,
% 82.27/51.93 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(156,plain,
% 82.27/51.93 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[155])).
% 82.27/51.93 tff(157,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 82.27/51.93 tff(158,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[157, 156])).
% 82.27/51.93 tff(159,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[158, 154])).
% 82.27/51.93 tff(160,plain,(
% 82.27/51.93 ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(skolemize,[status(sab)],[159])).
% 82.27/51.93 tff(161,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[160, 153])).
% 82.27/51.93 tff(162,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(163,plain,
% 82.27/51.93 ((v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2)) <=> (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(164,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[163])).
% 82.27/51.93 tff(165,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 82.27/51.93 inference(transitivity,[status(thm)],[164, 162])).
% 82.27/51.93 tff(166,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(167,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[166, 165])).
% 82.27/51.93 tff(168,plain,
% 82.27/51.93 (v119(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[167, 161, 151, 130, 109])).
% 82.27/51.93 tff(169,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(170,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[169])).
% 82.27/51.93 tff(171,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(172,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 82.27/51.93 tff(173,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[172, 171])).
% 82.27/51.93 tff(174,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[173])).
% 82.27/51.93 tff(175,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[174, 170])).
% 82.27/51.93 tff(176,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(177,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(178,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[177, 176])).
% 82.27/51.93 tff(179,plain,
% 82.27/51.93 (v118(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[178, 175, 168])).
% 82.27/51.93 tff(180,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(181,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[180])).
% 82.27/51.93 tff(182,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(183,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 82.27/51.93 tff(184,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[183, 182])).
% 82.27/51.93 tff(185,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[184])).
% 82.27/51.93 tff(186,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[185, 181])).
% 82.27/51.93 tff(187,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(188,plain,
% 82.27/51.93 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(189,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[188])).
% 82.27/51.93 tff(190,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[189, 187])).
% 82.27/51.93 tff(191,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(192,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[191, 190])).
% 82.27/51.93 tff(193,plain,
% 82.27/51.93 (v117(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[192, 186, 179])).
% 82.27/51.93 tff(194,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(195,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[194])).
% 82.27/51.93 tff(196,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(197,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 82.27/51.93 tff(198,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[197, 196])).
% 82.27/51.93 tff(199,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[198])).
% 82.27/51.93 tff(200,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[199, 195])).
% 82.27/51.93 tff(201,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(202,plain,
% 82.27/51.93 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(203,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[202])).
% 82.27/51.93 tff(204,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[203, 201])).
% 82.27/51.93 tff(205,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(206,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[205, 204])).
% 82.27/51.93 tff(207,plain,
% 82.27/51.93 (v116(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[206, 200, 193])).
% 82.27/51.93 tff(208,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(209,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[208])).
% 82.27/51.93 tff(210,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(211,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 82.27/51.93 tff(212,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[211, 210])).
% 82.27/51.93 tff(213,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[212])).
% 82.27/51.93 tff(214,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[213, 209])).
% 82.27/51.93 tff(215,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(216,plain,
% 82.27/51.93 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(217,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[216])).
% 82.27/51.93 tff(218,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[217, 215])).
% 82.27/51.93 tff(219,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(220,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[219, 218])).
% 82.27/51.93 tff(221,plain,
% 82.27/51.93 (v115(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[220, 214, 207])).
% 82.27/51.93 tff(222,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(223,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[222])).
% 82.27/51.93 tff(224,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(225,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 82.27/51.93 tff(226,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[225, 224])).
% 82.27/51.93 tff(227,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[226])).
% 82.27/51.93 tff(228,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[227, 223])).
% 82.27/51.93 tff(229,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(230,plain,
% 82.27/51.93 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(231,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[230])).
% 82.27/51.93 tff(232,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[231, 229])).
% 82.27/51.93 tff(233,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(234,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[233, 232])).
% 82.27/51.93 tff(235,plain,
% 82.27/51.93 (v114(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[234, 228, 221])).
% 82.27/51.93 tff(236,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(237,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[236])).
% 82.27/51.93 tff(238,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(239,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 82.27/51.93 tff(240,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[239, 238])).
% 82.27/51.93 tff(241,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[240])).
% 82.27/51.93 tff(242,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[241, 237])).
% 82.27/51.93 tff(243,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(244,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(245,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[244, 243])).
% 82.27/51.93 tff(246,plain,
% 82.27/51.93 (v113(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[245, 242, 235])).
% 82.27/51.93 tff(247,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(248,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[247])).
% 82.27/51.93 tff(249,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(250,plain,
% 82.27/51.93 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(251,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[250])).
% 82.27/51.93 tff(252,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 82.27/51.93 tff(253,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[252, 251])).
% 82.27/51.93 tff(254,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[253, 249])).
% 82.27/51.93 tff(255,plain,(
% 82.27/51.93 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[254])).
% 82.27/51.93 tff(256,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[255, 248])).
% 82.27/51.93 tff(257,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(258,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(259,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[258, 257])).
% 82.27/51.93 tff(260,plain,
% 82.27/51.93 (v26(constB1) | v112(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[259, 256, 246])).
% 82.27/51.93 tff(261,plain,
% 82.27/51.93 (v112(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[260, 50])).
% 82.27/51.93 tff(262,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(263,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[262])).
% 82.27/51.93 tff(264,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(265,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 82.27/51.93 tff(266,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[265, 264])).
% 82.27/51.93 tff(267,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 82.27/51.93 inference(skolemize,[status(sab)],[266])).
% 82.27/51.93 tff(268,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[267, 263])).
% 82.27/51.93 tff(269,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(270,plain,
% 82.27/51.93 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(271,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[270])).
% 82.27/51.93 tff(272,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[271, 269])).
% 82.27/51.93 tff(273,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(274,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[273, 272])).
% 82.27/51.93 tff(275,plain,
% 82.27/51.93 (v108(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[274, 268, 261])).
% 82.27/51.93 tff(276,plain,
% 82.27/51.93 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(277,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 82.27/51.93 tff(278,plain,
% 82.27/51.93 (nextState(constB1, constB2)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[277, 276])).
% 82.27/51.93 tff(279,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(280,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[279])).
% 82.27/51.93 tff(281,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(282,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(283,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[282])).
% 82.27/51.93 tff(284,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 82.27/51.93 tff(285,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[284, 283])).
% 82.27/51.93 tff(286,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[285, 281])).
% 82.27/51.93 tff(287,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(skolemize,[status(sab)],[286])).
% 82.27/51.93 tff(288,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[287, 280])).
% 82.27/51.93 tff(289,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(290,plain,
% 82.27/51.93 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(291,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[290])).
% 82.27/51.93 tff(292,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[291, 289])).
% 82.27/51.93 tff(293,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(294,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[293, 292])).
% 82.27/51.93 tff(295,plain,
% 82.27/51.93 (v110(constB2) | (~v108(constB1))),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[294, 288, 278])).
% 82.27/51.93 tff(296,plain,
% 82.27/51.93 (v110(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[295, 275])).
% 82.27/51.93 tff(297,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(298,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[297])).
% 82.27/51.93 tff(299,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(300,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(301,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[300])).
% 82.27/51.93 tff(302,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 82.27/51.93 tff(303,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[302, 301])).
% 82.27/51.93 tff(304,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[303, 299])).
% 82.27/51.93 tff(305,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(skolemize,[status(sab)],[304])).
% 82.27/51.93 tff(306,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[305, 298])).
% 82.27/51.93 tff(307,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(308,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(309,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[308, 307])).
% 82.27/51.93 tff(310,plain,
% 82.27/51.93 (~v104(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[309, 306, 278, 53])).
% 82.27/51.93 tff(311,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(312,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[311])).
% 82.27/51.93 tff(313,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(314,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(315,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[314])).
% 82.27/51.93 tff(316,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 82.27/51.93 tff(317,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[316, 315])).
% 82.27/51.93 tff(318,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[317, 313])).
% 82.27/51.93 tff(319,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(skolemize,[status(sab)],[318])).
% 82.27/51.93 tff(320,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[319, 312])).
% 82.27/51.93 tff(321,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(322,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(323,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[322, 321])).
% 82.27/51.93 tff(324,plain,
% 82.27/51.93 (v102(constB2) | v104(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[323, 320, 278])).
% 82.27/51.93 tff(325,plain,
% 82.27/51.93 (v102(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[324, 310])).
% 82.27/51.93 tff(326,plain,
% 82.27/51.93 (v1(constB2) <=> v1(constB2)),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(327,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 82.27/51.93 tff(328,plain,
% 82.27/51.93 (v1(constB2)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[327, 326])).
% 82.27/51.93 tff(329,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(330,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[329])).
% 82.27/51.93 tff(331,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(332,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(333,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[332])).
% 82.27/51.93 tff(334,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 82.27/51.93 tff(335,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[334, 333])).
% 82.27/51.93 tff(336,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[335, 331])).
% 82.27/51.93 tff(337,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(skolemize,[status(sab)],[336])).
% 82.27/51.93 tff(338,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[337, 330])).
% 82.27/51.93 tff(339,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(340,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(341,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[340, 339])).
% 82.27/51.93 tff(342,plain,
% 82.27/51.93 (v101(constB2) | (~v102(constB2))),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[341, 338, 278, 328])).
% 82.27/51.93 tff(343,plain,
% 82.27/51.93 (v101(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[342, 325])).
% 82.27/51.93 tff(344,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(345,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[344])).
% 82.27/51.93 tff(346,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(347,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(348,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[347])).
% 82.27/51.93 tff(349,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 82.27/51.93 tff(350,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[349, 348])).
% 82.27/51.93 tff(351,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[350, 346])).
% 82.27/51.93 tff(352,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(skolemize,[status(sab)],[351])).
% 82.27/51.93 tff(353,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[352, 345])).
% 82.27/51.93 tff(354,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(355,plain,
% 82.27/51.93 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(356,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[355])).
% 82.27/51.93 tff(357,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 82.27/51.93 inference(transitivity,[status(thm)],[356, 354])).
% 82.27/51.93 tff(358,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(359,plain,
% 82.27/51.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[358, 357])).
% 82.27/51.93 tff(360,plain,
% 82.27/51.93 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[359, 353, 278])).
% 82.27/51.93 tff(361,plain,
% 82.27/51.93 (v100(constB2) | (~v110(constB2))),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[360, 343])).
% 82.27/51.93 tff(362,plain,
% 82.27/51.93 (v100(constB2)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[361, 296])).
% 82.27/51.93 tff(363,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 1))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(364,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[363])).
% 82.27/51.93 tff(365,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(366,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_2')).
% 82.27/51.93 tff(367,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[366, 365])).
% 82.27/51.93 tff(368,plain,(
% 82.27/51.93 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.27/51.93 inference(skolemize,[status(sab)],[367])).
% 82.27/51.93 tff(369,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[368, 364])).
% 82.27/51.93 tff(370,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(371,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(372,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[371, 370])).
% 82.27/51.93 tff(373,plain,
% 82.27/51.93 (~v130(constB1, 1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[372, 369, 168])).
% 82.27/51.93 tff(374,plain,
% 82.27/51.93 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(375,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[374])).
% 82.27/51.93 tff(376,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(377,plain,
% 82.27/51.93 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(378,plain,
% 82.27/51.93 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[377])).
% 82.27/51.93 tff(379,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 82.27/51.93 tff(380,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[379, 378])).
% 82.27/51.93 tff(381,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[380, 376])).
% 82.27/51.93 tff(382,plain,(
% 82.27/51.93 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(skolemize,[status(sab)],[381])).
% 82.27/51.93 tff(383,plain,
% 82.27/51.93 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[382, 375])).
% 82.27/51.93 tff(384,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(385,plain,
% 82.27/51.93 ((v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1))) <=> ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(386,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)))),
% 82.27/51.93 inference(monotonicity,[status(thm)],[385])).
% 82.27/51.93 tff(387,plain,
% 82.27/51.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 82.27/51.93 inference(transitivity,[status(thm)],[386, 384])).
% 82.27/51.93 tff(388,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))),
% 82.27/51.93 inference(quant_inst,[status(thm)],[])).
% 82.27/51.93 tff(389,plain,
% 82.27/51.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[388, 387])).
% 82.27/51.93 tff(390,plain,
% 82.27/51.93 ((~v127(constB1, 1)) | v26(constB1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[389, 383, 373])).
% 82.27/51.93 tff(391,plain,
% 82.27/51.93 (~v127(constB1, 1)),
% 82.27/51.93 inference(unit_resolution,[status(thm)],[390, 50])).
% 82.27/51.93 tff(392,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(393,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[392])).
% 82.27/51.93 tff(394,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(rewrite,[status(thm)],[])).
% 82.27/51.93 tff(395,plain,
% 82.27/51.93 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 82.27/51.93 inference(bind,[status(th)],[])).
% 82.27/51.93 tff(396,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(quant_intro,[status(thm)],[395])).
% 82.27/51.93 tff(397,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 82.27/51.93 tff(398,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[397, 396])).
% 82.27/51.93 tff(399,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[398, 394])).
% 82.27/51.93 tff(400,plain,(
% 82.27/51.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(skolemize,[status(sab)],[399])).
% 82.27/51.93 tff(401,plain,
% 82.27/51.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 82.27/51.93 inference(modus_ponens,[status(thm)],[400, 393])).
% 82.27/51.93 tff(402,plain,
% 82.27/51.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 82.27/51.94 inference(rewrite,[status(thm)],[])).
% 82.27/51.94 tff(403,plain,
% 82.27/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 82.27/51.94 inference(quant_inst,[status(thm)],[])).
% 82.27/51.94 tff(404,plain,
% 82.27/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1))),
% 82.27/51.94 inference(modus_ponens,[status(thm)],[403, 402])).
% 82.27/51.94 tff(405,plain,
% 82.27/51.94 (v127(constB1, 1) | (~v129(constB2, 1))),
% 82.27/51.94 inference(unit_resolution,[status(thm)],[404, 401, 278])).
% 82.27/51.94 tff(406,plain,
% 82.27/51.94 (~v129(constB2, 1)),
% 82.27/51.94 inference(unit_resolution,[status(thm)],[405, 391])).
% 82.27/51.94 tff(407,plain,
% 82.27/51.94 (^[VarNext: state_type] : refl(((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 82.27/51.94 inference(bind,[status(th)],[])).
% 82.27/51.94 tff(408,plain,
% 82.27/51.94 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.27/51.94 inference(quant_intro,[status(thm)],[407])).
% 82.27/51.94 tff(409,plain,
% 82.27/51.94 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.27/51.94 inference(rewrite,[status(thm)],[])).
% 82.27/51.94 tff(410,plain,
% 82.27/51.94 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 82.27/51.94 inference(bind,[status(th)],[])).
% 82.27/51.94 tff(411,plain,
% 82.37/51.94 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[410])).
% 82.37/51.94 tff(412,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 82.37/51.94 tff(413,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[412, 411])).
% 82.37/51.94 tff(414,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[413, 409])).
% 82.37/51.94 tff(415,plain,(
% 82.37/51.94 ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.37/51.94 inference(skolemize,[status(sab)],[414])).
% 82.37/51.94 tff(416,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[415, 408])).
% 82.37/51.94 tff(417,plain,
% 82.37/51.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(418,plain,
% 82.37/51.94 (((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1)) <=> ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(419,plain,
% 82.37/51.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[418])).
% 82.37/51.94 tff(420,plain,
% 82.37/51.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 82.37/51.94 inference(transitivity,[status(thm)],[419, 417])).
% 82.37/51.94 tff(421,plain,
% 82.37/51.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(422,plain,
% 82.37/51.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[421, 420])).
% 82.37/51.94 tff(423,plain,
% 82.37/51.94 ((~v90(constB2, 1)) | (~v100(constB2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[422, 416, 406])).
% 82.37/51.94 tff(424,plain,
% 82.37/51.94 (~v90(constB2, 1)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[423, 362])).
% 82.37/51.94 tff(425,plain,
% 82.37/51.94 ((~v1(constB3)) <=> (~v1(constB3))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(426,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 82.37/51.94 tff(427,plain,
% 82.37/51.94 (~v1(constB3)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[426, 425])).
% 82.37/51.94 tff(428,plain,
% 82.37/51.94 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(429,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 82.37/51.94 tff(430,plain,
% 82.37/51.94 (nextState(constB2, constB3)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[429, 428])).
% 82.37/51.94 tff(431,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(432,plain,
% 82.37/51.94 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(433,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[432])).
% 82.37/51.94 tff(434,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 82.37/51.94 inference(transitivity,[status(thm)],[433, 431])).
% 82.37/51.94 tff(435,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(436,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[435, 434])).
% 82.37/51.94 tff(437,plain,
% 82.37/51.94 (~v101(constB3)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[436, 66, 430, 427])).
% 82.37/51.94 tff(438,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(439,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(440,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[439, 438])).
% 82.37/51.94 tff(441,plain,
% 82.37/51.94 (v101(constB3) | (~v100(constB3))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[440, 83, 430])).
% 82.37/51.94 tff(442,plain,
% 82.37/51.94 (~v100(constB3)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[441, 437])).
% 82.37/51.94 tff(443,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(444,plain,
% 82.37/51.94 (((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))) <=> (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(445,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[444])).
% 82.37/51.94 tff(446,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 82.37/51.94 inference(transitivity,[status(thm)],[445, 443])).
% 82.37/51.94 tff(447,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(448,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[447, 446])).
% 82.37/51.94 tff(449,plain,
% 82.37/51.94 (v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[448, 119, 430])).
% 82.37/51.94 tff(450,plain,
% 82.37/51.94 (v90(constB2, 1) | (~v90(constB3, 1))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[449, 442])).
% 82.37/51.94 tff(451,plain,
% 82.37/51.94 (~v90(constB3, 1)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[450, 424])).
% 82.37/51.94 tff(452,assumption,(~v90(constB3, 1)), introduced(assumption)).
% 82.37/51.94 tff(453,assumption,(~v26(constB1)), introduced(assumption)).
% 82.37/51.94 tff(454,plain,
% 82.37/51.94 (v112(constB1)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[260, 453])).
% 82.37/51.94 tff(455,plain,
% 82.37/51.94 (v108(constB1)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[274, 268, 454])).
% 82.37/51.94 tff(456,plain,
% 82.37/51.94 (v110(constB2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[295, 455])).
% 82.37/51.94 tff(457,plain,
% 82.37/51.94 (v100(constB2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[361, 456])).
% 82.37/51.94 tff(458,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ((~v119(VarCurr)) | v130(VarCurr, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(459,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[458])).
% 82.37/51.94 tff(460,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(461,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_1')).
% 82.37/51.94 tff(462,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[461, 460])).
% 82.37/51.94 tff(463,plain,(
% 82.37/51.94 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.94 inference(skolemize,[status(sab)],[462])).
% 82.37/51.94 tff(464,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[463, 459])).
% 82.37/51.94 tff(465,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(466,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(467,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[466, 465])).
% 82.37/51.94 tff(468,plain,
% 82.37/51.94 (v130(constB1, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[467, 464, 168])).
% 82.37/51.94 tff(469,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(470,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[469])).
% 82.37/51.94 tff(471,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(472,plain,
% 82.37/51.94 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(473,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[472])).
% 82.37/51.94 tff(474,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 82.37/51.94 tff(475,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[474, 473])).
% 82.37/51.94 tff(476,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[475, 471])).
% 82.37/51.94 tff(477,plain,(
% 82.37/51.94 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(skolemize,[status(sab)],[476])).
% 82.37/51.94 tff(478,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[477, 470])).
% 82.37/51.94 tff(479,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(480,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(481,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[480, 479])).
% 82.37/51.94 tff(482,plain,
% 82.37/51.94 (v26(constB1) | v127(constB1, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[481, 478, 468])).
% 82.37/51.94 tff(483,plain,
% 82.37/51.94 (v127(constB1, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[482, 453])).
% 82.37/51.94 tff(484,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(485,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[484])).
% 82.37/51.94 tff(486,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(487,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(488,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[487])).
% 82.37/51.94 tff(489,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 82.37/51.94 tff(490,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[489, 488])).
% 82.37/51.94 tff(491,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[490, 486])).
% 82.37/51.94 tff(492,plain,(
% 82.37/51.94 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(skolemize,[status(sab)],[491])).
% 82.37/51.94 tff(493,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[492, 485])).
% 82.37/51.94 tff(494,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(495,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(496,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[495, 494])).
% 82.37/51.94 tff(497,plain,
% 82.37/51.94 ((~v127(constB1, 0)) | v129(constB2, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[496, 493, 278])).
% 82.37/51.94 tff(498,plain,
% 82.37/51.94 (v129(constB2, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[497, 483])).
% 82.37/51.94 tff(499,plain,
% 82.37/51.94 (^[VarNext: state_type] : refl((v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(500,plain,
% 82.37/51.94 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[499])).
% 82.37/51.94 tff(501,plain,
% 82.37/51.94 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(502,plain,
% 82.37/51.94 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(503,plain,
% 82.37/51.94 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[502])).
% 82.37/51.94 tff(504,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 82.37/51.94 tff(505,plain,
% 82.37/51.94 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[504, 503])).
% 82.37/51.94 tff(506,plain,
% 82.37/51.94 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[505, 501])).
% 82.37/51.94 tff(507,plain,(
% 82.37/51.94 ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(skolemize,[status(sab)],[506])).
% 82.37/51.94 tff(508,plain,
% 82.37/51.94 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[507, 500])).
% 82.37/51.94 tff(509,plain,
% 82.37/51.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(510,plain,
% 82.37/51.94 ((v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0))) <=> (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(511,plain,
% 82.37/51.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[510])).
% 82.37/51.94 tff(512,plain,
% 82.37/51.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 82.37/51.94 inference(transitivity,[status(thm)],[511, 509])).
% 82.37/51.94 tff(513,plain,
% 82.37/51.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(514,plain,
% 82.37/51.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[513, 512])).
% 82.37/51.94 tff(515,plain,
% 82.37/51.94 (v90(constB2, 0) | (~v100(constB2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[514, 508, 498])).
% 82.37/51.94 tff(516,plain,
% 82.37/51.94 (v90(constB2, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[515, 457])).
% 82.37/51.94 tff(517,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(518,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[517])).
% 82.37/51.94 tff(519,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(520,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(521,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[520])).
% 82.37/51.94 tff(522,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 82.37/51.94 tff(523,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[522, 521])).
% 82.37/51.94 tff(524,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[523, 519])).
% 82.37/51.94 tff(525,plain,(
% 82.37/51.94 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(skolemize,[status(sab)],[524])).
% 82.37/51.94 tff(526,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[525, 518])).
% 82.37/51.94 tff(527,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(528,plain,
% 82.37/51.94 (((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)) <=> ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(529,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[528])).
% 82.37/51.94 tff(530,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 82.37/51.94 inference(transitivity,[status(thm)],[529, 527])).
% 82.37/51.94 tff(531,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(532,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[531, 530])).
% 82.37/51.94 tff(533,plain,
% 82.37/51.94 ((~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[532, 526, 430])).
% 82.37/51.94 tff(534,plain,
% 82.37/51.94 ((~v90(constB2, 0)) | v90(constB3, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[533, 442])).
% 82.37/51.94 tff(535,plain,
% 82.37/51.94 (v90(constB3, 0)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[534, 516])).
% 82.37/51.94 tff(536,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 2))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(537,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[536])).
% 82.37/51.94 tff(538,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(539,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_3')).
% 82.37/51.94 tff(540,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[539, 538])).
% 82.37/51.94 tff(541,plain,(
% 82.37/51.94 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.94 inference(skolemize,[status(sab)],[540])).
% 82.37/51.94 tff(542,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[541, 537])).
% 82.37/51.94 tff(543,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(544,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(545,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[544, 543])).
% 82.37/51.94 tff(546,plain,
% 82.37/51.94 (~v130(constB1, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[545, 542, 168])).
% 82.37/51.94 tff(547,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(548,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[547])).
% 82.37/51.94 tff(549,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(550,plain,
% 82.37/51.94 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(551,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[550])).
% 82.37/51.94 tff(552,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 82.37/51.94 tff(553,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[552, 551])).
% 82.37/51.94 tff(554,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[553, 549])).
% 82.37/51.94 tff(555,plain,(
% 82.37/51.94 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(skolemize,[status(sab)],[554])).
% 82.37/51.94 tff(556,plain,
% 82.37/51.94 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[555, 548])).
% 82.37/51.94 tff(557,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(558,plain,
% 82.37/51.94 ((v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2))) <=> ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(559,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[558])).
% 82.37/51.94 tff(560,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 82.37/51.94 inference(transitivity,[status(thm)],[559, 557])).
% 82.37/51.94 tff(561,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(562,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[561, 560])).
% 82.37/51.94 tff(563,plain,
% 82.37/51.94 ((~v127(constB1, 2)) | v26(constB1)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[562, 556, 546])).
% 82.37/51.94 tff(564,plain,
% 82.37/51.94 (~v127(constB1, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[563, 453])).
% 82.37/51.94 tff(565,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(566,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[565])).
% 82.37/51.94 tff(567,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(568,plain,
% 82.37/51.94 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(569,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[568])).
% 82.37/51.94 tff(570,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 82.37/51.94 tff(571,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[570, 569])).
% 82.37/51.94 tff(572,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[571, 567])).
% 82.37/51.94 tff(573,plain,(
% 82.37/51.94 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(skolemize,[status(sab)],[572])).
% 82.37/51.94 tff(574,plain,
% 82.37/51.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[573, 566])).
% 82.37/51.94 tff(575,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(576,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(577,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[576, 575])).
% 82.37/51.94 tff(578,plain,
% 82.37/51.94 (v127(constB1, 2) | (~v129(constB2, 2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[577, 574, 278])).
% 82.37/51.94 tff(579,plain,
% 82.37/51.94 (~v129(constB2, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[578, 564])).
% 82.37/51.94 tff(580,plain,
% 82.37/51.94 (^[VarNext: state_type] : refl(((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(581,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[580])).
% 82.37/51.94 tff(582,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(583,plain,
% 82.37/51.94 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(584,plain,
% 82.37/51.94 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[583])).
% 82.37/51.94 tff(585,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 82.37/51.94 tff(586,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[585, 584])).
% 82.37/51.94 tff(587,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[586, 582])).
% 82.37/51.94 tff(588,plain,(
% 82.37/51.94 ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(skolemize,[status(sab)],[587])).
% 82.37/51.94 tff(589,plain,
% 82.37/51.94 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[588, 581])).
% 82.37/51.94 tff(590,plain,
% 82.37/51.94 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(591,plain,
% 82.37/51.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(592,plain,
% 82.37/51.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[591, 590])).
% 82.37/51.94 tff(593,plain,
% 82.37/51.94 ((~v90(constB2, 2)) | (~v100(constB2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[592, 589, 579])).
% 82.37/51.94 tff(594,plain,
% 82.37/51.94 (~v90(constB2, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[593, 457])).
% 82.37/51.94 tff(595,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(596,plain,
% 82.37/51.94 (((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))) <=> (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(597,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))))),
% 82.37/51.94 inference(monotonicity,[status(thm)],[596])).
% 82.37/51.94 tff(598,plain,
% 82.37/51.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 82.37/51.94 inference(transitivity,[status(thm)],[597, 595])).
% 82.37/51.94 tff(599,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(600,plain,
% 82.37/51.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[599, 598])).
% 82.37/51.94 tff(601,plain,
% 82.37/51.94 (v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[600, 98, 430])).
% 82.37/51.94 tff(602,plain,
% 82.37/51.94 (v90(constB2, 2) | (~v90(constB3, 2))),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[601, 442])).
% 82.37/51.94 tff(603,plain,
% 82.37/51.94 (~v90(constB3, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[602, 594])).
% 82.37/51.94 tff(604,assumption,(~v120(constB3)), introduced(assumption)).
% 82.37/51.94 tff(605,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(606,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[605])).
% 82.37/51.94 tff(607,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(608,plain,
% 82.37/51.94 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(609,plain,
% 82.37/51.94 (![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[608])).
% 82.37/51.94 tff(610,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 82.37/51.94 tff(611,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[610, 609])).
% 82.37/51.94 tff(612,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[611, 607])).
% 82.37/51.94 tff(613,plain,(
% 82.37/51.94 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(skolemize,[status(sab)],[612])).
% 82.37/51.94 tff(614,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[613, 606])).
% 82.37/51.94 tff(615,plain,
% 82.37/51.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 82.37/51.94 inference(rewrite,[status(thm)],[])).
% 82.37/51.94 tff(616,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 82.37/51.94 inference(quant_inst,[status(thm)],[])).
% 82.37/51.94 tff(617,plain,
% 82.37/51.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3)),
% 82.37/51.94 inference(modus_ponens,[status(thm)],[616, 615])).
% 82.37/51.94 tff(618,plain,
% 82.37/51.94 ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[617, 614, 604])).
% 82.37/51.94 tff(619,plain,
% 82.37/51.94 ($false),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[618, 603, 535, 452])).
% 82.37/51.94 tff(620,plain,(v26(constB1) | v90(constB3, 1) | v120(constB3)), inference(lemma,lemma(discharge,[]))).
% 82.37/51.94 tff(621,plain,
% 82.37/51.94 (v120(constB3)),
% 82.37/51.94 inference(unit_resolution,[status(thm)],[620, 451, 50])).
% 82.37/51.94 tff(622,plain,
% 82.37/51.94 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 82.37/51.94 inference(bind,[status(th)],[])).
% 82.37/51.94 tff(623,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 82.37/51.94 inference(quant_intro,[status(thm)],[622])).
% 82.37/51.94 tff(624,plain,
% 82.37/51.94 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(625,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 82.37/51.95 tff(626,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[625, 624])).
% 82.37/51.95 tff(627,plain,(
% 82.37/51.95 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 82.37/51.95 inference(skolemize,[status(sab)],[626])).
% 82.37/51.95 tff(628,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[627, 623])).
% 82.37/51.95 tff(629,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(630,plain,
% 82.37/51.95 (((~v120(constB3)) | v118(constB3)) <=> (v118(constB3) | (~v120(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(631,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[630])).
% 82.37/51.95 tff(632,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[631, 629])).
% 82.37/51.95 tff(633,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(634,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[633, 632])).
% 82.37/51.95 tff(635,plain,
% 82.37/51.95 (v118(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[634, 628, 621])).
% 82.37/51.95 tff(636,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(637,plain,
% 82.37/51.95 (((~v118(constB3)) | v117(constB3)) <=> (v117(constB3) | (~v118(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(638,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[637])).
% 82.37/51.95 tff(639,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[638, 636])).
% 82.37/51.95 tff(640,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(641,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[640, 639])).
% 82.37/51.95 tff(642,plain,
% 82.37/51.95 (v117(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[641, 186, 635])).
% 82.37/51.95 tff(643,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(644,plain,
% 82.37/51.95 (((~v117(constB3)) | v116(constB3)) <=> (v116(constB3) | (~v117(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(645,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[644])).
% 82.37/51.95 tff(646,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[645, 643])).
% 82.37/51.95 tff(647,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(648,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[647, 646])).
% 82.37/51.95 tff(649,plain,
% 82.37/51.95 (v116(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[648, 200, 642])).
% 82.37/51.95 tff(650,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(651,plain,
% 82.37/51.95 (((~v116(constB3)) | v115(constB3)) <=> (v115(constB3) | (~v116(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(652,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[651])).
% 82.37/51.95 tff(653,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[652, 650])).
% 82.37/51.95 tff(654,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(655,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[654, 653])).
% 82.37/51.95 tff(656,plain,
% 82.37/51.95 (v115(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[655, 214, 649])).
% 82.37/51.95 tff(657,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(658,plain,
% 82.37/51.95 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(659,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[658])).
% 82.37/51.95 tff(660,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[659, 657])).
% 82.37/51.95 tff(661,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(662,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[661, 660])).
% 82.37/51.95 tff(663,plain,
% 82.37/51.95 (v114(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[662, 228, 656])).
% 82.37/51.95 tff(664,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(665,plain,
% 82.37/51.95 (((~v114(constB3)) | v113(constB3)) <=> (v113(constB3) | (~v114(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(666,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[665])).
% 82.37/51.95 tff(667,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[666, 664])).
% 82.37/51.95 tff(668,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(669,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[668, 667])).
% 82.37/51.95 tff(670,plain,
% 82.37/51.95 (v113(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[669, 242, 663])).
% 82.37/51.95 tff(671,assumption,(~v108(constB3)), introduced(assumption)).
% 82.37/51.95 tff(672,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(673,plain,
% 82.37/51.95 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(674,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[673])).
% 82.37/51.95 tff(675,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[674, 672])).
% 82.37/51.95 tff(676,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(677,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[676, 675])).
% 82.37/51.95 tff(678,plain,
% 82.37/51.95 (~v112(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[677, 268, 671])).
% 82.37/51.95 tff(679,plain,
% 82.37/51.95 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(680,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[679])).
% 82.37/51.95 tff(681,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(682,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 82.37/51.95 tff(683,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[682, 681])).
% 82.37/51.95 tff(684,plain,(
% 82.37/51.95 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 82.37/51.95 inference(skolemize,[status(sab)],[683])).
% 82.37/51.95 tff(685,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[684, 680])).
% 82.37/51.95 tff(686,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v26(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(687,plain,
% 82.37/51.95 (((~v26(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v26(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(688,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v26(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[687])).
% 82.37/51.95 tff(689,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v26(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[688, 686])).
% 82.37/51.95 tff(690,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB3)) | v108(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(691,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v26(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[690, 689])).
% 82.37/51.95 tff(692,plain,
% 82.37/51.95 (~v26(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[691, 685, 671])).
% 82.37/51.95 tff(693,assumption,(v113(constB3)), introduced(assumption)).
% 82.37/51.95 tff(694,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(695,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(696,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[695, 694])).
% 82.37/51.95 tff(697,plain,
% 82.37/51.95 (v26(constB3) | v112(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[696, 256, 693])).
% 82.37/51.95 tff(698,plain,
% 82.37/51.95 ($false),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[697, 692, 678])).
% 82.37/51.95 tff(699,plain,(v108(constB3) | (~v113(constB3))), inference(lemma,lemma(discharge,[]))).
% 82.37/51.95 tff(700,plain,
% 82.37/51.95 (v108(constB3)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[699, 670])).
% 82.37/51.95 tff(701,plain,
% 82.37/51.95 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(702,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 82.37/51.95 tff(703,plain,
% 82.37/51.95 (nextState(constB3, constB4)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[702, 701])).
% 82.37/51.95 tff(704,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(705,plain,
% 82.37/51.95 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(706,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[705])).
% 82.37/51.95 tff(707,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[706, 704])).
% 82.37/51.95 tff(708,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(709,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[708, 707])).
% 82.37/51.95 tff(710,plain,
% 82.37/51.95 (v110(constB4) | (~v108(constB3))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[709, 288, 703])).
% 82.37/51.95 tff(711,plain,
% 82.37/51.95 (v110(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[710, 700])).
% 82.37/51.95 tff(712,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(713,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(714,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[713, 712])).
% 82.37/51.95 tff(715,plain,
% 82.37/51.95 (~v104(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[714, 306, 703, 427])).
% 82.37/51.95 tff(716,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(717,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(718,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[717, 716])).
% 82.37/51.95 tff(719,plain,
% 82.37/51.95 (v102(constB4) | v104(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[718, 320, 703])).
% 82.37/51.95 tff(720,plain,
% 82.37/51.95 (v102(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[719, 715])).
% 82.37/51.95 tff(721,plain,
% 82.37/51.95 (v1(constB4) <=> v1(constB4)),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(722,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 82.37/51.95 tff(723,plain,
% 82.37/51.95 (v1(constB4)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[722, 721])).
% 82.37/51.95 tff(724,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(725,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(726,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[725, 724])).
% 82.37/51.95 tff(727,plain,
% 82.37/51.95 (v101(constB4) | (~v102(constB4))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[726, 338, 703, 723])).
% 82.37/51.95 tff(728,plain,
% 82.37/51.95 (v101(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[727, 720])).
% 82.37/51.95 tff(729,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(730,plain,
% 82.37/51.95 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(731,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[730])).
% 82.37/51.95 tff(732,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[731, 729])).
% 82.37/51.95 tff(733,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(734,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[733, 732])).
% 82.37/51.95 tff(735,plain,
% 82.37/51.95 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[734, 353, 703])).
% 82.37/51.95 tff(736,plain,
% 82.37/51.95 (v100(constB4) | (~v110(constB4))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[735, 728])).
% 82.37/51.95 tff(737,plain,
% 82.37/51.95 (v100(constB4)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[736, 711])).
% 82.37/51.95 tff(738,plain,
% 82.37/51.95 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 2))))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(739,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[738])).
% 82.37/51.95 tff(740,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(741,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_3')).
% 82.37/51.95 tff(742,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[741, 740])).
% 82.37/51.95 tff(743,plain,(
% 82.37/51.95 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.95 inference(skolemize,[status(sab)],[742])).
% 82.37/51.95 tff(744,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[743, 739])).
% 82.37/51.95 tff(745,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(746,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(747,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[746, 745])).
% 82.37/51.95 tff(748,plain,
% 82.37/51.95 (~v130(constB3, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[747, 744, 621])).
% 82.37/51.95 tff(749,assumption,(v26(constB3)), introduced(assumption)).
% 82.37/51.95 tff(750,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(751,plain,
% 82.37/51.95 ($false),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[750, 19, 749])).
% 82.37/51.95 tff(752,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 82.37/51.95 tff(753,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(754,plain,
% 82.37/51.95 ((v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2))) <=> ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(755,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[754])).
% 82.37/51.95 tff(756,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 82.37/51.95 inference(transitivity,[status(thm)],[755, 753])).
% 82.37/51.95 tff(757,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(758,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[757, 756])).
% 82.37/51.95 tff(759,plain,
% 82.37/51.95 ((~v127(constB3, 2)) | v130(constB3, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[758, 556, 752])).
% 82.37/51.95 tff(760,plain,
% 82.37/51.95 (~v127(constB3, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[759, 748])).
% 82.37/51.95 tff(761,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(762,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(763,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[762, 761])).
% 82.37/51.95 tff(764,plain,
% 82.37/51.95 (v127(constB3, 2) | (~v129(constB4, 2))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[763, 574, 703])).
% 82.37/51.95 tff(765,plain,
% 82.37/51.95 (~v129(constB4, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[764, 760])).
% 82.37/51.95 tff(766,plain,
% 82.37/51.95 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(767,plain,
% 82.37/51.95 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(768,plain,
% 82.37/51.95 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[767, 766])).
% 82.37/51.95 tff(769,plain,
% 82.37/51.95 ((~v90(constB4, 2)) | (~v100(constB4))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[768, 589, 765])).
% 82.37/51.95 tff(770,plain,
% 82.37/51.95 (~v90(constB4, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[769, 737])).
% 82.37/51.95 tff(771,plain,
% 82.37/51.95 ((~v1(constB5)) <=> (~v1(constB5))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(772,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 82.37/51.95 tff(773,plain,
% 82.37/51.95 (~v1(constB5)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[772, 771])).
% 82.37/51.95 tff(774,plain,
% 82.37/51.95 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(775,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 82.37/51.95 tff(776,plain,
% 82.37/51.95 (nextState(constB4, constB5)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[775, 774])).
% 82.37/51.95 tff(777,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(778,plain,
% 82.37/51.95 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(779,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[778])).
% 82.37/51.95 tff(780,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[779, 777])).
% 82.37/51.95 tff(781,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(782,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[781, 780])).
% 82.37/51.95 tff(783,plain,
% 82.37/51.95 (~v101(constB5)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[782, 66, 776, 773])).
% 82.37/51.95 tff(784,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(785,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(786,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[785, 784])).
% 82.37/51.95 tff(787,plain,
% 82.37/51.95 (v101(constB5) | (~v100(constB5))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[786, 83, 776])).
% 82.37/51.95 tff(788,plain,
% 82.37/51.95 (~v100(constB5)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[787, 783])).
% 82.37/51.95 tff(789,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(790,plain,
% 82.37/51.95 (((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))) <=> (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(791,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[790])).
% 82.37/51.95 tff(792,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[791, 789])).
% 82.37/51.95 tff(793,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(794,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[793, 792])).
% 82.37/51.95 tff(795,plain,
% 82.37/51.95 (v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[794, 98, 776])).
% 82.37/51.95 tff(796,plain,
% 82.37/51.95 (v90(constB4, 2) | (~v90(constB5, 2))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[795, 788])).
% 82.37/51.95 tff(797,plain,
% 82.37/51.95 (~v90(constB5, 2)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[796, 770])).
% 82.37/51.95 tff(798,plain,
% 82.37/51.95 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ((~v120(VarCurr)) | v130(VarCurr, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(799,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[798])).
% 82.37/51.95 tff(800,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(801,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_2')).
% 82.37/51.95 tff(802,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[801, 800])).
% 82.37/51.95 tff(803,plain,(
% 82.37/51.95 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.95 inference(skolemize,[status(sab)],[802])).
% 82.37/51.95 tff(804,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[803, 799])).
% 82.37/51.95 tff(805,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(806,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(807,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[806, 805])).
% 82.37/51.95 tff(808,plain,
% 82.37/51.95 (v130(constB3, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[807, 804, 621])).
% 82.37/51.95 tff(809,plain,
% 82.37/51.95 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(810,plain,
% 82.37/51.95 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[809])).
% 82.37/51.95 tff(811,plain,
% 82.37/51.95 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(812,plain,
% 82.37/51.95 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(813,plain,
% 82.37/51.95 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[812])).
% 82.37/51.95 tff(814,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 82.37/51.95 tff(815,plain,
% 82.37/51.95 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[814, 813])).
% 82.37/51.95 tff(816,plain,
% 82.37/51.95 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[815, 811])).
% 82.37/51.95 tff(817,plain,(
% 82.37/51.95 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(skolemize,[status(sab)],[816])).
% 82.37/51.95 tff(818,plain,
% 82.37/51.95 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[817, 810])).
% 82.37/51.95 tff(819,plain,
% 82.37/51.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(820,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(821,plain,
% 82.37/51.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[820, 819])).
% 82.37/51.95 tff(822,plain,
% 82.37/51.95 ((~v130(constB3, 1)) | v127(constB3, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[821, 818, 752])).
% 82.37/51.95 tff(823,plain,
% 82.37/51.95 (v127(constB3, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[822, 808])).
% 82.37/51.95 tff(824,plain,
% 82.37/51.95 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(825,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[824])).
% 82.37/51.95 tff(826,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(827,plain,
% 82.37/51.95 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(828,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[827])).
% 82.37/51.95 tff(829,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 82.37/51.95 tff(830,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[829, 828])).
% 82.37/51.95 tff(831,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[830, 826])).
% 82.37/51.95 tff(832,plain,(
% 82.37/51.95 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(skolemize,[status(sab)],[831])).
% 82.37/51.95 tff(833,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[832, 825])).
% 82.37/51.95 tff(834,plain,
% 82.37/51.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(835,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(836,plain,
% 82.37/51.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1)),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[835, 834])).
% 82.37/51.95 tff(837,plain,
% 82.37/51.95 ((~v127(constB3, 1)) | v129(constB4, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[836, 833, 703])).
% 82.37/51.95 tff(838,plain,
% 82.37/51.95 (v129(constB4, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[837, 823])).
% 82.37/51.95 tff(839,plain,
% 82.37/51.95 (^[VarNext: state_type] : refl((v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(840,plain,
% 82.37/51.95 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[839])).
% 82.37/51.95 tff(841,plain,
% 82.37/51.95 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(842,plain,
% 82.37/51.95 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(843,plain,
% 82.37/51.95 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[842])).
% 82.37/51.95 tff(844,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 82.37/51.95 tff(845,plain,
% 82.37/51.95 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[844, 843])).
% 82.37/51.95 tff(846,plain,
% 82.37/51.95 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[845, 841])).
% 82.37/51.95 tff(847,plain,(
% 82.37/51.95 ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(skolemize,[status(sab)],[846])).
% 82.37/51.95 tff(848,plain,
% 82.37/51.95 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[847, 840])).
% 82.37/51.95 tff(849,plain,
% 82.37/51.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(850,plain,
% 82.37/51.95 ((v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1))) <=> (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(851,plain,
% 82.37/51.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))))),
% 82.37/51.95 inference(monotonicity,[status(thm)],[850])).
% 82.37/51.95 tff(852,plain,
% 82.37/51.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 82.37/51.95 inference(transitivity,[status(thm)],[851, 849])).
% 82.37/51.95 tff(853,plain,
% 82.37/51.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))),
% 82.37/51.95 inference(quant_inst,[status(thm)],[])).
% 82.37/51.95 tff(854,plain,
% 82.37/51.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))),
% 82.37/51.95 inference(modus_ponens,[status(thm)],[853, 852])).
% 82.37/51.95 tff(855,plain,
% 82.37/51.95 (v90(constB4, 1) | (~v100(constB4))),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[854, 848, 838])).
% 82.37/51.95 tff(856,plain,
% 82.37/51.95 (v90(constB4, 1)),
% 82.37/51.95 inference(unit_resolution,[status(thm)],[855, 737])).
% 82.37/51.95 tff(857,plain,
% 82.37/51.95 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(858,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[857])).
% 82.37/51.95 tff(859,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.95 inference(rewrite,[status(thm)],[])).
% 82.37/51.95 tff(860,plain,
% 82.37/51.95 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))))),
% 82.37/51.95 inference(bind,[status(th)],[])).
% 82.37/51.95 tff(861,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.95 inference(quant_intro,[status(thm)],[860])).
% 82.37/51.95 tff(862,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 82.37/51.95 tff(863,plain,
% 82.37/51.95 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[862, 861])).
% 82.37/51.96 tff(864,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[863, 859])).
% 82.37/51.96 tff(865,plain,(
% 82.37/51.96 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.96 inference(skolemize,[status(sab)],[864])).
% 82.37/51.96 tff(866,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[865, 858])).
% 82.37/51.96 tff(867,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(868,plain,
% 82.37/51.96 (((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)) <=> ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(869,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[868])).
% 82.37/51.96 tff(870,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 82.37/51.96 inference(transitivity,[status(thm)],[869, 867])).
% 82.37/51.96 tff(871,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(872,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[871, 870])).
% 82.37/51.96 tff(873,plain,
% 82.37/51.96 ((~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[872, 866, 776])).
% 82.37/51.96 tff(874,plain,
% 82.37/51.96 ((~v90(constB4, 1)) | v90(constB5, 1)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[873, 788])).
% 82.37/51.96 tff(875,plain,
% 82.37/51.96 (v90(constB5, 1)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[874, 856])).
% 82.37/51.96 tff(876,plain,
% 82.37/51.96 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 0))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(877,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[876])).
% 82.37/51.96 tff(878,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(879,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_1')).
% 82.37/51.96 tff(880,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[879, 878])).
% 82.37/51.96 tff(881,plain,(
% 82.37/51.96 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.96 inference(skolemize,[status(sab)],[880])).
% 82.37/51.96 tff(882,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[881, 877])).
% 82.37/51.96 tff(883,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(884,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(885,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[884, 883])).
% 82.37/51.96 tff(886,plain,
% 82.37/51.96 (~v130(constB3, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[885, 882, 621])).
% 82.37/51.96 tff(887,plain,
% 82.37/51.96 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(888,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[887])).
% 82.37/51.96 tff(889,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(890,plain,
% 82.37/51.96 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(891,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[890])).
% 82.37/51.96 tff(892,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 82.37/51.96 tff(893,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[892, 891])).
% 82.37/51.96 tff(894,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[893, 889])).
% 82.37/51.96 tff(895,plain,(
% 82.37/51.96 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(skolemize,[status(sab)],[894])).
% 82.37/51.96 tff(896,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[895, 888])).
% 82.37/51.96 tff(897,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(898,plain,
% 82.37/51.96 ((v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0))) <=> ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(899,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[898])).
% 82.37/51.96 tff(900,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 82.37/51.96 inference(transitivity,[status(thm)],[899, 897])).
% 82.37/51.96 tff(901,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(902,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[901, 900])).
% 82.37/51.96 tff(903,plain,
% 82.37/51.96 ((~v127(constB3, 0)) | v130(constB3, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[902, 896, 752])).
% 82.37/51.96 tff(904,plain,
% 82.37/51.96 (~v127(constB3, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[903, 886])).
% 82.37/51.96 tff(905,plain,
% 82.37/51.96 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(906,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[905])).
% 82.37/51.96 tff(907,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(908,plain,
% 82.37/51.96 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(909,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[908])).
% 82.37/51.96 tff(910,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 82.37/51.96 tff(911,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[910, 909])).
% 82.37/51.96 tff(912,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[911, 907])).
% 82.37/51.96 tff(913,plain,(
% 82.37/51.96 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(skolemize,[status(sab)],[912])).
% 82.37/51.96 tff(914,plain,
% 82.37/51.96 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[913, 906])).
% 82.37/51.96 tff(915,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(916,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(917,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[916, 915])).
% 82.37/51.96 tff(918,plain,
% 82.37/51.96 (v127(constB3, 0) | (~v129(constB4, 0))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[917, 914, 703])).
% 82.37/51.96 tff(919,plain,
% 82.37/51.96 (~v129(constB4, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[918, 904])).
% 82.37/51.96 tff(920,plain,
% 82.37/51.96 (^[VarNext: state_type] : refl(((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(921,plain,
% 82.37/51.96 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[920])).
% 82.37/51.96 tff(922,plain,
% 82.37/51.96 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(923,plain,
% 82.37/51.96 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(924,plain,
% 82.37/51.96 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[923])).
% 82.37/51.96 tff(925,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 82.37/51.96 tff(926,plain,
% 82.37/51.96 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[925, 924])).
% 82.37/51.96 tff(927,plain,
% 82.37/51.96 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[926, 922])).
% 82.37/51.96 tff(928,plain,(
% 82.37/51.96 ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(skolemize,[status(sab)],[927])).
% 82.37/51.96 tff(929,plain,
% 82.37/51.96 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[928, 921])).
% 82.37/51.96 tff(930,plain,
% 82.37/51.96 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(931,plain,
% 82.37/51.96 (((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0)) <=> ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(932,plain,
% 82.37/51.96 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[931])).
% 82.37/51.96 tff(933,plain,
% 82.37/51.96 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[932, 930])).
% 82.37/51.96 tff(934,plain,
% 82.37/51.96 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(935,plain,
% 82.37/51.96 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[934, 933])).
% 82.37/51.96 tff(936,plain,
% 82.37/51.96 ((~v90(constB4, 0)) | (~v100(constB4))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[935, 929, 919])).
% 82.37/51.96 tff(937,plain,
% 82.37/51.96 (~v90(constB4, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[936, 737])).
% 82.37/51.96 tff(938,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(939,plain,
% 82.37/51.96 (((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))) <=> (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(940,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[939])).
% 82.37/51.96 tff(941,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[940, 938])).
% 82.37/51.96 tff(942,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(943,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[942, 941])).
% 82.37/51.96 tff(944,plain,
% 82.37/51.96 (v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[943, 140, 776])).
% 82.37/51.96 tff(945,plain,
% 82.37/51.96 (v90(constB4, 0) | (~v90(constB5, 0))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[944, 788])).
% 82.37/51.96 tff(946,plain,
% 82.37/51.96 (~v90(constB5, 0)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[945, 937])).
% 82.37/51.96 tff(947,plain,
% 82.37/51.96 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(948,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[947])).
% 82.37/51.96 tff(949,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(950,plain,
% 82.37/51.96 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(951,plain,
% 82.37/51.96 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[950])).
% 82.37/51.96 tff(952,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 82.37/51.96 tff(953,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[952, 951])).
% 82.37/51.96 tff(954,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[953, 949])).
% 82.37/51.96 tff(955,plain,(
% 82.37/51.96 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(skolemize,[status(sab)],[954])).
% 82.37/51.96 tff(956,plain,
% 82.37/51.96 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[955, 948])).
% 82.37/51.96 tff(957,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(958,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(959,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[958, 957])).
% 82.37/51.96 tff(960,plain,
% 82.37/51.96 (v121(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[959, 956, 946, 875, 797])).
% 82.37/51.96 tff(961,plain,
% 82.37/51.96 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(962,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[961])).
% 82.37/51.96 tff(963,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(964,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 82.37/51.96 tff(965,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[964, 963])).
% 82.37/51.96 tff(966,plain,(
% 82.37/51.96 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 82.37/51.96 inference(skolemize,[status(sab)],[965])).
% 82.37/51.96 tff(967,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[966, 962])).
% 82.37/51.96 tff(968,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(969,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(970,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[969, 968])).
% 82.37/51.96 tff(971,plain,
% 82.37/51.96 (v117(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[970, 967, 960])).
% 82.37/51.96 tff(972,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(973,plain,
% 82.37/51.96 (((~v117(constB5)) | v116(constB5)) <=> (v116(constB5) | (~v117(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(974,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB5) | (~v117(constB5))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[973])).
% 82.37/51.96 tff(975,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[974, 972])).
% 82.37/51.96 tff(976,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(977,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB5) | (~v117(constB5))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[976, 975])).
% 82.37/51.96 tff(978,plain,
% 82.37/51.96 (v116(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[977, 200, 971])).
% 82.37/51.96 tff(979,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB5)) | v115(constB5))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(980,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(981,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB5)) | v115(constB5)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[980, 979])).
% 82.37/51.96 tff(982,plain,
% 82.37/51.96 (v115(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[981, 214, 978])).
% 82.37/51.96 tff(983,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(984,plain,
% 82.37/51.96 (((~v115(constB5)) | v114(constB5)) <=> (v114(constB5) | (~v115(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(985,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB5) | (~v115(constB5))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[984])).
% 82.37/51.96 tff(986,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[985, 983])).
% 82.37/51.96 tff(987,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(988,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB5) | (~v115(constB5))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[987, 986])).
% 82.37/51.96 tff(989,plain,
% 82.37/51.96 (v114(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[988, 228, 982])).
% 82.37/51.96 tff(990,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(991,plain,
% 82.37/51.96 (((~v114(constB5)) | v113(constB5)) <=> (v113(constB5) | (~v114(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(992,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[991])).
% 82.37/51.96 tff(993,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[992, 990])).
% 82.37/51.96 tff(994,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(995,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[994, 993])).
% 82.37/51.96 tff(996,plain,
% 82.37/51.96 (v113(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[995, 242, 989])).
% 82.37/51.96 tff(997,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(998,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(999,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[998, 997])).
% 82.37/51.96 tff(1000,plain,
% 82.37/51.96 (v26(constB5) | v112(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[999, 256, 996])).
% 82.37/51.96 tff(1001,plain,
% 82.37/51.96 (v112(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1000, 46])).
% 82.37/51.96 tff(1002,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1003,plain,
% 82.37/51.96 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1004,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[1003])).
% 82.37/51.96 tff(1005,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[1004, 1002])).
% 82.37/51.96 tff(1006,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1007,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 82.37/51.96 tff(1008,plain,
% 82.37/51.96 (v108(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1007, 268, 1001])).
% 82.37/51.96 tff(1009,plain,
% 82.37/51.96 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1010,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 82.37/51.96 tff(1011,plain,
% 82.37/51.96 (nextState(constB5, constB6)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 82.37/51.96 tff(1012,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1013,plain,
% 82.37/51.96 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1014,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[1013])).
% 82.37/51.96 tff(1015,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[1014, 1012])).
% 82.37/51.96 tff(1016,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1017,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 82.37/51.96 tff(1018,plain,
% 82.37/51.96 (v110(constB6) | (~v108(constB5))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1017, 288, 1011])).
% 82.37/51.96 tff(1019,plain,
% 82.37/51.96 (v110(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1018, 1008])).
% 82.37/51.96 tff(1020,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1021,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1022,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 82.37/51.96 tff(1023,plain,
% 82.37/51.96 (~v104(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1022, 306, 1011, 773])).
% 82.37/51.96 tff(1024,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1025,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1026,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 82.37/51.96 tff(1027,plain,
% 82.37/51.96 (v102(constB6) | v104(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1026, 320, 1011])).
% 82.37/51.96 tff(1028,plain,
% 82.37/51.96 (v102(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1027, 1023])).
% 82.37/51.96 tff(1029,plain,
% 82.37/51.96 (v1(constB6) <=> v1(constB6)),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1030,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 82.37/51.96 tff(1031,plain,
% 82.37/51.96 (v1(constB6)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 82.37/51.96 tff(1032,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1033,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1034,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 82.37/51.96 tff(1035,plain,
% 82.37/51.96 (v101(constB6) | (~v102(constB6))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1034, 338, 1011, 1031])).
% 82.37/51.96 tff(1036,plain,
% 82.37/51.96 (v101(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1035, 1028])).
% 82.37/51.96 tff(1037,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1038,plain,
% 82.37/51.96 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1039,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[1038])).
% 82.37/51.96 tff(1040,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 82.37/51.96 inference(transitivity,[status(thm)],[1039, 1037])).
% 82.37/51.96 tff(1041,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1042,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 82.37/51.96 tff(1043,plain,
% 82.37/51.96 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1042, 353, 1011])).
% 82.37/51.96 tff(1044,plain,
% 82.37/51.96 (v100(constB6) | (~v110(constB6))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1043, 1036])).
% 82.37/51.96 tff(1045,plain,
% 82.37/51.96 (v100(constB6)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1044, 1019])).
% 82.37/51.96 tff(1046,plain,
% 82.37/51.96 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, 2))))),
% 82.37/51.96 inference(bind,[status(th)],[])).
% 82.37/51.96 tff(1047,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.96 inference(quant_intro,[status(thm)],[1046])).
% 82.37/51.96 tff(1048,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1049,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_3')).
% 82.37/51.96 tff(1050,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 82.37/51.96 tff(1051,plain,(
% 82.37/51.96 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.96 inference(skolemize,[status(sab)],[1050])).
% 82.37/51.96 tff(1052,plain,
% 82.37/51.96 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1051, 1047])).
% 82.37/51.96 tff(1053,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1054,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1055,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 82.37/51.96 tff(1056,plain,
% 82.37/51.96 (~v130(constB5, 2)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1055, 1052, 960])).
% 82.37/51.96 tff(1057,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1058,plain,
% 82.37/51.96 ((v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2))) <=> ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1059,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)))),
% 82.37/51.96 inference(monotonicity,[status(thm)],[1058])).
% 82.37/51.96 tff(1060,plain,
% 82.37/51.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 82.37/51.96 inference(transitivity,[status(thm)],[1059, 1057])).
% 82.37/51.96 tff(1061,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1062,plain,
% 82.37/51.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 82.37/51.96 tff(1063,plain,
% 82.37/51.96 ((~v127(constB5, 2)) | v26(constB5)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1062, 556, 1056])).
% 82.37/51.96 tff(1064,plain,
% 82.37/51.96 (~v127(constB5, 2)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1063, 46])).
% 82.37/51.96 tff(1065,plain,
% 82.37/51.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1066,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1067,plain,
% 82.37/51.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 82.37/51.96 tff(1068,plain,
% 82.37/51.96 (v127(constB5, 2) | (~v129(constB6, 2))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1067, 574, 1011])).
% 82.37/51.96 tff(1069,plain,
% 82.37/51.96 (~v129(constB6, 2)),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1068, 1064])).
% 82.37/51.96 tff(1070,plain,
% 82.37/51.96 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 82.37/51.96 inference(rewrite,[status(thm)],[])).
% 82.37/51.96 tff(1071,plain,
% 82.37/51.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 82.37/51.96 inference(quant_inst,[status(thm)],[])).
% 82.37/51.96 tff(1072,plain,
% 82.37/51.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6))),
% 82.37/51.96 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 82.37/51.96 tff(1073,plain,
% 82.37/51.96 ((~v90(constB6, 2)) | (~v100(constB6))),
% 82.37/51.96 inference(unit_resolution,[status(thm)],[1072, 589, 1069])).
% 82.37/51.96 tff(1074,plain,
% 82.37/51.96 (~v90(constB6, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1073, 1045])).
% 82.37/51.97 tff(1075,plain,
% 82.37/51.97 ((~v1(constB7)) <=> (~v1(constB7))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1076,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 82.37/51.97 tff(1077,plain,
% 82.37/51.97 (~v1(constB7)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 82.37/51.97 tff(1078,plain,
% 82.37/51.97 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1079,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 82.37/51.97 tff(1080,plain,
% 82.37/51.97 (nextState(constB6, constB7)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 82.37/51.97 tff(1081,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1082,plain,
% 82.37/51.97 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1083,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1082])).
% 82.37/51.97 tff(1084,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1083, 1081])).
% 82.37/51.97 tff(1085,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1086,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 82.37/51.97 tff(1087,plain,
% 82.37/51.97 (~v101(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1086, 66, 1080, 1077])).
% 82.37/51.97 tff(1088,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1089,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1090,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 82.37/51.97 tff(1091,plain,
% 82.37/51.97 (v101(constB7) | (~v100(constB7))),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1090, 83, 1080])).
% 82.37/51.97 tff(1092,plain,
% 82.37/51.97 (~v100(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1091, 1087])).
% 82.37/51.97 tff(1093,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1094,plain,
% 82.37/51.97 (((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))) <=> (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1095,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1094])).
% 82.37/51.97 tff(1096,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1095, 1093])).
% 82.37/51.97 tff(1097,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1098,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 82.37/51.97 tff(1099,plain,
% 82.37/51.97 (v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1098, 98, 1080])).
% 82.37/51.97 tff(1100,plain,
% 82.37/51.97 (v90(constB6, 2) | (~v90(constB7, 2))),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1099, 1092])).
% 82.37/51.97 tff(1101,plain,
% 82.37/51.97 (~v90(constB7, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1100, 1074])).
% 82.37/51.97 tff(1102,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ((~v121(VarCurr)) | v130(VarCurr, 1)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1103,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1102])).
% 82.37/51.97 tff(1104,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1105,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_2')).
% 82.37/51.97 tff(1106,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1105, 1104])).
% 82.37/51.97 tff(1107,plain,(
% 82.37/51.97 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1106])).
% 82.37/51.97 tff(1108,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1107, 1103])).
% 82.37/51.97 tff(1109,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1110,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1111,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 82.37/51.97 tff(1112,plain,
% 82.37/51.97 (v130(constB5, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1111, 1108, 960])).
% 82.37/51.97 tff(1113,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1114,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1115,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 82.37/51.97 tff(1116,plain,
% 82.37/51.97 (v26(constB5) | v127(constB5, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1115, 818, 1112])).
% 82.37/51.97 tff(1117,plain,
% 82.37/51.97 (v127(constB5, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1116, 46])).
% 82.37/51.97 tff(1118,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1119,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1120,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 82.37/51.97 tff(1121,plain,
% 82.37/51.97 ((~v127(constB5, 1)) | v129(constB6, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1120, 833, 1011])).
% 82.37/51.97 tff(1122,plain,
% 82.37/51.97 (v129(constB6, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1121, 1117])).
% 82.37/51.97 tff(1123,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1124,plain,
% 82.37/51.97 ((v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1))) <=> (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1125,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1124])).
% 82.37/51.97 tff(1126,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1125, 1123])).
% 82.37/51.97 tff(1127,plain,
% 82.37/51.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1128,plain,
% 82.37/51.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 82.37/51.97 tff(1129,plain,
% 82.37/51.97 (v90(constB6, 1) | (~v100(constB6))),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1128, 848, 1122])).
% 82.37/51.97 tff(1130,plain,
% 82.37/51.97 (v90(constB6, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1129, 1045])).
% 82.37/51.97 tff(1131,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1132,plain,
% 82.37/51.97 (((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)) <=> ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1133,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1132])).
% 82.37/51.97 tff(1134,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1133, 1131])).
% 82.37/51.97 tff(1135,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1136,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 82.37/51.97 tff(1137,plain,
% 82.37/51.97 ((~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1136, 866, 1080])).
% 82.37/51.97 tff(1138,plain,
% 82.37/51.97 ((~v90(constB6, 1)) | v90(constB7, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1137, 1092])).
% 82.37/51.97 tff(1139,plain,
% 82.37/51.97 (v90(constB7, 1)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1138, 1130])).
% 82.37/51.97 tff(1140,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ((~v121(VarCurr)) | v130(VarCurr, 0)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1141,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1140])).
% 82.37/51.97 tff(1142,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1143,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_1')).
% 82.37/51.97 tff(1144,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 82.37/51.97 tff(1145,plain,(
% 82.37/51.97 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1144])).
% 82.37/51.97 tff(1146,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1145, 1141])).
% 82.37/51.97 tff(1147,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1148,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1149,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 82.37/51.97 tff(1150,plain,
% 82.37/51.97 (v130(constB5, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1149, 1146, 960])).
% 82.37/51.97 tff(1151,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1152,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1153,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 82.37/51.97 tff(1154,plain,
% 82.37/51.97 (v26(constB5) | v127(constB5, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1153, 478, 1150])).
% 82.37/51.97 tff(1155,plain,
% 82.37/51.97 (v127(constB5, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1154, 46])).
% 82.37/51.97 tff(1156,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1157,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1158,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 82.37/51.97 tff(1159,plain,
% 82.37/51.97 ((~v127(constB5, 0)) | v129(constB6, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1158, 493, 1011])).
% 82.37/51.97 tff(1160,plain,
% 82.37/51.97 (v129(constB6, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1159, 1155])).
% 82.37/51.97 tff(1161,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1162,plain,
% 82.37/51.97 ((v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0))) <=> (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1163,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1162])).
% 82.37/51.97 tff(1164,plain,
% 82.37/51.97 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1163, 1161])).
% 82.37/51.97 tff(1165,plain,
% 82.37/51.97 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1166,plain,
% 82.37/51.97 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 82.37/51.97 tff(1167,plain,
% 82.37/51.97 (v90(constB6, 0) | (~v100(constB6))),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1166, 508, 1160])).
% 82.37/51.97 tff(1168,plain,
% 82.37/51.97 (v90(constB6, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1167, 1045])).
% 82.37/51.97 tff(1169,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1170,plain,
% 82.37/51.97 (((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)) <=> ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1171,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1170])).
% 82.37/51.97 tff(1172,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1171, 1169])).
% 82.37/51.97 tff(1173,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1174,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 82.37/51.97 tff(1175,plain,
% 82.37/51.97 ((~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1174, 526, 1080])).
% 82.37/51.97 tff(1176,plain,
% 82.37/51.97 ((~v90(constB6, 0)) | v90(constB7, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1175, 1092])).
% 82.37/51.97 tff(1177,plain,
% 82.37/51.97 (v90(constB7, 0)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1176, 1168])).
% 82.37/51.97 tff(1178,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1179,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1178])).
% 82.37/51.97 tff(1180,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1181,plain,
% 82.37/51.97 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 2) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> (((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1182,plain,
% 82.37/51.97 (![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1181])).
% 82.37/51.97 tff(1183,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 82.37/51.97 tff(1184,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 82.37/51.97 tff(1185,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1184, 1180])).
% 82.37/51.97 tff(1186,plain,(
% 82.37/51.97 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1185])).
% 82.37/51.97 tff(1187,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1186, 1179])).
% 82.37/51.97 tff(1188,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1189,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1190,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 82.37/51.97 tff(1191,plain,
% 82.37/51.97 (v122(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1190, 1187, 1177, 1139, 1101])).
% 82.37/51.97 tff(1192,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ((~v122(VarCurr)) | v130(VarCurr, 2)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1193,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1192])).
% 82.37/51.97 tff(1194,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1195,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 82.37/51.97 tff(1196,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 82.37/51.97 tff(1197,plain,(
% 82.37/51.97 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1196])).
% 82.37/51.97 tff(1198,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1197, 1193])).
% 82.37/51.97 tff(1199,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1200,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1201,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 82.37/51.97 tff(1202,plain,
% 82.37/51.97 (v130(constB7, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1201, 1198, 1191])).
% 82.37/51.97 tff(1203,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1204,plain,
% 82.37/51.97 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1203])).
% 82.37/51.97 tff(1205,plain,
% 82.37/51.97 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1206,plain,
% 82.37/51.97 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1207,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1206])).
% 82.37/51.97 tff(1208,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 82.37/51.97 tff(1209,plain,
% 82.37/51.97 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 82.37/51.97 tff(1210,plain,
% 82.37/51.97 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1209, 1205])).
% 82.37/51.97 tff(1211,plain,(
% 82.37/51.97 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1210])).
% 82.37/51.97 tff(1212,plain,
% 82.37/51.97 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1211, 1204])).
% 82.37/51.97 tff(1213,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1214,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1215,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 82.37/51.97 tff(1216,plain,
% 82.37/51.97 (v26(constB7) | v127(constB7, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1215, 1212, 1202])).
% 82.37/51.97 tff(1217,plain,
% 82.37/51.97 (v127(constB7, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1216, 42])).
% 82.37/51.97 tff(1218,plain,
% 82.37/51.97 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1219,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 82.37/51.97 tff(1220,plain,
% 82.37/51.97 (nextState(constB7, constB8)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 82.37/51.97 tff(1221,plain,
% 82.37/51.97 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1222,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1221])).
% 82.37/51.97 tff(1223,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1224,plain,
% 82.37/51.97 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1225,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1224])).
% 82.37/51.97 tff(1226,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 82.37/51.97 tff(1227,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1226, 1225])).
% 82.37/51.97 tff(1228,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1227, 1223])).
% 82.37/51.97 tff(1229,plain,(
% 82.37/51.97 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1228])).
% 82.37/51.97 tff(1230,plain,
% 82.37/51.97 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1229, 1222])).
% 82.37/51.97 tff(1231,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1232,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1233,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2)),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 82.37/51.97 tff(1234,plain,
% 82.37/51.97 ((~v127(constB7, 2)) | v129(constB8, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1233, 1230, 1220])).
% 82.37/51.97 tff(1235,plain,
% 82.37/51.97 (v129(constB8, 2)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1234, 1217])).
% 82.37/51.97 tff(1236,assumption,(~v108(constB7)), introduced(assumption)).
% 82.37/51.97 tff(1237,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1238,plain,
% 82.37/51.97 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1239,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1238])).
% 82.37/51.97 tff(1240,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1239, 1237])).
% 82.37/51.97 tff(1241,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1242,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1241, 1240])).
% 82.37/51.97 tff(1243,plain,
% 82.37/51.97 (~v112(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1242, 268, 1236])).
% 82.37/51.97 tff(1244,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v26(constB7)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1245,plain,
% 82.37/51.97 (((~v26(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v26(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1246,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v26(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1245])).
% 82.37/51.97 tff(1247,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1246, 1244])).
% 82.37/51.97 tff(1248,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1249,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 82.37/51.97 tff(1250,plain,
% 82.37/51.97 (~v26(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1249, 685, 1236])).
% 82.37/51.97 tff(1251,plain,
% 82.37/51.97 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 82.37/51.97 inference(bind,[status(th)],[])).
% 82.37/51.97 tff(1252,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 82.37/51.97 inference(quant_intro,[status(thm)],[1251])).
% 82.37/51.97 tff(1253,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1254,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 82.37/51.97 tff(1255,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 82.37/51.97 tff(1256,plain,(
% 82.37/51.97 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 82.37/51.97 inference(skolemize,[status(sab)],[1255])).
% 82.37/51.97 tff(1257,plain,
% 82.37/51.97 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1256, 1252])).
% 82.37/51.97 tff(1258,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1259,plain,
% 82.37/51.97 (((~v122(constB7)) | v116(constB7)) <=> (v116(constB7) | (~v122(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1260,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v122(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1259])).
% 82.37/51.97 tff(1261,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1260, 1258])).
% 82.37/51.97 tff(1262,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1263,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 82.37/51.97 tff(1264,plain,
% 82.37/51.97 (v116(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1263, 1257, 1191])).
% 82.37/51.97 tff(1265,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1266,plain,
% 82.37/51.97 (((~v116(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v116(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1267,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1266])).
% 82.37/51.97 tff(1268,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1267, 1265])).
% 82.37/51.97 tff(1269,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1270,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 82.37/51.97 tff(1271,plain,
% 82.37/51.97 (v115(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1270, 214, 1264])).
% 82.37/51.97 tff(1272,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1273,plain,
% 82.37/51.97 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1274,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1273])).
% 82.37/51.97 tff(1275,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1274, 1272])).
% 82.37/51.97 tff(1276,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1277,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 82.37/51.97 tff(1278,plain,
% 82.37/51.97 (v114(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1277, 228, 1271])).
% 82.37/51.97 tff(1279,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1280,plain,
% 82.37/51.97 (((~v114(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v114(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1281,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1280])).
% 82.37/51.97 tff(1282,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1281, 1279])).
% 82.37/51.97 tff(1283,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1284,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 82.37/51.97 tff(1285,plain,
% 82.37/51.97 (v113(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1284, 242, 1278])).
% 82.37/51.97 tff(1286,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1287,plain,
% 82.37/51.97 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1288,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1287])).
% 82.37/51.97 tff(1289,plain,
% 82.37/51.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1288, 1286])).
% 82.37/51.97 tff(1290,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 82.37/51.97 inference(quant_inst,[status(thm)],[])).
% 82.37/51.97 tff(1291,plain,
% 82.37/51.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 82.37/51.97 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 82.37/51.97 tff(1292,plain,
% 82.37/51.97 (v26(constB7) | v112(constB7)),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1291, 256, 1285])).
% 82.37/51.97 tff(1293,plain,
% 82.37/51.97 ($false),
% 82.37/51.97 inference(unit_resolution,[status(thm)],[1292, 1250, 1243])).
% 82.37/51.97 tff(1294,plain,(v108(constB7)), inference(lemma,lemma(discharge,[]))).
% 82.37/51.97 tff(1295,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1296,plain,
% 82.37/51.97 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 82.37/51.97 inference(rewrite,[status(thm)],[])).
% 82.37/51.97 tff(1297,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 82.37/51.97 inference(monotonicity,[status(thm)],[1296])).
% 82.37/51.97 tff(1298,plain,
% 82.37/51.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 82.37/51.97 inference(transitivity,[status(thm)],[1297, 1295])).
% 82.37/51.97 tff(1299,plain,
% 82.37/51.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1300,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 82.37/51.98 tff(1301,plain,
% 82.37/51.98 (v110(constB8) | (~v108(constB7))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1300, 288, 1220])).
% 82.37/51.98 tff(1302,plain,
% 82.37/51.98 (v110(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1301, 1294])).
% 82.37/51.98 tff(1303,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1304,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1305,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 82.37/51.98 tff(1306,plain,
% 82.37/51.98 (~v104(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1305, 306, 1220, 1077])).
% 82.37/51.98 tff(1307,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1308,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1309,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 82.37/51.98 tff(1310,plain,
% 82.37/51.98 (v102(constB8) | v104(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1309, 320, 1220])).
% 82.37/51.98 tff(1311,plain,
% 82.37/51.98 (v102(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1310, 1306])).
% 82.37/51.98 tff(1312,plain,
% 82.37/51.98 (v1(constB8) <=> v1(constB8)),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1313,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 82.37/51.98 tff(1314,plain,
% 82.37/51.98 (v1(constB8)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 82.37/51.98 tff(1315,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1316,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1317,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 82.37/51.98 tff(1318,plain,
% 82.37/51.98 (v101(constB8) | (~v102(constB8))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1317, 338, 1220, 1314])).
% 82.37/51.98 tff(1319,plain,
% 82.37/51.98 (v101(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1318, 1311])).
% 82.37/51.98 tff(1320,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1321,plain,
% 82.37/51.98 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1322,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1321])).
% 82.37/51.98 tff(1323,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1322, 1320])).
% 82.37/51.98 tff(1324,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1325,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 82.37/51.98 tff(1326,plain,
% 82.37/51.98 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1325, 353, 1220])).
% 82.37/51.98 tff(1327,plain,
% 82.37/51.98 (v100(constB8) | (~v110(constB8))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1326, 1319])).
% 82.37/51.98 tff(1328,plain,
% 82.37/51.98 (v100(constB8)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1327, 1302])).
% 82.37/51.98 tff(1329,plain,
% 82.37/51.98 (^[VarNext: state_type] : refl((v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1330,plain,
% 82.37/51.98 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1329])).
% 82.37/51.98 tff(1331,plain,
% 82.37/51.98 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1332,plain,
% 82.37/51.98 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1333,plain,
% 82.37/51.98 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1332])).
% 82.37/51.98 tff(1334,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 82.37/51.98 tff(1335,plain,
% 82.37/51.98 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 82.37/51.98 tff(1336,plain,
% 82.37/51.98 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1335, 1331])).
% 82.37/51.98 tff(1337,plain,(
% 82.37/51.98 ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1336])).
% 82.37/51.98 tff(1338,plain,
% 82.37/51.98 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1337, 1330])).
% 82.37/51.98 tff(1339,plain,
% 82.37/51.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1340,plain,
% 82.37/51.98 ((v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2))) <=> (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1341,plain,
% 82.37/51.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1340])).
% 82.37/51.98 tff(1342,plain,
% 82.37/51.98 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1341, 1339])).
% 82.37/51.98 tff(1343,plain,
% 82.37/51.98 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1344,plain,
% 82.37/51.98 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 82.37/51.98 tff(1345,plain,
% 82.37/51.98 (v90(constB8, 2) | (~v129(constB8, 2))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1344, 1338, 1328])).
% 82.37/51.98 tff(1346,plain,
% 82.37/51.98 (v90(constB8, 2)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1345, 1235])).
% 82.37/51.98 tff(1347,plain,
% 82.37/51.98 ((~v1(constB9)) <=> (~v1(constB9))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1348,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 82.37/51.98 tff(1349,plain,
% 82.37/51.98 (~v1(constB9)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 82.37/51.98 tff(1350,plain,
% 82.37/51.98 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1351,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 82.37/51.98 tff(1352,plain,
% 82.37/51.98 (nextState(constB8, constB9)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 82.37/51.98 tff(1353,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1354,plain,
% 82.37/51.98 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1355,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1354])).
% 82.37/51.98 tff(1356,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1355, 1353])).
% 82.37/51.98 tff(1357,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1358,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 82.37/51.98 tff(1359,plain,
% 82.37/51.98 (~v101(constB9)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1358, 66, 1352, 1349])).
% 82.37/51.98 tff(1360,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1361,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1362,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 82.37/51.98 tff(1363,plain,
% 82.37/51.98 (v101(constB9) | (~v100(constB9))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1362, 83, 1352])).
% 82.37/51.98 tff(1364,plain,
% 82.37/51.98 (~v100(constB9)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1363, 1359])).
% 82.37/51.98 tff(1365,plain,
% 82.37/51.98 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1366,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1365])).
% 82.37/51.98 tff(1367,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1368,plain,
% 82.37/51.98 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1369,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1368])).
% 82.37/51.98 tff(1370,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 82.37/51.98 tff(1371,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1370, 1369])).
% 82.37/51.98 tff(1372,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1371, 1367])).
% 82.37/51.98 tff(1373,plain,(
% 82.37/51.98 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1372])).
% 82.37/51.98 tff(1374,plain,
% 82.37/51.98 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1373, 1366])).
% 82.37/51.98 tff(1375,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1376,plain,
% 82.37/51.98 (((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)) <=> ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1377,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1376])).
% 82.37/51.98 tff(1378,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1377, 1375])).
% 82.37/51.98 tff(1379,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1380,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1379, 1378])).
% 82.37/51.98 tff(1381,plain,
% 82.37/51.98 ((~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1380, 1374, 1352])).
% 82.37/51.98 tff(1382,plain,
% 82.37/51.98 ((~v90(constB8, 2)) | v90(constB9, 2)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1381, 1364])).
% 82.37/51.98 tff(1383,plain,
% 82.37/51.98 (v90(constB9, 2)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1382, 1346])).
% 82.37/51.98 tff(1384,plain,
% 82.37/51.98 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 1))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1385,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1384])).
% 82.37/51.98 tff(1386,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1387,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 82.37/51.98 tff(1388,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 82.37/51.98 tff(1389,plain,(
% 82.37/51.98 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1388])).
% 82.37/51.98 tff(1390,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1389, 1385])).
% 82.37/51.98 tff(1391,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1392,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1393,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 82.37/51.98 tff(1394,plain,
% 82.37/51.98 (~v130(constB7, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1393, 1390, 1191])).
% 82.37/51.98 tff(1395,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1396,plain,
% 82.37/51.98 ((v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1))) <=> ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1397,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1396])).
% 82.37/51.98 tff(1398,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1397, 1395])).
% 82.37/51.98 tff(1399,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1400,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 82.37/51.98 tff(1401,plain,
% 82.37/51.98 ((~v127(constB7, 1)) | v26(constB7)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1400, 383, 1394])).
% 82.37/51.98 tff(1402,plain,
% 82.37/51.98 (~v127(constB7, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1401, 42])).
% 82.37/51.98 tff(1403,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1404,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1405,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 82.37/51.98 tff(1406,plain,
% 82.37/51.98 (v127(constB7, 1) | (~v129(constB8, 1))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1405, 401, 1220])).
% 82.37/51.98 tff(1407,plain,
% 82.37/51.98 (~v129(constB8, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1406, 1402])).
% 82.37/51.98 tff(1408,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1409,plain,
% 82.37/51.98 (((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1)) <=> ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1410,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1409])).
% 82.37/51.98 tff(1411,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1410, 1408])).
% 82.37/51.98 tff(1412,plain,
% 82.37/51.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1413,plain,
% 82.37/51.98 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 82.37/51.98 tff(1414,plain,
% 82.37/51.98 ((~v90(constB8, 1)) | v129(constB8, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1413, 416, 1328])).
% 82.37/51.98 tff(1415,plain,
% 82.37/51.98 (~v90(constB8, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1414, 1407])).
% 82.37/51.98 tff(1416,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1417,plain,
% 82.37/51.98 (((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))) <=> (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1418,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1417])).
% 82.37/51.98 tff(1419,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1418, 1416])).
% 82.37/51.98 tff(1420,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1421,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 82.37/51.98 tff(1422,plain,
% 82.37/51.98 (v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1421, 119, 1352])).
% 82.37/51.98 tff(1423,plain,
% 82.37/51.98 (v90(constB8, 1) | (~v90(constB9, 1))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1422, 1364])).
% 82.37/51.98 tff(1424,plain,
% 82.37/51.98 (~v90(constB9, 1)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1423, 1415])).
% 82.37/51.98 tff(1425,plain,
% 82.37/51.98 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 0))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1426,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1425])).
% 82.37/51.98 tff(1427,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1428,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 82.37/51.98 tff(1429,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 82.37/51.98 tff(1430,plain,(
% 82.37/51.98 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1429])).
% 82.37/51.98 tff(1431,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1430, 1426])).
% 82.37/51.98 tff(1432,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1433,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1434,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 82.37/51.98 tff(1435,plain,
% 82.37/51.98 (~v130(constB7, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1434, 1431, 1191])).
% 82.37/51.98 tff(1436,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1437,plain,
% 82.37/51.98 ((v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0))) <=> ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1438,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1437])).
% 82.37/51.98 tff(1439,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1438, 1436])).
% 82.37/51.98 tff(1440,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1441,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 82.37/51.98 tff(1442,plain,
% 82.37/51.98 ((~v127(constB7, 0)) | v26(constB7)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1441, 896, 1435])).
% 82.37/51.98 tff(1443,plain,
% 82.37/51.98 (~v127(constB7, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1442, 42])).
% 82.37/51.98 tff(1444,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1445,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1446,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 82.37/51.98 tff(1447,plain,
% 82.37/51.98 (v127(constB7, 0) | (~v129(constB8, 0))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1446, 914, 1220])).
% 82.37/51.98 tff(1448,plain,
% 82.37/51.98 (~v129(constB8, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1447, 1443])).
% 82.37/51.98 tff(1449,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1450,plain,
% 82.37/51.98 (((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0)) <=> ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1451,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1450])).
% 82.37/51.98 tff(1452,plain,
% 82.37/51.98 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1451, 1449])).
% 82.37/51.98 tff(1453,plain,
% 82.37/51.98 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1454,plain,
% 82.37/51.98 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 82.37/51.98 tff(1455,plain,
% 82.37/51.98 ((~v90(constB8, 0)) | v129(constB8, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1454, 929, 1328])).
% 82.37/51.98 tff(1456,plain,
% 82.37/51.98 (~v90(constB8, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1455, 1448])).
% 82.37/51.98 tff(1457,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1458,plain,
% 82.37/51.98 (((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))) <=> (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1459,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1458])).
% 82.37/51.98 tff(1460,plain,
% 82.37/51.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1459, 1457])).
% 82.37/51.98 tff(1461,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1462,plain,
% 82.37/51.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 82.37/51.98 tff(1463,plain,
% 82.37/51.98 (v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1462, 140, 1352])).
% 82.37/51.98 tff(1464,plain,
% 82.37/51.98 (v90(constB8, 0) | (~v90(constB9, 0))),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1463, 1364])).
% 82.37/51.98 tff(1465,plain,
% 82.37/51.98 (~v90(constB9, 0)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1464, 1456])).
% 82.37/51.98 tff(1466,plain,
% 82.37/51.98 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1467,plain,
% 82.37/51.98 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1466])).
% 82.37/51.98 tff(1468,plain,
% 82.37/51.98 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1469,plain,
% 82.37/51.98 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1470,plain,
% 82.37/51.98 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1469])).
% 82.37/51.98 tff(1471,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 82.37/51.98 tff(1472,plain,
% 82.37/51.98 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 82.37/51.98 tff(1473,plain,
% 82.37/51.98 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1472, 1468])).
% 82.37/51.98 tff(1474,plain,(
% 82.37/51.98 ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1473])).
% 82.37/51.98 tff(1475,plain,
% 82.37/51.98 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1474, 1467])).
% 82.37/51.98 tff(1476,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1477,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1478,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9)),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 82.37/51.98 tff(1479,plain,
% 82.37/51.98 (v123(constB9)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1478, 1475, 1465, 1424, 1383])).
% 82.37/51.98 tff(1480,plain,
% 82.37/51.98 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 82.37/51.98 inference(bind,[status(th)],[])).
% 82.37/51.98 tff(1481,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 82.37/51.98 inference(quant_intro,[status(thm)],[1480])).
% 82.37/51.98 tff(1482,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1483,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 82.37/51.98 tff(1484,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 82.37/51.98 tff(1485,plain,(
% 82.37/51.98 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 82.37/51.98 inference(skolemize,[status(sab)],[1484])).
% 82.37/51.98 tff(1486,plain,
% 82.37/51.98 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1485, 1481])).
% 82.37/51.98 tff(1487,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1488,plain,
% 82.37/51.98 (((~v123(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v123(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1489,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1488])).
% 82.37/51.98 tff(1490,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1489, 1487])).
% 82.37/51.98 tff(1491,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.98 tff(1492,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9))),
% 82.37/51.98 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 82.37/51.98 tff(1493,plain,
% 82.37/51.98 (v115(constB9)),
% 82.37/51.98 inference(unit_resolution,[status(thm)],[1492, 1486, 1479])).
% 82.37/51.98 tff(1494,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1495,plain,
% 82.37/51.98 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 82.37/51.98 inference(rewrite,[status(thm)],[])).
% 82.37/51.98 tff(1496,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 82.37/51.98 inference(monotonicity,[status(thm)],[1495])).
% 82.37/51.98 tff(1497,plain,
% 82.37/51.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 82.37/51.98 inference(transitivity,[status(thm)],[1496, 1494])).
% 82.37/51.98 tff(1498,plain,
% 82.37/51.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 82.37/51.98 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1499,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 82.37/51.99 tff(1500,plain,
% 82.37/51.99 (v114(constB9)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1499, 228, 1493])).
% 82.37/51.99 tff(1501,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1502,plain,
% 82.37/51.99 (((~v114(constB9)) | v113(constB9)) <=> (v113(constB9) | (~v114(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1503,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1502])).
% 82.37/51.99 tff(1504,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1503, 1501])).
% 82.37/51.99 tff(1505,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1506,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 82.37/51.99 tff(1507,plain,
% 82.37/51.99 (v113(constB9)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1506, 242, 1500])).
% 82.37/51.99 tff(1508,assumption,(v26(constB9)), introduced(assumption)).
% 82.37/51.99 tff(1509,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1510,plain,
% 82.37/51.99 ($false),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1509, 19, 1508])).
% 82.37/51.99 tff(1511,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 82.37/51.99 tff(1512,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1513,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1514,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | (~v113(constB9)) | v112(constB9)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 82.37/51.99 tff(1515,plain,
% 82.37/51.99 ((~v113(constB9)) | v112(constB9)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1514, 256, 1511])).
% 82.37/51.99 tff(1516,plain,
% 82.37/51.99 (v112(constB9)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1515, 1507])).
% 82.37/51.99 tff(1517,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1518,plain,
% 82.37/51.99 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1519,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1518])).
% 82.37/51.99 tff(1520,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1519, 1517])).
% 82.37/51.99 tff(1521,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1522,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 82.37/51.99 tff(1523,plain,
% 82.37/51.99 (v108(constB9)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1522, 268, 1516])).
% 82.37/51.99 tff(1524,plain,
% 82.37/51.99 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1525,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 82.37/51.99 tff(1526,plain,
% 82.37/51.99 (nextState(constB9, constB10)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 82.37/51.99 tff(1527,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1528,plain,
% 82.37/51.99 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1529,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1528])).
% 82.37/51.99 tff(1530,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1529, 1527])).
% 82.37/51.99 tff(1531,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1532,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 82.37/51.99 tff(1533,plain,
% 82.37/51.99 (v110(constB10) | (~v108(constB9))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1532, 288, 1526])).
% 82.37/51.99 tff(1534,plain,
% 82.37/51.99 (v110(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1533, 1523])).
% 82.37/51.99 tff(1535,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1536,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1537,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 82.37/51.99 tff(1538,plain,
% 82.37/51.99 (~v104(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1537, 306, 1526, 1349])).
% 82.37/51.99 tff(1539,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1540,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1541,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 82.37/51.99 tff(1542,plain,
% 82.37/51.99 (v102(constB10) | v104(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1541, 320, 1526])).
% 82.37/51.99 tff(1543,plain,
% 82.37/51.99 (v102(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1542, 1538])).
% 82.37/51.99 tff(1544,plain,
% 82.37/51.99 (v1(constB10) <=> v1(constB10)),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1545,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 82.37/51.99 tff(1546,plain,
% 82.37/51.99 (v1(constB10)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 82.37/51.99 tff(1547,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1548,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1549,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 82.37/51.99 tff(1550,plain,
% 82.37/51.99 (v101(constB10) | (~v102(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1549, 338, 1526, 1546])).
% 82.37/51.99 tff(1551,plain,
% 82.37/51.99 (v101(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1550, 1543])).
% 82.37/51.99 tff(1552,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1553,plain,
% 82.37/51.99 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1554,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1553])).
% 82.37/51.99 tff(1555,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1554, 1552])).
% 82.37/51.99 tff(1556,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1557,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 82.37/51.99 tff(1558,plain,
% 82.37/51.99 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1557, 353, 1526])).
% 82.37/51.99 tff(1559,plain,
% 82.37/51.99 (v100(constB10) | (~v110(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1558, 1551])).
% 82.37/51.99 tff(1560,plain,
% 82.37/51.99 (v100(constB10)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1559, 1534])).
% 82.37/51.99 tff(1561,plain,
% 82.37/51.99 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ((~v123(VarCurr)) | v130(VarCurr, 2)))),
% 82.37/51.99 inference(bind,[status(th)],[])).
% 82.37/51.99 tff(1562,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.99 inference(quant_intro,[status(thm)],[1561])).
% 82.37/51.99 tff(1563,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1564,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 82.37/51.99 tff(1565,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 82.37/51.99 tff(1566,plain,(
% 82.37/51.99 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.99 inference(skolemize,[status(sab)],[1565])).
% 82.37/51.99 tff(1567,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1566, 1562])).
% 82.37/51.99 tff(1568,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1569,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1570,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 82.37/51.99 tff(1571,plain,
% 82.37/51.99 (v130(constB9, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1570, 1567, 1479])).
% 82.37/51.99 tff(1572,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1573,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1574,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 82.37/51.99 tff(1575,plain,
% 82.37/51.99 ((~v130(constB9, 2)) | v127(constB9, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1574, 1212, 1511])).
% 82.37/51.99 tff(1576,plain,
% 82.37/51.99 (v127(constB9, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1575, 1571])).
% 82.37/51.99 tff(1577,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1578,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1579,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 82.37/51.99 tff(1580,plain,
% 82.37/51.99 ((~v127(constB9, 2)) | v129(constB10, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1579, 1230, 1526])).
% 82.37/51.99 tff(1581,plain,
% 82.37/51.99 (v129(constB10, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1580, 1576])).
% 82.37/51.99 tff(1582,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1583,plain,
% 82.37/51.99 ((v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2))) <=> (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1584,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1583])).
% 82.37/51.99 tff(1585,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1584, 1582])).
% 82.37/51.99 tff(1586,plain,
% 82.37/51.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1587,plain,
% 82.37/51.99 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1586, 1585])).
% 82.37/51.99 tff(1588,plain,
% 82.37/51.99 (v90(constB10, 2) | (~v100(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1587, 1338, 1581])).
% 82.37/51.99 tff(1589,plain,
% 82.37/51.99 (v90(constB10, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1588, 1560])).
% 82.37/51.99 tff(1590,plain,
% 82.37/51.99 ((~v1(constB11)) <=> (~v1(constB11))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1591,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 82.37/51.99 tff(1592,plain,
% 82.37/51.99 (~v1(constB11)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 82.37/51.99 tff(1593,plain,
% 82.37/51.99 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1594,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 82.37/51.99 tff(1595,plain,
% 82.37/51.99 (nextState(constB10, constB11)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 82.37/51.99 tff(1596,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1597,plain,
% 82.37/51.99 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1598,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1597])).
% 82.37/51.99 tff(1599,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1598, 1596])).
% 82.37/51.99 tff(1600,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1601,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 82.37/51.99 tff(1602,plain,
% 82.37/51.99 (~v101(constB11)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1601, 66, 1595, 1592])).
% 82.37/51.99 tff(1603,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1604,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1605,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 82.37/51.99 tff(1606,plain,
% 82.37/51.99 (v101(constB11) | (~v100(constB11))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1605, 83, 1595])).
% 82.37/51.99 tff(1607,plain,
% 82.37/51.99 (~v100(constB11)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1606, 1602])).
% 82.37/51.99 tff(1608,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1609,plain,
% 82.37/51.99 (((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)) <=> ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1610,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1609])).
% 82.37/51.99 tff(1611,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1610, 1608])).
% 82.37/51.99 tff(1612,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1613,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 82.37/51.99 tff(1614,plain,
% 82.37/51.99 ((~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1613, 1374, 1595])).
% 82.37/51.99 tff(1615,plain,
% 82.37/51.99 ((~v90(constB10, 2)) | v90(constB11, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1614, 1607])).
% 82.37/51.99 tff(1616,plain,
% 82.37/51.99 (v90(constB11, 2)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1615, 1589])).
% 82.37/51.99 tff(1617,plain,
% 82.37/51.99 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, 1))))),
% 82.37/51.99 inference(bind,[status(th)],[])).
% 82.37/51.99 tff(1618,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.99 inference(quant_intro,[status(thm)],[1617])).
% 82.37/51.99 tff(1619,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1620,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 82.37/51.99 tff(1621,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 82.37/51.99 tff(1622,plain,(
% 82.37/51.99 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.99 inference(skolemize,[status(sab)],[1621])).
% 82.37/51.99 tff(1623,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1622, 1618])).
% 82.37/51.99 tff(1624,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1625,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1626,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 82.37/51.99 tff(1627,plain,
% 82.37/51.99 (~v130(constB9, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1626, 1623, 1479])).
% 82.37/51.99 tff(1628,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1629,plain,
% 82.37/51.99 ((v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1))) <=> ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1630,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1629])).
% 82.37/51.99 tff(1631,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1630, 1628])).
% 82.37/51.99 tff(1632,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1633,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 82.37/51.99 tff(1634,plain,
% 82.37/51.99 ((~v127(constB9, 1)) | v130(constB9, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1633, 383, 1511])).
% 82.37/51.99 tff(1635,plain,
% 82.37/51.99 (~v127(constB9, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1634, 1627])).
% 82.37/51.99 tff(1636,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1637,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1638,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 82.37/51.99 tff(1639,plain,
% 82.37/51.99 (v127(constB9, 1) | (~v129(constB10, 1))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1638, 401, 1526])).
% 82.37/51.99 tff(1640,plain,
% 82.37/51.99 (~v129(constB10, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1639, 1635])).
% 82.37/51.99 tff(1641,plain,
% 82.37/51.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1642,plain,
% 82.37/51.99 (((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1)) <=> ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1643,plain,
% 82.37/51.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1642])).
% 82.37/51.99 tff(1644,plain,
% 82.37/51.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1643, 1641])).
% 82.37/51.99 tff(1645,plain,
% 82.37/51.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1646,plain,
% 82.37/51.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 82.37/51.99 tff(1647,plain,
% 82.37/51.99 ((~v90(constB10, 1)) | (~v100(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1646, 416, 1640])).
% 82.37/51.99 tff(1648,plain,
% 82.37/51.99 (~v90(constB10, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1647, 1560])).
% 82.37/51.99 tff(1649,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1650,plain,
% 82.37/51.99 (((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))) <=> (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1651,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1650])).
% 82.37/51.99 tff(1652,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1651, 1649])).
% 82.37/51.99 tff(1653,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1654,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 82.37/51.99 tff(1655,plain,
% 82.37/51.99 (v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1654, 119, 1595])).
% 82.37/51.99 tff(1656,plain,
% 82.37/51.99 (v90(constB10, 1) | (~v90(constB11, 1))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1655, 1607])).
% 82.37/51.99 tff(1657,plain,
% 82.37/51.99 (~v90(constB11, 1)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1656, 1648])).
% 82.37/51.99 tff(1658,plain,
% 82.37/51.99 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ((~v123(VarCurr)) | v130(VarCurr, 0)))),
% 82.37/51.99 inference(bind,[status(th)],[])).
% 82.37/51.99 tff(1659,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.99 inference(quant_intro,[status(thm)],[1658])).
% 82.37/51.99 tff(1660,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1661,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 82.37/51.99 tff(1662,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 82.37/51.99 tff(1663,plain,(
% 82.37/51.99 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.99 inference(skolemize,[status(sab)],[1662])).
% 82.37/51.99 tff(1664,plain,
% 82.37/51.99 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1663, 1659])).
% 82.37/51.99 tff(1665,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1666,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1667,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 82.37/51.99 tff(1668,plain,
% 82.37/51.99 (v130(constB9, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1667, 1664, 1479])).
% 82.37/51.99 tff(1669,plain,
% 82.37/51.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1670,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1671,plain,
% 82.37/51.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 82.37/51.99 tff(1672,plain,
% 82.37/51.99 ((~v130(constB9, 0)) | v127(constB9, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1671, 478, 1511])).
% 82.37/51.99 tff(1673,plain,
% 82.37/51.99 (v127(constB9, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1672, 1668])).
% 82.37/51.99 tff(1674,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1675,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1676,plain,
% 82.37/51.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0)),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 82.37/51.99 tff(1677,plain,
% 82.37/51.99 ((~v127(constB9, 0)) | v129(constB10, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1676, 493, 1526])).
% 82.37/51.99 tff(1678,plain,
% 82.37/51.99 (v129(constB10, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1677, 1673])).
% 82.37/51.99 tff(1679,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1680,plain,
% 82.37/51.99 ((v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0))) <=> (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1681,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1680])).
% 82.37/51.99 tff(1682,plain,
% 82.37/51.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 82.37/51.99 inference(transitivity,[status(thm)],[1681, 1679])).
% 82.37/51.99 tff(1683,plain,
% 82.37/51.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))),
% 82.37/51.99 inference(quant_inst,[status(thm)],[])).
% 82.37/51.99 tff(1684,plain,
% 82.37/51.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))),
% 82.37/51.99 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 82.37/51.99 tff(1685,plain,
% 82.37/51.99 (v90(constB10, 0) | (~v100(constB10))),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1684, 508, 1678])).
% 82.37/51.99 tff(1686,plain,
% 82.37/51.99 (v90(constB10, 0)),
% 82.37/51.99 inference(unit_resolution,[status(thm)],[1685, 1560])).
% 82.37/51.99 tff(1687,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1688,plain,
% 82.37/51.99 (((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)) <=> ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 82.37/51.99 inference(rewrite,[status(thm)],[])).
% 82.37/51.99 tff(1689,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)))),
% 82.37/51.99 inference(monotonicity,[status(thm)],[1688])).
% 82.37/51.99 tff(1690,plain,
% 82.37/51.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1689, 1687])).
% 82.43/52.00 tff(1691,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1692,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 82.43/52.00 tff(1693,plain,
% 82.43/52.00 ((~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1692, 526, 1595])).
% 82.43/52.00 tff(1694,plain,
% 82.43/52.00 ((~v90(constB10, 0)) | v90(constB11, 0)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1693, 1607])).
% 82.43/52.00 tff(1695,plain,
% 82.43/52.00 (v90(constB11, 0)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1694, 1686])).
% 82.43/52.00 tff(1696,plain,
% 82.43/52.00 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1697,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1696])).
% 82.43/52.00 tff(1698,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1699,plain,
% 82.43/52.00 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 1) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1700,plain,
% 82.43/52.00 (![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1699])).
% 82.43/52.00 tff(1701,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 82.43/52.00 tff(1702,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 82.43/52.00 tff(1703,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1702, 1698])).
% 82.43/52.00 tff(1704,plain,(
% 82.43/52.00 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(skolemize,[status(sab)],[1703])).
% 82.43/52.00 tff(1705,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1704, 1697])).
% 82.43/52.00 tff(1706,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1707,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1708,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 82.43/52.00 tff(1709,plain,
% 82.43/52.00 (v124(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1708, 1705, 1695, 1657, 1616])).
% 82.43/52.00 tff(1710,plain,
% 82.43/52.00 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ((~v124(VarCurr)) | v130(VarCurr, 2)))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1711,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1710])).
% 82.43/52.00 tff(1712,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1713,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 82.43/52.00 tff(1714,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 82.43/52.00 tff(1715,plain,(
% 82.43/52.00 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 82.43/52.00 inference(skolemize,[status(sab)],[1714])).
% 82.43/52.00 tff(1716,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1715, 1711])).
% 82.43/52.00 tff(1717,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1718,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1719,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 82.43/52.00 tff(1720,plain,
% 82.43/52.00 (v130(constB11, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1719, 1716, 1709])).
% 82.43/52.00 tff(1721,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1722,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1723,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 82.43/52.00 tff(1724,plain,
% 82.43/52.00 (v26(constB11) | v127(constB11, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1723, 1212, 1720])).
% 82.43/52.00 tff(1725,plain,
% 82.43/52.00 (v127(constB11, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1724, 38])).
% 82.43/52.00 tff(1726,plain,
% 82.43/52.00 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1727,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 82.43/52.00 tff(1728,plain,
% 82.43/52.00 (nextState(constB11, constB12)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 82.43/52.00 tff(1729,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1730,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1731,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 82.43/52.00 tff(1732,plain,
% 82.43/52.00 ((~v127(constB11, 2)) | v129(constB12, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1731, 1230, 1728])).
% 82.43/52.00 tff(1733,plain,
% 82.43/52.00 (v129(constB12, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1732, 1725])).
% 82.43/52.00 tff(1734,assumption,(~v26(constB11)), introduced(assumption)).
% 82.43/52.00 tff(1735,plain,
% 82.43/52.00 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1736,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1735])).
% 82.43/52.00 tff(1737,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1738,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 82.43/52.00 tff(1739,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 82.43/52.00 tff(1740,plain,(
% 82.43/52.00 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 82.43/52.00 inference(skolemize,[status(sab)],[1739])).
% 82.43/52.00 tff(1741,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1740, 1736])).
% 82.43/52.00 tff(1742,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1743,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1744,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 82.43/52.00 tff(1745,plain,
% 82.43/52.00 (v114(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1744, 1741, 1709])).
% 82.43/52.00 tff(1746,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1747,plain,
% 82.43/52.00 (((~v114(constB11)) | v113(constB11)) <=> (v113(constB11) | (~v114(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1748,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1747])).
% 82.43/52.00 tff(1749,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1748, 1746])).
% 82.43/52.00 tff(1750,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1751,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 82.43/52.00 tff(1752,plain,
% 82.43/52.00 (v113(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1751, 242, 1745])).
% 82.43/52.00 tff(1753,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1754,plain,
% 82.43/52.00 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1755,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1754])).
% 82.43/52.00 tff(1756,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1755, 1753])).
% 82.43/52.00 tff(1757,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1758,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 82.43/52.00 tff(1759,plain,
% 82.43/52.00 (v26(constB11) | v112(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1758, 256, 1752])).
% 82.43/52.00 tff(1760,plain,
% 82.43/52.00 (v112(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1759, 1734])).
% 82.43/52.00 tff(1761,plain,
% 82.43/52.00 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ((~v124(VarCurr)) | v130(VarCurr, 1)))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1762,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1761])).
% 82.43/52.00 tff(1763,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1764,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 82.43/52.00 tff(1765,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 82.43/52.00 tff(1766,plain,(
% 82.43/52.00 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 82.43/52.00 inference(skolemize,[status(sab)],[1765])).
% 82.43/52.00 tff(1767,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1766, 1762])).
% 82.43/52.00 tff(1768,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1769,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1770,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 82.43/52.00 tff(1771,plain,
% 82.43/52.00 (v130(constB11, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1770, 1767, 1709])).
% 82.43/52.00 tff(1772,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1773,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1774,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 82.43/52.00 tff(1775,plain,
% 82.43/52.00 (v26(constB11) | v127(constB11, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1774, 818, 1771])).
% 82.43/52.00 tff(1776,plain,
% 82.43/52.00 (v127(constB11, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1775, 1734])).
% 82.43/52.00 tff(1777,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1778,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1779,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 82.43/52.00 tff(1780,plain,
% 82.43/52.00 ((~v127(constB11, 1)) | v129(constB12, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1779, 833, 1728])).
% 82.43/52.00 tff(1781,plain,
% 82.43/52.00 (v129(constB12, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1780, 1776])).
% 82.43/52.00 tff(1782,assumption,(~v90(constB12, 1)), introduced(assumption)).
% 82.43/52.00 tff(1783,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1784,plain,
% 82.43/52.00 ((v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1))) <=> (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1785,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1784])).
% 82.43/52.00 tff(1786,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1785, 1783])).
% 82.43/52.00 tff(1787,plain,
% 82.43/52.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1788,plain,
% 82.43/52.00 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 82.43/52.00 tff(1789,plain,
% 82.43/52.00 ((~v129(constB12, 1)) | (~v100(constB12))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1788, 848, 1782])).
% 82.43/52.00 tff(1790,plain,
% 82.43/52.00 (~v100(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1789, 1781])).
% 82.43/52.00 tff(1791,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1792,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1793,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 82.43/52.00 tff(1794,plain,
% 82.43/52.00 (~v104(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1793, 306, 1728, 1592])).
% 82.43/52.00 tff(1795,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1796,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1797,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1796, 1795])).
% 82.43/52.00 tff(1798,plain,
% 82.43/52.00 (v102(constB12) | v104(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1797, 320, 1728])).
% 82.43/52.00 tff(1799,plain,
% 82.43/52.00 (v102(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1798, 1794])).
% 82.43/52.00 tff(1800,plain,
% 82.43/52.00 (v1(constB12) <=> v1(constB12)),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1801,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 82.43/52.00 tff(1802,plain,
% 82.43/52.00 (v1(constB12)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 82.43/52.00 tff(1803,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1804,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1805,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1804, 1803])).
% 82.43/52.00 tff(1806,plain,
% 82.43/52.00 (v101(constB12) | (~v102(constB12))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1805, 338, 1728, 1802])).
% 82.43/52.00 tff(1807,plain,
% 82.43/52.00 (v101(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1806, 1799])).
% 82.43/52.00 tff(1808,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1809,plain,
% 82.43/52.00 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1810,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1809])).
% 82.43/52.00 tff(1811,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1810, 1808])).
% 82.43/52.00 tff(1812,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1813,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 82.43/52.00 tff(1814,plain,
% 82.43/52.00 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1813, 353, 1728])).
% 82.43/52.00 tff(1815,plain,
% 82.43/52.00 (v100(constB12) | (~v110(constB12))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1814, 1807])).
% 82.43/52.00 tff(1816,plain,
% 82.43/52.00 (~v110(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1815, 1790])).
% 82.43/52.00 tff(1817,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1818,plain,
% 82.43/52.00 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1819,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1818])).
% 82.43/52.00 tff(1820,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1819, 1817])).
% 82.43/52.00 tff(1821,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1822,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 82.43/52.00 tff(1823,plain,
% 82.43/52.00 (v110(constB12) | (~v108(constB11))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1822, 288, 1728])).
% 82.43/52.00 tff(1824,plain,
% 82.43/52.00 (~v108(constB11)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1823, 1816])).
% 82.43/52.00 tff(1825,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1826,plain,
% 82.43/52.00 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1827,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1826])).
% 82.43/52.00 tff(1828,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1827, 1825])).
% 82.43/52.00 tff(1829,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1830,plain,
% 82.43/52.00 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 82.43/52.00 tff(1831,plain,
% 82.43/52.00 ($false),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1830, 268, 1824, 1760])).
% 82.43/52.00 tff(1832,plain,(v26(constB11) | v90(constB12, 1)), inference(lemma,lemma(discharge,[]))).
% 82.43/52.00 tff(1833,plain,
% 82.43/52.00 (v90(constB12, 1)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1832, 38])).
% 82.43/52.00 tff(1834,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1835,plain,
% 82.43/52.00 (((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1))) <=> (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1836,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1835])).
% 82.43/52.00 tff(1837,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1836, 1834])).
% 82.43/52.00 tff(1838,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1839,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 82.43/52.00 tff(1840,plain,
% 82.43/52.00 (v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1839, 119, 1728])).
% 82.43/52.00 tff(1841,plain,
% 82.43/52.00 (v100(constB12)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1840, 1833, 1657])).
% 82.43/52.00 tff(1842,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1843,plain,
% 82.43/52.00 ((v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2))) <=> (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1844,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1843])).
% 82.43/52.00 tff(1845,plain,
% 82.43/52.00 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1844, 1842])).
% 82.43/52.00 tff(1846,plain,
% 82.43/52.00 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1847,plain,
% 82.43/52.00 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 82.43/52.00 tff(1848,plain,
% 82.43/52.00 (v90(constB12, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1847, 1338, 1841, 1733])).
% 82.43/52.00 tff(1849,plain,
% 82.43/52.00 ((~v1(constB13)) <=> (~v1(constB13))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1850,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 82.43/52.00 tff(1851,plain,
% 82.43/52.00 (~v1(constB13)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 82.43/52.00 tff(1852,plain,
% 82.43/52.00 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1853,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 82.43/52.00 tff(1854,plain,
% 82.43/52.00 (nextState(constB12, constB13)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 82.43/52.00 tff(1855,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1856,plain,
% 82.43/52.00 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1857,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1856])).
% 82.43/52.00 tff(1858,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1857, 1855])).
% 82.43/52.00 tff(1859,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1860,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 82.43/52.00 tff(1861,plain,
% 82.43/52.00 (~v101(constB13)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1860, 66, 1854, 1851])).
% 82.43/52.00 tff(1862,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1863,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1864,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 82.43/52.00 tff(1865,plain,
% 82.43/52.00 (v101(constB13) | (~v100(constB13))),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1864, 83, 1854])).
% 82.43/52.00 tff(1866,plain,
% 82.43/52.00 (~v100(constB13)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1865, 1861])).
% 82.43/52.00 tff(1867,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1868,plain,
% 82.43/52.00 (((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)) <=> ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1869,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)))),
% 82.43/52.00 inference(monotonicity,[status(thm)],[1868])).
% 82.43/52.00 tff(1870,plain,
% 82.43/52.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 82.43/52.00 inference(transitivity,[status(thm)],[1869, 1867])).
% 82.43/52.00 tff(1871,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))),
% 82.43/52.00 inference(quant_inst,[status(thm)],[])).
% 82.43/52.00 tff(1872,plain,
% 82.43/52.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 82.43/52.00 tff(1873,plain,
% 82.43/52.00 ((~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1872, 1374, 1854])).
% 82.43/52.00 tff(1874,plain,
% 82.43/52.00 ((~v90(constB12, 2)) | v90(constB13, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1873, 1866])).
% 82.43/52.00 tff(1875,plain,
% 82.43/52.00 (v90(constB13, 2)),
% 82.43/52.00 inference(unit_resolution,[status(thm)],[1874, 1848])).
% 82.43/52.00 tff(1876,plain,
% 82.43/52.00 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, 0))))),
% 82.43/52.00 inference(bind,[status(th)],[])).
% 82.43/52.00 tff(1877,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.43/52.00 inference(quant_intro,[status(thm)],[1876])).
% 82.43/52.00 tff(1878,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.43/52.00 inference(rewrite,[status(thm)],[])).
% 82.43/52.00 tff(1879,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 82.43/52.00 tff(1880,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 82.43/52.00 tff(1881,plain,(
% 82.43/52.00 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.43/52.00 inference(skolemize,[status(sab)],[1880])).
% 82.43/52.00 tff(1882,plain,
% 82.43/52.00 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 82.43/52.00 inference(modus_ponens,[status(thm)],[1881, 1877])).
% 82.43/52.00 tff(1883,plain,
% 82.43/52.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1884,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1885,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 82.43/52.01 tff(1886,plain,
% 82.43/52.01 (~v130(constB11, 0)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1885, 1882, 1709])).
% 82.43/52.01 tff(1887,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1888,plain,
% 82.43/52.01 ((v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0))) <=> ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1889,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1888])).
% 82.43/52.01 tff(1890,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1889, 1887])).
% 82.43/52.01 tff(1891,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1892,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1891, 1890])).
% 82.43/52.01 tff(1893,plain,
% 82.43/52.01 ((~v127(constB11, 0)) | v26(constB11)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1892, 896, 1886])).
% 82.43/52.01 tff(1894,plain,
% 82.43/52.01 (~v127(constB11, 0)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1893, 38])).
% 82.43/52.01 tff(1895,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1896,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1897,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 82.43/52.01 tff(1898,plain,
% 82.43/52.01 (v127(constB11, 0) | (~v129(constB12, 0))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1897, 914, 1728])).
% 82.43/52.01 tff(1899,plain,
% 82.43/52.01 (~v129(constB12, 0)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1898, 1894])).
% 82.43/52.01 tff(1900,plain,
% 82.43/52.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1901,plain,
% 82.43/52.01 (((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0)) <=> ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1902,plain,
% 82.43/52.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1901])).
% 82.43/52.01 tff(1903,plain,
% 82.43/52.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1902, 1900])).
% 82.43/52.01 tff(1904,plain,
% 82.43/52.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1905,plain,
% 82.43/52.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 82.43/52.01 tff(1906,plain,
% 82.43/52.01 (~v90(constB12, 0)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1905, 929, 1841, 1899])).
% 82.43/52.01 tff(1907,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1908,plain,
% 82.43/52.01 (((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))) <=> (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1909,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1908])).
% 82.43/52.01 tff(1910,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1909, 1907])).
% 82.43/52.01 tff(1911,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1912,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 82.43/52.01 tff(1913,plain,
% 82.43/52.01 (v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1912, 140, 1854])).
% 82.43/52.01 tff(1914,plain,
% 82.43/52.01 (v90(constB12, 0) | (~v90(constB13, 0))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1913, 1866])).
% 82.43/52.01 tff(1915,plain,
% 82.43/52.01 (~v90(constB13, 0)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1914, 1906])).
% 82.43/52.01 tff(1916,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1917,plain,
% 82.43/52.01 (((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)) <=> ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1918,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1917])).
% 82.43/52.01 tff(1919,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1918, 1916])).
% 82.43/52.01 tff(1920,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1921,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 82.43/52.01 tff(1922,plain,
% 82.43/52.01 ((~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1921, 866, 1854])).
% 82.43/52.01 tff(1923,plain,
% 82.43/52.01 ((~v90(constB12, 1)) | v90(constB13, 1)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1922, 1866])).
% 82.43/52.01 tff(1924,plain,
% 82.43/52.01 (v90(constB13, 1)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1923, 1833])).
% 82.43/52.01 tff(1925,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(1926,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[1925])).
% 82.43/52.01 tff(1927,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1928,plain,
% 82.43/52.01 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 0) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(1929,plain,
% 82.43/52.01 (![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[1928])).
% 82.43/52.01 tff(1930,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 82.43/52.01 tff(1931,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 82.43/52.01 tff(1932,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1931, 1927])).
% 82.43/52.01 tff(1933,plain,(
% 82.43/52.01 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(skolemize,[status(sab)],[1932])).
% 82.43/52.01 tff(1934,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1933, 1926])).
% 82.43/52.01 tff(1935,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1936,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1937,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 82.43/52.01 tff(1938,plain,
% 82.43/52.01 (v90(constB13, 0) | (~v90(constB13, 2)) | v125(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1937, 1934, 1924])).
% 82.43/52.01 tff(1939,plain,
% 82.43/52.01 (v125(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1938, 1915, 1875])).
% 82.43/52.01 tff(1940,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(1941,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[1940])).
% 82.43/52.01 tff(1942,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1943,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 82.43/52.01 tff(1944,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 82.43/52.01 tff(1945,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 82.43/52.01 inference(skolemize,[status(sab)],[1944])).
% 82.43/52.01 tff(1946,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1945, 1941])).
% 82.43/52.01 tff(1947,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1948,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1949,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 82.43/52.01 tff(1950,plain,
% 82.43/52.01 (v113(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1949, 1946, 1939])).
% 82.43/52.01 tff(1951,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1952,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1953,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 82.43/52.01 tff(1954,plain,
% 82.43/52.01 (v26(constB13) | v112(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1953, 256, 1950])).
% 82.43/52.01 tff(1955,plain,
% 82.43/52.01 (v112(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1954, 34])).
% 82.43/52.01 tff(1956,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1957,plain,
% 82.43/52.01 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1958,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1957])).
% 82.43/52.01 tff(1959,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1958, 1956])).
% 82.43/52.01 tff(1960,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1961,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 82.43/52.01 tff(1962,plain,
% 82.43/52.01 (v108(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1961, 268, 1955])).
% 82.43/52.01 tff(1963,plain,
% 82.43/52.01 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1964,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 82.43/52.01 tff(1965,plain,
% 82.43/52.01 (nextState(constB13, constB14)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 82.43/52.01 tff(1966,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1967,plain,
% 82.43/52.01 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1968,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1967])).
% 82.43/52.01 tff(1969,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1968, 1966])).
% 82.43/52.01 tff(1970,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1971,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 82.43/52.01 tff(1972,plain,
% 82.43/52.01 (v110(constB14) | (~v108(constB13))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1971, 288, 1965])).
% 82.43/52.01 tff(1973,plain,
% 82.43/52.01 (v110(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1972, 1962])).
% 82.43/52.01 tff(1974,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1975,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1976,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 82.43/52.01 tff(1977,plain,
% 82.43/52.01 (~v104(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1976, 306, 1965, 1851])).
% 82.43/52.01 tff(1978,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1979,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1980,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 82.43/52.01 tff(1981,plain,
% 82.43/52.01 (v102(constB14) | v104(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1980, 320, 1965])).
% 82.43/52.01 tff(1982,plain,
% 82.43/52.01 (v102(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1981, 1977])).
% 82.43/52.01 tff(1983,plain,
% 82.43/52.01 (v1(constB14) <=> v1(constB14)),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1984,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 82.43/52.01 tff(1985,plain,
% 82.43/52.01 (v1(constB14)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 82.43/52.01 tff(1986,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1987,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1988,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 82.43/52.01 tff(1989,plain,
% 82.43/52.01 (v101(constB14) | (~v102(constB14))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1988, 338, 1965, 1985])).
% 82.43/52.01 tff(1990,plain,
% 82.43/52.01 (v101(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1989, 1982])).
% 82.43/52.01 tff(1991,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1992,plain,
% 82.43/52.01 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(1993,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[1992])).
% 82.43/52.01 tff(1994,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 82.43/52.01 inference(transitivity,[status(thm)],[1993, 1991])).
% 82.43/52.01 tff(1995,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(1996,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 82.43/52.01 tff(1997,plain,
% 82.43/52.01 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1996, 353, 1965])).
% 82.43/52.01 tff(1998,plain,
% 82.43/52.01 (v100(constB14) | (~v110(constB14))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1997, 1990])).
% 82.43/52.01 tff(1999,plain,
% 82.43/52.01 (v100(constB14)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[1998, 1973])).
% 82.43/52.01 tff(2000,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, 2))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2001,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2000])).
% 82.43/52.01 tff(2002,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2003,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 82.43/52.01 tff(2004,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 82.43/52.01 tff(2005,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2004])).
% 82.43/52.01 tff(2006,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2005, 2001])).
% 82.43/52.01 tff(2007,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2008,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2009,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 82.43/52.01 tff(2010,plain,
% 82.43/52.01 (~v122(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2009, 2006, 1875])).
% 82.43/52.01 tff(2011,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 2))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2012,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2011])).
% 82.43/52.01 tff(2013,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2014,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 82.43/52.01 tff(2015,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 82.43/52.01 tff(2016,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2015])).
% 82.43/52.01 tff(2017,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2016, 2012])).
% 82.43/52.01 tff(2018,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2019,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2020,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 82.43/52.01 tff(2021,plain,
% 82.43/52.01 (~v121(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2020, 2017, 1875])).
% 82.43/52.01 tff(2022,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 1))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2023,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2022])).
% 82.43/52.01 tff(2024,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2025,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 82.43/52.01 tff(2026,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 82.43/52.01 tff(2027,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2026])).
% 82.43/52.01 tff(2028,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2027, 2023])).
% 82.43/52.01 tff(2029,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2030,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2031,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 82.43/52.01 tff(2032,plain,
% 82.43/52.01 (~v119(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2031, 2028, 1924])).
% 82.43/52.01 tff(2033,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 1))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2034,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2033])).
% 82.43/52.01 tff(2035,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2036,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 82.43/52.01 tff(2037,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 82.43/52.01 tff(2038,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2037])).
% 82.43/52.01 tff(2039,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2038, 2034])).
% 82.43/52.01 tff(2040,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2041,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2042,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 82.43/52.01 tff(2043,plain,
% 82.43/52.01 (~v120(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2042, 2039, 1924])).
% 82.43/52.01 tff(2044,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 1))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2045,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2044])).
% 82.43/52.01 tff(2046,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2047,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 82.43/52.01 tff(2048,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 82.43/52.01 tff(2049,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2048])).
% 82.43/52.01 tff(2050,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2049, 2045])).
% 82.43/52.01 tff(2051,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2052,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2053,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 82.43/52.01 tff(2054,plain,
% 82.43/52.01 (~v123(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2053, 2050, 1924])).
% 82.43/52.01 tff(2055,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, 1))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2056,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2055])).
% 82.43/52.01 tff(2057,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2058,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 82.43/52.01 tff(2059,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 82.43/52.01 tff(2060,plain,(
% 82.43/52.01 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2059])).
% 82.43/52.01 tff(2061,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2060, 2056])).
% 82.43/52.01 tff(2062,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2063,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2064,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 82.43/52.01 tff(2065,plain,
% 82.43/52.01 (~v124(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2064, 2061, 1924])).
% 82.43/52.01 tff(2066,plain,
% 82.43/52.01 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2067,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2066])).
% 82.43/52.01 tff(2068,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2069,plain,
% 82.43/52.01 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))))),
% 82.43/52.01 inference(bind,[status(th)],[])).
% 82.43/52.01 tff(2070,plain,
% 82.43/52.01 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(quant_intro,[status(thm)],[2069])).
% 82.43/52.01 tff(2071,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 82.43/52.01 tff(2072,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 82.43/52.01 tff(2073,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2072, 2068])).
% 82.43/52.01 tff(2074,plain,(
% 82.43/52.01 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(skolemize,[status(sab)],[2073])).
% 82.43/52.01 tff(2075,plain,
% 82.43/52.01 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2074, 2067])).
% 82.43/52.01 tff(2076,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2077,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2078,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 82.43/52.01 tff(2079,plain,
% 82.43/52.01 (v121(constB13) | v122(constB13) | (~v130(constB13, 2))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2078, 2075, 2065, 2054, 2043, 2032])).
% 82.43/52.01 tff(2080,plain,
% 82.43/52.01 (~v130(constB13, 2)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2079, 2021, 2010])).
% 82.43/52.01 tff(2081,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2082,plain,
% 82.43/52.01 ((v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2))) <=> ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2083,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)))),
% 82.43/52.01 inference(monotonicity,[status(thm)],[2082])).
% 82.43/52.01 tff(2084,plain,
% 82.43/52.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 82.43/52.01 inference(transitivity,[status(thm)],[2083, 2081])).
% 82.43/52.01 tff(2085,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2086,plain,
% 82.43/52.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 82.43/52.01 tff(2087,plain,
% 82.43/52.01 ((~v127(constB13, 2)) | v26(constB13)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2086, 556, 2080])).
% 82.43/52.01 tff(2088,plain,
% 82.43/52.01 (~v127(constB13, 2)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2087, 34])).
% 82.43/52.01 tff(2089,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2090,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2091,plain,
% 82.43/52.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 82.43/52.01 tff(2092,plain,
% 82.43/52.01 (v127(constB13, 2) | (~v129(constB14, 2))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2091, 574, 1965])).
% 82.43/52.01 tff(2093,plain,
% 82.43/52.01 (~v129(constB14, 2)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2092, 2088])).
% 82.43/52.01 tff(2094,plain,
% 82.43/52.01 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2095,plain,
% 82.43/52.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 82.43/52.01 inference(quant_inst,[status(thm)],[])).
% 82.43/52.01 tff(2096,plain,
% 82.43/52.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14))),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 82.43/52.01 tff(2097,plain,
% 82.43/52.01 ((~v90(constB14, 2)) | (~v100(constB14))),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2096, 589, 2093])).
% 82.43/52.01 tff(2098,plain,
% 82.43/52.01 (~v90(constB14, 2)),
% 82.43/52.01 inference(unit_resolution,[status(thm)],[2097, 1999])).
% 82.43/52.01 tff(2099,plain,
% 82.43/52.01 ((~v1(constB15)) <=> (~v1(constB15))),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2100,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 82.43/52.01 tff(2101,plain,
% 82.43/52.01 (~v1(constB15)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 82.43/52.01 tff(2102,plain,
% 82.43/52.01 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 82.43/52.01 inference(rewrite,[status(thm)],[])).
% 82.43/52.01 tff(2103,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 82.43/52.01 tff(2104,plain,
% 82.43/52.01 (nextState(constB14, constB15)),
% 82.43/52.01 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 82.43/52.01 tff(2105,plain,
% 82.43/52.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2106,plain,
% 82.43/52.02 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2107,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2106])).
% 82.43/52.02 tff(2108,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2107, 2105])).
% 82.43/52.02 tff(2109,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2110,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 82.43/52.02 tff(2111,plain,
% 82.43/52.02 (~v101(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2110, 66, 2104, 2101])).
% 82.43/52.02 tff(2112,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2113,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2114,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 82.43/52.02 tff(2115,plain,
% 82.43/52.02 (v101(constB15) | (~v100(constB15))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2114, 83, 2104])).
% 82.43/52.02 tff(2116,plain,
% 82.43/52.02 (~v100(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2115, 2111])).
% 82.43/52.02 tff(2117,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2118,plain,
% 82.43/52.02 (((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))) <=> (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2119,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2118])).
% 82.43/52.02 tff(2120,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2119, 2117])).
% 82.43/52.02 tff(2121,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2122,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 82.43/52.02 tff(2123,plain,
% 82.43/52.02 (v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2122, 98, 2104])).
% 82.43/52.02 tff(2124,plain,
% 82.43/52.02 (v90(constB14, 2) | (~v90(constB15, 2))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2123, 2116])).
% 82.43/52.02 tff(2125,plain,
% 82.43/52.02 (~v90(constB15, 2)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2124, 2098])).
% 82.43/52.02 tff(2126,plain,
% 82.43/52.02 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))))),
% 82.43/52.02 inference(bind,[status(th)],[])).
% 82.43/52.02 tff(2127,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(quant_intro,[status(thm)],[2126])).
% 82.43/52.02 tff(2128,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2129,plain,
% 82.43/52.02 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))))),
% 82.43/52.02 inference(bind,[status(th)],[])).
% 82.43/52.02 tff(2130,plain,
% 82.43/52.02 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(quant_intro,[status(thm)],[2129])).
% 82.43/52.02 tff(2131,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 82.43/52.02 tff(2132,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 82.43/52.02 tff(2133,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2132, 2128])).
% 82.43/52.02 tff(2134,plain,(
% 82.43/52.02 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(skolemize,[status(sab)],[2133])).
% 82.43/52.02 tff(2135,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2134, 2127])).
% 82.43/52.02 tff(2136,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2137,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2138,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 82.43/52.02 tff(2139,plain,
% 82.43/52.02 (v121(constB13) | v122(constB13) | (~v130(constB13, 1))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2138, 2135, 2065, 2054, 2043, 2032])).
% 82.43/52.02 tff(2140,plain,
% 82.43/52.02 (~v130(constB13, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2139, 2021, 2010])).
% 82.43/52.02 tff(2141,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2142,plain,
% 82.43/52.02 ((v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1))) <=> ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2143,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2142])).
% 82.43/52.02 tff(2144,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2143, 2141])).
% 82.43/52.02 tff(2145,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2146,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 82.43/52.02 tff(2147,plain,
% 82.43/52.02 ((~v127(constB13, 1)) | v26(constB13)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2146, 383, 2140])).
% 82.43/52.02 tff(2148,plain,
% 82.43/52.02 (~v127(constB13, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2147, 34])).
% 82.43/52.02 tff(2149,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2150,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2151,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2150, 2149])).
% 82.43/52.02 tff(2152,plain,
% 82.43/52.02 (v127(constB13, 1) | (~v129(constB14, 1))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2151, 401, 1965])).
% 82.43/52.02 tff(2153,plain,
% 82.43/52.02 (~v129(constB14, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2152, 2148])).
% 82.43/52.02 tff(2154,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2155,plain,
% 82.43/52.02 (((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1)) <=> ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2156,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2155])).
% 82.43/52.02 tff(2157,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2156, 2154])).
% 82.43/52.02 tff(2158,plain,
% 82.43/52.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2159,plain,
% 82.43/52.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 82.43/52.02 tff(2160,plain,
% 82.43/52.02 ((~v90(constB14, 1)) | (~v100(constB14))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2159, 416, 2153])).
% 82.43/52.02 tff(2161,plain,
% 82.43/52.02 (~v90(constB14, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2160, 1999])).
% 82.43/52.02 tff(2162,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2163,plain,
% 82.43/52.02 (((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))) <=> (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2164,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2163])).
% 82.43/52.02 tff(2165,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2164, 2162])).
% 82.43/52.02 tff(2166,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2167,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 82.43/52.02 tff(2168,plain,
% 82.43/52.02 (v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2167, 119, 2104])).
% 82.43/52.02 tff(2169,plain,
% 82.43/52.02 (v90(constB14, 1) | (~v90(constB15, 1))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2168, 2116])).
% 82.43/52.02 tff(2170,plain,
% 82.43/52.02 (~v90(constB15, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2169, 2161])).
% 82.43/52.02 tff(2171,plain,
% 82.43/52.02 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)))),
% 82.43/52.02 inference(bind,[status(th)],[])).
% 82.43/52.02 tff(2172,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(quant_intro,[status(thm)],[2171])).
% 82.43/52.02 tff(2173,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2174,plain,
% 82.43/52.02 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))))),
% 82.43/52.02 inference(bind,[status(th)],[])).
% 82.43/52.02 tff(2175,plain,
% 82.43/52.02 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(quant_intro,[status(thm)],[2174])).
% 82.43/52.02 tff(2176,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 82.43/52.02 tff(2177,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 82.43/52.02 tff(2178,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2177, 2173])).
% 82.43/52.02 tff(2179,plain,(
% 82.43/52.02 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(skolemize,[status(sab)],[2178])).
% 82.43/52.02 tff(2180,plain,
% 82.43/52.02 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2179, 2172])).
% 82.43/52.02 tff(2181,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2182,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2183,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 82.43/52.02 tff(2184,plain,
% 82.43/52.02 (v121(constB13) | v122(constB13) | v130(constB13, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2183, 2180, 2065, 2054, 2043, 2032])).
% 82.43/52.02 tff(2185,plain,
% 82.43/52.02 (v130(constB13, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2184, 2021, 2010])).
% 82.43/52.02 tff(2186,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2187,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2188,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 82.43/52.02 tff(2189,plain,
% 82.43/52.02 (v26(constB13) | v127(constB13, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2188, 478, 2185])).
% 82.43/52.02 tff(2190,plain,
% 82.43/52.02 (v127(constB13, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2189, 34])).
% 82.43/52.02 tff(2191,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2192,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2193,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 82.43/52.02 tff(2194,plain,
% 82.43/52.02 ((~v127(constB13, 0)) | v129(constB14, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2193, 493, 1965])).
% 82.43/52.02 tff(2195,plain,
% 82.43/52.02 (v129(constB14, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2194, 2190])).
% 82.43/52.02 tff(2196,plain,
% 82.43/52.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2197,plain,
% 82.43/52.02 ((v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0))) <=> (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2198,plain,
% 82.43/52.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2197])).
% 82.43/52.02 tff(2199,plain,
% 82.43/52.02 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2198, 2196])).
% 82.43/52.02 tff(2200,plain,
% 82.43/52.02 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2201,plain,
% 82.43/52.02 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 82.43/52.02 tff(2202,plain,
% 82.43/52.02 (v90(constB14, 0) | (~v100(constB14))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2201, 508, 2195])).
% 82.43/52.02 tff(2203,plain,
% 82.43/52.02 (v90(constB14, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2202, 1999])).
% 82.43/52.02 tff(2204,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2205,plain,
% 82.43/52.02 (((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)) <=> ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2206,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2205])).
% 82.43/52.02 tff(2207,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2206, 2204])).
% 82.43/52.02 tff(2208,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2209,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 82.43/52.02 tff(2210,plain,
% 82.43/52.02 ((~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2209, 526, 2104])).
% 82.43/52.02 tff(2211,plain,
% 82.43/52.02 ((~v90(constB14, 0)) | v90(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2210, 2116])).
% 82.43/52.02 tff(2212,plain,
% 82.43/52.02 (v90(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2211, 2203])).
% 82.43/52.02 tff(2213,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2214,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2215,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 82.43/52.02 tff(2216,plain,
% 82.43/52.02 (v120(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2215, 614, 2212, 2170, 2125])).
% 82.43/52.02 tff(2217,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2218,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2219,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 82.43/52.02 tff(2220,plain,
% 82.43/52.02 (v130(constB15, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2219, 804, 2216])).
% 82.43/52.02 tff(2221,assumption,(v26(constB15)), introduced(assumption)).
% 82.43/52.02 tff(2222,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2223,plain,
% 82.43/52.02 ($false),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2222, 19, 2221])).
% 82.43/52.02 tff(2224,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 82.43/52.02 tff(2225,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2226,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2227,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 82.43/52.02 tff(2228,plain,
% 82.43/52.02 ((~v130(constB15, 1)) | v127(constB15, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2227, 818, 2224])).
% 82.43/52.02 tff(2229,plain,
% 82.43/52.02 (v127(constB15, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2228, 2220])).
% 82.43/52.02 tff(2230,plain,
% 82.43/52.02 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2231,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 82.43/52.02 tff(2232,plain,
% 82.43/52.02 (nextState(constB15, constB16)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 82.43/52.02 tff(2233,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2234,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2235,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 82.43/52.02 tff(2236,plain,
% 82.43/52.02 ((~v127(constB15, 1)) | v129(constB16, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2235, 833, 2232])).
% 82.43/52.02 tff(2237,plain,
% 82.43/52.02 (v129(constB16, 1)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2236, 2229])).
% 82.43/52.02 tff(2238,assumption,(v120(constB15)), introduced(assumption)).
% 82.43/52.02 tff(2239,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB15)) | v118(constB15))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2240,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2241,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB15)) | v118(constB15)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 82.43/52.02 tff(2242,plain,
% 82.43/52.02 (v118(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2241, 628, 2238])).
% 82.43/52.02 tff(2243,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB15)) | v117(constB15))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2244,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2245,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB15)) | v117(constB15)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 82.43/52.02 tff(2246,plain,
% 82.43/52.02 (v117(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2245, 186, 2242])).
% 82.43/52.02 tff(2247,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2248,plain,
% 82.43/52.02 (((~v117(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v117(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2249,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2248])).
% 82.43/52.02 tff(2250,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2249, 2247])).
% 82.43/52.02 tff(2251,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2252,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 82.43/52.02 tff(2253,plain,
% 82.43/52.02 (v116(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2252, 200, 2246])).
% 82.43/52.02 tff(2254,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2255,plain,
% 82.43/52.02 (((~v116(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v116(constB15)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2256,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2255])).
% 82.43/52.02 tff(2257,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2256, 2254])).
% 82.43/52.02 tff(2258,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2259,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 82.43/52.02 tff(2260,plain,
% 82.43/52.02 (v115(constB15)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2259, 214, 2253])).
% 82.43/52.02 tff(2261,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2262,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2263,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 82.43/52.02 tff(2264,plain,
% 82.43/52.02 (~v130(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2263, 882, 2238])).
% 82.43/52.02 tff(2265,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2266,plain,
% 82.43/52.02 ((v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0))) <=> ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2267,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2266])).
% 82.43/52.02 tff(2268,plain,
% 82.43/52.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 82.43/52.02 inference(transitivity,[status(thm)],[2267, 2265])).
% 82.43/52.02 tff(2269,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2270,plain,
% 82.43/52.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2269, 2268])).
% 82.43/52.02 tff(2271,plain,
% 82.43/52.02 ((~v127(constB15, 0)) | v130(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2270, 896, 2224])).
% 82.43/52.02 tff(2272,plain,
% 82.43/52.02 (~v127(constB15, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2271, 2264])).
% 82.43/52.02 tff(2273,plain,
% 82.43/52.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2274,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 82.43/52.02 inference(quant_inst,[status(thm)],[])).
% 82.43/52.02 tff(2275,plain,
% 82.43/52.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0))),
% 82.43/52.02 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 82.43/52.02 tff(2276,plain,
% 82.43/52.02 (v127(constB15, 0) | (~v129(constB16, 0))),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2275, 914, 2232])).
% 82.43/52.02 tff(2277,plain,
% 82.43/52.02 (~v129(constB16, 0)),
% 82.43/52.02 inference(unit_resolution,[status(thm)],[2276, 2272])).
% 82.43/52.02 tff(2278,assumption,(v90(constB16, 0)), introduced(assumption)).
% 82.43/52.02 tff(2279,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2280,plain,
% 82.43/52.02 (((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0)) <=> ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 82.43/52.02 inference(rewrite,[status(thm)],[])).
% 82.43/52.02 tff(2281,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))))),
% 82.43/52.02 inference(monotonicity,[status(thm)],[2280])).
% 82.43/52.02 tff(2282,plain,
% 82.43/52.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2281, 2279])).
% 82.43/52.03 tff(2283,plain,
% 82.43/52.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2284,plain,
% 82.43/52.03 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 82.43/52.03 tff(2285,plain,
% 82.43/52.03 (v129(constB16, 0) | (~v100(constB16))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2284, 929, 2278])).
% 82.43/52.03 tff(2286,plain,
% 82.43/52.03 (~v100(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2285, 2277])).
% 82.43/52.03 tff(2287,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2288,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2289,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 82.43/52.03 tff(2290,plain,
% 82.43/52.03 (~v104(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2289, 306, 2232, 2101])).
% 82.43/52.03 tff(2291,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2292,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2293,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 82.43/52.03 tff(2294,plain,
% 82.43/52.03 (v102(constB16) | v104(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2293, 320, 2232])).
% 82.43/52.03 tff(2295,plain,
% 82.43/52.03 (v102(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2294, 2290])).
% 82.43/52.03 tff(2296,plain,
% 82.43/52.03 (v1(constB16) <=> v1(constB16)),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2297,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 82.43/52.03 tff(2298,plain,
% 82.43/52.03 (v1(constB16)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 82.43/52.03 tff(2299,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2300,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2301,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2300, 2299])).
% 82.43/52.03 tff(2302,plain,
% 82.43/52.03 (v101(constB16) | (~v102(constB16))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2301, 338, 2232, 2298])).
% 82.43/52.03 tff(2303,plain,
% 82.43/52.03 (v101(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2302, 2295])).
% 82.43/52.03 tff(2304,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2305,plain,
% 82.43/52.03 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2306,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2305])).
% 82.43/52.03 tff(2307,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2306, 2304])).
% 82.43/52.03 tff(2308,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2309,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 82.43/52.03 tff(2310,plain,
% 82.43/52.03 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2309, 353, 2232])).
% 82.43/52.03 tff(2311,plain,
% 82.43/52.03 (v100(constB16) | (~v110(constB16))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2310, 2303])).
% 82.43/52.03 tff(2312,plain,
% 82.43/52.03 (~v110(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2311, 2286])).
% 82.43/52.03 tff(2313,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2314,plain,
% 82.43/52.03 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2315,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2314])).
% 82.43/52.03 tff(2316,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2315, 2313])).
% 82.43/52.03 tff(2317,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2318,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 82.43/52.03 tff(2319,plain,
% 82.43/52.03 (v110(constB16) | (~v108(constB15))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2318, 288, 2232])).
% 82.43/52.03 tff(2320,plain,
% 82.43/52.03 (~v108(constB15)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2319, 2312])).
% 82.43/52.03 tff(2321,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2322,plain,
% 82.43/52.03 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2323,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2322])).
% 82.43/52.03 tff(2324,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2323, 2321])).
% 82.43/52.03 tff(2325,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2326,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 82.43/52.03 tff(2327,plain,
% 82.43/52.03 (~v112(constB15)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2326, 268, 2320])).
% 82.43/52.03 tff(2328,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2329,plain,
% 82.43/52.03 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2330,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2329])).
% 82.43/52.03 tff(2331,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2330, 2328])).
% 82.43/52.03 tff(2332,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2333,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 82.43/52.03 tff(2334,plain,
% 82.43/52.03 (v112(constB15) | (~v113(constB15))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2333, 256, 2224])).
% 82.43/52.03 tff(2335,plain,
% 82.43/52.03 (~v113(constB15)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2334, 2327])).
% 82.43/52.03 tff(2336,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB15)) | v113(constB15))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2337,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2338,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB15)) | v113(constB15)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 82.43/52.03 tff(2339,plain,
% 82.43/52.03 (~v114(constB15)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2338, 242, 2335])).
% 82.43/52.03 tff(2340,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2341,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2342,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB15)) | v114(constB15)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 82.43/52.03 tff(2343,plain,
% 82.43/52.03 ($false),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2342, 228, 2339, 2260])).
% 82.43/52.03 tff(2344,plain,((~v120(constB15)) | (~v90(constB16, 0))), inference(lemma,lemma(discharge,[]))).
% 82.43/52.03 tff(2345,plain,
% 82.43/52.03 (~v90(constB16, 0)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2344, 2216])).
% 82.43/52.03 tff(2346,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2347,plain,
% 82.43/52.03 (((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0)) <=> ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2348,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0)))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2347])).
% 82.43/52.03 tff(2349,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2348, 2346])).
% 82.43/52.03 tff(2350,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2351,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 82.43/52.03 tff(2352,plain,
% 82.43/52.03 ((~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2351, 526, 2232])).
% 82.43/52.03 tff(2353,plain,
% 82.43/52.03 (v100(constB16)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2352, 2345, 2212])).
% 82.43/52.03 tff(2354,plain,
% 82.43/52.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2355,plain,
% 82.43/52.03 ((v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1))) <=> (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2356,plain,
% 82.43/52.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2355])).
% 82.43/52.03 tff(2357,plain,
% 82.43/52.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2356, 2354])).
% 82.43/52.03 tff(2358,plain,
% 82.43/52.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2359,plain,
% 82.43/52.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 82.43/52.03 tff(2360,plain,
% 82.43/52.03 (v90(constB16, 1) | (~v129(constB16, 1))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2359, 848, 2353])).
% 82.43/52.03 tff(2361,plain,
% 82.43/52.03 (v90(constB16, 1)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2360, 2237])).
% 82.43/52.03 tff(2362,plain,
% 82.43/52.03 ((~v1(constB17)) <=> (~v1(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2363,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 82.43/52.03 tff(2364,plain,
% 82.43/52.03 (~v1(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 82.43/52.03 tff(2365,plain,
% 82.43/52.03 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2366,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 82.43/52.03 tff(2367,plain,
% 82.43/52.03 (nextState(constB16, constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 82.43/52.03 tff(2368,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2369,plain,
% 82.43/52.03 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2370,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2369])).
% 82.43/52.03 tff(2371,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2370, 2368])).
% 82.43/52.03 tff(2372,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2373,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 82.43/52.03 tff(2374,plain,
% 82.43/52.03 (~v101(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2373, 66, 2367, 2364])).
% 82.43/52.03 tff(2375,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2376,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2377,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 82.43/52.03 tff(2378,plain,
% 82.43/52.03 (v101(constB17) | (~v100(constB17))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2377, 83, 2367])).
% 82.43/52.03 tff(2379,plain,
% 82.43/52.03 (~v100(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2378, 2374])).
% 82.43/52.03 tff(2380,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2381,plain,
% 82.43/52.03 (((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)) <=> ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2382,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2381])).
% 82.43/52.03 tff(2383,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2382, 2380])).
% 82.43/52.03 tff(2384,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2385,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 82.43/52.03 tff(2386,plain,
% 82.43/52.03 ((~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2385, 866, 2367])).
% 82.43/52.03 tff(2387,plain,
% 82.43/52.03 ((~v90(constB16, 1)) | v90(constB17, 1)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2386, 2379])).
% 82.43/52.03 tff(2388,plain,
% 82.43/52.03 (v90(constB17, 1)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2387, 2361])).
% 82.43/52.03 tff(2389,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2390,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2391,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 82.43/52.03 tff(2392,plain,
% 82.43/52.03 (~v130(constB15, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2391, 744, 2216])).
% 82.43/52.03 tff(2393,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2394,plain,
% 82.43/52.03 ((v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2))) <=> ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2395,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2394])).
% 82.43/52.03 tff(2396,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2395, 2393])).
% 82.43/52.03 tff(2397,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2398,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 82.43/52.03 tff(2399,plain,
% 82.43/52.03 ((~v127(constB15, 2)) | v130(constB15, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2398, 556, 2224])).
% 82.43/52.03 tff(2400,plain,
% 82.43/52.03 (~v127(constB15, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2399, 2392])).
% 82.43/52.03 tff(2401,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2402,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2403,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 82.43/52.03 tff(2404,plain,
% 82.43/52.03 (v127(constB15, 2) | (~v129(constB16, 2))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2403, 574, 2232])).
% 82.43/52.03 tff(2405,plain,
% 82.43/52.03 (~v129(constB16, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2404, 2400])).
% 82.43/52.03 tff(2406,plain,
% 82.43/52.03 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2407,plain,
% 82.43/52.03 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2408,plain,
% 82.43/52.03 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 82.43/52.03 tff(2409,plain,
% 82.43/52.03 ((~v90(constB16, 2)) | v129(constB16, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2408, 589, 2353])).
% 82.43/52.03 tff(2410,plain,
% 82.43/52.03 (~v90(constB16, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2409, 2405])).
% 82.43/52.03 tff(2411,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2412,plain,
% 82.43/52.03 (((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))) <=> (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2413,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2412])).
% 82.43/52.03 tff(2414,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2413, 2411])).
% 82.43/52.03 tff(2415,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2416,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 82.43/52.03 tff(2417,plain,
% 82.43/52.03 (v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2416, 98, 2367])).
% 82.43/52.03 tff(2418,plain,
% 82.43/52.03 (v90(constB16, 2) | (~v90(constB17, 2))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2417, 2379])).
% 82.43/52.03 tff(2419,plain,
% 82.43/52.03 (~v90(constB17, 2)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2418, 2410])).
% 82.43/52.03 tff(2420,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2421,plain,
% 82.43/52.03 (((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))) <=> (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2422,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2421])).
% 82.43/52.03 tff(2423,plain,
% 82.43/52.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2422, 2420])).
% 82.43/52.03 tff(2424,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2425,plain,
% 82.43/52.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 82.43/52.03 tff(2426,plain,
% 82.43/52.03 (v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2425, 140, 2367])).
% 82.43/52.03 tff(2427,plain,
% 82.43/52.03 (v90(constB16, 0) | (~v90(constB17, 0))),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2426, 2379])).
% 82.43/52.03 tff(2428,plain,
% 82.43/52.03 (~v90(constB17, 0)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2427, 2345])).
% 82.43/52.03 tff(2429,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2430,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2431,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 82.43/52.03 tff(2432,plain,
% 82.43/52.03 ((~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2431, 956, 2428])).
% 82.43/52.03 tff(2433,plain,
% 82.43/52.03 (v121(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2432, 2419, 2388])).
% 82.43/52.03 tff(2434,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2435,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2436,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 82.43/52.03 tff(2437,plain,
% 82.43/52.03 (v117(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2436, 967, 2433])).
% 82.43/52.03 tff(2438,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2439,plain,
% 82.43/52.03 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2440,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2439])).
% 82.43/52.03 tff(2441,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2440, 2438])).
% 82.43/52.03 tff(2442,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2443,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 82.43/52.03 tff(2444,plain,
% 82.43/52.03 (v116(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2443, 200, 2437])).
% 82.43/52.03 tff(2445,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2446,plain,
% 82.43/52.03 (((~v116(constB17)) | v115(constB17)) <=> (v115(constB17) | (~v116(constB17)))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2447,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17))))),
% 82.43/52.03 inference(monotonicity,[status(thm)],[2446])).
% 82.43/52.03 tff(2448,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 82.43/52.03 inference(transitivity,[status(thm)],[2447, 2445])).
% 82.43/52.03 tff(2449,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2450,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17))),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 82.43/52.03 tff(2451,plain,
% 82.43/52.03 (v115(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2450, 214, 2444])).
% 82.43/52.03 tff(2452,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB17)) | v114(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2453,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2454,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB17)) | v114(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 82.43/52.03 tff(2455,plain,
% 82.43/52.03 (v114(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2454, 228, 2451])).
% 82.43/52.03 tff(2456,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2457,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2458,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 82.43/52.03 tff(2459,plain,
% 82.43/52.03 (v113(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2458, 242, 2455])).
% 82.43/52.03 tff(2460,assumption,(v26(constB17)), introduced(assumption)).
% 82.43/52.03 tff(2461,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2462,plain,
% 82.43/52.03 ($false),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2461, 19, 2460])).
% 82.43/52.03 tff(2463,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 82.43/52.03 tff(2464,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 82.43/52.03 inference(rewrite,[status(thm)],[])).
% 82.43/52.03 tff(2465,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 82.43/52.03 inference(quant_inst,[status(thm)],[])).
% 82.43/52.03 tff(2466,plain,
% 82.43/52.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 82.43/52.03 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 82.43/52.03 tff(2467,plain,
% 82.43/52.03 ((~v113(constB17)) | v112(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2466, 256, 2463])).
% 82.43/52.03 tff(2468,plain,
% 82.43/52.03 (v112(constB17)),
% 82.43/52.03 inference(unit_resolution,[status(thm)],[2467, 2459])).
% 82.43/52.03 tff(2469,plain,
% 82.43/52.03 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2470,plain,
% 82.43/52.04 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2471,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2470])).
% 82.43/52.04 tff(2472,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2471, 2469])).
% 82.43/52.04 tff(2473,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2474,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 82.43/52.04 tff(2475,plain,
% 82.43/52.04 (v108(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2474, 268, 2468])).
% 82.43/52.04 tff(2476,plain,
% 82.43/52.04 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2477,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 82.43/52.04 tff(2478,plain,
% 82.43/52.04 (nextState(constB17, constB18)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 82.43/52.04 tff(2479,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2480,plain,
% 82.43/52.04 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2481,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2480])).
% 82.43/52.04 tff(2482,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2481, 2479])).
% 82.43/52.04 tff(2483,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2484,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 82.43/52.04 tff(2485,plain,
% 82.43/52.04 (v110(constB18) | (~v108(constB17))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2484, 288, 2478])).
% 82.43/52.04 tff(2486,plain,
% 82.43/52.04 (v110(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2485, 2475])).
% 82.43/52.04 tff(2487,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2488,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2489,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 82.43/52.04 tff(2490,plain,
% 82.43/52.04 (~v104(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2489, 306, 2478, 2364])).
% 82.43/52.04 tff(2491,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2492,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2493,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 82.43/52.04 tff(2494,plain,
% 82.43/52.04 (v102(constB18) | v104(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2493, 320, 2478])).
% 82.43/52.04 tff(2495,plain,
% 82.43/52.04 (v102(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2494, 2490])).
% 82.43/52.04 tff(2496,plain,
% 82.43/52.04 (v1(constB18) <=> v1(constB18)),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2497,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 82.43/52.04 tff(2498,plain,
% 82.43/52.04 (v1(constB18)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 82.43/52.04 tff(2499,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2500,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2501,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 82.43/52.04 tff(2502,plain,
% 82.43/52.04 (v101(constB18) | (~v102(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2501, 338, 2478, 2498])).
% 82.43/52.04 tff(2503,plain,
% 82.43/52.04 (v101(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2502, 2495])).
% 82.43/52.04 tff(2504,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2505,plain,
% 82.43/52.04 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2506,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2505])).
% 82.43/52.04 tff(2507,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2506, 2504])).
% 82.43/52.04 tff(2508,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2509,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 82.43/52.04 tff(2510,plain,
% 82.43/52.04 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2509, 353, 2478])).
% 82.43/52.04 tff(2511,plain,
% 82.43/52.04 (v100(constB18) | (~v110(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2510, 2503])).
% 82.43/52.04 tff(2512,plain,
% 82.43/52.04 (v100(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2511, 2486])).
% 82.43/52.04 tff(2513,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2514,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2515,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 82.43/52.04 tff(2516,plain,
% 82.43/52.04 (~v130(constB17, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2515, 1052, 2433])).
% 82.43/52.04 tff(2517,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2518,plain,
% 82.43/52.04 ((v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2))) <=> ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2519,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2518])).
% 82.43/52.04 tff(2520,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2519, 2517])).
% 82.43/52.04 tff(2521,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2522,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 82.43/52.04 tff(2523,plain,
% 82.43/52.04 ((~v127(constB17, 2)) | v130(constB17, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2522, 556, 2463])).
% 82.43/52.04 tff(2524,plain,
% 82.43/52.04 (~v127(constB17, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2523, 2516])).
% 82.43/52.04 tff(2525,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2526,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2527,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 82.43/52.04 tff(2528,plain,
% 82.43/52.04 (v127(constB17, 2) | (~v129(constB18, 2))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2527, 574, 2478])).
% 82.43/52.04 tff(2529,plain,
% 82.43/52.04 (~v129(constB18, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2528, 2524])).
% 82.43/52.04 tff(2530,plain,
% 82.43/52.04 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2531,plain,
% 82.43/52.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2532,plain,
% 82.43/52.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 82.43/52.04 tff(2533,plain,
% 82.43/52.04 ((~v90(constB18, 2)) | (~v100(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2532, 589, 2529])).
% 82.43/52.04 tff(2534,plain,
% 82.43/52.04 (~v90(constB18, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2533, 2512])).
% 82.43/52.04 tff(2535,plain,
% 82.43/52.04 ((~v1(constB19)) <=> (~v1(constB19))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2536,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 82.43/52.04 tff(2537,plain,
% 82.43/52.04 (~v1(constB19)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2536, 2535])).
% 82.43/52.04 tff(2538,plain,
% 82.43/52.04 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2539,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 82.43/52.04 tff(2540,plain,
% 82.43/52.04 (nextState(constB18, constB19)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2539, 2538])).
% 82.43/52.04 tff(2541,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2542,plain,
% 82.43/52.04 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2543,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2542])).
% 82.43/52.04 tff(2544,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2543, 2541])).
% 82.43/52.04 tff(2545,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2546,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 82.43/52.04 tff(2547,plain,
% 82.43/52.04 (~v101(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2546, 66, 2540, 2537])).
% 82.43/52.04 tff(2548,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2549,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2550,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 82.43/52.04 tff(2551,plain,
% 82.43/52.04 (v101(constB19) | (~v100(constB19))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2550, 83, 2540])).
% 82.43/52.04 tff(2552,plain,
% 82.43/52.04 (~v100(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2551, 2547])).
% 82.43/52.04 tff(2553,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2554,plain,
% 82.43/52.04 (((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))) <=> (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2555,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2554])).
% 82.43/52.04 tff(2556,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2555, 2553])).
% 82.43/52.04 tff(2557,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2558,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 82.43/52.04 tff(2559,plain,
% 82.43/52.04 (v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2558, 98, 2540])).
% 82.43/52.04 tff(2560,plain,
% 82.43/52.04 (v90(constB18, 2) | (~v90(constB19, 2))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2559, 2552])).
% 82.43/52.04 tff(2561,plain,
% 82.43/52.04 (~v90(constB19, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2560, 2534])).
% 82.43/52.04 tff(2562,assumption,(~v122(constB19)), introduced(assumption)).
% 82.43/52.04 tff(2563,assumption,(v121(constB17)), introduced(assumption)).
% 82.43/52.04 tff(2564,plain,
% 82.43/52.04 (v117(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2436, 967, 2563])).
% 82.43/52.04 tff(2565,plain,
% 82.43/52.04 (v116(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2443, 200, 2564])).
% 82.43/52.04 tff(2566,plain,
% 82.43/52.04 (v115(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2450, 214, 2565])).
% 82.43/52.04 tff(2567,plain,
% 82.43/52.04 (v114(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2454, 228, 2566])).
% 82.43/52.04 tff(2568,plain,
% 82.43/52.04 (v113(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2458, 242, 2567])).
% 82.43/52.04 tff(2569,plain,
% 82.43/52.04 (v112(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2467, 2568])).
% 82.43/52.04 tff(2570,plain,
% 82.43/52.04 (v108(constB17)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2474, 268, 2569])).
% 82.43/52.04 tff(2571,plain,
% 82.43/52.04 (v110(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2485, 2570])).
% 82.43/52.04 tff(2572,plain,
% 82.43/52.04 (v100(constB18)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2511, 2571])).
% 82.43/52.04 tff(2573,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2574,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2575,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 82.43/52.04 tff(2576,plain,
% 82.43/52.04 (v130(constB17, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2575, 1146, 2563])).
% 82.43/52.04 tff(2577,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2578,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2579,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 82.43/52.04 tff(2580,plain,
% 82.43/52.04 ((~v130(constB17, 0)) | v127(constB17, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2579, 478, 2463])).
% 82.43/52.04 tff(2581,plain,
% 82.43/52.04 (v127(constB17, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2580, 2576])).
% 82.43/52.04 tff(2582,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2583,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2584,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 82.43/52.04 tff(2585,plain,
% 82.43/52.04 ((~v127(constB17, 0)) | v129(constB18, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2584, 493, 2478])).
% 82.43/52.04 tff(2586,plain,
% 82.43/52.04 (v129(constB18, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2585, 2581])).
% 82.43/52.04 tff(2587,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2588,plain,
% 82.43/52.04 ((v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0))) <=> (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2589,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2588])).
% 82.43/52.04 tff(2590,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2589, 2587])).
% 82.43/52.04 tff(2591,plain,
% 82.43/52.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2592,plain,
% 82.43/52.04 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 82.43/52.04 tff(2593,plain,
% 82.43/52.04 (v90(constB18, 0) | (~v100(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2592, 508, 2586])).
% 82.43/52.04 tff(2594,plain,
% 82.43/52.04 (v90(constB18, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2593, 2572])).
% 82.43/52.04 tff(2595,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2596,plain,
% 82.43/52.04 (((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)) <=> ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2597,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2596])).
% 82.43/52.04 tff(2598,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2597, 2595])).
% 82.43/52.04 tff(2599,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2600,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 82.43/52.04 tff(2601,plain,
% 82.43/52.04 ((~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2600, 526, 2540])).
% 82.43/52.04 tff(2602,plain,
% 82.43/52.04 ((~v90(constB18, 0)) | v90(constB19, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2601, 2552])).
% 82.43/52.04 tff(2603,plain,
% 82.43/52.04 (v90(constB19, 0)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2602, 2594])).
% 82.43/52.04 tff(2604,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2605,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2606,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 82.43/52.04 tff(2607,plain,
% 82.43/52.04 (v130(constB17, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2606, 1108, 2563])).
% 82.43/52.04 tff(2608,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2609,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2610,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 82.43/52.04 tff(2611,plain,
% 82.43/52.04 ((~v130(constB17, 1)) | v127(constB17, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2610, 818, 2463])).
% 82.43/52.04 tff(2612,plain,
% 82.43/52.04 (v127(constB17, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2611, 2607])).
% 82.43/52.04 tff(2613,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2614,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2615,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 82.43/52.04 tff(2616,plain,
% 82.43/52.04 ((~v127(constB17, 1)) | v129(constB18, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2615, 833, 2478])).
% 82.43/52.04 tff(2617,plain,
% 82.43/52.04 (v129(constB18, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2616, 2612])).
% 82.43/52.04 tff(2618,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2619,plain,
% 82.43/52.04 ((v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1))) <=> (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2620,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2619])).
% 82.43/52.04 tff(2621,plain,
% 82.43/52.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2620, 2618])).
% 82.43/52.04 tff(2622,plain,
% 82.43/52.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2623,plain,
% 82.43/52.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 82.43/52.04 tff(2624,plain,
% 82.43/52.04 (v90(constB18, 1) | (~v100(constB18))),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2623, 848, 2617])).
% 82.43/52.04 tff(2625,plain,
% 82.43/52.04 (v90(constB18, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2624, 2572])).
% 82.43/52.04 tff(2626,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2627,plain,
% 82.43/52.04 (((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)) <=> ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2628,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2627])).
% 82.43/52.04 tff(2629,plain,
% 82.43/52.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2628, 2626])).
% 82.43/52.04 tff(2630,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2631,plain,
% 82.43/52.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 82.43/52.04 tff(2632,plain,
% 82.43/52.04 ((~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2631, 866, 2540])).
% 82.43/52.04 tff(2633,plain,
% 82.43/52.04 ((~v90(constB18, 1)) | v90(constB19, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2632, 2552])).
% 82.43/52.04 tff(2634,plain,
% 82.43/52.04 (v90(constB19, 1)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2633, 2625])).
% 82.43/52.04 tff(2635,assumption,(~v90(constB19, 2)), introduced(assumption)).
% 82.43/52.04 tff(2636,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2637,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2638,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 82.43/52.04 tff(2639,plain,
% 82.43/52.04 ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v122(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2638, 1187, 2635])).
% 82.43/52.04 tff(2640,plain,
% 82.43/52.04 ($false),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2639, 2634, 2603, 2562])).
% 82.43/52.04 tff(2641,plain,((~v121(constB17)) | v122(constB19) | v90(constB19, 2)), inference(lemma,lemma(discharge,[]))).
% 82.43/52.04 tff(2642,plain,
% 82.43/52.04 (v122(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2641, 2561, 2433])).
% 82.43/52.04 tff(2643,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2644,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2645,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 82.43/52.04 tff(2646,plain,
% 82.43/52.04 (v130(constB19, 2)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2645, 1198, 2642])).
% 82.43/52.04 tff(2647,assumption,(v26(constB19)), introduced(assumption)).
% 82.43/52.04 tff(2648,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2649,plain,
% 82.43/52.04 ($false),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2648, 19, 2647])).
% 82.43/52.04 tff(2650,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 82.43/52.04 tff(2651,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2652,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2653,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19)),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 82.43/52.04 tff(2654,plain,
% 82.43/52.04 (v116(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2653, 1257, 2642])).
% 82.43/52.04 tff(2655,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2656,plain,
% 82.43/52.04 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2657,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2656])).
% 82.43/52.04 tff(2658,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2657, 2655])).
% 82.43/52.04 tff(2659,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2660,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 82.43/52.04 tff(2661,plain,
% 82.43/52.04 (v115(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2660, 214, 2654])).
% 82.43/52.04 tff(2662,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2663,plain,
% 82.43/52.04 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 82.43/52.04 inference(rewrite,[status(thm)],[])).
% 82.43/52.04 tff(2664,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 82.43/52.04 inference(monotonicity,[status(thm)],[2663])).
% 82.43/52.04 tff(2665,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 82.43/52.04 inference(transitivity,[status(thm)],[2664, 2662])).
% 82.43/52.04 tff(2666,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 82.43/52.04 inference(quant_inst,[status(thm)],[])).
% 82.43/52.04 tff(2667,plain,
% 82.43/52.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 82.43/52.04 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 82.43/52.04 tff(2668,plain,
% 82.43/52.04 (v114(constB19)),
% 82.43/52.04 inference(unit_resolution,[status(thm)],[2667, 228, 2661])).
% 82.43/52.04 tff(2669,plain,
% 82.43/52.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2670,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2671,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB19)) | v113(constB19)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 82.43/52.05 tff(2672,plain,
% 82.43/52.05 (v113(constB19)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2671, 242, 2668])).
% 82.43/52.05 tff(2673,assumption,(~v26(constB19)), introduced(assumption)).
% 82.43/52.05 tff(2674,assumption,(v113(constB19)), introduced(assumption)).
% 82.43/52.05 tff(2675,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2676,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2677,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 82.43/52.05 tff(2678,plain,
% 82.43/52.05 (v26(constB19) | v112(constB19)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2677, 256, 2674])).
% 82.43/52.05 tff(2679,plain,
% 82.43/52.05 (v112(constB19)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2678, 2673])).
% 82.43/52.05 tff(2680,assumption,(v130(constB19, 2)), introduced(assumption)).
% 82.43/52.05 tff(2681,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2682,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2683,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 82.43/52.05 tff(2684,plain,
% 82.43/52.05 (v26(constB19) | v127(constB19, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2683, 1212, 2680])).
% 82.43/52.05 tff(2685,plain,
% 82.43/52.05 (v127(constB19, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2684, 2673])).
% 82.43/52.05 tff(2686,plain,
% 82.43/52.05 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2687,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 82.43/52.05 tff(2688,plain,
% 82.43/52.05 (nextState(constB19, constB20)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 82.43/52.05 tff(2689,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2690,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2691,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 82.43/52.05 tff(2692,plain,
% 82.43/52.05 ((~v127(constB19, 2)) | v129(constB20, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2691, 1230, 2688])).
% 82.43/52.05 tff(2693,plain,
% 82.43/52.05 (v129(constB20, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2692, 2685])).
% 82.43/52.05 tff(2694,assumption,(~v90(constB20, 2)), introduced(assumption)).
% 82.43/52.05 tff(2695,plain,
% 82.43/52.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2696,plain,
% 82.43/52.05 ((v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2))) <=> (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2697,plain,
% 82.43/52.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2696])).
% 82.43/52.05 tff(2698,plain,
% 82.43/52.05 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2697, 2695])).
% 82.43/52.05 tff(2699,plain,
% 82.43/52.05 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2700,plain,
% 82.43/52.05 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 82.43/52.05 tff(2701,plain,
% 82.43/52.05 ((~v129(constB20, 2)) | (~v100(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2700, 1338, 2694])).
% 82.43/52.05 tff(2702,plain,
% 82.43/52.05 (~v100(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2701, 2693])).
% 82.43/52.05 tff(2703,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2704,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2705,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 82.43/52.05 tff(2706,plain,
% 82.43/52.05 (~v104(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2705, 306, 2688, 2537])).
% 82.43/52.05 tff(2707,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2708,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2709,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 82.43/52.05 tff(2710,plain,
% 82.43/52.05 (v102(constB20) | v104(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2709, 320, 2688])).
% 82.43/52.05 tff(2711,plain,
% 82.43/52.05 (v102(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2710, 2706])).
% 82.43/52.05 tff(2712,plain,
% 82.43/52.05 (v1(constB20) <=> v1(constB20)),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2713,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 82.43/52.05 tff(2714,plain,
% 82.43/52.05 (v1(constB20)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 82.43/52.05 tff(2715,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2716,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2717,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 82.43/52.05 tff(2718,plain,
% 82.43/52.05 (v101(constB20) | (~v102(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2717, 338, 2688, 2714])).
% 82.43/52.05 tff(2719,plain,
% 82.43/52.05 (v101(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2718, 2711])).
% 82.43/52.05 tff(2720,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2721,plain,
% 82.43/52.05 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2722,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2721])).
% 82.43/52.05 tff(2723,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2722, 2720])).
% 82.43/52.05 tff(2724,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2725,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 82.43/52.05 tff(2726,plain,
% 82.43/52.05 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2725, 353, 2688])).
% 82.43/52.05 tff(2727,plain,
% 82.43/52.05 (v100(constB20) | (~v110(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2726, 2719])).
% 82.43/52.05 tff(2728,plain,
% 82.43/52.05 (~v110(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2727, 2702])).
% 82.43/52.05 tff(2729,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2730,plain,
% 82.43/52.05 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2731,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2730])).
% 82.43/52.05 tff(2732,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2731, 2729])).
% 82.43/52.05 tff(2733,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2734,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2733, 2732])).
% 82.43/52.05 tff(2735,plain,
% 82.43/52.05 (v110(constB20) | (~v108(constB19))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2734, 288, 2688])).
% 82.43/52.05 tff(2736,plain,
% 82.43/52.05 (~v108(constB19)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2735, 2728])).
% 82.43/52.05 tff(2737,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2738,plain,
% 82.43/52.05 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2739,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2738])).
% 82.43/52.05 tff(2740,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2739, 2737])).
% 82.43/52.05 tff(2741,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2742,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2741, 2740])).
% 82.43/52.05 tff(2743,plain,
% 82.43/52.05 ($false),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2742, 268, 2736, 2679])).
% 82.43/52.05 tff(2744,plain,(v26(constB19) | v90(constB20, 2) | (~v113(constB19)) | (~v130(constB19, 2))), inference(lemma,lemma(discharge,[]))).
% 82.43/52.05 tff(2745,plain,
% 82.43/52.05 (v90(constB20, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2744, 2672, 2650, 2646])).
% 82.43/52.05 tff(2746,plain,
% 82.43/52.05 ((~v1(constB21)) <=> (~v1(constB21))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2747,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 82.43/52.05 tff(2748,plain,
% 82.43/52.05 (~v1(constB21)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 82.43/52.05 tff(2749,plain,
% 82.43/52.05 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2750,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 82.43/52.05 tff(2751,plain,
% 82.43/52.05 (nextState(constB20, constB21)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 82.43/52.05 tff(2752,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2753,plain,
% 82.43/52.05 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2754,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2753])).
% 82.43/52.05 tff(2755,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2754, 2752])).
% 82.43/52.05 tff(2756,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2757,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 82.43/52.05 tff(2758,plain,
% 82.43/52.05 (~v101(constB21)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2757, 66, 2751, 2748])).
% 82.43/52.05 tff(2759,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2760,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2761,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 82.43/52.05 tff(2762,plain,
% 82.43/52.05 (v101(constB21) | (~v100(constB21))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2761, 83, 2751])).
% 82.43/52.05 tff(2763,plain,
% 82.43/52.05 (~v100(constB21)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2762, 2758])).
% 82.43/52.05 tff(2764,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2765,plain,
% 82.43/52.05 (((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)) <=> ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2766,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2765])).
% 82.43/52.05 tff(2767,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2766, 2764])).
% 82.43/52.05 tff(2768,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2769,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 82.43/52.05 tff(2770,plain,
% 82.43/52.05 ((~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2769, 1374, 2751])).
% 82.43/52.05 tff(2771,plain,
% 82.43/52.05 ((~v90(constB20, 2)) | v90(constB21, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2770, 2763])).
% 82.43/52.05 tff(2772,plain,
% 82.43/52.05 (v90(constB21, 2)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2771, 2745])).
% 82.43/52.05 tff(2773,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2774,plain,
% 82.43/52.05 (((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2))) <=> (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2775,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2774])).
% 82.43/52.05 tff(2776,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2775, 2773])).
% 82.43/52.05 tff(2777,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2778,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 82.43/52.05 tff(2779,plain,
% 82.43/52.05 (v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2778, 98, 2688])).
% 82.43/52.05 tff(2780,plain,
% 82.43/52.05 (v100(constB20)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2779, 2745, 2561])).
% 82.43/52.05 tff(2781,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2782,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2783,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 82.43/52.05 tff(2784,plain,
% 82.43/52.05 (~v130(constB19, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2783, 1390, 2642])).
% 82.43/52.05 tff(2785,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2786,plain,
% 82.43/52.05 ((v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1))) <=> ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2787,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2786])).
% 82.43/52.05 tff(2788,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2787, 2785])).
% 82.43/52.05 tff(2789,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2790,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2789, 2788])).
% 82.43/52.05 tff(2791,plain,
% 82.43/52.05 ((~v127(constB19, 1)) | v130(constB19, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2790, 383, 2650])).
% 82.43/52.05 tff(2792,plain,
% 82.43/52.05 (~v127(constB19, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2791, 2784])).
% 82.43/52.05 tff(2793,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2794,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2795,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 82.43/52.05 tff(2796,plain,
% 82.43/52.05 (v127(constB19, 1) | (~v129(constB20, 1))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2795, 401, 2688])).
% 82.43/52.05 tff(2797,plain,
% 82.43/52.05 (~v129(constB20, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2796, 2792])).
% 82.43/52.05 tff(2798,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2799,plain,
% 82.43/52.05 (((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1)) <=> ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2800,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2799])).
% 82.43/52.05 tff(2801,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2800, 2798])).
% 82.43/52.05 tff(2802,plain,
% 82.43/52.05 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2803,plain,
% 82.43/52.05 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 82.43/52.05 tff(2804,plain,
% 82.43/52.05 ((~v90(constB20, 1)) | (~v100(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2803, 416, 2797])).
% 82.43/52.05 tff(2805,plain,
% 82.43/52.05 (~v90(constB20, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2804, 2780])).
% 82.43/52.05 tff(2806,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2807,plain,
% 82.43/52.05 (((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))) <=> (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2808,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2807])).
% 82.43/52.05 tff(2809,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2808, 2806])).
% 82.43/52.05 tff(2810,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2811,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 82.43/52.05 tff(2812,plain,
% 82.43/52.05 (v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2811, 119, 2751])).
% 82.43/52.05 tff(2813,plain,
% 82.43/52.05 (v90(constB20, 1) | (~v90(constB21, 1))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2812, 2763])).
% 82.43/52.05 tff(2814,plain,
% 82.43/52.05 (~v90(constB21, 1)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2813, 2805])).
% 82.43/52.05 tff(2815,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2816,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2817,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 82.43/52.05 tff(2818,plain,
% 82.43/52.05 (~v130(constB19, 0)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2817, 1431, 2642])).
% 82.43/52.05 tff(2819,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2820,plain,
% 82.43/52.05 ((v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0))) <=> ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2821,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2820])).
% 82.43/52.05 tff(2822,plain,
% 82.43/52.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2821, 2819])).
% 82.43/52.05 tff(2823,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2824,plain,
% 82.43/52.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 82.43/52.05 tff(2825,plain,
% 82.43/52.05 ((~v127(constB19, 0)) | v130(constB19, 0)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2824, 896, 2650])).
% 82.43/52.05 tff(2826,plain,
% 82.43/52.05 (~v127(constB19, 0)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2825, 2818])).
% 82.43/52.05 tff(2827,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2828,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2829,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 82.43/52.05 tff(2830,plain,
% 82.43/52.05 (v127(constB19, 0) | (~v129(constB20, 0))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2829, 914, 2688])).
% 82.43/52.05 tff(2831,plain,
% 82.43/52.05 (~v129(constB20, 0)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2830, 2826])).
% 82.43/52.05 tff(2832,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2833,plain,
% 82.43/52.05 (((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0)) <=> ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2834,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2833])).
% 82.43/52.05 tff(2835,plain,
% 82.43/52.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2834, 2832])).
% 82.43/52.05 tff(2836,plain,
% 82.43/52.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2837,plain,
% 82.43/52.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))),
% 82.43/52.05 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 82.43/52.05 tff(2838,plain,
% 82.43/52.05 ((~v90(constB20, 0)) | (~v100(constB20))),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2837, 929, 2831])).
% 82.43/52.05 tff(2839,plain,
% 82.43/52.05 (~v90(constB20, 0)),
% 82.43/52.05 inference(unit_resolution,[status(thm)],[2838, 2780])).
% 82.43/52.05 tff(2840,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2841,plain,
% 82.43/52.05 (((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))) <=> (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 82.43/52.05 inference(rewrite,[status(thm)],[])).
% 82.43/52.05 tff(2842,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))))),
% 82.43/52.05 inference(monotonicity,[status(thm)],[2841])).
% 82.43/52.05 tff(2843,plain,
% 82.43/52.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 82.43/52.05 inference(transitivity,[status(thm)],[2842, 2840])).
% 82.43/52.05 tff(2844,plain,
% 82.43/52.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))),
% 82.43/52.05 inference(quant_inst,[status(thm)],[])).
% 82.43/52.05 tff(2845,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 82.43/52.06 tff(2846,plain,
% 82.43/52.06 (v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2845, 140, 2751])).
% 82.43/52.06 tff(2847,plain,
% 82.43/52.06 (v90(constB20, 0) | (~v90(constB21, 0))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2846, 2763])).
% 82.43/52.06 tff(2848,plain,
% 82.43/52.06 (~v90(constB21, 0)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2847, 2839])).
% 82.43/52.06 tff(2849,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2850,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2851,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 82.43/52.06 tff(2852,plain,
% 82.43/52.06 (v123(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2851, 1475, 2848, 2814, 2772])).
% 82.43/52.06 tff(2853,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB21)) | v115(constB21))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2854,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2855,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB21)) | v115(constB21)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 82.43/52.06 tff(2856,plain,
% 82.43/52.06 (v115(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2855, 1486, 2852])).
% 82.43/52.06 tff(2857,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2858,plain,
% 82.43/52.06 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2859,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2858])).
% 82.43/52.06 tff(2860,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2859, 2857])).
% 82.43/52.06 tff(2861,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2862,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 82.43/52.06 tff(2863,plain,
% 82.43/52.06 (v114(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2862, 228, 2856])).
% 82.43/52.06 tff(2864,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2865,plain,
% 82.43/52.06 (((~v114(constB21)) | v113(constB21)) <=> (v113(constB21) | (~v114(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2866,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2865])).
% 82.43/52.06 tff(2867,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2866, 2864])).
% 82.43/52.06 tff(2868,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2869,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 82.43/52.06 tff(2870,plain,
% 82.43/52.06 (v113(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2869, 242, 2863])).
% 82.43/52.06 tff(2871,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2872,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2873,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2872, 2871])).
% 82.43/52.06 tff(2874,plain,
% 82.43/52.06 (v26(constB21) | v112(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2873, 256, 2870])).
% 82.43/52.06 tff(2875,plain,
% 82.43/52.06 (v112(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2874, 30])).
% 82.43/52.06 tff(2876,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2877,plain,
% 82.43/52.06 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2878,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2877])).
% 82.43/52.06 tff(2879,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2878, 2876])).
% 82.43/52.06 tff(2880,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2881,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 82.43/52.06 tff(2882,plain,
% 82.43/52.06 (v108(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2881, 268, 2875])).
% 82.43/52.06 tff(2883,plain,
% 82.43/52.06 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2884,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 82.43/52.06 tff(2885,plain,
% 82.43/52.06 (nextState(constB21, constB22)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2884, 2883])).
% 82.43/52.06 tff(2886,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2887,plain,
% 82.43/52.06 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2888,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2887])).
% 82.43/52.06 tff(2889,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2888, 2886])).
% 82.43/52.06 tff(2890,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2891,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 82.43/52.06 tff(2892,plain,
% 82.43/52.06 (v110(constB22) | (~v108(constB21))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2891, 288, 2885])).
% 82.43/52.06 tff(2893,plain,
% 82.43/52.06 (v110(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2892, 2882])).
% 82.43/52.06 tff(2894,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2895,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2896,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 82.43/52.06 tff(2897,plain,
% 82.43/52.06 (~v104(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2896, 306, 2885, 2748])).
% 82.43/52.06 tff(2898,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2899,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2900,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 82.43/52.06 tff(2901,plain,
% 82.43/52.06 (v102(constB22) | v104(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2900, 320, 2885])).
% 82.43/52.06 tff(2902,plain,
% 82.43/52.06 (v102(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2901, 2897])).
% 82.43/52.06 tff(2903,plain,
% 82.43/52.06 (v1(constB22) <=> v1(constB22)),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2904,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 82.43/52.06 tff(2905,plain,
% 82.43/52.06 (v1(constB22)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 82.43/52.06 tff(2906,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2907,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2908,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 82.43/52.06 tff(2909,plain,
% 82.43/52.06 (v101(constB22) | (~v102(constB22))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2908, 338, 2885, 2905])).
% 82.43/52.06 tff(2910,plain,
% 82.43/52.06 (v101(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2909, 2902])).
% 82.43/52.06 tff(2911,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2912,plain,
% 82.43/52.06 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2913,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2912])).
% 82.43/52.06 tff(2914,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2913, 2911])).
% 82.43/52.06 tff(2915,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2916,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2915, 2914])).
% 82.43/52.06 tff(2917,plain,
% 82.43/52.06 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2916, 353, 2885])).
% 82.43/52.06 tff(2918,plain,
% 82.43/52.06 (v100(constB22) | (~v110(constB22))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2917, 2910])).
% 82.43/52.06 tff(2919,plain,
% 82.43/52.06 (v100(constB22)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2918, 2893])).
% 82.43/52.06 tff(2920,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2921,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2922,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 82.43/52.06 tff(2923,plain,
% 82.43/52.06 (v130(constB21, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2922, 1567, 2852])).
% 82.43/52.06 tff(2924,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2925,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2926,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 82.43/52.06 tff(2927,plain,
% 82.43/52.06 (v26(constB21) | v127(constB21, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2926, 1212, 2923])).
% 82.43/52.06 tff(2928,plain,
% 82.43/52.06 (v127(constB21, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2927, 30])).
% 82.43/52.06 tff(2929,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2930,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2931,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 82.43/52.06 tff(2932,plain,
% 82.43/52.06 ((~v127(constB21, 2)) | v129(constB22, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2931, 1230, 2885])).
% 82.43/52.06 tff(2933,plain,
% 82.43/52.06 (v129(constB22, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2932, 2928])).
% 82.43/52.06 tff(2934,plain,
% 82.43/52.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2935,plain,
% 82.43/52.06 ((v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2))) <=> (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2936,plain,
% 82.43/52.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2935])).
% 82.43/52.06 tff(2937,plain,
% 82.43/52.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2936, 2934])).
% 82.43/52.06 tff(2938,plain,
% 82.43/52.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2939,plain,
% 82.43/52.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2938, 2937])).
% 82.43/52.06 tff(2940,plain,
% 82.43/52.06 (v90(constB22, 2) | (~v100(constB22))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2939, 1338, 2933])).
% 82.43/52.06 tff(2941,plain,
% 82.43/52.06 (v90(constB22, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2940, 2919])).
% 82.43/52.06 tff(2942,plain,
% 82.43/52.06 ((~v1(constB23)) <=> (~v1(constB23))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2943,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 82.43/52.06 tff(2944,plain,
% 82.43/52.06 (~v1(constB23)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 82.43/52.06 tff(2945,plain,
% 82.43/52.06 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2946,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 82.43/52.06 tff(2947,plain,
% 82.43/52.06 (nextState(constB22, constB23)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 82.43/52.06 tff(2948,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2949,plain,
% 82.43/52.06 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2950,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2949])).
% 82.43/52.06 tff(2951,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2950, 2948])).
% 82.43/52.06 tff(2952,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2953,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 82.43/52.06 tff(2954,plain,
% 82.43/52.06 (~v101(constB23)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2953, 66, 2947, 2944])).
% 82.43/52.06 tff(2955,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2956,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2957,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 82.43/52.06 tff(2958,plain,
% 82.43/52.06 (v101(constB23) | (~v100(constB23))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2957, 83, 2947])).
% 82.43/52.06 tff(2959,plain,
% 82.43/52.06 (~v100(constB23)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2958, 2954])).
% 82.43/52.06 tff(2960,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2961,plain,
% 82.43/52.06 (((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)) <=> ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2962,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2961])).
% 82.43/52.06 tff(2963,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2962, 2960])).
% 82.43/52.06 tff(2964,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2965,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 82.43/52.06 tff(2966,plain,
% 82.43/52.06 ((~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2965, 1374, 2947])).
% 82.43/52.06 tff(2967,plain,
% 82.43/52.06 ((~v90(constB22, 2)) | v90(constB23, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2966, 2959])).
% 82.43/52.06 tff(2968,plain,
% 82.43/52.06 (v90(constB23, 2)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2967, 2941])).
% 82.43/52.06 tff(2969,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2970,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2971,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2970, 2969])).
% 82.43/52.06 tff(2972,plain,
% 82.43/52.06 (~v130(constB21, 1)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2971, 1623, 2852])).
% 82.43/52.06 tff(2973,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2974,plain,
% 82.43/52.06 ((v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1))) <=> ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2975,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2974])).
% 82.43/52.06 tff(2976,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2975, 2973])).
% 82.43/52.06 tff(2977,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2978,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 82.43/52.06 tff(2979,plain,
% 82.43/52.06 ((~v127(constB21, 1)) | v26(constB21)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2978, 383, 2972])).
% 82.43/52.06 tff(2980,plain,
% 82.43/52.06 (~v127(constB21, 1)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2979, 30])).
% 82.43/52.06 tff(2981,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2982,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2983,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 82.43/52.06 tff(2984,plain,
% 82.43/52.06 (v127(constB21, 1) | (~v129(constB22, 1))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2983, 401, 2885])).
% 82.43/52.06 tff(2985,plain,
% 82.43/52.06 (~v129(constB22, 1)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2984, 2980])).
% 82.43/52.06 tff(2986,plain,
% 82.43/52.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2987,plain,
% 82.43/52.06 (((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1)) <=> ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2988,plain,
% 82.43/52.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2987])).
% 82.43/52.06 tff(2989,plain,
% 82.43/52.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2988, 2986])).
% 82.43/52.06 tff(2990,plain,
% 82.43/52.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2991,plain,
% 82.43/52.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 82.43/52.06 tff(2992,plain,
% 82.43/52.06 ((~v90(constB22, 1)) | (~v100(constB22))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2991, 416, 2985])).
% 82.43/52.06 tff(2993,plain,
% 82.43/52.06 (~v90(constB22, 1)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2992, 2919])).
% 82.43/52.06 tff(2994,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2995,plain,
% 82.43/52.06 (((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))) <=> (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(2996,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))))),
% 82.43/52.06 inference(monotonicity,[status(thm)],[2995])).
% 82.43/52.06 tff(2997,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 82.43/52.06 inference(transitivity,[status(thm)],[2996, 2994])).
% 82.43/52.06 tff(2998,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(2999,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 82.43/52.06 tff(3000,plain,
% 82.43/52.06 (v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[2999, 119, 2947])).
% 82.43/52.06 tff(3001,plain,
% 82.43/52.06 (v90(constB22, 1) | (~v90(constB23, 1))),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3000, 2959])).
% 82.43/52.06 tff(3002,plain,
% 82.43/52.06 (~v90(constB23, 1)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3001, 2993])).
% 82.43/52.06 tff(3003,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(3004,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(3005,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 82.43/52.06 tff(3006,plain,
% 82.43/52.06 (v130(constB21, 0)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3005, 1664, 2852])).
% 82.43/52.06 tff(3007,plain,
% 82.43/52.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(3008,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(3009,plain,
% 82.43/52.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 82.43/52.06 tff(3010,plain,
% 82.43/52.06 (v26(constB21) | v127(constB21, 0)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3009, 478, 3006])).
% 82.43/52.06 tff(3011,plain,
% 82.43/52.06 (v127(constB21, 0)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3010, 30])).
% 82.43/52.06 tff(3012,plain,
% 82.43/52.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 82.43/52.06 inference(rewrite,[status(thm)],[])).
% 82.43/52.06 tff(3013,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 82.43/52.06 inference(quant_inst,[status(thm)],[])).
% 82.43/52.06 tff(3014,plain,
% 82.43/52.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0)),
% 82.43/52.06 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 82.43/52.06 tff(3015,plain,
% 82.43/52.06 ((~v127(constB21, 0)) | v129(constB22, 0)),
% 82.43/52.06 inference(unit_resolution,[status(thm)],[3014, 493, 2885])).
% 82.43/52.07 tff(3016,plain,
% 82.43/52.07 (v129(constB22, 0)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3015, 3011])).
% 82.43/52.07 tff(3017,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3018,plain,
% 82.43/52.07 ((v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0))) <=> (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3019,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3018])).
% 82.43/52.07 tff(3020,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3019, 3017])).
% 82.43/52.07 tff(3021,plain,
% 82.43/52.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3022,plain,
% 82.43/52.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 82.43/52.07 tff(3023,plain,
% 82.43/52.07 (v90(constB22, 0) | (~v100(constB22))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3022, 508, 3016])).
% 82.43/52.07 tff(3024,plain,
% 82.43/52.07 (v90(constB22, 0)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3023, 2919])).
% 82.43/52.07 tff(3025,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3026,plain,
% 82.43/52.07 (((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)) <=> ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3027,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3026])).
% 82.43/52.07 tff(3028,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3027, 3025])).
% 82.43/52.07 tff(3029,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3030,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 82.43/52.07 tff(3031,plain,
% 82.43/52.07 ((~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3030, 526, 2947])).
% 82.43/52.07 tff(3032,plain,
% 82.43/52.07 ((~v90(constB22, 0)) | v90(constB23, 0)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3031, 2959])).
% 82.43/52.07 tff(3033,plain,
% 82.43/52.07 (v90(constB23, 0)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3032, 3024])).
% 82.43/52.07 tff(3034,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3035,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3036,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 82.43/52.07 tff(3037,plain,
% 82.43/52.07 (v124(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3036, 1705, 3033, 3002, 2968])).
% 82.43/52.07 tff(3038,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v124(constB23)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3039,plain,
% 82.43/52.07 (((~v124(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v124(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3040,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v124(constB23))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3039])).
% 82.43/52.07 tff(3041,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3040, 3038])).
% 82.43/52.07 tff(3042,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3043,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v124(constB23))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 82.43/52.07 tff(3044,plain,
% 82.43/52.07 (v114(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3043, 1741, 3037])).
% 82.43/52.07 tff(3045,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3046,plain,
% 82.43/52.07 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3047,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3046])).
% 82.43/52.07 tff(3048,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3047, 3045])).
% 82.43/52.07 tff(3049,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3050,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 82.43/52.07 tff(3051,plain,
% 82.43/52.07 (v113(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3050, 242, 3044])).
% 82.43/52.07 tff(3052,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3053,plain,
% 82.43/52.07 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3054,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3053])).
% 82.43/52.07 tff(3055,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3054, 3052])).
% 82.43/52.07 tff(3056,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3057,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 82.43/52.07 tff(3058,plain,
% 82.43/52.07 (v26(constB23) | v112(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3057, 256, 3051])).
% 82.43/52.07 tff(3059,plain,
% 82.43/52.07 (v112(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3058, 26])).
% 82.43/52.07 tff(3060,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3061,plain,
% 82.43/52.07 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3062,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3061])).
% 82.43/52.07 tff(3063,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3062, 3060])).
% 82.43/52.07 tff(3064,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3065,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 82.43/52.07 tff(3066,plain,
% 82.43/52.07 (v108(constB23)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3065, 268, 3059])).
% 82.43/52.07 tff(3067,plain,
% 82.43/52.07 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3068,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 82.43/52.07 tff(3069,plain,
% 82.43/52.07 (nextState(constB23, constB24)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 82.43/52.07 tff(3070,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3071,plain,
% 82.43/52.07 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3072,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3071])).
% 82.43/52.07 tff(3073,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3072, 3070])).
% 82.43/52.07 tff(3074,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3075,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 82.43/52.07 tff(3076,plain,
% 82.43/52.07 (v110(constB24) | (~v108(constB23))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3075, 288, 3069])).
% 82.43/52.07 tff(3077,plain,
% 82.43/52.07 (v110(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3076, 3066])).
% 82.43/52.07 tff(3078,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3079,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3080,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 82.43/52.07 tff(3081,plain,
% 82.43/52.07 (~v104(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3080, 306, 3069, 2944])).
% 82.43/52.07 tff(3082,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3083,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3084,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3083, 3082])).
% 82.43/52.07 tff(3085,plain,
% 82.43/52.07 (v102(constB24) | v104(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3084, 320, 3069])).
% 82.43/52.07 tff(3086,plain,
% 82.43/52.07 (v102(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3085, 3081])).
% 82.43/52.07 tff(3087,plain,
% 82.43/52.07 (v1(constB24) <=> v1(constB24)),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3088,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 82.43/52.07 tff(3089,plain,
% 82.43/52.07 (v1(constB24)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3088, 3087])).
% 82.43/52.07 tff(3090,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3091,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3092,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 82.43/52.07 tff(3093,plain,
% 82.43/52.07 (v101(constB24) | (~v102(constB24))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3092, 338, 3069, 3089])).
% 82.43/52.07 tff(3094,plain,
% 82.43/52.07 (v101(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3093, 3086])).
% 82.43/52.07 tff(3095,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3096,plain,
% 82.43/52.07 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3097,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3096])).
% 82.43/52.07 tff(3098,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3097, 3095])).
% 82.43/52.07 tff(3099,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3100,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 82.43/52.07 tff(3101,plain,
% 82.43/52.07 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3100, 353, 3069])).
% 82.43/52.07 tff(3102,plain,
% 82.43/52.07 (v100(constB24) | (~v110(constB24))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3101, 3094])).
% 82.43/52.07 tff(3103,plain,
% 82.43/52.07 (v100(constB24)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3102, 3077])).
% 82.43/52.07 tff(3104,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3105,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3106,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 82.43/52.07 tff(3107,plain,
% 82.43/52.07 (v130(constB23, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3106, 1716, 3037])).
% 82.43/52.07 tff(3108,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3109,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3110,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 82.43/52.07 tff(3111,plain,
% 82.43/52.07 (v26(constB23) | v127(constB23, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3110, 1212, 3107])).
% 82.43/52.07 tff(3112,plain,
% 82.43/52.07 (v127(constB23, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3111, 26])).
% 82.43/52.07 tff(3113,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3114,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3115,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 82.43/52.07 tff(3116,plain,
% 82.43/52.07 ((~v127(constB23, 2)) | v129(constB24, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3115, 1230, 3069])).
% 82.43/52.07 tff(3117,plain,
% 82.43/52.07 (v129(constB24, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3116, 3112])).
% 82.43/52.07 tff(3118,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3119,plain,
% 82.43/52.07 ((v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2))) <=> (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3120,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3119])).
% 82.43/52.07 tff(3121,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3120, 3118])).
% 82.43/52.07 tff(3122,plain,
% 82.43/52.07 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3123,plain,
% 82.43/52.07 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 82.43/52.07 tff(3124,plain,
% 82.43/52.07 (v90(constB24, 2) | (~v100(constB24))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3123, 1338, 3117])).
% 82.43/52.07 tff(3125,plain,
% 82.43/52.07 (v90(constB24, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3124, 3103])).
% 82.43/52.07 tff(3126,plain,
% 82.43/52.07 ((~v1(constB25)) <=> (~v1(constB25))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3127,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 82.43/52.07 tff(3128,plain,
% 82.43/52.07 (~v1(constB25)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 82.43/52.07 tff(3129,plain,
% 82.43/52.07 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3130,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 82.43/52.07 tff(3131,plain,
% 82.43/52.07 (nextState(constB24, constB25)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 82.43/52.07 tff(3132,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3133,plain,
% 82.43/52.07 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3134,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3133])).
% 82.43/52.07 tff(3135,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3134, 3132])).
% 82.43/52.07 tff(3136,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3137,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 82.43/52.07 tff(3138,plain,
% 82.43/52.07 (~v101(constB25)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3137, 66, 3131, 3128])).
% 82.43/52.07 tff(3139,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3140,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3141,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 82.43/52.07 tff(3142,plain,
% 82.43/52.07 (v101(constB25) | (~v100(constB25))),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3141, 83, 3131])).
% 82.43/52.07 tff(3143,plain,
% 82.43/52.07 (~v100(constB25)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3142, 3138])).
% 82.43/52.07 tff(3144,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3145,plain,
% 82.43/52.07 (((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)) <=> ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3146,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)))),
% 82.43/52.07 inference(monotonicity,[status(thm)],[3145])).
% 82.43/52.07 tff(3147,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 82.43/52.07 inference(transitivity,[status(thm)],[3146, 3144])).
% 82.43/52.07 tff(3148,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3149,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 82.43/52.07 tff(3150,plain,
% 82.43/52.07 ((~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3149, 1374, 3131])).
% 82.43/52.07 tff(3151,plain,
% 82.43/52.07 ((~v90(constB24, 2)) | v90(constB25, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3150, 3143])).
% 82.43/52.07 tff(3152,plain,
% 82.43/52.07 (v90(constB25, 2)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3151, 3125])).
% 82.43/52.07 tff(3153,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3154,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3155,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 82.43/52.07 tff(3156,plain,
% 82.43/52.07 (v130(constB23, 1)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3155, 1767, 3037])).
% 82.43/52.07 tff(3157,plain,
% 82.43/52.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3158,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3159,plain,
% 82.43/52.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3158, 3157])).
% 82.43/52.07 tff(3160,plain,
% 82.43/52.07 (v26(constB23) | v127(constB23, 1)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3159, 818, 3156])).
% 82.43/52.07 tff(3161,plain,
% 82.43/52.07 (v127(constB23, 1)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3160, 26])).
% 82.43/52.07 tff(3162,plain,
% 82.43/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 82.43/52.07 inference(rewrite,[status(thm)],[])).
% 82.43/52.07 tff(3163,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 82.43/52.07 inference(quant_inst,[status(thm)],[])).
% 82.43/52.07 tff(3164,plain,
% 82.43/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1)),
% 82.43/52.07 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 82.43/52.07 tff(3165,plain,
% 82.43/52.07 ((~v127(constB23, 1)) | v129(constB24, 1)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3164, 833, 3069])).
% 82.43/52.07 tff(3166,plain,
% 82.43/52.07 (v129(constB24, 1)),
% 82.43/52.07 inference(unit_resolution,[status(thm)],[3165, 3161])).
% 82.43/52.07 tff(3167,plain,
% 82.43/52.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 82.51/52.07 inference(rewrite,[status(thm)],[])).
% 82.51/52.07 tff(3168,plain,
% 82.51/52.07 ((v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1))) <=> (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 82.51/52.07 inference(rewrite,[status(thm)],[])).
% 82.51/52.07 tff(3169,plain,
% 82.51/52.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))))),
% 82.51/52.07 inference(monotonicity,[status(thm)],[3168])).
% 82.51/52.07 tff(3170,plain,
% 82.51/52.07 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 82.51/52.07 inference(transitivity,[status(thm)],[3169, 3167])).
% 82.51/52.07 tff(3171,plain,
% 82.51/52.07 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))),
% 82.51/52.07 inference(quant_inst,[status(thm)],[])).
% 82.51/52.07 tff(3172,plain,
% 82.51/52.07 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))),
% 82.51/52.07 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 82.51/52.07 tff(3173,plain,
% 82.51/52.07 (v90(constB24, 1) | (~v100(constB24))),
% 82.51/52.07 inference(unit_resolution,[status(thm)],[3172, 848, 3166])).
% 82.51/52.07 tff(3174,plain,
% 82.51/52.07 (v90(constB24, 1)),
% 82.51/52.07 inference(unit_resolution,[status(thm)],[3173, 3103])).
% 82.51/52.07 tff(3175,plain,
% 82.51/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 82.51/52.07 inference(rewrite,[status(thm)],[])).
% 82.51/52.07 tff(3176,plain,
% 82.51/52.07 (((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)) <=> ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 82.51/52.07 inference(rewrite,[status(thm)],[])).
% 82.51/52.07 tff(3177,plain,
% 82.51/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)))),
% 82.51/52.07 inference(monotonicity,[status(thm)],[3176])).
% 82.51/52.07 tff(3178,plain,
% 82.51/52.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 82.51/52.07 inference(transitivity,[status(thm)],[3177, 3175])).
% 82.51/52.07 tff(3179,plain,
% 82.51/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))),
% 82.51/52.07 inference(quant_inst,[status(thm)],[])).
% 82.51/52.07 tff(3180,plain,
% 82.51/52.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 82.51/52.08 tff(3181,plain,
% 82.51/52.08 ((~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3180, 866, 3131])).
% 82.51/52.08 tff(3182,plain,
% 82.51/52.08 ((~v90(constB24, 1)) | v90(constB25, 1)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3181, 3143])).
% 82.51/52.08 tff(3183,plain,
% 82.51/52.08 (v90(constB25, 1)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3182, 3174])).
% 82.51/52.08 tff(3184,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3185,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3186,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 82.51/52.08 tff(3187,plain,
% 82.51/52.08 (~v130(constB23, 0)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3186, 1882, 3037])).
% 82.51/52.08 tff(3188,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3189,plain,
% 82.51/52.08 ((v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0))) <=> ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3190,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3189])).
% 82.51/52.08 tff(3191,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3190, 3188])).
% 82.51/52.08 tff(3192,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3193,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 82.51/52.08 tff(3194,plain,
% 82.51/52.08 ((~v127(constB23, 0)) | v26(constB23)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3193, 896, 3187])).
% 82.51/52.08 tff(3195,plain,
% 82.51/52.08 (~v127(constB23, 0)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3194, 26])).
% 82.51/52.08 tff(3196,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3197,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3198,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 82.51/52.08 tff(3199,plain,
% 82.51/52.08 (v127(constB23, 0) | (~v129(constB24, 0))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3198, 914, 3069])).
% 82.51/52.08 tff(3200,plain,
% 82.51/52.08 (~v129(constB24, 0)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3199, 3195])).
% 82.51/52.08 tff(3201,plain,
% 82.51/52.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3202,plain,
% 82.51/52.08 (((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0)) <=> ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3203,plain,
% 82.51/52.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3202])).
% 82.51/52.08 tff(3204,plain,
% 82.51/52.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3203, 3201])).
% 82.51/52.08 tff(3205,plain,
% 82.51/52.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3206,plain,
% 82.51/52.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 82.51/52.08 tff(3207,plain,
% 82.51/52.08 ((~v90(constB24, 0)) | (~v100(constB24))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3206, 929, 3200])).
% 82.51/52.08 tff(3208,plain,
% 82.51/52.08 (~v90(constB24, 0)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3207, 3103])).
% 82.51/52.08 tff(3209,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3210,plain,
% 82.51/52.08 (((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))) <=> (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3211,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3210])).
% 82.51/52.08 tff(3212,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3211, 3209])).
% 82.51/52.08 tff(3213,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3214,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 82.51/52.08 tff(3215,plain,
% 82.51/52.08 (v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3214, 140, 3131])).
% 82.51/52.08 tff(3216,plain,
% 82.51/52.08 (v90(constB24, 0) | (~v90(constB25, 0))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3215, 3143])).
% 82.51/52.08 tff(3217,plain,
% 82.51/52.08 (~v90(constB25, 0)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3216, 3208])).
% 82.51/52.08 tff(3218,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3219,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3220,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 82.51/52.08 tff(3221,plain,
% 82.51/52.08 (v125(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3220, 1934, 3217, 3183, 3152])).
% 82.51/52.08 tff(3222,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3223,plain,
% 82.51/52.08 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3224,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3223])).
% 82.51/52.08 tff(3225,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3224, 3222])).
% 82.51/52.08 tff(3226,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3227,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 82.51/52.08 tff(3228,plain,
% 82.51/52.08 (v113(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3227, 1946, 3221])).
% 82.51/52.08 tff(3229,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3230,plain,
% 82.51/52.08 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3231,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3230])).
% 82.51/52.08 tff(3232,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3231, 3229])).
% 82.51/52.08 tff(3233,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3234,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3233, 3232])).
% 82.51/52.08 tff(3235,plain,
% 82.51/52.08 (v26(constB25) | v112(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3234, 256, 3228])).
% 82.51/52.08 tff(3236,plain,
% 82.51/52.08 (v112(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3235, 22])).
% 82.51/52.08 tff(3237,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3238,plain,
% 82.51/52.08 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3239,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3238])).
% 82.51/52.08 tff(3240,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3239, 3237])).
% 82.51/52.08 tff(3241,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3242,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 82.51/52.08 tff(3243,plain,
% 82.51/52.08 (v108(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3242, 268, 3236])).
% 82.51/52.08 tff(3244,plain,
% 82.51/52.08 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3245,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 82.51/52.08 tff(3246,plain,
% 82.51/52.08 (nextState(constB25, constB26)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3245, 3244])).
% 82.51/52.08 tff(3247,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3248,plain,
% 82.51/52.08 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3249,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3248])).
% 82.51/52.08 tff(3250,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3249, 3247])).
% 82.51/52.08 tff(3251,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3252,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 82.51/52.08 tff(3253,plain,
% 82.51/52.08 (v110(constB26) | (~v108(constB25))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3252, 288, 3246])).
% 82.51/52.08 tff(3254,plain,
% 82.51/52.08 (v110(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3253, 3243])).
% 82.51/52.08 tff(3255,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3256,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3257,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 82.51/52.08 tff(3258,plain,
% 82.51/52.08 (~v104(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3257, 306, 3246, 3128])).
% 82.51/52.08 tff(3259,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3260,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3261,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 82.51/52.08 tff(3262,plain,
% 82.51/52.08 (v102(constB26) | v104(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3261, 320, 3246])).
% 82.51/52.08 tff(3263,plain,
% 82.51/52.08 (v102(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3262, 3258])).
% 82.51/52.08 tff(3264,plain,
% 82.51/52.08 (v1(constB26) <=> v1(constB26)),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3265,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 82.51/52.08 tff(3266,plain,
% 82.51/52.08 (v1(constB26)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 82.51/52.08 tff(3267,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3268,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3269,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 82.51/52.08 tff(3270,plain,
% 82.51/52.08 (v101(constB26) | (~v102(constB26))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3269, 338, 3246, 3266])).
% 82.51/52.08 tff(3271,plain,
% 82.51/52.08 (v101(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3270, 3263])).
% 82.51/52.08 tff(3272,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3273,plain,
% 82.51/52.08 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3274,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3273])).
% 82.51/52.08 tff(3275,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3274, 3272])).
% 82.51/52.08 tff(3276,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3277,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 82.51/52.08 tff(3278,plain,
% 82.51/52.08 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3277, 353, 3246])).
% 82.51/52.08 tff(3279,plain,
% 82.51/52.08 (v100(constB26) | (~v110(constB26))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3278, 3271])).
% 82.51/52.08 tff(3280,plain,
% 82.51/52.08 (v100(constB26)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3279, 3254])).
% 82.51/52.08 tff(3281,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3282,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3283,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 82.51/52.08 tff(3284,plain,
% 82.51/52.08 (~v121(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3283, 2017, 3152])).
% 82.51/52.08 tff(3285,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3286,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3287,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 82.51/52.08 tff(3288,plain,
% 82.51/52.08 (~v122(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3287, 2006, 3152])).
% 82.51/52.08 tff(3289,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3290,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3291,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 82.51/52.08 tff(3292,plain,
% 82.51/52.08 (~v119(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3291, 2028, 3183])).
% 82.51/52.08 tff(3293,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3294,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3295,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 82.51/52.08 tff(3296,plain,
% 82.51/52.08 (~v120(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3295, 2039, 3183])).
% 82.51/52.08 tff(3297,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3298,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3299,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 82.51/52.08 tff(3300,plain,
% 82.51/52.08 (~v123(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3299, 2050, 3183])).
% 82.51/52.08 tff(3301,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3302,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3303,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 82.51/52.08 tff(3304,plain,
% 82.51/52.08 (~v124(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3303, 2061, 3183])).
% 82.51/52.08 tff(3305,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3306,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3307,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 82.51/52.08 tff(3308,plain,
% 82.51/52.08 (~v130(constB25, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3307, 2075, 3304, 3300, 3296, 3292, 3288, 3284])).
% 82.51/52.08 tff(3309,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3310,plain,
% 82.51/52.08 ((v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2))) <=> ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3311,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3310])).
% 82.51/52.08 tff(3312,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3311, 3309])).
% 82.51/52.08 tff(3313,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3314,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3313, 3312])).
% 82.51/52.08 tff(3315,plain,
% 82.51/52.08 ((~v127(constB25, 2)) | v26(constB25)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3314, 556, 3308])).
% 82.51/52.08 tff(3316,plain,
% 82.51/52.08 (~v127(constB25, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3315, 22])).
% 82.51/52.08 tff(3317,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3318,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3319,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3318, 3317])).
% 82.51/52.08 tff(3320,plain,
% 82.51/52.08 (v127(constB25, 2) | (~v129(constB26, 2))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3319, 574, 3246])).
% 82.51/52.08 tff(3321,plain,
% 82.51/52.08 (~v129(constB26, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3320, 3316])).
% 82.51/52.08 tff(3322,plain,
% 82.51/52.08 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3323,plain,
% 82.51/52.08 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3324,plain,
% 82.51/52.08 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 82.51/52.08 tff(3325,plain,
% 82.51/52.08 ((~v90(constB26, 2)) | (~v100(constB26))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3324, 589, 3321])).
% 82.51/52.08 tff(3326,plain,
% 82.51/52.08 (~v90(constB26, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3325, 3280])).
% 82.51/52.08 tff(3327,plain,
% 82.51/52.08 ((~v1(constB27)) <=> (~v1(constB27))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3328,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 82.51/52.08 tff(3329,plain,
% 82.51/52.08 (~v1(constB27)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3328, 3327])).
% 82.51/52.08 tff(3330,plain,
% 82.51/52.08 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3331,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 82.51/52.08 tff(3332,plain,
% 82.51/52.08 (nextState(constB26, constB27)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3331, 3330])).
% 82.51/52.08 tff(3333,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3334,plain,
% 82.51/52.08 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3335,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3334])).
% 82.51/52.08 tff(3336,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3335, 3333])).
% 82.51/52.08 tff(3337,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3338,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 82.51/52.08 tff(3339,plain,
% 82.51/52.08 (~v101(constB27)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3338, 66, 3332, 3329])).
% 82.51/52.08 tff(3340,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3341,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3342,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 82.51/52.08 tff(3343,plain,
% 82.51/52.08 (v101(constB27) | (~v100(constB27))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3342, 83, 3332])).
% 82.51/52.08 tff(3344,plain,
% 82.51/52.08 (~v100(constB27)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3343, 3339])).
% 82.51/52.08 tff(3345,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3346,plain,
% 82.51/52.08 (((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))) <=> (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3347,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))))),
% 82.51/52.08 inference(monotonicity,[status(thm)],[3346])).
% 82.51/52.08 tff(3348,plain,
% 82.51/52.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 82.51/52.08 inference(transitivity,[status(thm)],[3347, 3345])).
% 82.51/52.08 tff(3349,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3350,plain,
% 82.51/52.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 82.51/52.08 tff(3351,plain,
% 82.51/52.08 (v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3350, 98, 3332])).
% 82.51/52.08 tff(3352,plain,
% 82.51/52.08 (v90(constB26, 2) | (~v90(constB27, 2))),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3351, 3344])).
% 82.51/52.08 tff(3353,plain,
% 82.51/52.08 (~v90(constB27, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3352, 3326])).
% 82.51/52.08 tff(3354,plain,
% 82.51/52.08 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ((~v88(VarCurr, 2)) | v90(VarCurr, 2)))),
% 82.51/52.08 inference(bind,[status(th)],[])).
% 82.51/52.08 tff(3355,plain,
% 82.51/52.08 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 82.51/52.08 inference(quant_intro,[status(thm)],[3354])).
% 82.51/52.08 tff(3356,plain,
% 82.51/52.08 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3357,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 82.51/52.08 tff(3358,plain,
% 82.51/52.08 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 82.51/52.08 tff(3359,plain,(
% 82.51/52.08 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 82.51/52.08 inference(skolemize,[status(sab)],[3358])).
% 82.51/52.08 tff(3360,plain,
% 82.51/52.08 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3359, 3355])).
% 82.51/52.08 tff(3361,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB27, 2)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB27, 2)) | v90(constB27, 2))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3362,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB27, 2)) | v90(constB27, 2))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3363,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB27, 2)) | v90(constB27, 2)),
% 82.51/52.08 inference(modus_ponens,[status(thm)],[3362, 3361])).
% 82.51/52.08 tff(3364,plain,
% 82.51/52.08 (~v88(constB27, 2)),
% 82.51/52.08 inference(unit_resolution,[status(thm)],[3363, 3360, 3353])).
% 82.51/52.08 tff(3365,plain,
% 82.51/52.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 82.51/52.08 inference(rewrite,[status(thm)],[])).
% 82.51/52.08 tff(3366,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 82.51/52.08 inference(quant_inst,[status(thm)],[])).
% 82.51/52.08 tff(3367,plain,
% 82.51/52.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 82.51/52.09 tff(3368,plain,
% 82.51/52.09 (~v130(constB25, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3367, 2135, 3304, 3300, 3296, 3292, 3288, 3284])).
% 82.51/52.09 tff(3369,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3370,plain,
% 82.51/52.09 ((v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1))) <=> ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3371,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3370])).
% 82.51/52.09 tff(3372,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3371, 3369])).
% 82.51/52.09 tff(3373,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3374,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 82.51/52.09 tff(3375,plain,
% 82.51/52.09 ((~v127(constB25, 1)) | v26(constB25)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3374, 383, 3368])).
% 82.51/52.09 tff(3376,plain,
% 82.51/52.09 (~v127(constB25, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3375, 22])).
% 82.51/52.09 tff(3377,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3378,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3379,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 82.51/52.09 tff(3380,plain,
% 82.51/52.09 (v127(constB25, 1) | (~v129(constB26, 1))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3379, 401, 3246])).
% 82.51/52.09 tff(3381,plain,
% 82.51/52.09 (~v129(constB26, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3380, 3376])).
% 82.51/52.09 tff(3382,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3383,plain,
% 82.51/52.09 (((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1)) <=> ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3384,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3383])).
% 82.51/52.09 tff(3385,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3384, 3382])).
% 82.51/52.09 tff(3386,plain,
% 82.51/52.09 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3387,plain,
% 82.51/52.09 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 82.51/52.09 tff(3388,plain,
% 82.51/52.09 ((~v90(constB26, 1)) | (~v100(constB26))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3387, 416, 3381])).
% 82.51/52.09 tff(3389,plain,
% 82.51/52.09 (~v90(constB26, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3388, 3280])).
% 82.51/52.09 tff(3390,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3391,plain,
% 82.51/52.09 (((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))) <=> (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3392,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3391])).
% 82.51/52.09 tff(3393,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3392, 3390])).
% 82.51/52.09 tff(3394,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3395,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3394, 3393])).
% 82.51/52.09 tff(3396,plain,
% 82.51/52.09 (v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3395, 119, 3332])).
% 82.51/52.09 tff(3397,plain,
% 82.51/52.09 (v90(constB26, 1) | (~v90(constB27, 1))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3396, 3344])).
% 82.51/52.09 tff(3398,plain,
% 82.51/52.09 (~v90(constB27, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3397, 3389])).
% 82.51/52.09 tff(3399,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ((~v88(VarCurr, 1)) | v90(VarCurr, 1)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3400,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3399])).
% 82.51/52.09 tff(3401,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3402,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 82.51/52.09 tff(3403,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 82.51/52.09 tff(3404,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3403])).
% 82.51/52.09 tff(3405,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3404, 3400])).
% 82.51/52.09 tff(3406,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB27, 1)) | v90(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB27, 1)) | v90(constB27, 1))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3407,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB27, 1)) | v90(constB27, 1))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3408,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB27, 1)) | v90(constB27, 1)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 82.51/52.09 tff(3409,plain,
% 82.51/52.09 (~v88(constB27, 1)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3408, 3405, 3398])).
% 82.51/52.09 tff(3410,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3411,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3412,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 82.51/52.09 tff(3413,plain,
% 82.51/52.09 (v130(constB25, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3412, 2180, 3304, 3300, 3296, 3292, 3288, 3284])).
% 82.51/52.09 tff(3414,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3415,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3416,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 82.51/52.09 tff(3417,plain,
% 82.51/52.09 (v26(constB25) | v127(constB25, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3416, 478, 3413])).
% 82.51/52.09 tff(3418,plain,
% 82.51/52.09 (v127(constB25, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3417, 22])).
% 82.51/52.09 tff(3419,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3420,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3421,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3420, 3419])).
% 82.51/52.09 tff(3422,plain,
% 82.51/52.09 ((~v127(constB25, 0)) | v129(constB26, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3421, 493, 3246])).
% 82.51/52.09 tff(3423,plain,
% 82.51/52.09 (v129(constB26, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3422, 3418])).
% 82.51/52.09 tff(3424,plain,
% 82.51/52.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3425,plain,
% 82.51/52.09 ((v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0))) <=> (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3426,plain,
% 82.51/52.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3425])).
% 82.51/52.09 tff(3427,plain,
% 82.51/52.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3426, 3424])).
% 82.51/52.09 tff(3428,plain,
% 82.51/52.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3429,plain,
% 82.51/52.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3428, 3427])).
% 82.51/52.09 tff(3430,plain,
% 82.51/52.09 (v90(constB26, 0) | (~v100(constB26))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3429, 508, 3423])).
% 82.51/52.09 tff(3431,plain,
% 82.51/52.09 (v90(constB26, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3430, 3280])).
% 82.51/52.09 tff(3432,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3433,plain,
% 82.51/52.09 (((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)) <=> ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3434,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3433])).
% 82.51/52.09 tff(3435,plain,
% 82.51/52.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3434, 3432])).
% 82.51/52.09 tff(3436,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3437,plain,
% 82.51/52.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 82.51/52.09 tff(3438,plain,
% 82.51/52.09 ((~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3437, 526, 3332])).
% 82.51/52.09 tff(3439,plain,
% 82.51/52.09 ((~v90(constB26, 0)) | v90(constB27, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3438, 3344])).
% 82.51/52.09 tff(3440,plain,
% 82.51/52.09 (v90(constB27, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3439, 3431])).
% 82.51/52.09 tff(3441,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ((~v90(VarCurr, 0)) | v88(VarCurr, 0)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3442,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3441])).
% 82.51/52.09 tff(3443,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3444,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 82.51/52.09 tff(3445,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 82.51/52.09 tff(3446,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3445])).
% 82.51/52.09 tff(3447,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3446, 3442])).
% 82.51/52.09 tff(3448,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB27, 0)) | v88(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB27, 0)) | v88(constB27, 0))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3449,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB27, 0)) | v88(constB27, 0))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3450,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB27, 0)) | v88(constB27, 0)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3449, 3448])).
% 82.51/52.09 tff(3451,plain,
% 82.51/52.09 (v88(constB27, 0)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3450, 3447, 3440])).
% 82.51/52.09 tff(3452,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3453,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3452])).
% 82.51/52.09 tff(3454,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3455,plain,
% 82.51/52.09 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3456,plain,
% 82.51/52.09 (![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3455])).
% 82.51/52.09 tff(3457,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 82.51/52.09 tff(3458,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 82.51/52.09 tff(3459,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3458, 3454])).
% 82.51/52.09 tff(3460,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3459])).
% 82.51/52.09 tff(3461,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3460, 3453])).
% 82.51/52.09 tff(3462,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3463,plain,
% 82.51/52.09 ((v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27)) <=> (v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3464,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27)))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3463])).
% 82.51/52.09 tff(3465,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3464, 3462])).
% 82.51/52.09 tff(3466,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB27, 2) | v88(constB27, 1) | (~v88(constB27, 0)) | v140(constB27))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3467,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB27, 1) | v88(constB27, 2) | (~v88(constB27, 0)) | v140(constB27)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 82.51/52.09 tff(3468,plain,
% 82.51/52.09 (v140(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3467, 3461, 3451, 3409, 3364])).
% 82.51/52.09 tff(3469,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v229(VarCurr)) <=> ((~v140(VarCurr)) | v229(VarCurr)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3470,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3469])).
% 82.51/52.09 tff(3471,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3472,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_1')).
% 82.51/52.09 tff(3473,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 82.51/52.09 tff(3474,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3473])).
% 82.51/52.09 tff(3475,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3474, 3470])).
% 82.51/52.09 tff(3476,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | (v229(constB27) | (~v140(constB27)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | v229(constB27) | (~v140(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3477,plain,
% 82.51/52.09 (((~v140(constB27)) | v229(constB27)) <=> (v229(constB27) | (~v140(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3478,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | ((~v140(constB27)) | v229(constB27))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | (v229(constB27) | (~v140(constB27))))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3477])).
% 82.51/52.09 tff(3479,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | ((~v140(constB27)) | v229(constB27))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | v229(constB27) | (~v140(constB27)))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3478, 3476])).
% 82.51/52.09 tff(3480,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | ((~v140(constB27)) | v229(constB27))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3481,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v229(VarCurr))) | v229(constB27) | (~v140(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3480, 3479])).
% 82.51/52.09 tff(3482,plain,
% 82.51/52.09 (v229(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3481, 3475, 3468])).
% 82.51/52.09 tff(3483,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v228(VarCurr) | (~v229(VarCurr))) <=> (v228(VarCurr) | (~v229(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3484,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3483])).
% 82.51/52.09 tff(3485,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3486,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v229(VarCurr)) | v228(VarCurr)) <=> (v228(VarCurr) | (~v229(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3487,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v229(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3486])).
% 82.51/52.09 tff(3488,axiom,(![VarCurr: state_type] : ((~v229(VarCurr)) | v228(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_1')).
% 82.51/52.09 tff(3489,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3488, 3487])).
% 82.51/52.09 tff(3490,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3489, 3485])).
% 82.51/52.09 tff(3491,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3490])).
% 82.51/52.09 tff(3492,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3491, 3484])).
% 82.51/52.09 tff(3493,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB27) | (~v229(constB27)))) <=> ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB27) | (~v229(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3494,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB27) | (~v229(constB27)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3495,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB27) | (~v229(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 82.51/52.09 tff(3496,plain,
% 82.51/52.09 (v228(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3495, 3492, 3482])).
% 82.51/52.09 tff(3497,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v228(VarCurr)) | v227(VarCurr)) <=> ((~v228(VarCurr)) | v227(VarCurr)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3498,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr)) <=> ![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3497])).
% 82.51/52.09 tff(3499,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr)) <=> ![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3500,axiom,(![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_1')).
% 82.51/52.09 tff(3501,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 82.51/52.09 tff(3502,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3501])).
% 82.51/52.09 tff(3503,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3502, 3498])).
% 82.51/52.09 tff(3504,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB27)) | v227(constB27))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB27)) | v227(constB27))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3505,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB27)) | v227(constB27))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3506,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB27)) | v227(constB27)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3505, 3504])).
% 82.51/52.09 tff(3507,plain,
% 82.51/52.09 (v227(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3506, 3503, 3496])).
% 82.51/52.09 tff(3508,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v226(VarCurr) | (~v227(VarCurr))) <=> (v226(VarCurr) | (~v227(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3509,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3508])).
% 82.51/52.09 tff(3510,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3511,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v227(VarCurr)) | v226(VarCurr)) <=> (v226(VarCurr) | (~v227(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3512,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v227(VarCurr)) | v226(VarCurr)) <=> ![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3511])).
% 82.51/52.09 tff(3513,axiom,(![VarCurr: state_type] : ((~v227(VarCurr)) | v226(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_1_1')).
% 82.51/52.09 tff(3514,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3513, 3512])).
% 82.51/52.09 tff(3515,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3514, 3510])).
% 82.51/52.09 tff(3516,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3515])).
% 82.51/52.09 tff(3517,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3516, 3509])).
% 82.51/52.09 tff(3518,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB27) | (~v227(constB27)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB27) | (~v227(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3519,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB27) | (~v227(constB27)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3520,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB27) | (~v227(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 82.51/52.09 tff(3521,plain,
% 82.51/52.09 (v226(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3520, 3517, 3507])).
% 82.51/52.09 tff(3522,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v168(VarCurr)) <=> ((~v140(VarCurr)) | v168(VarCurr)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3523,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3522])).
% 82.51/52.09 tff(3524,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3525,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_3_1_1')).
% 82.51/52.09 tff(3526,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3525, 3524])).
% 82.51/52.09 tff(3527,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3526])).
% 82.51/52.09 tff(3528,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3527, 3523])).
% 82.51/52.09 tff(3529,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))) | ((~v140(constB27)) | v168(constB27))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))) | (~v140(constB27)) | v168(constB27))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3530,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))) | ((~v140(constB27)) | v168(constB27))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3531,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v168(VarCurr))) | (~v140(constB27)) | v168(constB27)),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 82.51/52.09 tff(3532,plain,
% 82.51/52.09 (v168(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3531, 3528, 3468])).
% 82.51/52.09 tff(3533,plain,
% 82.51/52.09 (^[VarNext: state_type] : refl(((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3534,plain,
% 82.51/52.09 (![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3533])).
% 82.51/52.09 tff(3535,plain,
% 82.51/52.09 (![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3536,plain,
% 82.51/52.09 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v168(VarNext))) <=> ((~v226(VarNext)) | (~v168(VarNext)))), ((((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext)) <=> (((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext)))), rewrite((((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext)) <=> ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))), ((((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext)) <=> ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3537,plain,
% 82.51/52.09 (![VarNext: state_type] : (((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3536])).
% 82.51/52.09 tff(3538,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v168(VarNext))) | v161(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_1')).
% 82.51/52.09 tff(3539,plain,
% 82.51/52.09 (![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 82.51/52.09 tff(3540,plain,
% 82.51/52.09 (![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3539, 3535])).
% 82.51/52.09 tff(3541,plain,(
% 82.51/52.09 ![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3540])).
% 82.51/52.09 tff(3542,plain,
% 82.51/52.09 (![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3541, 3534])).
% 82.51/52.09 tff(3543,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB27) | (~v226(constB27)) | (~v168(constB27)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB27) | (~v226(constB27)) | (~v168(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3544,plain,
% 82.51/52.09 (((~v226(constB27)) | (~v168(constB27)) | v161(constB27)) <=> (v161(constB27) | (~v226(constB27)) | (~v168(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3545,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB27)) | (~v168(constB27)) | v161(constB27))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | (v161(constB27) | (~v226(constB27)) | (~v168(constB27))))),
% 82.51/52.09 inference(monotonicity,[status(thm)],[3544])).
% 82.51/52.09 tff(3546,plain,
% 82.51/52.09 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB27)) | (~v168(constB27)) | v161(constB27))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB27) | (~v226(constB27)) | (~v168(constB27)))),
% 82.51/52.09 inference(transitivity,[status(thm)],[3545, 3543])).
% 82.51/52.09 tff(3547,plain,
% 82.51/52.09 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | ((~v226(constB27)) | (~v168(constB27)) | v161(constB27))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3548,plain,
% 82.51/52.09 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v168(VarNext)) | v161(VarNext))) | v161(constB27) | (~v226(constB27)) | (~v168(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 82.51/52.09 tff(3549,plain,
% 82.51/52.09 (v161(constB27) | (~v226(constB27))),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3548, 3542, 3532])).
% 82.51/52.09 tff(3550,plain,
% 82.51/52.09 (v161(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3549, 3521])).
% 82.51/52.09 tff(3551,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl(((~v161(VarCurr)) | (~v311(VarCurr))) <=> ((~v161(VarCurr)) | (~v311(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3552,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr))) <=> ![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3551])).
% 82.51/52.09 tff(3553,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr))) <=> ![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3554,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v311(VarCurr)) | (~v161(VarCurr))) <=> ((~v161(VarCurr)) | (~v311(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3555,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v311(VarCurr)) | (~v161(VarCurr))) <=> ![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3554])).
% 82.51/52.09 tff(3556,axiom,(![VarCurr: state_type] : ((~v311(VarCurr)) | (~v161(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_94_1_1_1_2')).
% 82.51/52.09 tff(3557,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 82.51/52.09 tff(3558,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3557, 3553])).
% 82.51/52.09 tff(3559,plain,(
% 82.51/52.09 ![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3558])).
% 82.51/52.09 tff(3560,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3559, 3552])).
% 82.51/52.09 tff(3561,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB27)) | (~v311(constB27)))) <=> ((~![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB27)) | (~v311(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3562,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | ((~v161(constB27)) | (~v311(constB27)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3563,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : ((~v161(VarCurr)) | (~v311(VarCurr)))) | (~v161(constB27)) | (~v311(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3562, 3561])).
% 82.51/52.09 tff(3564,plain,
% 82.51/52.09 (~v311(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3563, 3560, 3550])).
% 82.51/52.09 tff(3565,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v311(VarCurr) | (~v310(VarCurr))) <=> (v311(VarCurr) | (~v310(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3566,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr))) <=> ![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3565])).
% 82.51/52.09 tff(3567,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr))) <=> ![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3568,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v310(VarCurr)) | v311(VarCurr)) <=> (v311(VarCurr) | (~v310(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3569,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v310(VarCurr)) | v311(VarCurr)) <=> ![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3568])).
% 82.51/52.09 tff(3570,axiom,(![VarCurr: state_type] : ((~v310(VarCurr)) | v311(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_95_1_1_1_1')).
% 82.51/52.09 tff(3571,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 82.51/52.09 tff(3572,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3571, 3567])).
% 82.51/52.09 tff(3573,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3572])).
% 82.51/52.09 tff(3574,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3573, 3566])).
% 82.51/52.09 tff(3575,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB27) | (~v310(constB27)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB27) | (~v310(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3576,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB27) | (~v310(constB27)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3577,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB27) | (~v310(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 82.51/52.09 tff(3578,plain,
% 82.51/52.09 (~v310(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3577, 3574, 3564])).
% 82.51/52.09 tff(3579,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v310(VarCurr) | (~v309(VarCurr))) <=> (v310(VarCurr) | (~v309(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3580,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3579])).
% 82.51/52.09 tff(3581,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3582,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v309(VarCurr)) | v310(VarCurr)) <=> (v310(VarCurr) | (~v309(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3583,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v309(VarCurr)) | v310(VarCurr)) <=> ![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3582])).
% 82.51/52.09 tff(3584,axiom,(![VarCurr: state_type] : ((~v309(VarCurr)) | v310(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_96_1_1_1_1')).
% 82.51/52.09 tff(3585,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 82.51/52.09 tff(3586,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3585, 3581])).
% 82.51/52.09 tff(3587,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3586])).
% 82.51/52.09 tff(3588,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3587, 3580])).
% 82.51/52.09 tff(3589,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB27) | (~v309(constB27)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB27) | (~v309(constB27)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3590,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB27) | (~v309(constB27)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3591,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB27) | (~v309(constB27))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 82.51/52.09 tff(3592,plain,
% 82.51/52.09 (~v309(constB27)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3591, 3588, 3578])).
% 82.51/52.09 tff(3593,assumption,(v18(constB26)), introduced(assumption)).
% 82.51/52.09 tff(3594,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3595,plain,
% 82.51/52.09 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3594])).
% 82.51/52.09 tff(3596,plain,
% 82.51/52.09 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3597,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 82.51/52.09 tff(3598,plain,
% 82.51/52.09 (![VarCurr: state_type] : (~v18(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 82.51/52.09 tff(3599,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (~v18(VarCurr))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3598])).
% 82.51/52.09 tff(3600,plain,
% 82.51/52.09 (![VarCurr: state_type] : (~v18(VarCurr))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3599, 3595])).
% 82.51/52.09 tff(3601,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3602,plain,
% 82.51/52.09 ($false),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3601, 3600, 3593])).
% 82.51/52.09 tff(3603,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 82.51/52.09 tff(3604,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3605,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3604])).
% 82.51/52.09 tff(3606,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3607,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3608,plain,
% 82.51/52.09 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3607])).
% 82.51/52.09 tff(3609,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 82.51/52.09 tff(3610,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 82.51/52.09 tff(3611,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3610, 3606])).
% 82.51/52.09 tff(3612,plain,(
% 82.51/52.09 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(skolemize,[status(sab)],[3611])).
% 82.51/52.09 tff(3613,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3612, 3605])).
% 82.51/52.09 tff(3614,plain,
% 82.51/52.09 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3615,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 82.51/52.09 inference(quant_inst,[status(thm)],[])).
% 82.51/52.09 tff(3616,plain,
% 82.51/52.09 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 82.51/52.09 inference(modus_ponens,[status(thm)],[3615, 3614])).
% 82.51/52.09 tff(3617,plain,
% 82.51/52.09 (v22(constB26)),
% 82.51/52.09 inference(unit_resolution,[status(thm)],[3616, 3613, 3266])).
% 82.51/52.09 tff(3618,plain,
% 82.51/52.09 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3619,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3618])).
% 82.51/52.09 tff(3620,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.09 inference(rewrite,[status(thm)],[])).
% 82.51/52.09 tff(3621,plain,
% 82.51/52.09 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 82.51/52.09 inference(bind,[status(th)],[])).
% 82.51/52.09 tff(3622,plain,
% 82.51/52.09 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.09 inference(quant_intro,[status(thm)],[3621])).
% 82.51/52.09 tff(3623,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 82.51/52.09 tff(3624,plain,
% 82.51/52.09 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3623, 3622])).
% 82.51/52.10 tff(3625,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3624, 3620])).
% 82.51/52.10 tff(3626,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3625])).
% 82.51/52.10 tff(3627,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3626, 3619])).
% 82.51/52.10 tff(3628,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3629,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3630,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 82.51/52.10 tff(3631,plain,
% 82.51/52.10 (v18(constB26) | (~v19(constB26))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3630, 3627, 3617])).
% 82.51/52.10 tff(3632,plain,
% 82.51/52.10 (~v19(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3631, 3603])).
% 82.51/52.10 tff(3633,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3634,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3633])).
% 82.51/52.10 tff(3635,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3636,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_100_1_1_2')).
% 82.51/52.10 tff(3637,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3636, 3635])).
% 82.51/52.10 tff(3638,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3637])).
% 82.51/52.10 tff(3639,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3638, 3634])).
% 82.51/52.10 tff(3640,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3641,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3642,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 82.51/52.10 tff(3643,plain,
% 82.51/52.10 (v13(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3642, 3639, 3632])).
% 82.51/52.10 tff(3644,plain,
% 82.51/52.10 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3645,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3644])).
% 82.51/52.10 tff(3646,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3647,plain,
% 82.51/52.10 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3648,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3647])).
% 82.51/52.10 tff(3649,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_19_2')).
% 82.51/52.10 tff(3650,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 82.51/52.10 tff(3651,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3650, 3646])).
% 82.51/52.10 tff(3652,plain,(
% 82.51/52.10 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3651])).
% 82.51/52.10 tff(3653,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3652, 3645])).
% 82.51/52.10 tff(3654,plain,
% 82.51/52.10 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3655,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3656,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 82.51/52.10 tff(3657,plain,
% 82.51/52.10 (v9(constB25) | (~v13(constB26))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3656, 3653, 3246])).
% 82.51/52.10 tff(3658,plain,
% 82.51/52.10 (v9(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3657, 3643])).
% 82.51/52.10 tff(3659,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3660,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3659])).
% 82.51/52.10 tff(3661,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3662,plain,
% 82.51/52.10 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3663,plain,
% 82.51/52.10 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3662])).
% 82.51/52.10 tff(3664,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1')).
% 82.51/52.10 tff(3665,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3664, 3663])).
% 82.51/52.10 tff(3666,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3665, 3661])).
% 82.51/52.10 tff(3667,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3666])).
% 82.51/52.10 tff(3668,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3667, 3660])).
% 82.51/52.10 tff(3669,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3670,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v184(constB25))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3671,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB25) | (~v9(constB25)) | v184(constB25)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 82.51/52.10 tff(3672,plain,
% 82.51/52.10 ((~v9(constB25)) | v184(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3671, 3668, 3128])).
% 82.51/52.10 tff(3673,plain,
% 82.51/52.10 (v184(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3672, 3658])).
% 82.51/52.10 tff(3674,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v184(VarCurr)) | v183(VarCurr)) <=> ((~v184(VarCurr)) | v183(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3675,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3674])).
% 82.51/52.10 tff(3676,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3677,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1')).
% 82.51/52.10 tff(3678,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 82.51/52.10 tff(3679,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3678])).
% 82.51/52.10 tff(3680,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3679, 3675])).
% 82.51/52.10 tff(3681,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB25)) | v183(constB25))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB25)) | v183(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3682,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB25)) | v183(constB25))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3683,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB25)) | v183(constB25)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 82.51/52.10 tff(3684,plain,
% 82.51/52.10 (v183(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3683, 3680, 3673])).
% 82.51/52.10 tff(3685,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v270(VarCurr))) <=> ((~v183(VarCurr)) | (~v270(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3686,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3685])).
% 82.51/52.10 tff(3687,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3688,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v270(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v270(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3689,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v270(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3688])).
% 82.51/52.10 tff(3690,axiom,(![VarCurr: state_type] : ((~v270(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_75_1_1_3')).
% 82.51/52.10 tff(3691,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 82.51/52.10 tff(3692,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3691, 3687])).
% 82.51/52.10 tff(3693,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3692])).
% 82.51/52.10 tff(3694,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3693, 3686])).
% 82.51/52.10 tff(3695,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB25)) | (~v270(constB25)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB25)) | (~v270(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3696,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB25)) | (~v270(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3697,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB25)) | (~v270(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 82.51/52.10 tff(3698,plain,
% 82.51/52.10 (~v270(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3697, 3694, 3684])).
% 82.51/52.10 tff(3699,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ((~v88(VarCurr, 0)) | v90(VarCurr, 0)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3700,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3699])).
% 82.51/52.10 tff(3701,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3702,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 82.51/52.10 tff(3703,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 82.51/52.10 tff(3704,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3703])).
% 82.51/52.10 tff(3705,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3704, 3700])).
% 82.51/52.10 tff(3706,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3707,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB25, 0)) | v90(constB25, 0))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3708,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB25, 0)) | v90(constB25, 0)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3707, 3706])).
% 82.51/52.10 tff(3709,plain,
% 82.51/52.10 (~v88(constB25, 0)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3708, 3705, 3217])).
% 82.51/52.10 tff(3710,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ((~v90(VarCurr, 2)) | v88(VarCurr, 2)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3711,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3710])).
% 82.51/52.10 tff(3712,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3713,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 82.51/52.10 tff(3714,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 82.51/52.10 tff(3715,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3714])).
% 82.51/52.10 tff(3716,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3715, 3711])).
% 82.51/52.10 tff(3717,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3718,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB25, 2)) | v88(constB25, 2))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3719,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB25, 2)) | v88(constB25, 2)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 82.51/52.10 tff(3720,plain,
% 82.51/52.10 (v88(constB25, 2)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3719, 3716, 3152])).
% 82.51/52.10 tff(3721,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ((~v90(VarCurr, 1)) | v88(VarCurr, 1)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3722,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3721])).
% 82.51/52.10 tff(3723,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3724,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 82.51/52.10 tff(3725,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 82.51/52.10 tff(3726,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3725])).
% 82.51/52.10 tff(3727,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3726, 3722])).
% 82.51/52.10 tff(3728,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3729,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB25, 1)) | v88(constB25, 1))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3730,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB25, 1)) | v88(constB25, 1)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 82.51/52.10 tff(3731,plain,
% 82.51/52.10 (v88(constB25, 1)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3730, 3727, 3183])).
% 82.51/52.10 tff(3732,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3733,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3732])).
% 82.51/52.10 tff(3734,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3735,plain,
% 82.51/52.10 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 0) | (~v88(VarCurr, 1))) <=> ((~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> (((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))))), rewrite((((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> (((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3736,plain,
% 82.51/52.10 (![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3735])).
% 82.51/52.10 tff(3737,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 82.51/52.10 tff(3738,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 82.51/52.10 tff(3739,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3738, 3734])).
% 82.51/52.10 tff(3740,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3739])).
% 82.51/52.10 tff(3741,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3740, 3733])).
% 82.51/52.10 tff(3742,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3743,plain,
% 82.51/52.10 (((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25)) <=> (v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3744,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25)))),
% 82.51/52.10 inference(monotonicity,[status(thm)],[3743])).
% 82.51/52.10 tff(3745,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25))),
% 82.51/52.10 inference(transitivity,[status(thm)],[3744, 3742])).
% 82.51/52.10 tff(3746,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB25, 2)) | (~v88(constB25, 1)) | v88(constB25, 0) | v144(constB25))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3747,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB25, 0) | (~v88(constB25, 1)) | (~v88(constB25, 2)) | v144(constB25)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 82.51/52.10 tff(3748,plain,
% 82.51/52.10 (v144(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3747, 3741, 3731, 3720, 3709])).
% 82.51/52.10 tff(3749,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3750,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3749])).
% 82.51/52.10 tff(3751,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3752,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 82.51/52.10 tff(3753,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 82.51/52.10 tff(3754,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3753])).
% 82.51/52.10 tff(3755,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3754, 3750])).
% 82.51/52.10 tff(3756,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3757,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB25)) | v142(constB25))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3758,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB25)) | v142(constB25)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 82.51/52.10 tff(3759,plain,
% 82.51/52.10 (v142(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3758, 3755, 3748])).
% 82.51/52.10 tff(3760,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v227(VarCurr)) <=> ((~v142(VarCurr)) | v227(VarCurr)))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3761,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3760])).
% 82.51/52.10 tff(3762,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3763,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_2')).
% 82.51/52.10 tff(3764,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3763, 3762])).
% 82.51/52.10 tff(3765,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3764])).
% 82.51/52.10 tff(3766,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3765, 3761])).
% 82.51/52.10 tff(3767,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB25) | (~v142(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3768,plain,
% 82.51/52.10 (((~v142(constB25)) | v227(constB25)) <=> (v227(constB25) | (~v142(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3769,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB25)) | v227(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB25) | (~v142(constB25))))),
% 82.51/52.10 inference(monotonicity,[status(thm)],[3768])).
% 82.51/52.10 tff(3770,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB25)) | v227(constB25))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB25) | (~v142(constB25)))),
% 82.51/52.10 inference(transitivity,[status(thm)],[3769, 3767])).
% 82.51/52.10 tff(3771,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB25)) | v227(constB25))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3772,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB25) | (~v142(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 82.51/52.10 tff(3773,plain,
% 82.51/52.10 (v227(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3772, 3766, 3759])).
% 82.51/52.10 tff(3774,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v227(VarCurr)) | (~v230(VarCurr))) <=> ((~v227(VarCurr)) | (~v230(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3775,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr))) <=> ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3774])).
% 82.51/52.10 tff(3776,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr))) <=> ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3777,axiom,(![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_5_1_1_1')).
% 82.51/52.10 tff(3778,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 82.51/52.10 tff(3779,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3778])).
% 82.51/52.10 tff(3780,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3779, 3775])).
% 82.51/52.10 tff(3781,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | ((~v227(constB25)) | (~v230(constB25)))) <=> ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | (~v227(constB25)) | (~v230(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3782,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | ((~v227(constB25)) | (~v230(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3783,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v227(VarCurr)) | (~v230(VarCurr)))) | (~v227(constB25)) | (~v230(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 82.51/52.10 tff(3784,plain,
% 82.51/52.10 (~v230(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3783, 3780, 3773])).
% 82.51/52.10 tff(3785,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB25) | (~v227(constB25)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB25) | (~v227(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3786,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB25) | (~v227(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3787,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB25) | (~v227(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 82.51/52.10 tff(3788,plain,
% 82.51/52.10 (v226(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3787, 3517, 3773])).
% 82.51/52.10 tff(3789,plain,
% 82.51/52.10 (^[VarNext: state_type] : refl(((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3790,plain,
% 82.51/52.10 (![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3789])).
% 82.51/52.10 tff(3791,plain,
% 82.51/52.10 (![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3792,plain,
% 82.51/52.10 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v223(VarNext))) <=> ((~v226(VarNext)) | (~v223(VarNext)))), ((((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext)) <=> (((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext)))), rewrite((((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext)) <=> ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))), ((((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext)) <=> ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3793,plain,
% 82.51/52.10 (![VarNext: state_type] : (((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3792])).
% 82.51/52.10 tff(3794,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v223(VarNext))) | v230(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_9_2')).
% 82.51/52.10 tff(3795,plain,
% 82.51/52.10 (![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 82.51/52.10 tff(3796,plain,
% 82.51/52.10 (![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3795, 3791])).
% 82.51/52.10 tff(3797,plain,(
% 82.51/52.10 ![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3796])).
% 82.51/52.10 tff(3798,plain,
% 82.51/52.10 (![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3797, 3790])).
% 82.51/52.10 tff(3799,plain,
% 82.51/52.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v223(constB25)) | (~v226(constB25)) | v230(constB25))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB25)) | (~v226(constB25)) | v230(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3800,plain,
% 82.51/52.10 (((~v226(constB25)) | v230(constB25) | (~v223(constB25))) <=> ((~v223(constB25)) | (~v226(constB25)) | v230(constB25))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3801,plain,
% 82.51/52.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB25)) | v230(constB25) | (~v223(constB25)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v223(constB25)) | (~v226(constB25)) | v230(constB25)))),
% 82.51/52.10 inference(monotonicity,[status(thm)],[3800])).
% 82.51/52.10 tff(3802,plain,
% 82.51/52.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB25)) | v230(constB25) | (~v223(constB25)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB25)) | (~v226(constB25)) | v230(constB25))),
% 82.51/52.10 inference(transitivity,[status(thm)],[3801, 3799])).
% 82.51/52.10 tff(3803,plain,
% 82.51/52.10 ((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | ((~v226(constB25)) | v230(constB25) | (~v223(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3804,plain,
% 82.51/52.10 ((~![VarNext: state_type] : ((~v226(VarNext)) | v230(VarNext) | (~v223(VarNext)))) | (~v223(constB25)) | (~v226(constB25)) | v230(constB25)),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 82.51/52.10 tff(3805,plain,
% 82.51/52.10 (~v223(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3804, 3798, 3788, 3784])).
% 82.51/52.10 tff(3806,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v223(VarCurr) | (~v262(VarCurr))) <=> (v223(VarCurr) | (~v262(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3807,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3806])).
% 82.51/52.10 tff(3808,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3809,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v262(VarCurr)) | v223(VarCurr)) <=> (v223(VarCurr) | (~v262(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3810,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v262(VarCurr)) | v223(VarCurr)) <=> ![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3809])).
% 82.51/52.10 tff(3811,axiom,(![VarCurr: state_type] : ((~v262(VarCurr)) | v223(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_71_1_1_2')).
% 82.51/52.10 tff(3812,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3811, 3810])).
% 82.51/52.10 tff(3813,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3812, 3808])).
% 82.51/52.10 tff(3814,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3813])).
% 82.51/52.10 tff(3815,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3814, 3807])).
% 82.51/52.10 tff(3816,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))) | (v223(constB25) | (~v262(constB25)))) <=> ((~![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))) | v223(constB25) | (~v262(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3817,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))) | (v223(constB25) | (~v262(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3818,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v223(VarCurr) | (~v262(VarCurr)))) | v223(constB25) | (~v262(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 82.51/52.10 tff(3819,plain,
% 82.51/52.10 (~v262(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3818, 3815, 3805])).
% 82.51/52.10 tff(3820,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v262(VarCurr) | (~v261(VarCurr))) <=> (v262(VarCurr) | (~v261(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3821,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr))) <=> ![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3820])).
% 82.51/52.10 tff(3822,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr))) <=> ![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3823,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v261(VarCurr)) | v262(VarCurr)) <=> (v262(VarCurr) | (~v261(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3824,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v261(VarCurr)) | v262(VarCurr)) <=> ![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3823])).
% 82.51/52.10 tff(3825,axiom,(![VarCurr: state_type] : ((~v261(VarCurr)) | v262(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_72_1_1_2')).
% 82.51/52.10 tff(3826,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 82.51/52.10 tff(3827,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3826, 3822])).
% 82.51/52.10 tff(3828,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3827])).
% 82.51/52.10 tff(3829,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3828, 3821])).
% 82.51/52.10 tff(3830,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB25) | (~v261(constB25)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB25) | (~v261(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3831,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB25) | (~v261(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3832,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB25) | (~v261(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 82.51/52.10 tff(3833,plain,
% 82.51/52.10 (~v261(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3832, 3829, 3819])).
% 82.51/52.10 tff(3834,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v261(VarCurr) | (~v271(VarCurr))) <=> (v261(VarCurr) | (~v271(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3835,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3834])).
% 82.51/52.10 tff(3836,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3837,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v271(VarCurr)) | v261(VarCurr)) <=> (v261(VarCurr) | (~v271(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3838,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v271(VarCurr)) | v261(VarCurr)) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3837])).
% 82.51/52.10 tff(3839,axiom,(![VarCurr: state_type] : ((~v271(VarCurr)) | v261(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_76_1_1_3')).
% 82.51/52.10 tff(3840,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 82.51/52.10 tff(3841,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3840, 3836])).
% 82.51/52.10 tff(3842,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3841])).
% 82.51/52.10 tff(3843,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3842, 3835])).
% 82.51/52.10 tff(3844,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB25) | (~v271(constB25)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB25) | (~v271(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3845,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB25) | (~v271(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3846,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB25) | (~v271(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 82.51/52.10 tff(3847,plain,
% 82.51/52.10 (~v271(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3846, 3843, 3833])).
% 82.51/52.10 tff(3848,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr))) <=> (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3849,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr))) <=> ![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3848])).
% 82.51/52.10 tff(3850,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr))) <=> ![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3851,plain,
% 82.51/52.10 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v267(VarCurr)) | v270(VarCurr)) <=> (v270(VarCurr) | (~v267(VarCurr)))), ((((~v267(VarCurr)) | v270(VarCurr)) | v271(VarCurr)) <=> ((v270(VarCurr) | (~v267(VarCurr))) | v271(VarCurr)))), rewrite(((v270(VarCurr) | (~v267(VarCurr))) | v271(VarCurr)) <=> (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))), ((((~v267(VarCurr)) | v270(VarCurr)) | v271(VarCurr)) <=> (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3852,plain,
% 82.51/52.10 (![VarCurr: state_type] : (((~v267(VarCurr)) | v270(VarCurr)) | v271(VarCurr)) <=> ![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3851])).
% 82.51/52.10 tff(3853,axiom,(![VarCurr: state_type] : (((~v267(VarCurr)) | v270(VarCurr)) | v271(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_77_1_3')).
% 82.51/52.10 tff(3854,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 82.51/52.10 tff(3855,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3854, 3850])).
% 82.51/52.10 tff(3856,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3855])).
% 82.51/52.10 tff(3857,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3856, 3849])).
% 82.51/52.10 tff(3858,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB25) | v271(constB25) | (~v267(constB25)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB25) | v271(constB25) | (~v267(constB25)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3859,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB25) | v271(constB25) | (~v267(constB25)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3860,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB25) | v271(constB25) | (~v267(constB25))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 82.51/52.10 tff(3861,plain,
% 82.51/52.10 (v270(constB25) | (~v267(constB25))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3860, 3857, 3847])).
% 82.51/52.10 tff(3862,plain,
% 82.51/52.10 (~v267(constB25)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3861, 3698])).
% 82.51/52.10 tff(3863,plain,
% 82.51/52.10 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3864,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3863])).
% 82.51/52.10 tff(3865,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3866,plain,
% 82.51/52.10 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v269(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3867,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3866])).
% 82.51/52.10 tff(3868,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v269(VarNext))) | v267(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_17_1_2')).
% 82.51/52.10 tff(3869,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 82.51/52.10 tff(3870,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3869, 3865])).
% 82.51/52.10 tff(3871,plain,(
% 82.51/52.10 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3870])).
% 82.51/52.10 tff(3872,plain,
% 82.51/52.10 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3871, 3864])).
% 82.51/52.10 tff(3873,plain,
% 82.51/52.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB25, constB26)) | v267(constB25) | (~v269(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB25, constB26)) | v267(constB25) | (~v269(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3874,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB25, constB26)) | v267(constB25) | (~v269(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3875,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB25, constB26)) | v267(constB25) | (~v269(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3874, 3873])).
% 82.51/52.10 tff(3876,plain,
% 82.51/52.10 (v267(constB25) | (~v269(constB26))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3875, 3872, 3246])).
% 82.51/52.10 tff(3877,plain,
% 82.51/52.10 (~v269(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3876, 3862])).
% 82.51/52.10 tff(3878,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v269(VarCurr) | (~v270(VarCurr))) <=> (v269(VarCurr) | (~v270(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3879,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3878])).
% 82.51/52.10 tff(3880,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3881,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v270(VarCurr)) | v269(VarCurr)) <=> (v269(VarCurr) | (~v270(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3882,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v270(VarCurr)) | v269(VarCurr)) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3881])).
% 82.51/52.10 tff(3883,axiom,(![VarCurr: state_type] : ((~v270(VarCurr)) | v269(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_75_1_1_2')).
% 82.51/52.10 tff(3884,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 82.51/52.10 tff(3885,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3884, 3880])).
% 82.51/52.10 tff(3886,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3885])).
% 82.51/52.10 tff(3887,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3886, 3879])).
% 82.51/52.10 tff(3888,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB26) | (~v270(constB26)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB26) | (~v270(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3889,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB26) | (~v270(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3890,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB26) | (~v270(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 82.51/52.10 tff(3891,plain,
% 82.51/52.10 (~v270(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3890, 3887, 3877])).
% 82.51/52.10 tff(3892,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v184(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3893,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3892])).
% 82.51/52.10 tff(3894,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3895,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v184(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3896,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3895])).
% 82.51/52.10 tff(3897,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_2')).
% 82.51/52.10 tff(3898,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3897, 3896])).
% 82.51/52.10 tff(3899,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3898, 3894])).
% 82.51/52.10 tff(3900,plain,(
% 82.51/52.10 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3899])).
% 82.51/52.10 tff(3901,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3900, 3893])).
% 82.51/52.10 tff(3902,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3903,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB26)) | (~v184(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3904,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB26)) | (~v184(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 82.51/52.10 tff(3905,plain,
% 82.51/52.10 (~v184(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3904, 3901, 3266])).
% 82.51/52.10 tff(3906,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v262(VarCurr))) <=> (v184(VarCurr) | (~v262(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3907,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3906])).
% 82.51/52.10 tff(3908,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3909,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v262(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v262(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3910,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v262(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3909])).
% 82.51/52.10 tff(3911,axiom,(![VarCurr: state_type] : ((~v262(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_71_1_1_3')).
% 82.51/52.10 tff(3912,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 82.51/52.10 tff(3913,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3912, 3908])).
% 82.51/52.10 tff(3914,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3913])).
% 82.51/52.10 tff(3915,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3914, 3907])).
% 82.51/52.10 tff(3916,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB26) | (~v262(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB26) | (~v262(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3917,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB26) | (~v262(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3918,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB26) | (~v262(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 82.51/52.10 tff(3919,plain,
% 82.51/52.10 (~v262(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3918, 3915, 3905])).
% 82.51/52.10 tff(3920,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB26) | (~v261(constB26)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB26) | (~v261(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3921,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB26) | (~v261(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3922,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB26) | (~v261(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 82.51/52.10 tff(3923,plain,
% 82.51/52.10 (~v261(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3922, 3829, 3919])).
% 82.51/52.10 tff(3924,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB26) | (~v271(constB26)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB26) | (~v271(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3925,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB26) | (~v271(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3926,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB26) | (~v271(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 82.51/52.10 tff(3927,plain,
% 82.51/52.10 (~v271(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3926, 3843, 3923])).
% 82.51/52.10 tff(3928,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB26) | v271(constB26) | (~v267(constB26)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB26) | v271(constB26) | (~v267(constB26)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3929,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB26) | v271(constB26) | (~v267(constB26)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3930,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB26) | v271(constB26) | (~v267(constB26))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 82.51/52.10 tff(3931,plain,
% 82.51/52.10 (v270(constB26) | (~v267(constB26))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3930, 3857, 3927])).
% 82.51/52.10 tff(3932,plain,
% 82.51/52.10 (~v267(constB26)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3931, 3891])).
% 82.51/52.10 tff(3933,plain,
% 82.51/52.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB26, constB27)) | v267(constB26) | (~v269(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB26, constB27)) | v267(constB26) | (~v269(constB27)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3934,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB26, constB27)) | v267(constB26) | (~v269(constB27)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3935,plain,
% 82.51/52.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB26, constB27)) | v267(constB26) | (~v269(constB27))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 82.51/52.10 tff(3936,plain,
% 82.51/52.10 (v267(constB26) | (~v269(constB27))),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3935, 3872, 3332])).
% 82.51/52.10 tff(3937,plain,
% 82.51/52.10 (~v269(constB27)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3936, 3932])).
% 82.51/52.10 tff(3938,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl((v269(VarCurr) | (~v307(VarCurr))) <=> (v269(VarCurr) | (~v307(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3939,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3938])).
% 82.51/52.10 tff(3940,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3941,plain,
% 82.51/52.10 (^[VarCurr: state_type] : rewrite(((~v307(VarCurr)) | v269(VarCurr)) <=> (v269(VarCurr) | (~v307(VarCurr))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3942,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v307(VarCurr)) | v269(VarCurr)) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3941])).
% 82.51/52.10 tff(3943,axiom,(![VarCurr: state_type] : ((~v307(VarCurr)) | v269(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_92_1_1_1_2')).
% 82.51/52.10 tff(3944,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3943, 3942])).
% 82.51/52.10 tff(3945,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3944, 3940])).
% 82.51/52.10 tff(3946,plain,(
% 82.51/52.10 ![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(skolemize,[status(sab)],[3945])).
% 82.51/52.10 tff(3947,plain,
% 82.51/52.10 (![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3946, 3939])).
% 82.51/52.10 tff(3948,plain,
% 82.51/52.10 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB27) | (~v307(constB27)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB27) | (~v307(constB27)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3949,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB27) | (~v307(constB27)))),
% 82.51/52.10 inference(quant_inst,[status(thm)],[])).
% 82.51/52.10 tff(3950,plain,
% 82.51/52.10 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB27) | (~v307(constB27))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 82.51/52.10 tff(3951,plain,
% 82.51/52.10 (~v307(constB27)),
% 82.51/52.10 inference(unit_resolution,[status(thm)],[3950, 3947, 3937])).
% 82.51/52.10 tff(3952,plain,
% 82.51/52.10 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 1))))),
% 82.51/52.10 inference(bind,[status(th)],[])).
% 82.51/52.10 tff(3953,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.10 inference(quant_intro,[status(thm)],[3952])).
% 82.51/52.10 tff(3954,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.10 inference(rewrite,[status(thm)],[])).
% 82.51/52.10 tff(3955,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 82.51/52.10 tff(3956,plain,
% 82.51/52.10 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.10 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 82.51/52.11 tff(3957,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[3956])).
% 82.51/52.11 tff(3958,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3957, 3953])).
% 82.51/52.11 tff(3959,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3960,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB25)) | (~v88(constB25, 1)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(3961,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB25)) | (~v88(constB25, 1))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 82.51/52.11 tff(3962,plain,
% 82.51/52.11 (~v139(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[3961, 3958, 3731])).
% 82.51/52.11 tff(3963,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 1))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(3964,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[3963])).
% 82.51/52.11 tff(3965,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3966,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 82.51/52.11 tff(3967,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3966, 3965])).
% 82.51/52.11 tff(3968,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[3967])).
% 82.51/52.11 tff(3969,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3968, 3964])).
% 82.51/52.11 tff(3970,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3971,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB25)) | (~v88(constB25, 1)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(3972,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB25)) | (~v88(constB25, 1))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 82.51/52.11 tff(3973,plain,
% 82.51/52.11 (~v140(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[3972, 3969, 3731])).
% 82.51/52.11 tff(3974,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(3975,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[3974])).
% 82.51/52.11 tff(3976,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3977,plain,
% 82.51/52.11 (^[VarCurr: state_type] : rewrite(((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(3978,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[3977])).
% 82.51/52.11 tff(3979,axiom,(![VarCurr: state_type] : ((v139(VarCurr) | v140(VarCurr)) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1')).
% 82.51/52.11 tff(3980,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 82.51/52.11 tff(3981,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3980, 3976])).
% 82.51/52.11 tff(3982,plain,(
% 82.51/52.11 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[3981])).
% 82.51/52.11 tff(3983,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3982, 3975])).
% 82.51/52.11 tff(3984,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3985,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB25) | v140(constB25) | (~v168(constB25)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(3986,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB25) | v140(constB25) | (~v168(constB25))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 82.51/52.11 tff(3987,plain,
% 82.51/52.11 (~v168(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[3986, 3983, 3973, 3962])).
% 82.51/52.11 tff(3988,plain,
% 82.51/52.11 (^[VarNext: state_type] : refl(((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(3989,plain,
% 82.51/52.11 (![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[3988])).
% 82.51/52.11 tff(3990,plain,
% 82.51/52.11 (![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3991,plain,
% 82.51/52.11 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v161(VarNext))) <=> ((~v226(VarNext)) | (~v161(VarNext)))), ((((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> (((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext)))), rewrite((((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))), ((((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(3992,plain,
% 82.51/52.11 (![VarNext: state_type] : (((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[3991])).
% 82.51/52.11 tff(3993,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v161(VarNext))) | v168(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_2')).
% 82.51/52.11 tff(3994,plain,
% 82.51/52.11 (![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 82.51/52.11 tff(3995,plain,
% 82.51/52.11 (![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3994, 3990])).
% 82.51/52.11 tff(3996,plain,(
% 82.51/52.11 ![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[3995])).
% 82.51/52.11 tff(3997,plain,
% 82.51/52.11 (![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[3996, 3989])).
% 82.51/52.11 tff(3998,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB25)) | v168(constB25) | (~v226(constB25)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | v168(constB25) | (~v226(constB25)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(3999,plain,
% 82.51/52.11 (((~v226(constB25)) | v168(constB25) | (~v161(constB25))) <=> ((~v161(constB25)) | v168(constB25) | (~v226(constB25)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4000,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB25)) | v168(constB25) | (~v161(constB25)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB25)) | v168(constB25) | (~v226(constB25))))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[3999])).
% 82.51/52.11 tff(4001,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB25)) | v168(constB25) | (~v161(constB25)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | v168(constB25) | (~v226(constB25)))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4000, 3998])).
% 82.51/52.11 tff(4002,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB25)) | v168(constB25) | (~v161(constB25)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4003,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB25)) | v168(constB25) | (~v226(constB25))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 82.51/52.11 tff(4004,plain,
% 82.51/52.11 ((~v161(constB25)) | (~v226(constB25))),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4003, 3997, 3987])).
% 82.51/52.11 tff(4005,plain,
% 82.51/52.11 (~v161(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4004, 3788])).
% 82.51/52.11 tff(4006,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl((v161(VarCurr) | (~v187(VarCurr))) <=> (v161(VarCurr) | (~v187(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4007,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4006])).
% 82.51/52.11 tff(4008,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4009,plain,
% 82.51/52.11 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v161(VarCurr)) <=> (v161(VarCurr) | (~v187(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4010,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v187(VarCurr)) | v161(VarCurr)) <=> ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4009])).
% 82.51/52.11 tff(4011,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v161(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_3')).
% 82.51/52.11 tff(4012,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 82.51/52.11 tff(4013,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4012, 4008])).
% 82.51/52.11 tff(4014,plain,(
% 82.51/52.11 ![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4013])).
% 82.51/52.11 tff(4015,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4014, 4007])).
% 82.51/52.11 tff(4016,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB25) | (~v187(constB25)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB25) | (~v187(constB25)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4017,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB25) | (~v187(constB25)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4018,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB25) | (~v187(constB25))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 82.51/52.11 tff(4019,plain,
% 82.51/52.11 (~v187(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4018, 4015, 4005])).
% 82.51/52.11 tff(4020,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl((v187(VarCurr) | (~v185(VarCurr))) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4021,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4020])).
% 82.51/52.11 tff(4022,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4023,plain,
% 82.51/52.11 (^[VarCurr: state_type] : rewrite(((~v185(VarCurr)) | v187(VarCurr)) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4024,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr)) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4023])).
% 82.51/52.11 tff(4025,axiom,(![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 82.51/52.11 tff(4026,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 82.51/52.11 tff(4027,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4026, 4022])).
% 82.51/52.11 tff(4028,plain,(
% 82.51/52.11 ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4027])).
% 82.51/52.11 tff(4029,plain,
% 82.51/52.11 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4028, 4021])).
% 82.51/52.11 tff(4030,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4031,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB25) | (~v185(constB25)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4032,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB25) | (~v185(constB25))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 82.51/52.11 tff(4033,plain,
% 82.51/52.11 (~v185(constB25)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4032, 4029, 4019])).
% 82.51/52.11 tff(4034,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB23, 2)) | v88(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB23, 2)) | v88(constB23, 2))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4035,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB23, 2)) | v88(constB23, 2))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4036,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB23, 2)) | v88(constB23, 2)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 82.51/52.11 tff(4037,plain,
% 82.51/52.11 (v88(constB23, 2)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4036, 3716, 2968])).
% 82.51/52.11 tff(4038,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 2))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4039,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4038])).
% 82.51/52.11 tff(4040,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4041,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 82.51/52.11 tff(4042,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 82.51/52.11 tff(4043,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4042])).
% 82.51/52.11 tff(4044,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4043, 4039])).
% 82.51/52.11 tff(4045,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB23)) | (~v88(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB23)) | (~v88(constB23, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4046,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB23)) | (~v88(constB23, 2)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4047,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB23)) | (~v88(constB23, 2))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 82.51/52.11 tff(4048,plain,
% 82.51/52.11 (~v140(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4047, 4044, 4037])).
% 82.51/52.11 tff(4049,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB23, 0)) | v88(constB23, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB23, 0)) | v88(constB23, 0))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4050,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB23, 0)) | v88(constB23, 0))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4051,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB23, 0)) | v88(constB23, 0)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 82.51/52.11 tff(4052,plain,
% 82.51/52.11 (v88(constB23, 0)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4051, 3447, 3033])).
% 82.51/52.11 tff(4053,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 0))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4054,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4053])).
% 82.51/52.11 tff(4055,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4056,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 82.51/52.11 tff(4057,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 82.51/52.11 tff(4058,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4057])).
% 82.51/52.11 tff(4059,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4058, 4054])).
% 82.51/52.11 tff(4060,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB23)) | (~v88(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB23)) | (~v88(constB23, 0)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4061,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB23)) | (~v88(constB23, 0)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4062,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB23)) | (~v88(constB23, 0))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 82.51/52.11 tff(4063,plain,
% 82.51/52.11 (~v139(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4062, 4059, 4052])).
% 82.51/52.11 tff(4064,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB23) | v140(constB23) | (~v168(constB23)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB23) | v140(constB23) | (~v168(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4065,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB23) | v140(constB23) | (~v168(constB23)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4066,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB23) | v140(constB23) | (~v168(constB23))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 82.51/52.11 tff(4067,plain,
% 82.51/52.11 (~v168(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4066, 3983, 4063, 4048])).
% 82.51/52.11 tff(4068,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB23, 1)) | v90(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB23, 1)) | v90(constB23, 1))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4069,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB23, 1)) | v90(constB23, 1))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4070,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB23, 1)) | v90(constB23, 1)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 82.51/52.11 tff(4071,plain,
% 82.51/52.11 (~v88(constB23, 1)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4070, 3405, 3002])).
% 82.51/52.11 tff(4072,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4073,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4072])).
% 82.51/52.11 tff(4074,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4075,plain,
% 82.51/52.11 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 1) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))))), rewrite(((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4076,plain,
% 82.51/52.11 (![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4075])).
% 82.51/52.11 tff(4077,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 82.51/52.11 tff(4078,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4077, 4076])).
% 82.51/52.11 tff(4079,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4078, 4074])).
% 82.51/52.11 tff(4080,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4079])).
% 82.51/52.11 tff(4081,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4080, 4073])).
% 82.51/52.11 tff(4082,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4083,plain,
% 82.51/52.11 (((~v88(constB23, 2)) | v88(constB23, 1) | (~v88(constB23, 0)) | v147(constB23)) <=> ((~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4084,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB23, 2)) | v88(constB23, 1) | (~v88(constB23, 0)) | v147(constB23))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2))))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4083])).
% 82.51/52.11 tff(4085,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB23, 2)) | v88(constB23, 1) | (~v88(constB23, 0)) | v147(constB23))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2)))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4084, 4082])).
% 82.51/52.11 tff(4086,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB23, 2)) | v88(constB23, 1) | (~v88(constB23, 0)) | v147(constB23))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4087,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB23, 0)) | v147(constB23) | v88(constB23, 1) | (~v88(constB23, 2))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 82.51/52.11 tff(4088,plain,
% 82.51/52.11 (v147(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4087, 4081, 4052, 4037, 4071])).
% 82.51/52.11 tff(4089,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v147(VarCurr)) | v145(VarCurr)) <=> ((~v147(VarCurr)) | v145(VarCurr)))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4090,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4089])).
% 82.51/52.11 tff(4091,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4092,axiom,(![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 82.51/52.11 tff(4093,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4092, 4091])).
% 82.51/52.11 tff(4094,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4093])).
% 82.51/52.11 tff(4095,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4094, 4090])).
% 82.51/52.11 tff(4096,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB23)) | v145(constB23))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB23)) | v145(constB23))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4097,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB23)) | v145(constB23))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4098,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB23)) | v145(constB23)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 82.51/52.11 tff(4099,plain,
% 82.51/52.11 (v145(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4098, 4095, 4088])).
% 82.51/52.11 tff(4100,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v226(VarCurr)) <=> ((~v145(VarCurr)) | v226(VarCurr)))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4101,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4100])).
% 82.51/52.11 tff(4102,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4103,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_1_2')).
% 82.51/52.11 tff(4104,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 82.51/52.11 tff(4105,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4104])).
% 82.51/52.11 tff(4106,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4105, 4101])).
% 82.51/52.11 tff(4107,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB23) | (~v145(constB23)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB23) | (~v145(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4108,plain,
% 82.51/52.11 (((~v145(constB23)) | v226(constB23)) <=> (v226(constB23) | (~v145(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4109,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB23)) | v226(constB23))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB23) | (~v145(constB23))))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4108])).
% 82.51/52.11 tff(4110,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB23)) | v226(constB23))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB23) | (~v145(constB23)))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4109, 4107])).
% 82.51/52.11 tff(4111,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB23)) | v226(constB23))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4112,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB23) | (~v145(constB23))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 82.51/52.11 tff(4113,plain,
% 82.51/52.11 (v226(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4112, 4106, 4099])).
% 82.51/52.11 tff(4114,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB23)) | v168(constB23) | (~v226(constB23)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB23)) | v168(constB23) | (~v226(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4115,plain,
% 82.51/52.11 (((~v226(constB23)) | v168(constB23) | (~v161(constB23))) <=> ((~v161(constB23)) | v168(constB23) | (~v226(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4116,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB23)) | v168(constB23) | (~v161(constB23)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB23)) | v168(constB23) | (~v226(constB23))))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4115])).
% 82.51/52.11 tff(4117,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB23)) | v168(constB23) | (~v161(constB23)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB23)) | v168(constB23) | (~v226(constB23)))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4116, 4114])).
% 82.51/52.11 tff(4118,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB23)) | v168(constB23) | (~v161(constB23)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4119,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB23)) | v168(constB23) | (~v226(constB23))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4118, 4117])).
% 82.51/52.11 tff(4120,plain,
% 82.51/52.11 (~v161(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4119, 3997, 4113, 4067])).
% 82.51/52.11 tff(4121,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB23) | (~v187(constB23)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB23) | (~v187(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4122,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB23) | (~v187(constB23)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4123,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB23) | (~v187(constB23))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 82.51/52.11 tff(4124,plain,
% 82.51/52.11 (~v187(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4123, 4015, 4120])).
% 82.51/52.11 tff(4125,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB23) | (~v185(constB23)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB23) | (~v185(constB23)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4126,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB23) | (~v185(constB23)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4127,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB23) | (~v185(constB23))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 82.51/52.11 tff(4128,plain,
% 82.51/52.11 (~v185(constB23)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4127, 4029, 4124])).
% 82.51/52.11 tff(4129,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB21, 2)) | v88(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB21, 2)) | v88(constB21, 2))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4130,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB21, 2)) | v88(constB21, 2))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4131,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB21, 2)) | v88(constB21, 2)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 82.51/52.11 tff(4132,plain,
% 82.51/52.11 (v88(constB21, 2)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4131, 3716, 2772])).
% 82.51/52.11 tff(4133,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 2))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4134,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4133])).
% 82.51/52.11 tff(4135,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4136,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 82.51/52.11 tff(4137,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 82.51/52.11 tff(4138,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4137])).
% 82.51/52.11 tff(4139,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4138, 4134])).
% 82.51/52.11 tff(4140,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB21)) | (~v88(constB21, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4141,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB21)) | (~v88(constB21, 2)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4142,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB21)) | (~v88(constB21, 2))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4141, 4140])).
% 82.51/52.11 tff(4143,plain,
% 82.51/52.11 (~v139(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4142, 4139, 4132])).
% 82.51/52.11 tff(4144,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB21)) | (~v88(constB21, 2)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4145,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB21)) | (~v88(constB21, 2)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4146,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB21)) | (~v88(constB21, 2))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 82.51/52.11 tff(4147,plain,
% 82.51/52.11 (~v140(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4146, 4044, 4132])).
% 82.51/52.11 tff(4148,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4149,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v168(constB21)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4150,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB21) | v140(constB21) | (~v168(constB21))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 82.51/52.11 tff(4151,plain,
% 82.51/52.11 (~v168(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4150, 3983, 4147, 4143])).
% 82.51/52.11 tff(4152,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB21, 1)) | v90(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB21, 1)) | v90(constB21, 1))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4153,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB21, 1)) | v90(constB21, 1))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4154,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB21, 1)) | v90(constB21, 1)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 82.51/52.11 tff(4155,plain,
% 82.51/52.11 (~v88(constB21, 1)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4154, 3405, 2814])).
% 82.51/52.11 tff(4156,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB21, 0)) | v90(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB21, 0)) | v90(constB21, 0))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4157,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB21, 0)) | v90(constB21, 0))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4158,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB21, 0)) | v90(constB21, 0)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 82.51/52.11 tff(4159,plain,
% 82.51/52.11 (~v88(constB21, 0)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4158, 3705, 2848])).
% 82.51/52.11 tff(4160,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4161,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4160])).
% 82.51/52.11 tff(4162,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4163,plain,
% 82.51/52.11 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4164,plain,
% 82.51/52.11 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4163])).
% 82.51/52.11 tff(4165,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 82.51/52.11 tff(4166,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 82.51/52.11 tff(4167,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4166, 4162])).
% 82.51/52.11 tff(4168,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4167])).
% 82.51/52.11 tff(4169,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4168, 4161])).
% 82.51/52.11 tff(4170,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4171,plain,
% 82.51/52.11 (((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21)) <=> ((~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4172,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0)))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4171])).
% 82.51/52.11 tff(4173,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4172, 4170])).
% 82.51/52.11 tff(4174,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB21, 2)) | v88(constB21, 1) | v88(constB21, 0) | v146(constB21))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4175,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB21, 2)) | v146(constB21) | v88(constB21, 1) | v88(constB21, 0)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4174, 4173])).
% 82.51/52.11 tff(4176,plain,
% 82.51/52.11 (v146(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4175, 4169, 4132, 4159, 4155])).
% 82.51/52.11 tff(4177,plain,
% 82.51/52.11 (^[VarCurr: state_type] : refl(((~v146(VarCurr)) | v145(VarCurr)) <=> ((~v146(VarCurr)) | v145(VarCurr)))),
% 82.51/52.11 inference(bind,[status(th)],[])).
% 82.51/52.11 tff(4178,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(quant_intro,[status(thm)],[4177])).
% 82.51/52.11 tff(4179,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4180,axiom,(![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 82.51/52.11 tff(4181,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 82.51/52.11 tff(4182,plain,(
% 82.51/52.11 ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(skolemize,[status(sab)],[4181])).
% 82.51/52.11 tff(4183,plain,
% 82.51/52.11 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4182, 4178])).
% 82.51/52.11 tff(4184,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB21)) | v145(constB21))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB21)) | v145(constB21))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4185,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB21)) | v145(constB21))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4186,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB21)) | v145(constB21)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 82.51/52.11 tff(4187,plain,
% 82.51/52.11 (v145(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4186, 4183, 4176])).
% 82.51/52.11 tff(4188,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB21) | (~v145(constB21)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB21) | (~v145(constB21)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4189,plain,
% 82.51/52.11 (((~v145(constB21)) | v226(constB21)) <=> (v226(constB21) | (~v145(constB21)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4190,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB21)) | v226(constB21))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB21) | (~v145(constB21))))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4189])).
% 82.51/52.11 tff(4191,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB21)) | v226(constB21))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB21) | (~v145(constB21)))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4190, 4188])).
% 82.51/52.11 tff(4192,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB21)) | v226(constB21))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4193,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB21) | (~v145(constB21))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 82.51/52.11 tff(4194,plain,
% 82.51/52.11 (v226(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4193, 4106, 4187])).
% 82.51/52.11 tff(4195,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB21)) | (~v226(constB21)) | v168(constB21))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | (~v226(constB21)) | v168(constB21))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4196,plain,
% 82.51/52.11 (((~v226(constB21)) | v168(constB21) | (~v161(constB21))) <=> ((~v161(constB21)) | (~v226(constB21)) | v168(constB21))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4197,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB21)) | v168(constB21) | (~v161(constB21)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB21)) | (~v226(constB21)) | v168(constB21)))),
% 82.51/52.11 inference(monotonicity,[status(thm)],[4196])).
% 82.51/52.11 tff(4198,plain,
% 82.51/52.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB21)) | v168(constB21) | (~v161(constB21)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | (~v226(constB21)) | v168(constB21))),
% 82.51/52.11 inference(transitivity,[status(thm)],[4197, 4195])).
% 82.51/52.11 tff(4199,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB21)) | v168(constB21) | (~v161(constB21)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4200,plain,
% 82.51/52.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB21)) | (~v226(constB21)) | v168(constB21)),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 82.51/52.11 tff(4201,plain,
% 82.51/52.11 (~v161(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4200, 3997, 4194, 4151])).
% 82.51/52.11 tff(4202,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB21) | (~v187(constB21)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB21) | (~v187(constB21)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4203,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB21) | (~v187(constB21)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4204,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB21) | (~v187(constB21))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 82.51/52.11 tff(4205,plain,
% 82.51/52.11 (~v187(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4204, 4015, 4201])).
% 82.51/52.11 tff(4206,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB21) | (~v185(constB21)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB21) | (~v185(constB21)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4207,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB21) | (~v185(constB21)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4208,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB21) | (~v185(constB21))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4207, 4206])).
% 82.51/52.11 tff(4209,plain,
% 82.51/52.11 (~v185(constB21)),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4208, 4029, 4205])).
% 82.51/52.11 tff(4210,assumption,(v18(constB22)), introduced(assumption)).
% 82.51/52.11 tff(4211,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB22))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4212,plain,
% 82.51/52.11 ($false),
% 82.51/52.11 inference(unit_resolution,[status(thm)],[4211, 3600, 4210])).
% 82.51/52.11 tff(4213,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 82.51/52.11 tff(4214,plain,
% 82.51/52.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 82.51/52.11 inference(rewrite,[status(thm)],[])).
% 82.51/52.11 tff(4215,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 82.51/52.11 inference(quant_inst,[status(thm)],[])).
% 82.51/52.11 tff(4216,plain,
% 82.51/52.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 82.51/52.11 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 82.55/52.11 tff(4217,plain,
% 82.55/52.11 (v22(constB22)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4216, 3613, 2905])).
% 82.55/52.11 tff(4218,plain,
% 82.55/52.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 82.55/52.11 inference(rewrite,[status(thm)],[])).
% 82.55/52.11 tff(4219,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 82.55/52.11 inference(quant_inst,[status(thm)],[])).
% 82.55/52.11 tff(4220,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22))),
% 82.55/52.11 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 82.55/52.11 tff(4221,plain,
% 82.55/52.11 (v18(constB22) | (~v19(constB22))),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4220, 3627, 4217])).
% 82.55/52.11 tff(4222,plain,
% 82.55/52.11 (~v19(constB22)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4221, 4213])).
% 82.55/52.11 tff(4223,plain,
% 82.55/52.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 82.55/52.11 inference(rewrite,[status(thm)],[])).
% 82.55/52.11 tff(4224,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 82.55/52.11 inference(quant_inst,[status(thm)],[])).
% 82.55/52.11 tff(4225,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 82.55/52.11 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 82.55/52.11 tff(4226,plain,
% 82.55/52.11 (v13(constB22)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4225, 3639, 4222])).
% 82.55/52.11 tff(4227,plain,
% 82.55/52.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 82.55/52.11 inference(rewrite,[status(thm)],[])).
% 82.55/52.11 tff(4228,plain,
% 82.55/52.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 82.55/52.11 inference(quant_inst,[status(thm)],[])).
% 82.55/52.11 tff(4229,plain,
% 82.55/52.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22))),
% 82.55/52.11 inference(modus_ponens,[status(thm)],[4228, 4227])).
% 82.55/52.11 tff(4230,plain,
% 82.55/52.11 (v9(constB21) | (~v13(constB22))),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4229, 3653, 2885])).
% 82.55/52.11 tff(4231,plain,
% 82.55/52.11 (v9(constB21)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4230, 4226])).
% 82.55/52.11 tff(4232,plain,
% 82.55/52.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v184(constB21))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB21) | (~v9(constB21)) | v184(constB21))),
% 82.55/52.11 inference(rewrite,[status(thm)],[])).
% 82.55/52.11 tff(4233,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v184(constB21))),
% 82.55/52.11 inference(quant_inst,[status(thm)],[])).
% 82.55/52.11 tff(4234,plain,
% 82.55/52.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB21) | (~v9(constB21)) | v184(constB21)),
% 82.55/52.11 inference(modus_ponens,[status(thm)],[4233, 4232])).
% 82.55/52.11 tff(4235,plain,
% 82.55/52.11 ((~v9(constB21)) | v184(constB21)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4234, 3668, 2748])).
% 82.55/52.11 tff(4236,plain,
% 82.55/52.11 (v184(constB21)),
% 82.55/52.11 inference(unit_resolution,[status(thm)],[4235, 4231])).
% 82.55/52.11 tff(4237,plain,
% 82.55/52.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB21)) | v183(constB21))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB21)) | v183(constB21))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4238,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB21)) | v183(constB21))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4239,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB21)) | v183(constB21)),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 82.55/52.12 tff(4240,plain,
% 82.55/52.12 (v183(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4239, 3680, 4236])).
% 82.55/52.12 tff(4241,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl(((~v181(VarCurr)) | (~v183(VarCurr))) <=> ((~v181(VarCurr)) | (~v183(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4242,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4241])).
% 82.55/52.12 tff(4243,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4244,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_3')).
% 82.55/52.12 tff(4245,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 82.55/52.12 tff(4246,plain,(
% 82.55/52.12 ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4245])).
% 82.55/52.12 tff(4247,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4246, 4242])).
% 82.55/52.12 tff(4248,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB21)) | (~v183(constB21)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB21)) | (~v183(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4249,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB21)) | (~v183(constB21)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4250,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB21)) | (~v183(constB21))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 82.55/52.12 tff(4251,plain,
% 82.55/52.12 (~v181(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4250, 4247, 4240])).
% 82.55/52.12 tff(4252,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4253,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4252])).
% 82.55/52.12 tff(4254,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4255,plain,
% 82.55/52.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v178(VarCurr)) | v181(VarCurr)) <=> (v181(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)))), rewrite(((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4256,plain,
% 82.55/52.12 (![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4255])).
% 82.55/52.12 tff(4257,axiom,(![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_3')).
% 82.55/52.12 tff(4258,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4257, 4256])).
% 82.55/52.12 tff(4259,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4258, 4254])).
% 82.55/52.12 tff(4260,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4259])).
% 82.55/52.12 tff(4261,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4260, 4253])).
% 82.55/52.12 tff(4262,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB21) | v185(constB21) | (~v178(constB21)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB21) | v185(constB21) | (~v178(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4263,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB21) | v185(constB21) | (~v178(constB21)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4264,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB21) | v185(constB21) | (~v178(constB21))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 82.55/52.12 tff(4265,plain,
% 82.55/52.12 (v185(constB21) | (~v178(constB21))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4264, 4261, 4251])).
% 82.55/52.12 tff(4266,plain,
% 82.55/52.12 (~v178(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4265, 4209])).
% 82.55/52.12 tff(4267,plain,
% 82.55/52.12 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4268,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4267])).
% 82.55/52.12 tff(4269,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4270,plain,
% 82.55/52.12 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4271,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4270])).
% 82.55/52.12 tff(4272,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 82.55/52.12 tff(4273,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 82.55/52.12 tff(4274,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4273, 4269])).
% 82.55/52.12 tff(4275,plain,(
% 82.55/52.12 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4274])).
% 82.55/52.12 tff(4276,plain,
% 82.55/52.12 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4275, 4268])).
% 82.55/52.12 tff(4277,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4278,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4279,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB21, constB22)) | v178(constB21) | (~v180(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 82.55/52.12 tff(4280,plain,
% 82.55/52.12 (v178(constB21) | (~v180(constB22))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4279, 4276, 2885])).
% 82.55/52.12 tff(4281,plain,
% 82.55/52.12 (~v180(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4280, 4266])).
% 82.55/52.12 tff(4282,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v181(VarCurr))) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4283,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4282])).
% 82.55/52.12 tff(4284,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4285,plain,
% 82.55/52.12 (^[VarCurr: state_type] : rewrite(((~v181(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4286,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4285])).
% 82.55/52.12 tff(4287,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 82.55/52.12 tff(4288,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 82.55/52.12 tff(4289,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4288, 4284])).
% 82.55/52.12 tff(4290,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4289])).
% 82.55/52.12 tff(4291,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4290, 4283])).
% 82.55/52.12 tff(4292,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB22) | (~v181(constB22)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB22) | (~v181(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4293,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB22) | (~v181(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4294,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB22) | (~v181(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 82.55/52.12 tff(4295,plain,
% 82.55/52.12 (~v181(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4294, 4291, 4281])).
% 82.55/52.12 tff(4296,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB22)) | (~v184(constB22)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB22)) | (~v184(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4297,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB22)) | (~v184(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4298,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB22)) | (~v184(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 82.55/52.12 tff(4299,plain,
% 82.55/52.12 (~v184(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4298, 3901, 2905])).
% 82.55/52.12 tff(4300,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v187(VarCurr))) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4301,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4300])).
% 82.55/52.12 tff(4302,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4303,plain,
% 82.55/52.12 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4304,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4303])).
% 82.55/52.12 tff(4305,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_2')).
% 82.55/52.12 tff(4306,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 82.55/52.12 tff(4307,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4306, 4302])).
% 82.55/52.12 tff(4308,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4307])).
% 82.55/52.12 tff(4309,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4308, 4301])).
% 82.55/52.12 tff(4310,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB22) | (~v187(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB22) | (~v187(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4311,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB22) | (~v187(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4312,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB22) | (~v187(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 82.55/52.12 tff(4313,plain,
% 82.55/52.12 (~v187(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4312, 4309, 4299])).
% 82.55/52.12 tff(4314,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB22) | (~v185(constB22)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB22) | (~v185(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4315,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB22) | (~v185(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4316,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB22) | (~v185(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4315, 4314])).
% 82.55/52.12 tff(4317,plain,
% 82.55/52.12 (~v185(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4316, 4029, 4313])).
% 82.55/52.12 tff(4318,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB22) | v185(constB22) | (~v178(constB22)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB22) | v185(constB22) | (~v178(constB22)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4319,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB22) | v185(constB22) | (~v178(constB22)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4320,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB22) | v185(constB22) | (~v178(constB22))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 82.55/52.12 tff(4321,plain,
% 82.55/52.12 (v181(constB22) | (~v178(constB22))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4320, 4261, 4317])).
% 82.55/52.12 tff(4322,plain,
% 82.55/52.12 (~v178(constB22)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4321, 4295])).
% 82.55/52.12 tff(4323,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4324,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4325,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB22, constB23)) | v178(constB22) | (~v180(constB23))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4324, 4323])).
% 82.55/52.12 tff(4326,plain,
% 82.55/52.12 (v178(constB22) | (~v180(constB23))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4325, 4276, 2947])).
% 82.55/52.12 tff(4327,plain,
% 82.55/52.12 (~v180(constB23)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4326, 4322])).
% 82.55/52.12 tff(4328,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB23) | (~v181(constB23)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB23) | (~v181(constB23)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4329,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB23) | (~v181(constB23)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4330,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB23) | (~v181(constB23))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 82.55/52.12 tff(4331,plain,
% 82.55/52.12 (~v181(constB23)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4330, 4291, 4327])).
% 82.55/52.12 tff(4332,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB23) | v185(constB23) | (~v178(constB23)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB23) | v185(constB23) | (~v178(constB23)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4333,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB23) | v185(constB23) | (~v178(constB23)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4334,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB23) | v185(constB23) | (~v178(constB23))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 82.55/52.12 tff(4335,plain,
% 82.55/52.12 (v185(constB23) | (~v178(constB23))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4334, 4261, 4331])).
% 82.55/52.12 tff(4336,plain,
% 82.55/52.12 (~v178(constB23)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4335, 4128])).
% 82.55/52.12 tff(4337,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4338,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4339,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB23, constB24)) | v178(constB23) | (~v180(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 82.55/52.12 tff(4340,plain,
% 82.55/52.12 (v178(constB23) | (~v180(constB24))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4339, 4276, 3069])).
% 82.55/52.12 tff(4341,plain,
% 82.55/52.12 (~v180(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4340, 4336])).
% 82.55/52.12 tff(4342,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB24) | (~v181(constB24)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB24) | (~v181(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4343,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB24) | (~v181(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4344,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB24) | (~v181(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 82.55/52.12 tff(4345,plain,
% 82.55/52.12 (~v181(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4344, 4291, 4341])).
% 82.55/52.12 tff(4346,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB24)) | (~v184(constB24)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB24)) | (~v184(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4347,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB24)) | (~v184(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4348,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB24)) | (~v184(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 82.55/52.12 tff(4349,plain,
% 82.55/52.12 (~v184(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4348, 3901, 3089])).
% 82.55/52.12 tff(4350,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB24) | (~v187(constB24)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB24) | (~v187(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4351,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB24) | (~v187(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4352,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB24) | (~v187(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 82.55/52.12 tff(4353,plain,
% 82.55/52.12 (~v187(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4352, 4309, 4349])).
% 82.55/52.12 tff(4354,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB24) | (~v185(constB24)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB24) | (~v185(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4355,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB24) | (~v185(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4356,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB24) | (~v185(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4355, 4354])).
% 82.55/52.12 tff(4357,plain,
% 82.55/52.12 (~v185(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4356, 4029, 4353])).
% 82.55/52.12 tff(4358,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB24) | v185(constB24) | (~v178(constB24)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB24) | v185(constB24) | (~v178(constB24)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4359,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB24) | v185(constB24) | (~v178(constB24)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4360,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB24) | v185(constB24) | (~v178(constB24))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 82.55/52.12 tff(4361,plain,
% 82.55/52.12 (v181(constB24) | (~v178(constB24))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4360, 4261, 4357])).
% 82.55/52.12 tff(4362,plain,
% 82.55/52.12 (~v178(constB24)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4361, 4345])).
% 82.55/52.12 tff(4363,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4364,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4365,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB24, constB25)) | v178(constB24) | (~v180(constB25))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 82.55/52.12 tff(4366,plain,
% 82.55/52.12 (v178(constB24) | (~v180(constB25))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4365, 4276, 3131])).
% 82.55/52.12 tff(4367,plain,
% 82.55/52.12 (~v180(constB25)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4366, 4362])).
% 82.55/52.12 tff(4368,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB25) | (~v181(constB25)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB25) | (~v181(constB25)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4369,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB25) | (~v181(constB25)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4370,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB25) | (~v181(constB25))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 82.55/52.12 tff(4371,plain,
% 82.55/52.12 (~v181(constB25)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4370, 4291, 4367])).
% 82.55/52.12 tff(4372,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4373,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB25) | v185(constB25) | (~v178(constB25)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4374,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB25) | v185(constB25) | (~v178(constB25))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 82.55/52.12 tff(4375,plain,
% 82.55/52.12 (v185(constB25) | (~v178(constB25))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4374, 4261, 4371])).
% 82.55/52.12 tff(4376,plain,
% 82.55/52.12 (~v178(constB25)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4375, 4033])).
% 82.55/52.12 tff(4377,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4378,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4379,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB25, constB26)) | v178(constB25) | (~v180(constB26))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 82.55/52.12 tff(4380,plain,
% 82.55/52.12 (v178(constB25) | (~v180(constB26))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4379, 4276, 3246])).
% 82.55/52.12 tff(4381,plain,
% 82.55/52.12 (~v180(constB26)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4380, 4376])).
% 82.55/52.12 tff(4382,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4383,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB26) | (~v181(constB26)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4384,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB26) | (~v181(constB26))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4383, 4382])).
% 82.55/52.12 tff(4385,plain,
% 82.55/52.12 (~v181(constB26)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4384, 4291, 4381])).
% 82.55/52.12 tff(4386,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4387,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB26) | (~v187(constB26)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4388,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB26) | (~v187(constB26))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 82.55/52.12 tff(4389,plain,
% 82.55/52.12 (~v187(constB26)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4388, 4309, 3905])).
% 82.55/52.12 tff(4390,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4391,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB26) | (~v185(constB26)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4392,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB26) | (~v185(constB26))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 82.55/52.12 tff(4393,plain,
% 82.55/52.12 (~v185(constB26)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4392, 4029, 4389])).
% 82.55/52.12 tff(4394,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4395,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB26) | v185(constB26) | (~v178(constB26)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4396,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB26) | v185(constB26) | (~v178(constB26))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 82.55/52.12 tff(4397,plain,
% 82.55/52.12 (v181(constB26) | (~v178(constB26))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4396, 4261, 4393])).
% 82.55/52.12 tff(4398,plain,
% 82.55/52.12 (~v178(constB26)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4397, 4385])).
% 82.55/52.12 tff(4399,plain,
% 82.55/52.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4400,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4401,plain,
% 82.55/52.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB26, constB27)) | v178(constB26) | (~v180(constB27))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 82.55/52.12 tff(4402,plain,
% 82.55/52.12 (v178(constB26) | (~v180(constB27))),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4401, 4276, 3332])).
% 82.55/52.12 tff(4403,plain,
% 82.55/52.12 (~v180(constB27)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4402, 4398])).
% 82.55/52.12 tff(4404,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v293(VarCurr))) <=> (v180(VarCurr) | (~v293(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4405,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4404])).
% 82.55/52.12 tff(4406,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4407,plain,
% 82.55/52.12 (^[VarCurr: state_type] : rewrite(((~v293(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v293(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4408,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v293(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4407])).
% 82.55/52.12 tff(4409,axiom,(![VarCurr: state_type] : ((~v293(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_83_1_1_1_2')).
% 82.55/52.12 tff(4410,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 82.55/52.12 tff(4411,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4410, 4406])).
% 82.55/52.12 tff(4412,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4411])).
% 82.55/52.12 tff(4413,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4412, 4405])).
% 82.55/52.12 tff(4414,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB27) | (~v293(constB27)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB27) | (~v293(constB27)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4415,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB27) | (~v293(constB27)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4416,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB27) | (~v293(constB27))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 82.55/52.12 tff(4417,plain,
% 82.55/52.12 (~v293(constB27)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4416, 4413, 4403])).
% 82.55/52.12 tff(4418,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v215(VarCurr))) <=> (v180(VarCurr) | (~v215(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4419,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4418])).
% 82.55/52.12 tff(4420,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4421,plain,
% 82.55/52.12 (^[VarCurr: state_type] : rewrite(((~v215(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v215(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4422,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v215(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4421])).
% 82.55/52.12 tff(4423,axiom,(![VarCurr: state_type] : ((~v215(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_3')).
% 82.55/52.12 tff(4424,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 82.55/52.12 tff(4425,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4424, 4420])).
% 82.55/52.12 tff(4426,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4425])).
% 82.55/52.12 tff(4427,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4426, 4419])).
% 82.55/52.12 tff(4428,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB25) | (~v215(constB25)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB25) | (~v215(constB25)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4429,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB25) | (~v215(constB25)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4430,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB25) | (~v215(constB25))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 82.55/52.12 tff(4431,plain,
% 82.55/52.12 (~v215(constB25)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4430, 4427, 4367])).
% 82.55/52.12 tff(4432,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4433,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4432])).
% 82.55/52.12 tff(4434,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4435,plain,
% 82.55/52.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v229(VarCurr)) | v139(VarCurr)) <=> (v139(VarCurr) | (~v229(VarCurr)))), ((((~v229(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ((v139(VarCurr) | (~v229(VarCurr))) | v140(VarCurr)))), rewrite(((v139(VarCurr) | (~v229(VarCurr))) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))), ((((~v229(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4436,plain,
% 82.55/52.12 (![VarCurr: state_type] : (((~v229(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4435])).
% 82.55/52.12 tff(4437,axiom,(![VarCurr: state_type] : (((~v229(VarCurr)) | v139(VarCurr)) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_3')).
% 82.55/52.12 tff(4438,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 82.55/52.12 tff(4439,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4438, 4434])).
% 82.55/52.12 tff(4440,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4439])).
% 82.55/52.12 tff(4441,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4440, 4433])).
% 82.55/52.12 tff(4442,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v229(constB21)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB21) | v140(constB21) | (~v229(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4443,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB21) | v140(constB21) | (~v229(constB21)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4444,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB21) | v140(constB21) | (~v229(constB21))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 82.55/52.12 tff(4445,plain,
% 82.55/52.12 (~v229(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4444, 4441, 4147, 4143])).
% 82.55/52.12 tff(4446,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v141(VarCurr)) | (~v88(VarCurr, 2))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4447,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4446])).
% 82.55/52.12 tff(4448,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4449,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 82.55/52.12 tff(4450,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 82.55/52.12 tff(4451,plain,(
% 82.55/52.12 ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4450])).
% 82.55/52.12 tff(4452,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4451, 4447])).
% 82.55/52.12 tff(4453,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB21)) | (~v88(constB21, 2)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4454,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB21)) | (~v88(constB21, 2)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4455,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB21)) | (~v88(constB21, 2))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4454, 4453])).
% 82.55/52.12 tff(4456,plain,
% 82.55/52.12 (~v141(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4455, 4452, 4132])).
% 82.55/52.12 tff(4457,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4458,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4457])).
% 82.55/52.12 tff(4459,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4460,plain,
% 82.55/52.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v228(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v228(VarCurr)))), ((((~v228(VarCurr)) | v141(VarCurr)) | v229(VarCurr)) <=> ((v141(VarCurr) | (~v228(VarCurr))) | v229(VarCurr)))), rewrite(((v141(VarCurr) | (~v228(VarCurr))) | v229(VarCurr)) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))), ((((~v228(VarCurr)) | v141(VarCurr)) | v229(VarCurr)) <=> (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4461,plain,
% 82.55/52.12 (![VarCurr: state_type] : (((~v228(VarCurr)) | v141(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4460])).
% 82.55/52.12 tff(4462,axiom,(![VarCurr: state_type] : (((~v228(VarCurr)) | v141(VarCurr)) | v229(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_3')).
% 82.55/52.12 tff(4463,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4462, 4461])).
% 82.55/52.12 tff(4464,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4463, 4459])).
% 82.55/52.12 tff(4465,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4464])).
% 82.55/52.12 tff(4466,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4465, 4458])).
% 82.55/52.12 tff(4467,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB21) | (~v228(constB21)) | v229(constB21))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB21) | (~v228(constB21)) | v229(constB21))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4468,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB21) | (~v228(constB21)) | v229(constB21))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4469,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB21) | (~v228(constB21)) | v229(constB21)),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 82.55/52.12 tff(4470,plain,
% 82.55/52.12 ((~v228(constB21)) | v229(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4469, 4466, 4456])).
% 82.55/52.12 tff(4471,plain,
% 82.55/52.12 (~v228(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4470, 4445])).
% 82.55/52.12 tff(4472,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ((~v144(VarCurr)) | v88(VarCurr, 1)))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4473,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4472])).
% 82.55/52.12 tff(4474,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4475,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_3')).
% 82.55/52.12 tff(4476,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 82.55/52.12 tff(4477,plain,(
% 82.55/52.12 ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4476])).
% 82.55/52.12 tff(4478,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4477, 4473])).
% 82.55/52.12 tff(4479,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB21)) | v88(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB21)) | v88(constB21, 1))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4480,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB21)) | v88(constB21, 1))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4481,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB21)) | v88(constB21, 1)),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 82.55/52.12 tff(4482,plain,
% 82.55/52.12 (~v144(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4481, 4478, 4155])).
% 82.55/52.12 tff(4483,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v143(VarCurr)) | (~v88(VarCurr, 2))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4484,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4483])).
% 82.55/52.12 tff(4485,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4486,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_3')).
% 82.55/52.12 tff(4487,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 82.55/52.12 tff(4488,plain,(
% 82.55/52.12 ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4487])).
% 82.55/52.12 tff(4489,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4488, 4484])).
% 82.55/52.12 tff(4490,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB21)) | (~v88(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB21)) | (~v88(constB21, 2)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4491,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB21)) | (~v88(constB21, 2)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4492,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB21)) | (~v88(constB21, 2))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 82.55/52.12 tff(4493,plain,
% 82.55/52.12 (~v143(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4492, 4489, 4132])).
% 82.55/52.12 tff(4494,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4495,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4494])).
% 82.55/52.12 tff(4496,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4497,plain,
% 82.55/52.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v142(VarCurr)) | v143(VarCurr)) <=> (v143(VarCurr) | (~v142(VarCurr)))), ((((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> ((v143(VarCurr) | (~v142(VarCurr))) | v144(VarCurr)))), rewrite(((v143(VarCurr) | (~v142(VarCurr))) | v144(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))), ((((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4498,plain,
% 82.55/52.12 (![VarCurr: state_type] : (((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4497])).
% 82.55/52.12 tff(4499,axiom,(![VarCurr: state_type] : (((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 82.55/52.12 tff(4500,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 82.55/52.12 tff(4501,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4500, 4496])).
% 82.55/52.12 tff(4502,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4501])).
% 82.55/52.12 tff(4503,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4502, 4495])).
% 82.55/52.12 tff(4504,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB21) | v144(constB21) | (~v142(constB21)))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB21) | v144(constB21) | (~v142(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4505,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB21) | v144(constB21) | (~v142(constB21)))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4506,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB21) | v144(constB21) | (~v142(constB21))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 82.55/52.12 tff(4507,plain,
% 82.55/52.12 (~v142(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4506, 4503, 4493, 4482])).
% 82.55/52.12 tff(4508,plain,
% 82.55/52.12 (^[VarCurr: state_type] : refl((v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr)) <=> (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr)))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4509,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4508])).
% 82.55/52.12 tff(4510,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4511,plain,
% 82.55/52.12 (^[VarCurr: state_type] : rewrite(((v142(VarCurr) | v228(VarCurr)) | (~v148(VarCurr))) <=> (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr)))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4512,plain,
% 82.55/52.12 (![VarCurr: state_type] : ((v142(VarCurr) | v228(VarCurr)) | (~v148(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4511])).
% 82.55/52.12 tff(4513,axiom,(![VarCurr: state_type] : ((v142(VarCurr) | v228(VarCurr)) | (~v148(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1_1')).
% 82.55/52.12 tff(4514,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 82.55/52.12 tff(4515,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4514, 4510])).
% 82.55/52.12 tff(4516,plain,(
% 82.55/52.12 ![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(skolemize,[status(sab)],[4515])).
% 82.55/52.12 tff(4517,plain,
% 82.55/52.12 (![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4516, 4509])).
% 82.55/52.12 tff(4518,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | (v142(constB21) | v228(constB21) | (~v148(constB21)))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | v142(constB21) | v228(constB21) | (~v148(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4519,plain,
% 82.55/52.12 ((v142(constB21) | (~v148(constB21)) | v228(constB21)) <=> (v142(constB21) | v228(constB21) | (~v148(constB21)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4520,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | (v142(constB21) | (~v148(constB21)) | v228(constB21))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | (v142(constB21) | v228(constB21) | (~v148(constB21))))),
% 82.55/52.12 inference(monotonicity,[status(thm)],[4519])).
% 82.55/52.12 tff(4521,plain,
% 82.55/52.12 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | (v142(constB21) | (~v148(constB21)) | v228(constB21))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | v142(constB21) | v228(constB21) | (~v148(constB21)))),
% 82.55/52.12 inference(transitivity,[status(thm)],[4520, 4518])).
% 82.55/52.12 tff(4522,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | (v142(constB21) | (~v148(constB21)) | v228(constB21))),
% 82.55/52.12 inference(quant_inst,[status(thm)],[])).
% 82.55/52.12 tff(4523,plain,
% 82.55/52.12 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v148(VarCurr)) | v228(VarCurr))) | v142(constB21) | v228(constB21) | (~v148(constB21))),
% 82.55/52.12 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 82.55/52.12 tff(4524,plain,
% 82.55/52.12 (~v148(constB21)),
% 82.55/52.12 inference(unit_resolution,[status(thm)],[4523, 4517, 4507, 4471])).
% 82.55/52.12 tff(4525,plain,
% 82.55/52.12 (^[VarNext: state_type] : refl((v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext))) <=> (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4526,plain,
% 82.55/52.12 (![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext))) <=> ![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4525])).
% 82.55/52.12 tff(4527,plain,
% 82.55/52.12 (![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext))) <=> ![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.12 inference(rewrite,[status(thm)],[])).
% 82.55/52.12 tff(4528,plain,
% 82.55/52.12 (^[VarNext: state_type] : rewrite((((~v226(VarNext)) | (~v86(VarNext))) | v148(VarNext)) <=> (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext))))),
% 82.55/52.12 inference(bind,[status(th)],[])).
% 82.55/52.12 tff(4529,plain,
% 82.55/52.12 (![VarNext: state_type] : (((~v226(VarNext)) | (~v86(VarNext))) | v148(VarNext)) <=> ![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.12 inference(quant_intro,[status(thm)],[4528])).
% 82.55/52.12 tff(4530,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v86(VarNext))) | v148(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_2')).
% 82.55/52.13 tff(4531,plain,
% 82.55/52.13 (![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 82.55/52.13 tff(4532,plain,
% 82.55/52.13 (![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4531, 4527])).
% 82.55/52.13 tff(4533,plain,(
% 82.55/52.13 ![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4532])).
% 82.55/52.13 tff(4534,plain,
% 82.55/52.13 (![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4533, 4526])).
% 82.55/52.13 tff(4535,plain,
% 82.55/52.13 (((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | ((~v86(constB21)) | (~v226(constB21)) | v148(constB21))) <=> ((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (~v86(constB21)) | (~v226(constB21)) | v148(constB21))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4536,plain,
% 82.55/52.13 ((v148(constB21) | (~v86(constB21)) | (~v226(constB21))) <=> ((~v86(constB21)) | (~v226(constB21)) | v148(constB21))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4537,plain,
% 82.55/52.13 (((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (v148(constB21) | (~v86(constB21)) | (~v226(constB21)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | ((~v86(constB21)) | (~v226(constB21)) | v148(constB21)))),
% 82.55/52.13 inference(monotonicity,[status(thm)],[4536])).
% 82.55/52.13 tff(4538,plain,
% 82.55/52.13 (((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (v148(constB21) | (~v86(constB21)) | (~v226(constB21)))) <=> ((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (~v86(constB21)) | (~v226(constB21)) | v148(constB21))),
% 82.55/52.13 inference(transitivity,[status(thm)],[4537, 4535])).
% 82.55/52.13 tff(4539,plain,
% 82.55/52.13 ((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (v148(constB21) | (~v86(constB21)) | (~v226(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4540,plain,
% 82.55/52.13 ((~![VarNext: state_type] : (v148(VarNext) | (~v86(VarNext)) | (~v226(VarNext)))) | (~v86(constB21)) | (~v226(constB21)) | v148(constB21)),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 82.55/52.13 tff(4541,plain,
% 82.55/52.13 (~v86(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4540, 4534, 4194, 4524])).
% 82.55/52.13 tff(4542,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v86(VarCurr) | (~v217(VarCurr))) <=> (v86(VarCurr) | (~v217(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4543,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4542])).
% 82.55/52.13 tff(4544,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4545,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v217(VarCurr)) | v86(VarCurr)) <=> (v86(VarCurr) | (~v217(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4546,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v217(VarCurr)) | v86(VarCurr)) <=> ![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4545])).
% 82.55/52.13 tff(4547,axiom,(![VarCurr: state_type] : ((~v217(VarCurr)) | v86(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_3')).
% 82.55/52.13 tff(4548,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4547, 4546])).
% 82.55/52.13 tff(4549,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4548, 4544])).
% 82.55/52.13 tff(4550,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4549])).
% 82.55/52.13 tff(4551,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4550, 4543])).
% 82.55/52.13 tff(4552,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB21) | (~v217(constB21)))) <=> ((~![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB21) | (~v217(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4553,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))) | (v86(constB21) | (~v217(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4554,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v86(VarCurr) | (~v217(VarCurr)))) | v86(constB21) | (~v217(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 82.55/52.13 tff(4555,plain,
% 82.55/52.13 (~v217(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4554, 4551, 4541])).
% 82.55/52.13 tff(4556,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v217(VarCurr) | (~v216(VarCurr))) <=> (v217(VarCurr) | (~v216(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4557,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr))) <=> ![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4556])).
% 82.55/52.13 tff(4558,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr))) <=> ![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4559,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v216(VarCurr)) | v217(VarCurr)) <=> (v217(VarCurr) | (~v216(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4560,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v216(VarCurr)) | v217(VarCurr)) <=> ![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4559])).
% 82.55/52.13 tff(4561,axiom,(![VarCurr: state_type] : ((~v216(VarCurr)) | v217(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_2')).
% 82.55/52.13 tff(4562,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 82.55/52.13 tff(4563,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4562, 4558])).
% 82.55/52.13 tff(4564,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4563])).
% 82.55/52.13 tff(4565,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4564, 4557])).
% 82.55/52.13 tff(4566,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB21) | (~v216(constB21)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB21) | (~v216(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4567,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB21) | (~v216(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4568,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB21) | (~v216(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 82.55/52.13 tff(4569,plain,
% 82.55/52.13 (~v216(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4568, 4565, 4555])).
% 82.55/52.13 tff(4570,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v216(VarCurr) | (~v215(VarCurr))) <=> (v216(VarCurr) | (~v215(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4571,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4570])).
% 82.55/52.13 tff(4572,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4573,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v215(VarCurr)) | v216(VarCurr)) <=> (v216(VarCurr) | (~v215(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4574,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v215(VarCurr)) | v216(VarCurr)) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4573])).
% 82.55/52.13 tff(4575,axiom,(![VarCurr: state_type] : ((~v215(VarCurr)) | v216(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_2')).
% 82.55/52.13 tff(4576,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 82.55/52.13 tff(4577,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4576, 4572])).
% 82.55/52.13 tff(4578,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4577])).
% 82.55/52.13 tff(4579,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4578, 4571])).
% 82.55/52.13 tff(4580,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB21) | (~v215(constB21)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB21) | (~v215(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4581,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB21) | (~v215(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4582,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB21) | (~v215(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 82.55/52.13 tff(4583,plain,
% 82.55/52.13 (~v215(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4582, 4579, 4569])).
% 82.55/52.13 tff(4584,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v214(VarCurr))) <=> ((~v183(VarCurr)) | (~v214(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4585,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4584])).
% 82.55/52.13 tff(4586,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4587,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v214(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v214(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4588,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v214(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4587])).
% 82.55/52.13 tff(4589,axiom,(![VarCurr: state_type] : ((~v214(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_3')).
% 82.55/52.13 tff(4590,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 82.55/52.13 tff(4591,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4590, 4586])).
% 82.55/52.13 tff(4592,plain,(
% 82.55/52.13 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4591])).
% 82.55/52.13 tff(4593,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4592, 4585])).
% 82.55/52.13 tff(4594,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB21)) | (~v214(constB21)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB21)) | (~v214(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4595,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB21)) | (~v214(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4596,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB21)) | (~v214(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 82.55/52.13 tff(4597,plain,
% 82.55/52.13 (~v214(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4596, 4593, 4240])).
% 82.55/52.13 tff(4598,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4599,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4598])).
% 82.55/52.13 tff(4600,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4601,plain,
% 82.55/52.13 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v211(VarCurr)) | v214(VarCurr)) <=> (v214(VarCurr) | (~v211(VarCurr)))), ((((~v211(VarCurr)) | v214(VarCurr)) | v215(VarCurr)) <=> ((v214(VarCurr) | (~v211(VarCurr))) | v215(VarCurr)))), rewrite(((v214(VarCurr) | (~v211(VarCurr))) | v215(VarCurr)) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))), ((((~v211(VarCurr)) | v214(VarCurr)) | v215(VarCurr)) <=> (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4602,plain,
% 82.55/52.13 (![VarCurr: state_type] : (((~v211(VarCurr)) | v214(VarCurr)) | v215(VarCurr)) <=> ![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4601])).
% 82.55/52.13 tff(4603,axiom,(![VarCurr: state_type] : (((~v211(VarCurr)) | v214(VarCurr)) | v215(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_3')).
% 82.55/52.13 tff(4604,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 82.55/52.13 tff(4605,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4604, 4600])).
% 82.55/52.13 tff(4606,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4605])).
% 82.55/52.13 tff(4607,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4606, 4599])).
% 82.55/52.13 tff(4608,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB21) | v215(constB21) | (~v211(constB21)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB21) | v215(constB21) | (~v211(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4609,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB21) | v215(constB21) | (~v211(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4610,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB21) | v215(constB21) | (~v211(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 82.55/52.13 tff(4611,plain,
% 82.55/52.13 (v215(constB21) | (~v211(constB21))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4610, 4607, 4597])).
% 82.55/52.13 tff(4612,plain,
% 82.55/52.13 (~v211(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4611, 4583])).
% 82.55/52.13 tff(4613,plain,
% 82.55/52.13 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4614,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4613])).
% 82.55/52.13 tff(4615,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4616,plain,
% 82.55/52.13 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v213(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4617,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4616])).
% 82.55/52.13 tff(4618,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v213(VarNext))) | v211(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_13_1_2')).
% 82.55/52.13 tff(4619,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 82.55/52.13 tff(4620,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4619, 4615])).
% 82.55/52.13 tff(4621,plain,(
% 82.55/52.13 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4620])).
% 82.55/52.13 tff(4622,plain,
% 82.55/52.13 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4621, 4614])).
% 82.55/52.13 tff(4623,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB21, constB22)) | v211(constB21) | (~v213(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB21, constB22)) | v211(constB21) | (~v213(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4624,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB21, constB22)) | v211(constB21) | (~v213(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4625,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB21, constB22)) | v211(constB21) | (~v213(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 82.55/52.13 tff(4626,plain,
% 82.55/52.13 (v211(constB21) | (~v213(constB22))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4625, 4622, 2885])).
% 82.55/52.13 tff(4627,plain,
% 82.55/52.13 (~v213(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4626, 4612])).
% 82.55/52.13 tff(4628,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v213(VarCurr) | (~v214(VarCurr))) <=> (v213(VarCurr) | (~v214(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4629,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4628])).
% 82.55/52.13 tff(4630,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4631,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v214(VarCurr)) | v213(VarCurr)) <=> (v213(VarCurr) | (~v214(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4632,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v214(VarCurr)) | v213(VarCurr)) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4631])).
% 82.55/52.13 tff(4633,axiom,(![VarCurr: state_type] : ((~v214(VarCurr)) | v213(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_2')).
% 82.55/52.13 tff(4634,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4633, 4632])).
% 82.55/52.13 tff(4635,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4634, 4630])).
% 82.55/52.13 tff(4636,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4635])).
% 82.55/52.13 tff(4637,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4636, 4629])).
% 82.55/52.13 tff(4638,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB22) | (~v214(constB22)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB22) | (~v214(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4639,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB22) | (~v214(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4640,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB22) | (~v214(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 82.55/52.13 tff(4641,plain,
% 82.55/52.13 (~v214(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4640, 4637, 4627])).
% 82.55/52.13 tff(4642,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v217(VarCurr))) <=> (v184(VarCurr) | (~v217(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4643,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4642])).
% 82.55/52.13 tff(4644,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4645,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v217(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v217(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4646,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v217(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4645])).
% 82.55/52.13 tff(4647,axiom,(![VarCurr: state_type] : ((~v217(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_2')).
% 82.55/52.13 tff(4648,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4647, 4646])).
% 82.55/52.13 tff(4649,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4648, 4644])).
% 82.55/52.13 tff(4650,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4649])).
% 82.55/52.13 tff(4651,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4650, 4643])).
% 82.55/52.13 tff(4652,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB22) | (~v217(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB22) | (~v217(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4653,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB22) | (~v217(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4654,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB22) | (~v217(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 82.55/52.13 tff(4655,plain,
% 82.55/52.13 (~v217(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4654, 4651, 4299])).
% 82.55/52.13 tff(4656,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB22) | (~v216(constB22)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB22) | (~v216(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4657,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB22) | (~v216(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4658,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB22) | (~v216(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 82.55/52.13 tff(4659,plain,
% 82.55/52.13 (~v216(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4658, 4565, 4655])).
% 82.55/52.13 tff(4660,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB22) | (~v215(constB22)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB22) | (~v215(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4661,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB22) | (~v215(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4662,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB22) | (~v215(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 82.55/52.13 tff(4663,plain,
% 82.55/52.13 (~v215(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4662, 4579, 4659])).
% 82.55/52.13 tff(4664,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB22) | v215(constB22) | (~v211(constB22)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB22) | v215(constB22) | (~v211(constB22)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4665,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB22) | v215(constB22) | (~v211(constB22)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4666,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB22) | v215(constB22) | (~v211(constB22))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 82.55/52.13 tff(4667,plain,
% 82.55/52.13 (v214(constB22) | (~v211(constB22))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4666, 4607, 4663])).
% 82.55/52.13 tff(4668,plain,
% 82.55/52.13 (~v211(constB22)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4667, 4641])).
% 82.55/52.13 tff(4669,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB22, constB23)) | v211(constB22) | (~v213(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB22, constB23)) | v211(constB22) | (~v213(constB23)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4670,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB22, constB23)) | v211(constB22) | (~v213(constB23)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4671,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB22, constB23)) | v211(constB22) | (~v213(constB23))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 82.55/52.13 tff(4672,plain,
% 82.55/52.13 (v211(constB22) | (~v213(constB23))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4671, 4622, 2947])).
% 82.55/52.13 tff(4673,plain,
% 82.55/52.13 (~v213(constB23)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4672, 4668])).
% 82.55/52.13 tff(4674,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB23) | (~v214(constB23)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB23) | (~v214(constB23)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4675,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB23) | (~v214(constB23)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4676,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB23) | (~v214(constB23))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 82.55/52.13 tff(4677,plain,
% 82.55/52.13 (~v214(constB23)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4676, 4637, 4673])).
% 82.55/52.13 tff(4678,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB23) | (~v215(constB23)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB23) | (~v215(constB23)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4679,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB23) | (~v215(constB23)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4680,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB23) | (~v215(constB23))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 82.55/52.13 tff(4681,plain,
% 82.55/52.13 (~v215(constB23)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4680, 4427, 4327])).
% 82.55/52.13 tff(4682,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB23) | v215(constB23) | (~v211(constB23)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB23) | v215(constB23) | (~v211(constB23)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4683,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB23) | v215(constB23) | (~v211(constB23)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4684,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB23) | v215(constB23) | (~v211(constB23))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 82.55/52.13 tff(4685,plain,
% 82.55/52.13 (v214(constB23) | (~v211(constB23))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4684, 4607, 4681])).
% 82.55/52.13 tff(4686,plain,
% 82.55/52.13 (~v211(constB23)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4685, 4677])).
% 82.55/52.13 tff(4687,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB23, constB24)) | v211(constB23) | (~v213(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB23, constB24)) | v211(constB23) | (~v213(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4688,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB23, constB24)) | v211(constB23) | (~v213(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4689,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB23, constB24)) | v211(constB23) | (~v213(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 82.55/52.13 tff(4690,plain,
% 82.55/52.13 (v211(constB23) | (~v213(constB24))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4689, 4622, 3069])).
% 82.55/52.13 tff(4691,plain,
% 82.55/52.13 (~v213(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4690, 4686])).
% 82.55/52.13 tff(4692,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB24) | (~v214(constB24)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB24) | (~v214(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4693,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB24) | (~v214(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4694,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB24) | (~v214(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4693, 4692])).
% 82.55/52.13 tff(4695,plain,
% 82.55/52.13 (~v214(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4694, 4637, 4691])).
% 82.55/52.13 tff(4696,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB24) | (~v217(constB24)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB24) | (~v217(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4697,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB24) | (~v217(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4698,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB24) | (~v217(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 82.55/52.13 tff(4699,plain,
% 82.55/52.13 (~v217(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4698, 4651, 4349])).
% 82.55/52.13 tff(4700,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB24) | (~v216(constB24)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB24) | (~v216(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4701,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB24) | (~v216(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4702,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB24) | (~v216(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4701, 4700])).
% 82.55/52.13 tff(4703,plain,
% 82.55/52.13 (~v216(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4702, 4565, 4699])).
% 82.55/52.13 tff(4704,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB24) | (~v215(constB24)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB24) | (~v215(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4705,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB24) | (~v215(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4706,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB24) | (~v215(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 82.55/52.13 tff(4707,plain,
% 82.55/52.13 (~v215(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4706, 4579, 4703])).
% 82.55/52.13 tff(4708,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB24) | v215(constB24) | (~v211(constB24)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB24) | v215(constB24) | (~v211(constB24)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4709,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB24) | v215(constB24) | (~v211(constB24)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4710,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB24) | v215(constB24) | (~v211(constB24))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4709, 4708])).
% 82.55/52.13 tff(4711,plain,
% 82.55/52.13 (v214(constB24) | (~v211(constB24))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4710, 4607, 4707])).
% 82.55/52.13 tff(4712,plain,
% 82.55/52.13 (~v211(constB24)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4711, 4695])).
% 82.55/52.13 tff(4713,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB24, constB25)) | v211(constB24) | (~v213(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB24, constB25)) | v211(constB24) | (~v213(constB25)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4714,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB24, constB25)) | v211(constB24) | (~v213(constB25)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4715,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB24, constB25)) | v211(constB24) | (~v213(constB25))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 82.55/52.13 tff(4716,plain,
% 82.55/52.13 (v211(constB24) | (~v213(constB25))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4715, 4622, 3131])).
% 82.55/52.13 tff(4717,plain,
% 82.55/52.13 (~v213(constB25)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4716, 4712])).
% 82.55/52.13 tff(4718,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB25) | (~v214(constB25)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB25) | (~v214(constB25)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4719,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB25) | (~v214(constB25)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4720,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB25) | (~v214(constB25))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 82.55/52.13 tff(4721,plain,
% 82.55/52.13 (~v214(constB25)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4720, 4637, 4717])).
% 82.55/52.13 tff(4722,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB25) | v215(constB25) | (~v211(constB25)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB25) | v215(constB25) | (~v211(constB25)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4723,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB25) | v215(constB25) | (~v211(constB25)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4724,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB25) | v215(constB25) | (~v211(constB25))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 82.55/52.13 tff(4725,plain,
% 82.55/52.13 (v215(constB25) | (~v211(constB25))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4724, 4607, 4721])).
% 82.55/52.13 tff(4726,plain,
% 82.55/52.13 (~v211(constB25)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4725, 4431])).
% 82.55/52.13 tff(4727,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB25, constB26)) | v211(constB25) | (~v213(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB25, constB26)) | v211(constB25) | (~v213(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4728,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB25, constB26)) | v211(constB25) | (~v213(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4729,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB25, constB26)) | v211(constB25) | (~v213(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 82.55/52.13 tff(4730,plain,
% 82.55/52.13 (v211(constB25) | (~v213(constB26))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4729, 4622, 3246])).
% 82.55/52.13 tff(4731,plain,
% 82.55/52.13 (~v213(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4730, 4726])).
% 82.55/52.13 tff(4732,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB26) | (~v214(constB26)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB26) | (~v214(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4733,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB26) | (~v214(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4734,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB26) | (~v214(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4733, 4732])).
% 82.55/52.13 tff(4735,plain,
% 82.55/52.13 (~v214(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4734, 4637, 4731])).
% 82.55/52.13 tff(4736,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB26) | (~v217(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB26) | (~v217(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4737,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB26) | (~v217(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4738,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB26) | (~v217(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 82.55/52.13 tff(4739,plain,
% 82.55/52.13 (~v217(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4738, 4651, 3905])).
% 82.55/52.13 tff(4740,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB26) | (~v216(constB26)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB26) | (~v216(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4741,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB26) | (~v216(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4742,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB26) | (~v216(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 82.55/52.13 tff(4743,plain,
% 82.55/52.13 (~v216(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4742, 4565, 4739])).
% 82.55/52.13 tff(4744,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB26) | (~v215(constB26)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB26) | (~v215(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4745,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB26) | (~v215(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4746,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB26) | (~v215(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 82.55/52.13 tff(4747,plain,
% 82.55/52.13 (~v215(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4746, 4579, 4743])).
% 82.55/52.13 tff(4748,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB26) | v215(constB26) | (~v211(constB26)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB26) | v215(constB26) | (~v211(constB26)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4749,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB26) | v215(constB26) | (~v211(constB26)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4750,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB26) | v215(constB26) | (~v211(constB26))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 82.55/52.13 tff(4751,plain,
% 82.55/52.13 (v214(constB26) | (~v211(constB26))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4750, 4607, 4747])).
% 82.55/52.13 tff(4752,plain,
% 82.55/52.13 (~v211(constB26)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4751, 4735])).
% 82.55/52.13 tff(4753,plain,
% 82.55/52.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB26, constB27)) | v211(constB26) | (~v213(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB26, constB27)) | v211(constB26) | (~v213(constB27)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4754,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB26, constB27)) | v211(constB26) | (~v213(constB27)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4755,plain,
% 82.55/52.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB26, constB27)) | v211(constB26) | (~v213(constB27))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 82.55/52.13 tff(4756,plain,
% 82.55/52.13 (v211(constB26) | (~v213(constB27))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4755, 4622, 3332])).
% 82.55/52.13 tff(4757,plain,
% 82.55/52.13 (~v213(constB27)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4756, 4752])).
% 82.55/52.13 tff(4758,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v213(VarCurr) | (~v297(VarCurr))) <=> (v213(VarCurr) | (~v297(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4759,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4758])).
% 82.55/52.13 tff(4760,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4761,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v297(VarCurr)) | v213(VarCurr)) <=> (v213(VarCurr) | (~v297(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4762,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v297(VarCurr)) | v213(VarCurr)) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4761])).
% 82.55/52.13 tff(4763,axiom,(![VarCurr: state_type] : ((~v297(VarCurr)) | v213(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_86_1_1_1_2')).
% 82.55/52.13 tff(4764,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 82.55/52.13 tff(4765,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4764, 4760])).
% 82.55/52.13 tff(4766,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4765])).
% 82.55/52.13 tff(4767,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4766, 4759])).
% 82.55/52.13 tff(4768,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB27) | (~v297(constB27)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB27) | (~v297(constB27)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4769,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB27) | (~v297(constB27)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4770,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB27) | (~v297(constB27))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 82.55/52.13 tff(4771,plain,
% 82.55/52.13 (~v297(constB27)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4770, 4767, 4757])).
% 82.55/52.13 tff(4772,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4773,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> ![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4772])).
% 82.55/52.13 tff(4774,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr))) <=> ![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4775,plain,
% 82.55/52.13 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v292(VarCurr)) | v293(VarCurr)) <=> (v293(VarCurr) | (~v292(VarCurr)))), ((((~v292(VarCurr)) | v293(VarCurr)) | v297(VarCurr)) <=> ((v293(VarCurr) | (~v292(VarCurr))) | v297(VarCurr)))), rewrite(((v293(VarCurr) | (~v292(VarCurr))) | v297(VarCurr)) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))), ((((~v292(VarCurr)) | v293(VarCurr)) | v297(VarCurr)) <=> (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4776,plain,
% 82.55/52.13 (![VarCurr: state_type] : (((~v292(VarCurr)) | v293(VarCurr)) | v297(VarCurr)) <=> ![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4775])).
% 82.55/52.13 tff(4777,axiom,(![VarCurr: state_type] : (((~v292(VarCurr)) | v293(VarCurr)) | v297(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_87_1_1_1')).
% 82.55/52.13 tff(4778,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 82.55/52.13 tff(4779,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4778, 4774])).
% 82.55/52.13 tff(4780,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4779])).
% 82.55/52.13 tff(4781,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4780, 4773])).
% 82.55/52.13 tff(4782,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB27) | v297(constB27) | (~v292(constB27)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB27) | v297(constB27) | (~v292(constB27)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4783,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB27) | v297(constB27) | (~v292(constB27)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4784,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB27) | v297(constB27) | (~v292(constB27))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 82.55/52.13 tff(4785,plain,
% 82.55/52.13 (v293(constB27) | (~v292(constB27))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4784, 4781, 4771])).
% 82.55/52.13 tff(4786,plain,
% 82.55/52.13 (~v292(constB27)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4785, 4417])).
% 82.55/52.13 tff(4787,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v213(VarCurr) | (~v245(VarCurr))) <=> (v213(VarCurr) | (~v245(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4788,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4787])).
% 82.55/52.13 tff(4789,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4790,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v245(VarCurr)) | v213(VarCurr)) <=> (v213(VarCurr) | (~v245(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4791,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v245(VarCurr)) | v213(VarCurr)) <=> ![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4790])).
% 82.55/52.13 tff(4792,axiom,(![VarCurr: state_type] : ((~v245(VarCurr)) | v213(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_68_1_1_3')).
% 82.55/52.13 tff(4793,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 82.55/52.13 tff(4794,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4793, 4789])).
% 82.55/52.13 tff(4795,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4794])).
% 82.55/52.13 tff(4796,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4795, 4788])).
% 82.55/52.13 tff(4797,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB25) | (~v245(constB25)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB25) | (~v245(constB25)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4798,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB25) | (~v245(constB25)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4799,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB25) | (~v245(constB25))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 82.55/52.13 tff(4800,plain,
% 82.55/52.13 (~v245(constB25)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4799, 4796, 4717])).
% 82.55/52.13 tff(4801,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB23) | (~v245(constB23)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB23) | (~v245(constB23)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4802,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB23) | (~v245(constB23)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4803,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB23) | (~v245(constB23))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4802, 4801])).
% 82.55/52.13 tff(4804,plain,
% 82.55/52.13 (~v245(constB23)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4803, 4796, 4673])).
% 82.55/52.13 tff(4805,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr)) <=> (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr)))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4806,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4805])).
% 82.55/52.13 tff(4807,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4808,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((v141(VarCurr) | v229(VarCurr)) | (~v200(VarCurr))) <=> (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr)))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4809,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((v141(VarCurr) | v229(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4808])).
% 82.55/52.13 tff(4810,axiom,(![VarCurr: state_type] : ((v141(VarCurr) | v229(VarCurr)) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_3_1_1_1')).
% 82.55/52.13 tff(4811,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 82.55/52.13 tff(4812,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4811, 4807])).
% 82.55/52.13 tff(4813,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4812])).
% 82.55/52.13 tff(4814,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4813, 4806])).
% 82.55/52.13 tff(4815,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | (v141(constB21) | v229(constB21) | (~v200(constB21)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | v141(constB21) | v229(constB21) | (~v200(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4816,plain,
% 82.55/52.13 ((v141(constB21) | (~v200(constB21)) | v229(constB21)) <=> (v141(constB21) | v229(constB21) | (~v200(constB21)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4817,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | (v141(constB21) | (~v200(constB21)) | v229(constB21))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | (v141(constB21) | v229(constB21) | (~v200(constB21))))),
% 82.55/52.13 inference(monotonicity,[status(thm)],[4816])).
% 82.55/52.13 tff(4818,plain,
% 82.55/52.13 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | (v141(constB21) | (~v200(constB21)) | v229(constB21))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | v141(constB21) | v229(constB21) | (~v200(constB21)))),
% 82.55/52.13 inference(transitivity,[status(thm)],[4817, 4815])).
% 82.55/52.13 tff(4819,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | (v141(constB21) | (~v200(constB21)) | v229(constB21))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4820,plain,
% 82.55/52.13 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v200(VarCurr)) | v229(VarCurr))) | v141(constB21) | v229(constB21) | (~v200(constB21))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4819, 4818])).
% 82.55/52.13 tff(4821,plain,
% 82.55/52.13 (v229(constB21) | (~v200(constB21))),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4820, 4814, 4456])).
% 82.55/52.13 tff(4822,plain,
% 82.55/52.13 (~v200(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4821, 4445])).
% 82.55/52.13 tff(4823,plain,
% 82.55/52.13 (^[VarNext: state_type] : refl(((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4824,plain,
% 82.55/52.13 (![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4823])).
% 82.55/52.13 tff(4825,plain,
% 82.55/52.13 (![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext))) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4826,plain,
% 82.55/52.13 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v193(VarNext))) <=> ((~v226(VarNext)) | (~v193(VarNext)))), ((((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext)) <=> (((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext)))), rewrite((((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext)) <=> ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))), ((((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext)) <=> ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4827,plain,
% 82.55/52.13 (![VarNext: state_type] : (((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4826])).
% 82.55/52.13 tff(4828,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v193(VarNext))) | v200(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_2')).
% 82.55/52.13 tff(4829,plain,
% 82.55/52.13 (![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 82.55/52.13 tff(4830,plain,
% 82.55/52.13 (![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4829, 4825])).
% 82.55/52.13 tff(4831,plain,(
% 82.55/52.13 ![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(skolemize,[status(sab)],[4830])).
% 82.55/52.13 tff(4832,plain,
% 82.55/52.13 (![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4831, 4824])).
% 82.55/52.13 tff(4833,plain,
% 82.55/52.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB21)) | (~v226(constB21)) | v200(constB21))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB21)) | (~v226(constB21)) | v200(constB21))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4834,plain,
% 82.55/52.13 (((~v226(constB21)) | v200(constB21) | (~v193(constB21))) <=> ((~v193(constB21)) | (~v226(constB21)) | v200(constB21))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4835,plain,
% 82.55/52.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB21)) | v200(constB21) | (~v193(constB21)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v193(constB21)) | (~v226(constB21)) | v200(constB21)))),
% 82.55/52.13 inference(monotonicity,[status(thm)],[4834])).
% 82.55/52.13 tff(4836,plain,
% 82.55/52.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB21)) | v200(constB21) | (~v193(constB21)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB21)) | (~v226(constB21)) | v200(constB21))),
% 82.55/52.13 inference(transitivity,[status(thm)],[4835, 4833])).
% 82.55/52.13 tff(4837,plain,
% 82.55/52.13 ((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | ((~v226(constB21)) | v200(constB21) | (~v193(constB21)))),
% 82.55/52.13 inference(quant_inst,[status(thm)],[])).
% 82.55/52.13 tff(4838,plain,
% 82.55/52.13 ((~![VarNext: state_type] : ((~v226(VarNext)) | v200(VarNext) | (~v193(VarNext)))) | (~v193(constB21)) | (~v226(constB21)) | v200(constB21)),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 82.55/52.13 tff(4839,plain,
% 82.55/52.13 (~v193(constB21)),
% 82.55/52.13 inference(unit_resolution,[status(thm)],[4838, 4832, 4194, 4822])).
% 82.55/52.13 tff(4840,plain,
% 82.55/52.13 (^[VarCurr: state_type] : refl((v193(VarCurr) | (~v247(VarCurr))) <=> (v193(VarCurr) | (~v247(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4841,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4840])).
% 82.55/52.13 tff(4842,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.13 inference(rewrite,[status(thm)],[])).
% 82.55/52.13 tff(4843,plain,
% 82.55/52.13 (^[VarCurr: state_type] : rewrite(((~v247(VarCurr)) | v193(VarCurr)) <=> (v193(VarCurr) | (~v247(VarCurr))))),
% 82.55/52.13 inference(bind,[status(th)],[])).
% 82.55/52.13 tff(4844,plain,
% 82.55/52.13 (![VarCurr: state_type] : ((~v247(VarCurr)) | v193(VarCurr)) <=> ![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.13 inference(quant_intro,[status(thm)],[4843])).
% 82.55/52.13 tff(4845,axiom,(![VarCurr: state_type] : ((~v247(VarCurr)) | v193(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_1_2')).
% 82.55/52.13 tff(4846,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 82.55/52.13 tff(4847,plain,
% 82.55/52.13 (![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.13 inference(modus_ponens,[status(thm)],[4846, 4842])).
% 82.55/52.13 tff(4848,plain,(
% 82.55/52.13 ![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.14 inference(skolemize,[status(sab)],[4847])).
% 82.55/52.14 tff(4849,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4848, 4841])).
% 82.55/52.14 tff(4850,plain,
% 82.55/52.14 (((~![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB21) | (~v247(constB21)))) <=> ((~![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB21) | (~v247(constB21)))),
% 82.55/52.14 inference(rewrite,[status(thm)],[])).
% 82.55/52.14 tff(4851,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))) | (v193(constB21) | (~v247(constB21)))),
% 82.55/52.14 inference(quant_inst,[status(thm)],[])).
% 82.55/52.14 tff(4852,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v193(VarCurr) | (~v247(VarCurr)))) | v193(constB21) | (~v247(constB21))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 82.55/52.14 tff(4853,plain,
% 82.55/52.14 (~v247(constB21)),
% 82.55/52.14 inference(unit_resolution,[status(thm)],[4852, 4849, 4839])).
% 82.55/52.14 tff(4854,plain,
% 82.55/52.14 (^[VarCurr: state_type] : refl((v247(VarCurr) | (~v246(VarCurr))) <=> (v247(VarCurr) | (~v246(VarCurr))))),
% 82.55/52.14 inference(bind,[status(th)],[])).
% 82.55/52.14 tff(4855,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr))) <=> ![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(quant_intro,[status(thm)],[4854])).
% 82.55/52.14 tff(4856,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr))) <=> ![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(rewrite,[status(thm)],[])).
% 82.55/52.14 tff(4857,plain,
% 82.55/52.14 (^[VarCurr: state_type] : rewrite(((~v246(VarCurr)) | v247(VarCurr)) <=> (v247(VarCurr) | (~v246(VarCurr))))),
% 82.55/52.14 inference(bind,[status(th)],[])).
% 82.55/52.14 tff(4858,plain,
% 82.55/52.14 (![VarCurr: state_type] : ((~v246(VarCurr)) | v247(VarCurr)) <=> ![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(quant_intro,[status(thm)],[4857])).
% 82.55/52.14 tff(4859,axiom,(![VarCurr: state_type] : ((~v246(VarCurr)) | v247(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_1_2')).
% 82.55/52.14 tff(4860,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 82.55/52.14 tff(4861,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4860, 4856])).
% 82.55/52.14 tff(4862,plain,(
% 82.55/52.14 ![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(skolemize,[status(sab)],[4861])).
% 82.55/52.14 tff(4863,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4862, 4855])).
% 82.55/52.14 tff(4864,plain,
% 82.55/52.14 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB21) | (~v246(constB21)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB21) | (~v246(constB21)))),
% 82.55/52.14 inference(rewrite,[status(thm)],[])).
% 82.55/52.14 tff(4865,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB21) | (~v246(constB21)))),
% 82.55/52.14 inference(quant_inst,[status(thm)],[])).
% 82.55/52.14 tff(4866,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB21) | (~v246(constB21))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4865, 4864])).
% 82.55/52.14 tff(4867,plain,
% 82.55/52.14 (~v246(constB21)),
% 82.55/52.14 inference(unit_resolution,[status(thm)],[4866, 4863, 4853])).
% 82.55/52.14 tff(4868,plain,
% 82.55/52.14 (^[VarCurr: state_type] : refl((v246(VarCurr) | (~v245(VarCurr))) <=> (v246(VarCurr) | (~v245(VarCurr))))),
% 82.55/52.14 inference(bind,[status(th)],[])).
% 82.55/52.14 tff(4869,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(quant_intro,[status(thm)],[4868])).
% 82.55/52.14 tff(4870,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr))) <=> ![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(rewrite,[status(thm)],[])).
% 82.55/52.14 tff(4871,plain,
% 82.55/52.14 (^[VarCurr: state_type] : rewrite(((~v245(VarCurr)) | v246(VarCurr)) <=> (v246(VarCurr) | (~v245(VarCurr))))),
% 82.55/52.14 inference(bind,[status(th)],[])).
% 82.55/52.14 tff(4872,plain,
% 82.55/52.14 (![VarCurr: state_type] : ((~v245(VarCurr)) | v246(VarCurr)) <=> ![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(quant_intro,[status(thm)],[4871])).
% 82.55/52.14 tff(4873,axiom,(![VarCurr: state_type] : ((~v245(VarCurr)) | v246(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_68_1_1_2')).
% 82.55/52.14 tff(4874,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 82.55/52.14 tff(4875,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4874, 4870])).
% 82.55/52.14 tff(4876,plain,(
% 82.55/52.14 ![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(skolemize,[status(sab)],[4875])).
% 82.55/52.14 tff(4877,plain,
% 82.55/52.14 (![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4876, 4869])).
% 82.55/52.14 tff(4878,plain,
% 82.55/52.14 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB21) | (~v245(constB21)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB21) | (~v245(constB21)))),
% 82.55/52.14 inference(rewrite,[status(thm)],[])).
% 82.55/52.14 tff(4879,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB21) | (~v245(constB21)))),
% 82.55/52.14 inference(quant_inst,[status(thm)],[])).
% 82.55/52.14 tff(4880,plain,
% 82.55/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB21) | (~v245(constB21))),
% 82.55/52.14 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 82.55/52.14 tff(4881,plain,
% 82.55/52.14 (~v245(constB21)),
% 82.55/52.14 inference(unit_resolution,[status(thm)],[4880, 4877, 4867])).
% 82.55/52.14 tff(4882,plain,
% 82.55/52.14 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v244(VarCurr))) <=> ((~v183(VarCurr)) | (~v244(VarCurr))))),
% 82.55/52.14 inference(bind,[status(th)],[])).
% 82.55/52.14 tff(4883,plain,
% 82.55/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.55/52.14 inference(quant_intro,[status(thm)],[4882])).
% 82.55/52.14 tff(4884,plain,
% 82.55/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4885,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v244(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v244(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4886,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v244(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4885])).
% 82.57/52.14 tff(4887,axiom,(![VarCurr: state_type] : ((~v244(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_1_3')).
% 82.57/52.14 tff(4888,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 82.57/52.14 tff(4889,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4888, 4884])).
% 82.57/52.14 tff(4890,plain,(
% 82.57/52.14 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[4889])).
% 82.57/52.14 tff(4891,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4890, 4883])).
% 82.57/52.14 tff(4892,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB21)) | (~v244(constB21)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB21)) | (~v244(constB21)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4893,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB21)) | (~v244(constB21)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4894,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB21)) | (~v244(constB21))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 82.57/52.14 tff(4895,plain,
% 82.57/52.14 (~v244(constB21)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4894, 4891, 4240])).
% 82.57/52.14 tff(4896,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4897,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> ![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4896])).
% 82.57/52.14 tff(4898,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr))) <=> ![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4899,plain,
% 82.57/52.14 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v241(VarCurr)) | v244(VarCurr)) <=> (v244(VarCurr) | (~v241(VarCurr)))), ((((~v241(VarCurr)) | v244(VarCurr)) | v245(VarCurr)) <=> ((v244(VarCurr) | (~v241(VarCurr))) | v245(VarCurr)))), rewrite(((v244(VarCurr) | (~v241(VarCurr))) | v245(VarCurr)) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))), ((((~v241(VarCurr)) | v244(VarCurr)) | v245(VarCurr)) <=> (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4900,plain,
% 82.57/52.14 (![VarCurr: state_type] : (((~v241(VarCurr)) | v244(VarCurr)) | v245(VarCurr)) <=> ![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4899])).
% 82.57/52.14 tff(4901,axiom,(![VarCurr: state_type] : (((~v241(VarCurr)) | v244(VarCurr)) | v245(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_69_1_3')).
% 82.57/52.14 tff(4902,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 82.57/52.14 tff(4903,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4902, 4898])).
% 82.57/52.14 tff(4904,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[4903])).
% 82.57/52.14 tff(4905,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4904, 4897])).
% 82.57/52.14 tff(4906,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB21) | v245(constB21) | (~v241(constB21)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB21) | v245(constB21) | (~v241(constB21)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4907,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB21) | v245(constB21) | (~v241(constB21)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4908,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB21) | v245(constB21) | (~v241(constB21))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 82.57/52.14 tff(4909,plain,
% 82.57/52.14 (v245(constB21) | (~v241(constB21))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4908, 4905, 4895])).
% 82.57/52.14 tff(4910,plain,
% 82.57/52.14 (~v241(constB21)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4909, 4881])).
% 82.57/52.14 tff(4911,plain,
% 82.57/52.14 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4912,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4911])).
% 82.57/52.14 tff(4913,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4914,plain,
% 82.57/52.14 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v243(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4915,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4914])).
% 82.57/52.14 tff(4916,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v243(VarNext))) | v241(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_15_1_2')).
% 82.57/52.14 tff(4917,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 82.57/52.14 tff(4918,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4917, 4913])).
% 82.57/52.14 tff(4919,plain,(
% 82.57/52.14 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[4918])).
% 82.57/52.14 tff(4920,plain,
% 82.57/52.14 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4919, 4912])).
% 82.57/52.14 tff(4921,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB21, constB22)) | v241(constB21) | (~v243(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB21, constB22)) | v241(constB21) | (~v243(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4922,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB21, constB22)) | v241(constB21) | (~v243(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4923,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB21, constB22)) | v241(constB21) | (~v243(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 82.57/52.14 tff(4924,plain,
% 82.57/52.14 (v241(constB21) | (~v243(constB22))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4923, 4920, 2885])).
% 82.57/52.14 tff(4925,plain,
% 82.57/52.14 (~v243(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4924, 4910])).
% 82.57/52.14 tff(4926,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v243(VarCurr) | (~v244(VarCurr))) <=> (v243(VarCurr) | (~v244(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4927,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4926])).
% 82.57/52.14 tff(4928,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4929,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v244(VarCurr)) | v243(VarCurr)) <=> (v243(VarCurr) | (~v244(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4930,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v244(VarCurr)) | v243(VarCurr)) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4929])).
% 82.57/52.14 tff(4931,axiom,(![VarCurr: state_type] : ((~v244(VarCurr)) | v243(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_1_2')).
% 82.57/52.14 tff(4932,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4931, 4930])).
% 82.57/52.14 tff(4933,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4932, 4928])).
% 82.57/52.14 tff(4934,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[4933])).
% 82.57/52.14 tff(4935,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4934, 4927])).
% 82.57/52.14 tff(4936,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB22) | (~v244(constB22)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB22) | (~v244(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4937,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB22) | (~v244(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4938,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB22) | (~v244(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4937, 4936])).
% 82.57/52.14 tff(4939,plain,
% 82.57/52.14 (~v244(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4938, 4935, 4925])).
% 82.57/52.14 tff(4940,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v247(VarCurr))) <=> (v184(VarCurr) | (~v247(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4941,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4940])).
% 82.57/52.14 tff(4942,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4943,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v247(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v247(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(4944,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v247(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[4943])).
% 82.57/52.14 tff(4945,axiom,(![VarCurr: state_type] : ((~v247(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_1_3')).
% 82.57/52.14 tff(4946,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 82.57/52.14 tff(4947,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4946, 4942])).
% 82.57/52.14 tff(4948,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[4947])).
% 82.57/52.14 tff(4949,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4948, 4941])).
% 82.57/52.14 tff(4950,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB22) | (~v247(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB22) | (~v247(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4951,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB22) | (~v247(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4952,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB22) | (~v247(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4951, 4950])).
% 82.57/52.14 tff(4953,plain,
% 82.57/52.14 (~v247(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4952, 4949, 4299])).
% 82.57/52.14 tff(4954,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB22) | (~v246(constB22)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB22) | (~v246(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4955,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB22) | (~v246(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4956,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB22) | (~v246(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4955, 4954])).
% 82.57/52.14 tff(4957,plain,
% 82.57/52.14 (~v246(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4956, 4863, 4953])).
% 82.57/52.14 tff(4958,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB22) | (~v245(constB22)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB22) | (~v245(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4959,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB22) | (~v245(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4960,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB22) | (~v245(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 82.57/52.14 tff(4961,plain,
% 82.57/52.14 (~v245(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4960, 4877, 4957])).
% 82.57/52.14 tff(4962,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB22) | v245(constB22) | (~v241(constB22)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB22) | v245(constB22) | (~v241(constB22)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4963,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB22) | v245(constB22) | (~v241(constB22)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4964,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB22) | v245(constB22) | (~v241(constB22))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4963, 4962])).
% 82.57/52.14 tff(4965,plain,
% 82.57/52.14 (v244(constB22) | (~v241(constB22))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4964, 4905, 4961])).
% 82.57/52.14 tff(4966,plain,
% 82.57/52.14 (~v241(constB22)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4965, 4939])).
% 82.57/52.14 tff(4967,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB22, constB23)) | v241(constB22) | (~v243(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB22, constB23)) | v241(constB22) | (~v243(constB23)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4968,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB22, constB23)) | v241(constB22) | (~v243(constB23)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4969,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB22, constB23)) | v241(constB22) | (~v243(constB23))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4968, 4967])).
% 82.57/52.14 tff(4970,plain,
% 82.57/52.14 (v241(constB22) | (~v243(constB23))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4969, 4920, 2947])).
% 82.57/52.14 tff(4971,plain,
% 82.57/52.14 (~v243(constB23)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4970, 4966])).
% 82.57/52.14 tff(4972,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB23) | (~v244(constB23)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB23) | (~v244(constB23)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4973,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB23) | (~v244(constB23)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4974,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB23) | (~v244(constB23))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 82.57/52.14 tff(4975,plain,
% 82.57/52.14 (~v244(constB23)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4974, 4935, 4971])).
% 82.57/52.14 tff(4976,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB23) | v245(constB23) | (~v241(constB23)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB23) | v245(constB23) | (~v241(constB23)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4977,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB23) | v245(constB23) | (~v241(constB23)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4978,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB23) | v245(constB23) | (~v241(constB23))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 82.57/52.14 tff(4979,plain,
% 82.57/52.14 (v245(constB23) | (~v241(constB23))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4978, 4905, 4975])).
% 82.57/52.14 tff(4980,plain,
% 82.57/52.14 (~v241(constB23)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4979, 4804])).
% 82.57/52.14 tff(4981,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB23, constB24)) | v241(constB23) | (~v243(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB23, constB24)) | v241(constB23) | (~v243(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4982,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB23, constB24)) | v241(constB23) | (~v243(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4983,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB23, constB24)) | v241(constB23) | (~v243(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4982, 4981])).
% 82.57/52.14 tff(4984,plain,
% 82.57/52.14 (v241(constB23) | (~v243(constB24))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4983, 4920, 3069])).
% 82.57/52.14 tff(4985,plain,
% 82.57/52.14 (~v243(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4984, 4980])).
% 82.57/52.14 tff(4986,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB24) | (~v244(constB24)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB24) | (~v244(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4987,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB24) | (~v244(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4988,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB24) | (~v244(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 82.57/52.14 tff(4989,plain,
% 82.57/52.14 (~v244(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4988, 4935, 4985])).
% 82.57/52.14 tff(4990,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB24) | (~v247(constB24)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB24) | (~v247(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4991,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB24) | (~v247(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4992,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB24) | (~v247(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 82.57/52.14 tff(4993,plain,
% 82.57/52.14 (~v247(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4992, 4949, 4349])).
% 82.57/52.14 tff(4994,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB24) | (~v246(constB24)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB24) | (~v246(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4995,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB24) | (~v246(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(4996,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB24) | (~v246(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 82.57/52.14 tff(4997,plain,
% 82.57/52.14 (~v246(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[4996, 4863, 4993])).
% 82.57/52.14 tff(4998,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB24) | (~v245(constB24)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB24) | (~v245(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(4999,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB24) | (~v245(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5000,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB24) | (~v245(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 82.57/52.14 tff(5001,plain,
% 82.57/52.14 (~v245(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5000, 4877, 4997])).
% 82.57/52.14 tff(5002,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB24) | v245(constB24) | (~v241(constB24)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB24) | v245(constB24) | (~v241(constB24)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5003,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB24) | v245(constB24) | (~v241(constB24)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5004,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB24) | v245(constB24) | (~v241(constB24))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5003, 5002])).
% 82.57/52.14 tff(5005,plain,
% 82.57/52.14 (v244(constB24) | (~v241(constB24))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5004, 4905, 5001])).
% 82.57/52.14 tff(5006,plain,
% 82.57/52.14 (~v241(constB24)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5005, 4989])).
% 82.57/52.14 tff(5007,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB24, constB25)) | v241(constB24) | (~v243(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB24, constB25)) | v241(constB24) | (~v243(constB25)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5008,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB24, constB25)) | v241(constB24) | (~v243(constB25)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5009,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB24, constB25)) | v241(constB24) | (~v243(constB25))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 82.57/52.14 tff(5010,plain,
% 82.57/52.14 (v241(constB24) | (~v243(constB25))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5009, 4920, 3131])).
% 82.57/52.14 tff(5011,plain,
% 82.57/52.14 (~v243(constB25)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5010, 5006])).
% 82.57/52.14 tff(5012,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB25) | (~v244(constB25)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB25) | (~v244(constB25)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5013,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB25) | (~v244(constB25)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5014,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB25) | (~v244(constB25))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5013, 5012])).
% 82.57/52.14 tff(5015,plain,
% 82.57/52.14 (~v244(constB25)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5014, 4935, 5011])).
% 82.57/52.14 tff(5016,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB25) | v245(constB25) | (~v241(constB25)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB25) | v245(constB25) | (~v241(constB25)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5017,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB25) | v245(constB25) | (~v241(constB25)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5018,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB25) | v245(constB25) | (~v241(constB25))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 82.57/52.14 tff(5019,plain,
% 82.57/52.14 (~v241(constB25)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5018, 4905, 5015, 4800])).
% 82.57/52.14 tff(5020,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB25, constB26)) | v241(constB25) | (~v243(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB25, constB26)) | v241(constB25) | (~v243(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5021,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB25, constB26)) | v241(constB25) | (~v243(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5022,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB25, constB26)) | v241(constB25) | (~v243(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 82.57/52.14 tff(5023,plain,
% 82.57/52.14 (v241(constB25) | (~v243(constB26))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5022, 4920, 3246])).
% 82.57/52.14 tff(5024,plain,
% 82.57/52.14 (~v243(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5023, 5019])).
% 82.57/52.14 tff(5025,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB26) | (~v244(constB26)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB26) | (~v244(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5026,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB26) | (~v244(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5027,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB26) | (~v244(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 82.57/52.14 tff(5028,plain,
% 82.57/52.14 (~v244(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5027, 4935, 5024])).
% 82.57/52.14 tff(5029,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB26) | (~v247(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB26) | (~v247(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5030,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB26) | (~v247(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5031,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB26) | (~v247(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5030, 5029])).
% 82.57/52.14 tff(5032,plain,
% 82.57/52.14 (~v247(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5031, 4949, 3905])).
% 82.57/52.14 tff(5033,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB26) | (~v246(constB26)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB26) | (~v246(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5034,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB26) | (~v246(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5035,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB26) | (~v246(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5034, 5033])).
% 82.57/52.14 tff(5036,plain,
% 82.57/52.14 (~v246(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5035, 4863, 5032])).
% 82.57/52.14 tff(5037,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB26) | (~v245(constB26)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB26) | (~v245(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5038,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB26) | (~v245(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5039,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB26) | (~v245(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 82.57/52.14 tff(5040,plain,
% 82.57/52.14 (~v245(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5039, 4877, 5036])).
% 82.57/52.14 tff(5041,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB26) | v245(constB26) | (~v241(constB26)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB26) | v245(constB26) | (~v241(constB26)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5042,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB26) | v245(constB26) | (~v241(constB26)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5043,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB26) | v245(constB26) | (~v241(constB26))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 82.57/52.14 tff(5044,plain,
% 82.57/52.14 (v244(constB26) | (~v241(constB26))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5043, 4905, 5040])).
% 82.57/52.14 tff(5045,plain,
% 82.57/52.14 (~v241(constB26)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5044, 5028])).
% 82.57/52.14 tff(5046,plain,
% 82.57/52.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB26, constB27)) | v241(constB26) | (~v243(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB26, constB27)) | v241(constB26) | (~v243(constB27)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5047,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB26, constB27)) | v241(constB26) | (~v243(constB27)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5048,plain,
% 82.57/52.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB26, constB27)) | v241(constB26) | (~v243(constB27))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 82.57/52.14 tff(5049,plain,
% 82.57/52.14 (v241(constB26) | (~v243(constB27))),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5048, 4920, 3332])).
% 82.57/52.14 tff(5050,plain,
% 82.57/52.14 (~v243(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5049, 5045])).
% 82.57/52.14 tff(5051,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v243(VarCurr) | (~v302(VarCurr))) <=> (v243(VarCurr) | (~v302(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5052,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5051])).
% 82.57/52.14 tff(5053,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5054,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v302(VarCurr)) | v243(VarCurr)) <=> (v243(VarCurr) | (~v302(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5055,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v302(VarCurr)) | v243(VarCurr)) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5054])).
% 82.57/52.14 tff(5056,axiom,(![VarCurr: state_type] : ((~v302(VarCurr)) | v243(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_90_1_1_1_2')).
% 82.57/52.14 tff(5057,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 82.57/52.14 tff(5058,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5057, 5053])).
% 82.57/52.14 tff(5059,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5058])).
% 82.57/52.14 tff(5060,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5059, 5052])).
% 82.57/52.14 tff(5061,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB27) | (~v302(constB27)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB27) | (~v302(constB27)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5062,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB27) | (~v302(constB27)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5063,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB27) | (~v302(constB27))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5062, 5061])).
% 82.57/52.14 tff(5064,plain,
% 82.57/52.14 (~v302(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5063, 5060, 5050])).
% 82.57/52.14 tff(5065,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5066,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> ![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5065])).
% 82.57/52.14 tff(5067,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)) <=> ![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5068,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((v292(VarCurr) | v302(VarCurr)) | v290(VarCurr)) <=> (v292(VarCurr) | v302(VarCurr) | v290(VarCurr)))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5069,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((v292(VarCurr) | v302(VarCurr)) | v290(VarCurr)) <=> ![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5068])).
% 82.57/52.14 tff(5070,axiom,(![VarCurr: state_type] : ((v292(VarCurr) | v302(VarCurr)) | v290(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_91_1_1_1_1')).
% 82.57/52.14 tff(5071,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 82.57/52.14 tff(5072,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5071, 5067])).
% 82.57/52.14 tff(5073,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5072])).
% 82.57/52.14 tff(5074,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5073, 5066])).
% 82.57/52.14 tff(5075,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB27) | v290(constB27) | v302(constB27))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB27) | v290(constB27) | v302(constB27))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5076,plain,
% 82.57/52.14 ((v292(constB27) | v302(constB27) | v290(constB27)) <=> (v292(constB27) | v290(constB27) | v302(constB27))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5077,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB27) | v302(constB27) | v290(constB27))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB27) | v290(constB27) | v302(constB27)))),
% 82.57/52.14 inference(monotonicity,[status(thm)],[5076])).
% 82.57/52.14 tff(5078,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB27) | v302(constB27) | v290(constB27))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB27) | v290(constB27) | v302(constB27))),
% 82.57/52.14 inference(transitivity,[status(thm)],[5077, 5075])).
% 82.57/52.14 tff(5079,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB27) | v302(constB27) | v290(constB27))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5080,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB27) | v290(constB27) | v302(constB27)),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 82.57/52.14 tff(5081,plain,
% 82.57/52.14 (v292(constB27) | v290(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5080, 5074, 5064])).
% 82.57/52.14 tff(5082,plain,
% 82.57/52.14 (v290(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5081, 4786])).
% 82.57/52.14 tff(5083,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr))) <=> (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5084,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr))) <=> ![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5083])).
% 82.57/52.14 tff(5085,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr))) <=> ![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5086,plain,
% 82.57/52.14 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v290(VarCurr)) | v307(VarCurr)) <=> (v307(VarCurr) | (~v290(VarCurr)))), ((((~v290(VarCurr)) | v307(VarCurr)) | v289(VarCurr)) <=> ((v307(VarCurr) | (~v290(VarCurr))) | v289(VarCurr)))), rewrite(((v307(VarCurr) | (~v290(VarCurr))) | v289(VarCurr)) <=> (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))), ((((~v290(VarCurr)) | v307(VarCurr)) | v289(VarCurr)) <=> (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5087,plain,
% 82.57/52.14 (![VarCurr: state_type] : (((~v290(VarCurr)) | v307(VarCurr)) | v289(VarCurr)) <=> ![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5086])).
% 82.57/52.14 tff(5088,axiom,(![VarCurr: state_type] : (((~v290(VarCurr)) | v307(VarCurr)) | v289(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_93_1_1_1_1')).
% 82.57/52.14 tff(5089,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 82.57/52.14 tff(5090,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5089, 5085])).
% 82.57/52.14 tff(5091,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5090])).
% 82.57/52.14 tff(5092,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5091, 5084])).
% 82.57/52.14 tff(5093,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB27) | v289(constB27) | (~v290(constB27)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB27) | v289(constB27) | (~v290(constB27)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5094,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB27) | v289(constB27) | (~v290(constB27)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5095,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB27) | v289(constB27) | (~v290(constB27))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 82.57/52.14 tff(5096,plain,
% 82.57/52.14 (v307(constB27) | v289(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5095, 5092, 5082])).
% 82.57/52.14 tff(5097,plain,
% 82.57/52.14 (v289(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5096, 3951])).
% 82.57/52.14 tff(5098,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr))) <=> (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5099,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr))) <=> ![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5098])).
% 82.57/52.14 tff(5100,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr))) <=> ![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5101,plain,
% 82.57/52.14 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v289(VarCurr)) | v309(VarCurr)) <=> (v309(VarCurr) | (~v289(VarCurr)))), ((((~v289(VarCurr)) | v309(VarCurr)) | v288(VarCurr)) <=> ((v309(VarCurr) | (~v289(VarCurr))) | v288(VarCurr)))), rewrite(((v309(VarCurr) | (~v289(VarCurr))) | v288(VarCurr)) <=> (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))), ((((~v289(VarCurr)) | v309(VarCurr)) | v288(VarCurr)) <=> (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5102,plain,
% 82.57/52.14 (![VarCurr: state_type] : (((~v289(VarCurr)) | v309(VarCurr)) | v288(VarCurr)) <=> ![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5101])).
% 82.57/52.14 tff(5103,axiom,(![VarCurr: state_type] : (((~v289(VarCurr)) | v309(VarCurr)) | v288(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_97_1_1_1_1')).
% 82.57/52.14 tff(5104,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 82.57/52.14 tff(5105,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5104, 5100])).
% 82.57/52.14 tff(5106,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5105])).
% 82.57/52.14 tff(5107,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5106, 5099])).
% 82.57/52.14 tff(5108,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB27) | v288(constB27) | (~v289(constB27)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB27) | v288(constB27) | (~v289(constB27)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5109,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB27) | v288(constB27) | (~v289(constB27)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5110,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB27) | v288(constB27) | (~v289(constB27))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5109, 5108])).
% 82.57/52.14 tff(5111,plain,
% 82.57/52.14 (v309(constB27) | v288(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5110, 5107, 5097])).
% 82.57/52.14 tff(5112,plain,
% 82.57/52.14 (v288(constB27)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5111, 3592])).
% 82.57/52.14 tff(5113,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v259(VarCurr))) <=> ((~v183(VarCurr)) | (~v259(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5114,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5113])).
% 82.57/52.14 tff(5115,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5116,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v259(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v259(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5117,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v259(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5116])).
% 82.57/52.14 tff(5118,axiom,(![VarCurr: state_type] : ((~v259(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_3')).
% 82.57/52.14 tff(5119,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5118, 5117])).
% 82.57/52.14 tff(5120,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5119, 5115])).
% 82.57/52.14 tff(5121,plain,(
% 82.57/52.14 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5120])).
% 82.57/52.14 tff(5122,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5121, 5114])).
% 82.57/52.14 tff(5123,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB25)) | (~v259(constB25)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB25)) | (~v259(constB25)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5124,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB25)) | (~v259(constB25)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5125,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB25)) | (~v259(constB25))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 82.57/52.14 tff(5126,plain,
% 82.57/52.14 (~v259(constB25)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5125, 5122, 3684])).
% 82.57/52.14 tff(5127,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v243(VarCurr) | (~v260(VarCurr))) <=> (v243(VarCurr) | (~v260(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5128,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5127])).
% 82.57/52.14 tff(5129,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5130,plain,
% 82.57/52.14 (^[VarCurr: state_type] : rewrite(((~v260(VarCurr)) | v243(VarCurr)) <=> (v243(VarCurr) | (~v260(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5131,plain,
% 82.57/52.14 (![VarCurr: state_type] : ((~v260(VarCurr)) | v243(VarCurr)) <=> ![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5130])).
% 82.57/52.14 tff(5132,axiom,(![VarCurr: state_type] : ((~v260(VarCurr)) | v243(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_1_3')).
% 82.57/52.14 tff(5133,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 82.57/52.14 tff(5134,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5133, 5129])).
% 82.57/52.14 tff(5135,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5134])).
% 82.57/52.14 tff(5136,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5135, 5128])).
% 82.57/52.14 tff(5137,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB25) | (~v260(constB25)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB25) | (~v260(constB25)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5138,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB25) | (~v260(constB25)))),
% 82.57/52.14 inference(quant_inst,[status(thm)],[])).
% 82.57/52.14 tff(5139,plain,
% 82.57/52.14 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB25) | (~v260(constB25))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 82.57/52.14 tff(5140,plain,
% 82.57/52.14 (~v260(constB25)),
% 82.57/52.14 inference(unit_resolution,[status(thm)],[5139, 5136, 5011])).
% 82.57/52.14 tff(5141,plain,
% 82.57/52.14 (^[VarCurr: state_type] : refl((v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5142,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> ![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5141])).
% 82.57/52.14 tff(5143,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr))) <=> ![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(rewrite,[status(thm)],[])).
% 82.57/52.14 tff(5144,plain,
% 82.57/52.14 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v256(VarCurr)) | v259(VarCurr)) <=> (v259(VarCurr) | (~v256(VarCurr)))), ((((~v256(VarCurr)) | v259(VarCurr)) | v260(VarCurr)) <=> ((v259(VarCurr) | (~v256(VarCurr))) | v260(VarCurr)))), rewrite(((v259(VarCurr) | (~v256(VarCurr))) | v260(VarCurr)) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))), ((((~v256(VarCurr)) | v259(VarCurr)) | v260(VarCurr)) <=> (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))))),
% 82.57/52.14 inference(bind,[status(th)],[])).
% 82.57/52.14 tff(5145,plain,
% 82.57/52.14 (![VarCurr: state_type] : (((~v256(VarCurr)) | v259(VarCurr)) | v260(VarCurr)) <=> ![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(quant_intro,[status(thm)],[5144])).
% 82.57/52.14 tff(5146,axiom,(![VarCurr: state_type] : (((~v256(VarCurr)) | v259(VarCurr)) | v260(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_74_1_3')).
% 82.57/52.14 tff(5147,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 82.57/52.14 tff(5148,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5147, 5143])).
% 82.57/52.14 tff(5149,plain,(
% 82.57/52.14 ![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(skolemize,[status(sab)],[5148])).
% 82.57/52.14 tff(5150,plain,
% 82.57/52.14 (![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))),
% 82.57/52.14 inference(modus_ponens,[status(thm)],[5149, 5142])).
% 82.57/52.14 tff(5151,plain,
% 82.57/52.14 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB25) | v260(constB25) | (~v256(constB25)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB25) | v260(constB25) | (~v256(constB25)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5152,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB25) | v260(constB25) | (~v256(constB25)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5153,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB25) | v260(constB25) | (~v256(constB25))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 82.57/52.15 tff(5154,plain,
% 82.57/52.15 (v259(constB25) | (~v256(constB25))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5153, 5150, 5140])).
% 82.57/52.15 tff(5155,plain,
% 82.57/52.15 (~v256(constB25)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5154, 5126])).
% 82.57/52.15 tff(5156,plain,
% 82.57/52.15 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5157,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5156])).
% 82.57/52.15 tff(5158,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5159,plain,
% 82.57/52.15 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v258(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5160,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5159])).
% 82.57/52.15 tff(5161,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v258(VarNext))) | v256(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_16_1_2')).
% 82.57/52.15 tff(5162,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 82.57/52.15 tff(5163,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5162, 5158])).
% 82.57/52.15 tff(5164,plain,(
% 82.57/52.15 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(skolemize,[status(sab)],[5163])).
% 82.57/52.15 tff(5165,plain,
% 82.57/52.15 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5164, 5157])).
% 82.57/52.15 tff(5166,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB25, constB26)) | v256(constB25) | (~v258(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB25, constB26)) | v256(constB25) | (~v258(constB26)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5167,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB25, constB26)) | v256(constB25) | (~v258(constB26)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5168,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB25, constB26)) | v256(constB25) | (~v258(constB26))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 82.57/52.15 tff(5169,plain,
% 82.57/52.15 (v256(constB25) | (~v258(constB26))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5168, 5165, 3246])).
% 82.57/52.15 tff(5170,plain,
% 82.57/52.15 (~v258(constB26)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5169, 5155])).
% 82.57/52.15 tff(5171,plain,
% 82.57/52.15 (^[VarCurr: state_type] : refl((v258(VarCurr) | (~v259(VarCurr))) <=> (v258(VarCurr) | (~v259(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5172,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5171])).
% 82.57/52.15 tff(5173,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5174,plain,
% 82.57/52.15 (^[VarCurr: state_type] : rewrite(((~v259(VarCurr)) | v258(VarCurr)) <=> (v258(VarCurr) | (~v259(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5175,plain,
% 82.57/52.15 (![VarCurr: state_type] : ((~v259(VarCurr)) | v258(VarCurr)) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5174])).
% 82.57/52.15 tff(5176,axiom,(![VarCurr: state_type] : ((~v259(VarCurr)) | v258(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_2')).
% 82.57/52.15 tff(5177,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 82.57/52.15 tff(5178,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5177, 5173])).
% 82.57/52.15 tff(5179,plain,(
% 82.57/52.15 ![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(skolemize,[status(sab)],[5178])).
% 82.57/52.15 tff(5180,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5179, 5172])).
% 82.57/52.15 tff(5181,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB26) | (~v259(constB26)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB26) | (~v259(constB26)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5182,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB26) | (~v259(constB26)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5183,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB26) | (~v259(constB26))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 82.57/52.15 tff(5184,plain,
% 82.57/52.15 (~v259(constB26)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5183, 5180, 5170])).
% 82.57/52.15 tff(5185,plain,
% 82.57/52.15 (^[VarCurr: state_type] : refl((v261(VarCurr) | (~v260(VarCurr))) <=> (v261(VarCurr) | (~v260(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5186,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5185])).
% 82.57/52.15 tff(5187,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr))) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5188,plain,
% 82.57/52.15 (^[VarCurr: state_type] : rewrite(((~v260(VarCurr)) | v261(VarCurr)) <=> (v261(VarCurr) | (~v260(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5189,plain,
% 82.57/52.15 (![VarCurr: state_type] : ((~v260(VarCurr)) | v261(VarCurr)) <=> ![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5188])).
% 82.57/52.15 tff(5190,axiom,(![VarCurr: state_type] : ((~v260(VarCurr)) | v261(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_1_2')).
% 82.57/52.15 tff(5191,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 82.57/52.15 tff(5192,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5191, 5187])).
% 82.57/52.15 tff(5193,plain,(
% 82.57/52.15 ![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(skolemize,[status(sab)],[5192])).
% 82.57/52.15 tff(5194,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5193, 5186])).
% 82.57/52.15 tff(5195,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB26) | (~v260(constB26)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB26) | (~v260(constB26)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5196,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB26) | (~v260(constB26)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5197,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB26) | (~v260(constB26))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 82.57/52.15 tff(5198,plain,
% 82.57/52.15 (~v260(constB26)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5197, 5194, 3923])).
% 82.57/52.15 tff(5199,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB26) | v260(constB26) | (~v256(constB26)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB26) | v260(constB26) | (~v256(constB26)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5200,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB26) | v260(constB26) | (~v256(constB26)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5201,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB26) | v260(constB26) | (~v256(constB26))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 82.57/52.15 tff(5202,plain,
% 82.57/52.15 (v259(constB26) | (~v256(constB26))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5201, 5150, 5198])).
% 82.57/52.15 tff(5203,plain,
% 82.57/52.15 (~v256(constB26)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5202, 5184])).
% 82.57/52.15 tff(5204,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB26, constB27)) | v256(constB26) | (~v258(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB26, constB27)) | v256(constB26) | (~v258(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5205,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB26, constB27)) | v256(constB26) | (~v258(constB27)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5206,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB26, constB27)) | v256(constB26) | (~v258(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 82.57/52.15 tff(5207,plain,
% 82.57/52.15 (v256(constB26) | (~v258(constB27))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5206, 5165, 3332])).
% 82.57/52.15 tff(5208,plain,
% 82.57/52.15 (~v258(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5207, 5203])).
% 82.57/52.15 tff(5209,plain,
% 82.57/52.15 (^[VarCurr: state_type] : refl((v258(VarCurr) | (~v314(VarCurr))) <=> (v258(VarCurr) | (~v314(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5210,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5209])).
% 82.57/52.15 tff(5211,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5212,plain,
% 82.57/52.15 (^[VarCurr: state_type] : rewrite(((~v314(VarCurr)) | v258(VarCurr)) <=> (v258(VarCurr) | (~v314(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5213,plain,
% 82.57/52.15 (![VarCurr: state_type] : ((~v314(VarCurr)) | v258(VarCurr)) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5212])).
% 82.57/52.15 tff(5214,axiom,(![VarCurr: state_type] : ((~v314(VarCurr)) | v258(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_98_1_1_1_2')).
% 82.57/52.15 tff(5215,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 82.57/52.15 tff(5216,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5215, 5211])).
% 82.57/52.15 tff(5217,plain,(
% 82.57/52.15 ![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(skolemize,[status(sab)],[5216])).
% 82.57/52.15 tff(5218,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5217, 5210])).
% 82.57/52.15 tff(5219,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))) | (v258(constB27) | (~v314(constB27)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))) | v258(constB27) | (~v314(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5220,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))) | (v258(constB27) | (~v314(constB27)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5221,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v314(VarCurr)))) | v258(constB27) | (~v314(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 82.57/52.15 tff(5222,plain,
% 82.57/52.15 (~v314(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5221, 5218, 5208])).
% 82.57/52.15 tff(5223,plain,
% 82.57/52.15 (^[VarCurr: state_type] : refl((v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr))) <=> (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5224,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr))) <=> ![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5223])).
% 82.57/52.15 tff(5225,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr))) <=> ![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5226,plain,
% 82.57/52.15 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v288(VarCurr)) | v314(VarCurr)) <=> (v314(VarCurr) | (~v288(VarCurr)))), ((((~v288(VarCurr)) | v314(VarCurr)) | v287(VarCurr)) <=> ((v314(VarCurr) | (~v288(VarCurr))) | v287(VarCurr)))), rewrite(((v314(VarCurr) | (~v288(VarCurr))) | v287(VarCurr)) <=> (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))), ((((~v288(VarCurr)) | v314(VarCurr)) | v287(VarCurr)) <=> (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))))),
% 82.57/52.15 inference(bind,[status(th)],[])).
% 82.57/52.15 tff(5227,plain,
% 82.57/52.15 (![VarCurr: state_type] : (((~v288(VarCurr)) | v314(VarCurr)) | v287(VarCurr)) <=> ![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(quant_intro,[status(thm)],[5226])).
% 82.57/52.15 tff(5228,axiom,(![VarCurr: state_type] : (((~v288(VarCurr)) | v314(VarCurr)) | v287(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_99_1_1_1_1')).
% 82.57/52.15 tff(5229,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 82.57/52.15 tff(5230,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5229, 5225])).
% 82.57/52.15 tff(5231,plain,(
% 82.57/52.15 ![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(skolemize,[status(sab)],[5230])).
% 82.57/52.15 tff(5232,plain,
% 82.57/52.15 (![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5231, 5224])).
% 82.57/52.15 tff(5233,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))) | (v314(constB27) | v287(constB27) | (~v288(constB27)))) <=> ((~![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))) | v314(constB27) | v287(constB27) | (~v288(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5234,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))) | (v314(constB27) | v287(constB27) | (~v288(constB27)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5235,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v314(VarCurr) | v287(VarCurr) | (~v288(VarCurr)))) | v314(constB27) | v287(constB27) | (~v288(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5234, 5233])).
% 82.57/52.15 tff(5236,plain,
% 82.57/52.15 (v287(constB27) | (~v288(constB27))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5235, 5232, 5222])).
% 82.57/52.15 tff(5237,plain,
% 82.57/52.15 (v287(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5236, 5112])).
% 82.57/52.15 tff(5238,plain,
% 82.57/52.15 ($false),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5237, 11])).
% 82.57/52.15 tff(5239,plain,(~(constB27 = sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.15 tff(5240,assumption,(~v288(sK_VarCurr)), introduced(assumption)).
% 82.57/52.15 tff(5241,assumption,(~v290(sK_VarCurr)), introduced(assumption)).
% 82.57/52.15 tff(5242,assumption,(constB113 = sK_VarCurr), introduced(assumption)).
% 82.57/52.15 tff(5243,plain,
% 82.57/52.15 (v290(constB113) <=> v290(sK_VarCurr)),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5242])).
% 82.57/52.15 tff(5244,plain,
% 82.57/52.15 (v290(sK_VarCurr) <=> v290(constB113)),
% 82.57/52.15 inference(symmetry,[status(thm)],[5243])).
% 82.57/52.15 tff(5245,plain,
% 82.57/52.15 ((~v290(sK_VarCurr)) <=> (~v290(constB113))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5244])).
% 82.57/52.15 tff(5246,plain,
% 82.57/52.15 (~v290(constB113)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5241, 5245])).
% 82.57/52.15 tff(5247,assumption,(v26(constB33)), introduced(assumption)).
% 82.57/52.15 tff(5248,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5249,plain,
% 82.57/52.15 ($false),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5248, 19, 5247])).
% 82.57/52.15 tff(5250,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.15 tff(5251,assumption,(v26(constB31)), introduced(assumption)).
% 82.57/52.15 tff(5252,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5253,plain,
% 82.57/52.15 ($false),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5252, 19, 5251])).
% 82.57/52.15 tff(5254,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.15 tff(5255,assumption,(v26(constB27)), introduced(assumption)).
% 82.57/52.15 tff(5256,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5257,plain,
% 82.57/52.15 ($false),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5256, 19, 5255])).
% 82.57/52.15 tff(5258,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.15 tff(5259,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5260,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5261,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 82.57/52.15 tff(5262,plain,
% 82.57/52.15 (v120(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5261, 614, 3440, 3398, 3353])).
% 82.57/52.15 tff(5263,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5264,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5265,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 82.57/52.15 tff(5266,plain,
% 82.57/52.15 (v130(constB27, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5265, 804, 5262])).
% 82.57/52.15 tff(5267,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5268,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5269,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 82.57/52.15 tff(5270,plain,
% 82.57/52.15 (v26(constB27) | v127(constB27, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5269, 818, 5266])).
% 82.57/52.15 tff(5271,plain,
% 82.57/52.15 (v127(constB27, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5270, 5258])).
% 82.57/52.15 tff(5272,plain,
% 82.57/52.15 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5273,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 82.57/52.15 tff(5274,plain,
% 82.57/52.15 (nextState(constB27, constB28)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5273, 5272])).
% 82.57/52.15 tff(5275,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5276,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5277,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 82.57/52.15 tff(5278,plain,
% 82.57/52.15 ((~v127(constB27, 1)) | v129(constB28, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5277, 833, 5274])).
% 82.57/52.15 tff(5279,plain,
% 82.57/52.15 (v129(constB28, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5278, 5271])).
% 82.57/52.15 tff(5280,assumption,(~v108(constB27)), introduced(assumption)).
% 82.57/52.15 tff(5281,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5282,plain,
% 82.57/52.15 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5283,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5282])).
% 82.57/52.15 tff(5284,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5283, 5281])).
% 82.57/52.15 tff(5285,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5286,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 82.57/52.15 tff(5287,plain,
% 82.57/52.15 (~v112(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5286, 268, 5280])).
% 82.57/52.15 tff(5288,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5289,plain,
% 82.57/52.15 (((~v26(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v26(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5290,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v26(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5289])).
% 82.57/52.15 tff(5291,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5290, 5288])).
% 82.57/52.15 tff(5292,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB27)) | v108(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5293,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v26(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 82.57/52.15 tff(5294,plain,
% 82.57/52.15 (~v26(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5293, 685, 5280])).
% 82.57/52.15 tff(5295,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5296,plain,
% 82.57/52.15 (((~v120(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v120(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5297,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v120(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5296])).
% 82.57/52.15 tff(5298,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5297, 5295])).
% 82.57/52.15 tff(5299,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5300,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v120(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 82.57/52.15 tff(5301,plain,
% 82.57/52.15 (v118(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5300, 628, 5262])).
% 82.57/52.15 tff(5302,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5303,plain,
% 82.57/52.15 (((~v118(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v118(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5304,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5303])).
% 82.57/52.15 tff(5305,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5304, 5302])).
% 82.57/52.15 tff(5306,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5307,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 82.57/52.15 tff(5308,plain,
% 82.57/52.15 (v117(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5307, 186, 5301])).
% 82.57/52.15 tff(5309,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5310,plain,
% 82.57/52.15 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5311,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5310])).
% 82.57/52.15 tff(5312,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5311, 5309])).
% 82.57/52.15 tff(5313,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5314,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 82.57/52.15 tff(5315,plain,
% 82.57/52.15 (v116(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5314, 200, 5308])).
% 82.57/52.15 tff(5316,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB27)) | v115(constB27))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5317,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5318,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB27)) | v115(constB27)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5317, 5316])).
% 82.57/52.15 tff(5319,plain,
% 82.57/52.15 (v115(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5318, 214, 5315])).
% 82.57/52.15 tff(5320,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5321,plain,
% 82.57/52.15 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5322,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5321])).
% 82.57/52.15 tff(5323,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5322, 5320])).
% 82.57/52.15 tff(5324,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5325,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 82.57/52.15 tff(5326,plain,
% 82.57/52.15 (v114(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5325, 228, 5319])).
% 82.57/52.15 tff(5327,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5328,plain,
% 82.57/52.15 (((~v114(constB27)) | v113(constB27)) <=> (v113(constB27) | (~v114(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5329,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB27) | (~v114(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5328])).
% 82.57/52.15 tff(5330,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5329, 5327])).
% 82.57/52.15 tff(5331,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5332,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB27) | (~v114(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 82.57/52.15 tff(5333,plain,
% 82.57/52.15 (v113(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5332, 242, 5326])).
% 82.57/52.15 tff(5334,plain,
% 82.57/52.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5335,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5336,plain,
% 82.57/52.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 82.57/52.15 tff(5337,plain,
% 82.57/52.15 (v26(constB27) | v112(constB27)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5336, 256, 5333])).
% 82.57/52.15 tff(5338,plain,
% 82.57/52.15 ($false),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5337, 5294, 5287])).
% 82.57/52.15 tff(5339,plain,(v108(constB27)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.15 tff(5340,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5341,plain,
% 82.57/52.15 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5342,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5341])).
% 82.57/52.15 tff(5343,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5342, 5340])).
% 82.57/52.15 tff(5344,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5345,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 82.57/52.15 tff(5346,plain,
% 82.57/52.15 (v110(constB28) | (~v108(constB27))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5345, 288, 5274])).
% 82.57/52.15 tff(5347,plain,
% 82.57/52.15 (v110(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5346, 5339])).
% 82.57/52.15 tff(5348,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5349,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5350,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 82.57/52.15 tff(5351,plain,
% 82.57/52.15 (~v104(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5350, 306, 5274, 3329])).
% 82.57/52.15 tff(5352,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5353,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5354,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 82.57/52.15 tff(5355,plain,
% 82.57/52.15 (v102(constB28) | v104(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5354, 320, 5274])).
% 82.57/52.15 tff(5356,plain,
% 82.57/52.15 (v102(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5355, 5351])).
% 82.57/52.15 tff(5357,plain,
% 82.57/52.15 (v1(constB28) <=> v1(constB28)),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5358,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 82.57/52.15 tff(5359,plain,
% 82.57/52.15 (v1(constB28)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 82.57/52.15 tff(5360,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5361,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5362,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 82.57/52.15 tff(5363,plain,
% 82.57/52.15 (v101(constB28) | (~v102(constB28))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5362, 338, 5274, 5359])).
% 82.57/52.15 tff(5364,plain,
% 82.57/52.15 (v101(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5363, 5356])).
% 82.57/52.15 tff(5365,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5366,plain,
% 82.57/52.15 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5367,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5366])).
% 82.57/52.15 tff(5368,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5367, 5365])).
% 82.57/52.15 tff(5369,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5370,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 82.57/52.15 tff(5371,plain,
% 82.57/52.15 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5370, 353, 5274])).
% 82.57/52.15 tff(5372,plain,
% 82.57/52.15 (v100(constB28) | (~v110(constB28))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5371, 5364])).
% 82.57/52.15 tff(5373,plain,
% 82.57/52.15 (v100(constB28)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5372, 5347])).
% 82.57/52.15 tff(5374,plain,
% 82.57/52.15 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5375,plain,
% 82.57/52.15 ((v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1))) <=> (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5376,plain,
% 82.57/52.15 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5375])).
% 82.57/52.15 tff(5377,plain,
% 82.57/52.15 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5376, 5374])).
% 82.57/52.15 tff(5378,plain,
% 82.57/52.15 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))),
% 82.57/52.15 inference(quant_inst,[status(thm)],[])).
% 82.57/52.15 tff(5379,plain,
% 82.57/52.15 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5378, 5377])).
% 82.57/52.15 tff(5380,plain,
% 82.57/52.15 (v90(constB28, 1) | (~v129(constB28, 1))),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5379, 848, 5373])).
% 82.57/52.15 tff(5381,plain,
% 82.57/52.15 (v90(constB28, 1)),
% 82.57/52.15 inference(unit_resolution,[status(thm)],[5380, 5279])).
% 82.57/52.15 tff(5382,plain,
% 82.57/52.15 ((~v1(constB29)) <=> (~v1(constB29))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5383,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 82.57/52.15 tff(5384,plain,
% 82.57/52.15 (~v1(constB29)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 82.57/52.15 tff(5385,plain,
% 82.57/52.15 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5386,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 82.57/52.15 tff(5387,plain,
% 82.57/52.15 (nextState(constB28, constB29)),
% 82.57/52.15 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 82.57/52.15 tff(5388,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5389,plain,
% 82.57/52.15 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 82.57/52.15 inference(rewrite,[status(thm)],[])).
% 82.57/52.15 tff(5390,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 82.57/52.15 inference(monotonicity,[status(thm)],[5389])).
% 82.57/52.15 tff(5391,plain,
% 82.57/52.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 82.57/52.15 inference(transitivity,[status(thm)],[5390, 5388])).
% 82.57/52.15 tff(5392,plain,
% 82.57/52.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5393,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5392, 5391])).
% 82.57/52.16 tff(5394,plain,
% 82.57/52.16 (~v101(constB29)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5393, 66, 5387, 5384])).
% 82.57/52.16 tff(5395,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5396,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5397,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 82.57/52.16 tff(5398,plain,
% 82.57/52.16 (v101(constB29) | (~v100(constB29))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5397, 83, 5387])).
% 82.57/52.16 tff(5399,plain,
% 82.57/52.16 (~v100(constB29)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5398, 5394])).
% 82.57/52.16 tff(5400,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5401,plain,
% 82.57/52.16 (((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)) <=> ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5402,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5401])).
% 82.57/52.16 tff(5403,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5402, 5400])).
% 82.57/52.16 tff(5404,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5405,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 82.57/52.16 tff(5406,plain,
% 82.57/52.16 ((~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5405, 866, 5387])).
% 82.57/52.16 tff(5407,plain,
% 82.57/52.16 ((~v90(constB28, 1)) | v90(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5406, 5399])).
% 82.57/52.16 tff(5408,plain,
% 82.57/52.16 (v90(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5407, 5381])).
% 82.57/52.16 tff(5409,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5410,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5411,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 82.57/52.16 tff(5412,plain,
% 82.57/52.16 (~v130(constB27, 2)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5411, 744, 5262])).
% 82.57/52.16 tff(5413,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5414,plain,
% 82.57/52.16 ((v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2))) <=> ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5415,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5414])).
% 82.57/52.16 tff(5416,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5415, 5413])).
% 82.57/52.16 tff(5417,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5418,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 82.57/52.16 tff(5419,plain,
% 82.57/52.16 ((~v127(constB27, 2)) | v26(constB27)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5418, 556, 5412])).
% 82.57/52.16 tff(5420,plain,
% 82.57/52.16 (~v127(constB27, 2)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5419, 5258])).
% 82.57/52.16 tff(5421,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5422,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5423,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 82.57/52.16 tff(5424,plain,
% 82.57/52.16 (v127(constB27, 2) | (~v129(constB28, 2))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5423, 574, 5274])).
% 82.57/52.16 tff(5425,plain,
% 82.57/52.16 (~v129(constB28, 2)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5424, 5420])).
% 82.57/52.16 tff(5426,assumption,(v90(constB28, 2)), introduced(assumption)).
% 82.57/52.16 tff(5427,assumption,(~v90(constB27, 2)), introduced(assumption)).
% 82.57/52.16 tff(5428,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5429,plain,
% 82.57/52.16 (((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))) <=> (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5430,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5429])).
% 82.57/52.16 tff(5431,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5430, 5428])).
% 82.57/52.16 tff(5432,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5433,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 82.57/52.16 tff(5434,plain,
% 82.57/52.16 (v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5433, 98, 5274])).
% 82.57/52.16 tff(5435,plain,
% 82.57/52.16 (v100(constB28)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5434, 5426, 5427])).
% 82.57/52.16 tff(5436,assumption,(~v129(constB28, 2)), introduced(assumption)).
% 82.57/52.16 tff(5437,plain,
% 82.57/52.16 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5438,plain,
% 82.57/52.16 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5439,plain,
% 82.57/52.16 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 82.57/52.16 tff(5440,plain,
% 82.57/52.16 ((~v90(constB28, 2)) | (~v100(constB28))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5439, 589, 5436])).
% 82.57/52.16 tff(5441,plain,
% 82.57/52.16 ($false),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5440, 5435, 5426])).
% 82.57/52.16 tff(5442,plain,((~v90(constB28, 2)) | v129(constB28, 2) | v90(constB27, 2)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.16 tff(5443,plain,
% 82.57/52.16 (~v90(constB28, 2)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5442, 5425, 3353])).
% 82.57/52.16 tff(5444,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5445,plain,
% 82.57/52.16 (((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))) <=> (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5446,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5445])).
% 82.57/52.16 tff(5447,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5446, 5444])).
% 82.57/52.16 tff(5448,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5449,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 82.57/52.16 tff(5450,plain,
% 82.57/52.16 (v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5449, 98, 5387])).
% 82.57/52.16 tff(5451,plain,
% 82.57/52.16 (v90(constB28, 2) | (~v90(constB29, 2))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5450, 5399])).
% 82.57/52.16 tff(5452,plain,
% 82.57/52.16 (~v90(constB29, 2)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5451, 5443])).
% 82.57/52.16 tff(5453,assumption,(v127(constB27, 0)), introduced(assumption)).
% 82.57/52.16 tff(5454,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5455,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5456,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 82.57/52.16 tff(5457,plain,
% 82.57/52.16 (~v130(constB27, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5456, 882, 5262])).
% 82.57/52.16 tff(5458,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5459,plain,
% 82.57/52.16 ((v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0))) <=> ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5460,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5459])).
% 82.57/52.16 tff(5461,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5460, 5458])).
% 82.57/52.16 tff(5462,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5463,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 82.57/52.16 tff(5464,plain,
% 82.57/52.16 ((~v127(constB27, 0)) | v26(constB27)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5463, 896, 5457])).
% 82.57/52.16 tff(5465,plain,
% 82.57/52.16 (v26(constB27)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5464, 5453])).
% 82.57/52.16 tff(5466,plain,
% 82.57/52.16 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 0))))),
% 82.57/52.16 inference(bind,[status(th)],[])).
% 82.57/52.16 tff(5467,plain,
% 82.57/52.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 82.57/52.16 inference(quant_intro,[status(thm)],[5466])).
% 82.57/52.16 tff(5468,plain,
% 82.57/52.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5469,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 82.57/52.16 tff(5470,plain,
% 82.57/52.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 82.57/52.16 tff(5471,plain,(
% 82.57/52.16 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 82.57/52.16 inference(skolemize,[status(sab)],[5470])).
% 82.57/52.16 tff(5472,plain,
% 82.57/52.16 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5471, 5467])).
% 82.57/52.16 tff(5473,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB27)) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB27)) | (~v127(constB27, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5474,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB27)) | (~v127(constB27, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5475,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB27)) | (~v127(constB27, 0))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5474, 5473])).
% 82.57/52.16 tff(5476,plain,
% 82.57/52.16 ($false),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5475, 5472, 5453, 5465])).
% 82.57/52.16 tff(5477,plain,(~v127(constB27, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.16 tff(5478,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5479,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5480,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 82.57/52.16 tff(5481,plain,
% 82.57/52.16 (v127(constB27, 0) | (~v129(constB28, 0))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5480, 914, 5274])).
% 82.57/52.16 tff(5482,plain,
% 82.57/52.16 (~v129(constB28, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5481, 5477])).
% 82.57/52.16 tff(5483,plain,
% 82.57/52.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5484,plain,
% 82.57/52.16 (((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0)) <=> ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5485,plain,
% 82.57/52.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5484])).
% 82.57/52.16 tff(5486,plain,
% 82.57/52.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5485, 5483])).
% 82.57/52.16 tff(5487,plain,
% 82.57/52.16 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5488,plain,
% 82.57/52.16 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 82.57/52.16 tff(5489,plain,
% 82.57/52.16 ((~v90(constB28, 0)) | v129(constB28, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5488, 929, 5373])).
% 82.57/52.16 tff(5490,plain,
% 82.57/52.16 (~v90(constB28, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5489, 5482])).
% 82.57/52.16 tff(5491,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5492,plain,
% 82.57/52.16 (((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))) <=> (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5493,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5492])).
% 82.57/52.16 tff(5494,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5493, 5491])).
% 82.57/52.16 tff(5495,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5496,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 82.57/52.16 tff(5497,plain,
% 82.57/52.16 (v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5496, 140, 5387])).
% 82.57/52.16 tff(5498,plain,
% 82.57/52.16 (v90(constB28, 0) | (~v90(constB29, 0))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5497, 5399])).
% 82.57/52.16 tff(5499,plain,
% 82.57/52.16 (~v90(constB29, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5498, 5490])).
% 82.57/52.16 tff(5500,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5501,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5502,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 82.57/52.16 tff(5503,plain,
% 82.57/52.16 ((~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5502, 956, 5499])).
% 82.57/52.16 tff(5504,plain,
% 82.57/52.16 (v121(constB29)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5503, 5452, 5408])).
% 82.57/52.16 tff(5505,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5506,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5507,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 82.57/52.16 tff(5508,plain,
% 82.57/52.16 (v130(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5507, 1108, 5504])).
% 82.57/52.16 tff(5509,assumption,(v26(constB29)), introduced(assumption)).
% 82.57/52.16 tff(5510,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5511,plain,
% 82.57/52.16 ($false),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5510, 19, 5509])).
% 82.57/52.16 tff(5512,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.16 tff(5513,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5514,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5515,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 82.57/52.16 tff(5516,plain,
% 82.57/52.16 ((~v130(constB29, 1)) | v127(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5515, 818, 5512])).
% 82.57/52.16 tff(5517,plain,
% 82.57/52.16 (v127(constB29, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5516, 5508])).
% 82.57/52.16 tff(5518,plain,
% 82.57/52.16 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5519,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 82.57/52.16 tff(5520,plain,
% 82.57/52.16 (nextState(constB29, constB30)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 82.57/52.16 tff(5521,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5522,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5523,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 82.57/52.16 tff(5524,plain,
% 82.57/52.16 ((~v127(constB29, 1)) | v129(constB30, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5523, 833, 5520])).
% 82.57/52.16 tff(5525,plain,
% 82.57/52.16 (v129(constB30, 1)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5524, 5517])).
% 82.57/52.16 tff(5526,assumption,(~v90(constB30, 0)), introduced(assumption)).
% 82.57/52.16 tff(5527,assumption,(~v26(constB29)), introduced(assumption)).
% 82.57/52.16 tff(5528,assumption,(v119(constB29)), introduced(assumption)).
% 82.57/52.16 tff(5529,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB29)) | v130(constB29, 0))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5530,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB29)) | v130(constB29, 0))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5531,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB29)) | v130(constB29, 0)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 82.57/52.16 tff(5532,plain,
% 82.57/52.16 (v130(constB29, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5531, 464, 5528])).
% 82.57/52.16 tff(5533,plain,
% 82.57/52.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5534,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5535,plain,
% 82.57/52.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 82.57/52.16 tff(5536,plain,
% 82.57/52.16 ((~v130(constB29, 0)) | v127(constB29, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5535, 478, 5527])).
% 82.57/52.16 tff(5537,plain,
% 82.57/52.16 (v127(constB29, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5536, 5532])).
% 82.57/52.16 tff(5538,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5539,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5540,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 82.57/52.16 tff(5541,plain,
% 82.57/52.16 ((~v127(constB29, 0)) | v129(constB30, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5540, 493, 5520])).
% 82.57/52.16 tff(5542,plain,
% 82.57/52.16 (v129(constB30, 0)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5541, 5537])).
% 82.57/52.16 tff(5543,plain,
% 82.57/52.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5544,plain,
% 82.57/52.16 ((v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0))) <=> (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5545,plain,
% 82.57/52.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5544])).
% 82.57/52.16 tff(5546,plain,
% 82.57/52.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5545, 5543])).
% 82.57/52.16 tff(5547,plain,
% 82.57/52.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5548,plain,
% 82.57/52.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 82.57/52.16 tff(5549,plain,
% 82.57/52.16 ((~v129(constB30, 0)) | (~v100(constB30))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5548, 508, 5526])).
% 82.57/52.16 tff(5550,plain,
% 82.57/52.16 (~v100(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5549, 5542])).
% 82.57/52.16 tff(5551,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5552,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5553,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 82.57/52.16 tff(5554,plain,
% 82.57/52.16 (~v104(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5553, 306, 5520, 5384])).
% 82.57/52.16 tff(5555,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5556,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5557,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 82.57/52.16 tff(5558,plain,
% 82.57/52.16 (v102(constB30) | v104(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5557, 320, 5520])).
% 82.57/52.16 tff(5559,plain,
% 82.57/52.16 (v102(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5558, 5554])).
% 82.57/52.16 tff(5560,plain,
% 82.57/52.16 (v1(constB30) <=> v1(constB30)),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5561,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 82.57/52.16 tff(5562,plain,
% 82.57/52.16 (v1(constB30)),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 82.57/52.16 tff(5563,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5564,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5565,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5564, 5563])).
% 82.57/52.16 tff(5566,plain,
% 82.57/52.16 (v101(constB30) | (~v102(constB30))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5565, 338, 5520, 5562])).
% 82.57/52.16 tff(5567,plain,
% 82.57/52.16 (v101(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5566, 5559])).
% 82.57/52.16 tff(5568,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5569,plain,
% 82.57/52.16 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5570,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5569])).
% 82.57/52.16 tff(5571,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 82.57/52.16 inference(transitivity,[status(thm)],[5570, 5568])).
% 82.57/52.16 tff(5572,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 82.57/52.16 inference(quant_inst,[status(thm)],[])).
% 82.57/52.16 tff(5573,plain,
% 82.57/52.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 82.57/52.16 inference(modus_ponens,[status(thm)],[5572, 5571])).
% 82.57/52.16 tff(5574,plain,
% 82.57/52.16 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5573, 353, 5520])).
% 82.57/52.16 tff(5575,plain,
% 82.57/52.16 (v100(constB30) | (~v110(constB30))),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5574, 5567])).
% 82.57/52.16 tff(5576,plain,
% 82.57/52.16 (~v110(constB30)),
% 82.57/52.16 inference(unit_resolution,[status(thm)],[5575, 5550])).
% 82.57/52.16 tff(5577,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5578,plain,
% 82.57/52.16 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 82.57/52.16 inference(rewrite,[status(thm)],[])).
% 82.57/52.16 tff(5579,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 82.57/52.16 inference(monotonicity,[status(thm)],[5578])).
% 82.57/52.16 tff(5580,plain,
% 82.57/52.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5579, 5577])).
% 82.57/52.17 tff(5581,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5582,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 82.57/52.17 tff(5583,plain,
% 82.57/52.17 (v110(constB30) | (~v108(constB29))),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5582, 288, 5520])).
% 82.57/52.17 tff(5584,plain,
% 82.57/52.17 (~v108(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5583, 5576])).
% 82.57/52.17 tff(5585,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5586,plain,
% 82.57/52.17 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5587,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5586])).
% 82.57/52.17 tff(5588,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5587, 5585])).
% 82.57/52.17 tff(5589,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5590,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 82.57/52.17 tff(5591,plain,
% 82.57/52.17 (~v112(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5590, 268, 5584])).
% 82.57/52.17 tff(5592,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5593,plain,
% 82.57/52.17 ((v26(constB29) | (~v113(constB29)) | v112(constB29)) <=> (v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5594,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | v112(constB29) | (~v113(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5593])).
% 82.57/52.17 tff(5595,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5594, 5592])).
% 82.57/52.17 tff(5596,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5597,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | v112(constB29) | (~v113(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5596, 5595])).
% 82.57/52.17 tff(5598,plain,
% 82.57/52.17 (v112(constB29) | (~v113(constB29))),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5597, 256, 5527])).
% 82.57/52.17 tff(5599,plain,
% 82.57/52.17 (~v113(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5598, 5591])).
% 82.57/52.17 tff(5600,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5601,plain,
% 82.57/52.17 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5602,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5601])).
% 82.57/52.17 tff(5603,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5602, 5600])).
% 82.57/52.17 tff(5604,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5605,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 82.57/52.17 tff(5606,plain,
% 82.57/52.17 (~v114(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5605, 242, 5599])).
% 82.57/52.17 tff(5607,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v119(constB29)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5608,plain,
% 82.57/52.17 (((~v119(constB29)) | v118(constB29)) <=> (v118(constB29) | (~v119(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5609,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v119(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5608])).
% 82.57/52.17 tff(5610,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5609, 5607])).
% 82.57/52.17 tff(5611,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB29)) | v118(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5612,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v119(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 82.57/52.17 tff(5613,plain,
% 82.57/52.17 (v118(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5612, 175, 5528])).
% 82.57/52.17 tff(5614,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5615,plain,
% 82.57/52.17 (((~v118(constB29)) | v117(constB29)) <=> (v117(constB29) | (~v118(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5616,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5615])).
% 82.57/52.17 tff(5617,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5616, 5614])).
% 82.57/52.17 tff(5618,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5619,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 82.57/52.17 tff(5620,plain,
% 82.57/52.17 (v117(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5619, 186, 5613])).
% 82.57/52.17 tff(5621,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB29)) | v116(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5622,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5623,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB29)) | v116(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 82.57/52.17 tff(5624,plain,
% 82.57/52.17 (v116(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5623, 200, 5620])).
% 82.57/52.17 tff(5625,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5626,plain,
% 82.57/52.17 (((~v116(constB29)) | v115(constB29)) <=> (v115(constB29) | (~v116(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5627,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v116(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5626])).
% 82.57/52.17 tff(5628,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5627, 5625])).
% 82.57/52.17 tff(5629,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5630,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v116(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 82.57/52.17 tff(5631,plain,
% 82.57/52.17 (v115(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5630, 214, 5624])).
% 82.57/52.17 tff(5632,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5633,plain,
% 82.57/52.17 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5634,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5633])).
% 82.57/52.17 tff(5635,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5634, 5632])).
% 82.57/52.17 tff(5636,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5637,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 82.57/52.17 tff(5638,plain,
% 82.57/52.17 ($false),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5637, 228, 5631, 5606])).
% 82.57/52.17 tff(5639,plain,((~v119(constB29)) | v26(constB29) | v90(constB30, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.17 tff(5640,plain,
% 82.57/52.17 (~v119(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5639, 5527, 5526])).
% 82.57/52.17 tff(5641,assumption,(~v100(constB30)), introduced(assumption)).
% 82.57/52.17 tff(5642,plain,
% 82.57/52.17 (~v110(constB30)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5575, 5641])).
% 82.57/52.17 tff(5643,plain,
% 82.57/52.17 (~v108(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5583, 5642])).
% 82.57/52.17 tff(5644,plain,
% 82.57/52.17 (~v112(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5590, 268, 5643])).
% 82.57/52.17 tff(5645,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v26(constB29)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5646,plain,
% 82.57/52.17 (((~v26(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v26(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5647,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v26(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5646])).
% 82.57/52.17 tff(5648,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5647, 5645])).
% 82.57/52.17 tff(5649,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB29)) | v108(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5650,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v26(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 82.57/52.17 tff(5651,plain,
% 82.57/52.17 (~v26(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5650, 685, 5643])).
% 82.57/52.17 tff(5652,plain,
% 82.57/52.17 (~v113(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5597, 256, 5651, 5644])).
% 82.57/52.17 tff(5653,plain,
% 82.57/52.17 (~v114(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5605, 242, 5652])).
% 82.57/52.17 tff(5654,plain,
% 82.57/52.17 (~v115(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5637, 228, 5653])).
% 82.57/52.17 tff(5655,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v123(constB29)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v123(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5656,plain,
% 82.57/52.17 (((~v123(constB29)) | v115(constB29)) <=> (v115(constB29) | (~v123(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5657,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB29) | (~v123(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5656])).
% 82.57/52.17 tff(5658,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v123(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5657, 5655])).
% 82.57/52.17 tff(5659,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB29)) | v115(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5660,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB29) | (~v123(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 82.57/52.17 tff(5661,plain,
% 82.57/52.17 (~v123(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5660, 1486, 5654])).
% 82.57/52.17 tff(5662,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5663,plain,
% 82.57/52.17 (((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)) <=> ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5664,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5663])).
% 82.57/52.17 tff(5665,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5664, 5662])).
% 82.57/52.17 tff(5666,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5667,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5666, 5665])).
% 82.57/52.17 tff(5668,plain,
% 82.57/52.17 ((~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5667, 526, 5520])).
% 82.57/52.17 tff(5669,plain,
% 82.57/52.17 (~v90(constB29, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5668, 5641, 5526])).
% 82.57/52.17 tff(5670,plain,
% 82.57/52.17 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ((~v120(VarCurr)) | v90(VarCurr, 0)))),
% 82.57/52.17 inference(bind,[status(th)],[])).
% 82.57/52.17 tff(5671,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(quant_intro,[status(thm)],[5670])).
% 82.57/52.17 tff(5672,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5673,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 82.57/52.17 tff(5674,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 82.57/52.17 tff(5675,plain,(
% 82.57/52.17 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(skolemize,[status(sab)],[5674])).
% 82.57/52.17 tff(5676,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5675, 5671])).
% 82.57/52.17 tff(5677,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB29)) | v90(constB29, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5678,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB29)) | v90(constB29, 0))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5679,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB29)) | v90(constB29, 0)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 82.57/52.17 tff(5680,plain,
% 82.57/52.17 (~v120(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5679, 5676, 5669])).
% 82.57/52.17 tff(5681,plain,
% 82.57/52.17 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ((~v124(VarCurr)) | v90(VarCurr, 0)))),
% 82.57/52.17 inference(bind,[status(th)],[])).
% 82.57/52.17 tff(5682,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(quant_intro,[status(thm)],[5681])).
% 82.57/52.17 tff(5683,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5684,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 82.57/52.17 tff(5685,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 82.57/52.17 tff(5686,plain,(
% 82.57/52.17 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(skolemize,[status(sab)],[5685])).
% 82.57/52.17 tff(5687,plain,
% 82.57/52.17 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5686, 5682])).
% 82.57/52.17 tff(5688,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5689,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5690,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 82.57/52.17 tff(5691,plain,
% 82.57/52.17 (~v124(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5690, 5687, 5669])).
% 82.57/52.17 tff(5692,plain,
% 82.57/52.17 (~v116(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5630, 214, 5654])).
% 82.57/52.17 tff(5693,plain,
% 82.57/52.17 (~v117(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5623, 200, 5692])).
% 82.57/52.17 tff(5694,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5695,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5696,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5695, 5694])).
% 82.57/52.17 tff(5697,plain,
% 82.57/52.17 (~v121(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5696, 967, 5693])).
% 82.57/52.17 tff(5698,assumption,(~v120(constB29)), introduced(assumption)).
% 82.57/52.17 tff(5699,assumption,(~v90(constB29, 2)), introduced(assumption)).
% 82.57/52.17 tff(5700,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5701,plain,
% 82.57/52.17 (((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))) <=> (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5702,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5701])).
% 82.57/52.17 tff(5703,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5702, 5700])).
% 82.57/52.17 tff(5704,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5705,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 82.57/52.17 tff(5706,plain,
% 82.57/52.17 (v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5705, 98, 5520])).
% 82.57/52.17 tff(5707,plain,
% 82.57/52.17 (~v90(constB30, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5706, 5641, 5699])).
% 82.57/52.17 tff(5708,assumption,(~v124(constB29)), introduced(assumption)).
% 82.57/52.17 tff(5709,assumption,(~v121(constB29)), introduced(assumption)).
% 82.57/52.17 tff(5710,assumption,(~v90(constB30, 2)), introduced(assumption)).
% 82.57/52.17 tff(5711,plain,
% 82.57/52.17 (~v119(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5639, 5526, 5527])).
% 82.57/52.17 tff(5712,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5713,plain,
% 82.57/52.17 (((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2)) <=> ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5714,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2)))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5713])).
% 82.57/52.17 tff(5715,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5714, 5712])).
% 82.57/52.17 tff(5716,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5717,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB29, 2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 2)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 82.57/52.17 tff(5718,plain,
% 82.57/52.17 ((~v90(constB29, 2)) | v100(constB30) | v90(constB30, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5717, 1374, 5520])).
% 82.57/52.17 tff(5719,plain,
% 82.57/52.17 (~v90(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5718, 5641, 5710])).
% 82.57/52.17 tff(5720,plain,
% 82.57/52.17 (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5502, 956, 5709])).
% 82.57/52.17 tff(5721,plain,
% 82.57/52.17 (~v90(constB29, 1)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5720, 5669, 5719])).
% 82.57/52.17 tff(5722,assumption,(~v119(constB29)), introduced(assumption)).
% 82.57/52.17 tff(5723,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5724,plain,
% 82.57/52.17 ((v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2)) <=> (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5725,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5724])).
% 82.57/52.17 tff(5726,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5725, 5723])).
% 82.57/52.17 tff(5727,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5728,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 82.57/52.17 tff(5729,plain,
% 82.57/52.17 (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5728, 161, 5722])).
% 82.57/52.17 tff(5730,plain,
% 82.57/52.17 ($false),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5729, 5721, 5669, 5719])).
% 82.57/52.17 tff(5731,plain,(v100(constB30) | v119(constB29) | v121(constB29) | v90(constB30, 2) | v90(constB30, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.17 tff(5732,plain,
% 82.57/52.17 (v100(constB30)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5731, 5711, 5709, 5710, 5526])).
% 82.57/52.17 tff(5733,plain,
% 82.57/52.17 (~v129(constB30, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5549, 5732])).
% 82.57/52.17 tff(5734,plain,
% 82.57/52.17 (~v127(constB29, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5541, 5733])).
% 82.57/52.17 tff(5735,plain,
% 82.57/52.17 (~v130(constB29, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5536, 5734])).
% 82.57/52.17 tff(5736,plain,
% 82.57/52.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5737,plain,
% 82.57/52.17 ((v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2))) <=> (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5738,plain,
% 82.57/52.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5737])).
% 82.57/52.17 tff(5739,plain,
% 82.57/52.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5738, 5736])).
% 82.57/52.17 tff(5740,plain,
% 82.57/52.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5741,plain,
% 82.57/52.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 82.57/52.17 tff(5742,plain,
% 82.57/52.17 ((~v129(constB30, 2)) | (~v100(constB30))),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5741, 1338, 5710])).
% 82.57/52.17 tff(5743,plain,
% 82.57/52.17 (~v129(constB30, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5742, 5732])).
% 82.57/52.17 tff(5744,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5745,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5746,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5745, 5744])).
% 82.57/52.17 tff(5747,plain,
% 82.57/52.17 ((~v127(constB29, 2)) | v129(constB30, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5746, 1230, 5520])).
% 82.57/52.17 tff(5748,plain,
% 82.57/52.17 (~v127(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5747, 5743])).
% 82.57/52.17 tff(5749,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5750,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5751,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 82.57/52.17 tff(5752,plain,
% 82.57/52.17 ((~v130(constB29, 2)) | v127(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5751, 1212, 5527])).
% 82.57/52.17 tff(5753,plain,
% 82.57/52.17 (~v130(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5752, 5748])).
% 82.57/52.17 tff(5754,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB29)) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB29)) | v130(constB29, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5755,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB29)) | v130(constB29, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5756,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB29)) | v130(constB29, 2)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 82.57/52.17 tff(5757,plain,
% 82.57/52.17 (~v123(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5756, 1567, 5753])).
% 82.57/52.17 tff(5758,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5759,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5760,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 82.57/52.17 tff(5761,plain,
% 82.57/52.17 (~v122(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5760, 1198, 5753])).
% 82.57/52.17 tff(5762,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5763,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5764,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | v130(constB29, 0)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 82.57/52.17 tff(5765,plain,
% 82.57/52.17 (v119(constB29) | v122(constB29) | v123(constB29) | v130(constB29, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5764, 2180, 5708, 5709, 5698])).
% 82.57/52.17 tff(5766,plain,
% 82.57/52.17 ($false),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5765, 5761, 5757, 5711, 5735])).
% 82.57/52.17 tff(5767,plain,(v90(constB30, 0) | v124(constB29) | v121(constB29) | v120(constB29) | v26(constB29) | v90(constB30, 2)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.17 tff(5768,plain,
% 82.57/52.17 (v90(constB30, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5767, 5707, 5709, 5698, 5527, 5708])).
% 82.57/52.17 tff(5769,plain,
% 82.57/52.17 (~v113(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5598, 5644])).
% 82.57/52.17 tff(5770,plain,
% 82.57/52.17 (~v114(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5605, 242, 5769])).
% 82.57/52.17 tff(5771,assumption,(v90(constB30, 0)), introduced(assumption)).
% 82.57/52.17 tff(5772,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5773,plain,
% 82.57/52.17 (((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))) <=> (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5774,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5773])).
% 82.57/52.17 tff(5775,plain,
% 82.57/52.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5774, 5772])).
% 82.57/52.17 tff(5776,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5777,plain,
% 82.57/52.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5776, 5775])).
% 82.57/52.17 tff(5778,plain,
% 82.57/52.17 (v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5777, 140, 5520])).
% 82.57/52.17 tff(5779,plain,
% 82.57/52.17 (v90(constB29, 0)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5778, 5641, 5771])).
% 82.57/52.17 tff(5780,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5781,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5782,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 82.57/52.17 tff(5783,plain,
% 82.57/52.17 ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5782, 614, 5698])).
% 82.57/52.17 tff(5784,plain,
% 82.57/52.17 (v90(constB29, 1)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5783, 5719, 5779])).
% 82.57/52.17 tff(5785,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5786,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5787,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5786, 5785])).
% 82.57/52.17 tff(5788,plain,
% 82.57/52.17 (v122(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5787, 1187, 5779, 5784, 5719])).
% 82.57/52.17 tff(5789,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB29)) | v116(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5790,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5791,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB29)) | v116(constB29)),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 82.57/52.17 tff(5792,plain,
% 82.57/52.17 (v116(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5791, 1257, 5788])).
% 82.57/52.17 tff(5793,plain,
% 82.57/52.17 (v115(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5630, 214, 5792])).
% 82.57/52.17 tff(5794,plain,
% 82.57/52.17 ($false),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5637, 228, 5793, 5770])).
% 82.57/52.17 tff(5795,plain,(v100(constB30) | v26(constB29) | v120(constB29) | v90(constB30, 2) | (~v90(constB30, 0))), inference(lemma,lemma(discharge,[]))).
% 82.57/52.17 tff(5796,plain,
% 82.57/52.17 ($false),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5795, 5768, 5707, 5698, 5527, 5641])).
% 82.57/52.17 tff(5797,plain,(v100(constB30) | v120(constB29) | v26(constB29) | v121(constB29) | v124(constB29) | v90(constB29, 2)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.17 tff(5798,plain,
% 82.57/52.17 (v90(constB29, 2)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5797, 5697, 5641, 5651, 5691, 5680])).
% 82.57/52.17 tff(5799,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v125(constB29)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v125(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5800,plain,
% 82.57/52.17 (((~v125(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v125(constB29)))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5801,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v125(constB29))))),
% 82.57/52.17 inference(monotonicity,[status(thm)],[5800])).
% 82.57/52.17 tff(5802,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v125(constB29)))),
% 82.57/52.17 inference(transitivity,[status(thm)],[5801, 5799])).
% 82.57/52.17 tff(5803,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB29)) | v113(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5804,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v125(constB29))),
% 82.57/52.17 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 82.57/52.17 tff(5805,plain,
% 82.57/52.17 (~v125(constB29)),
% 82.57/52.17 inference(unit_resolution,[status(thm)],[5804, 1946, 5652])).
% 82.57/52.17 tff(5806,plain,
% 82.57/52.17 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))),
% 82.57/52.17 inference(rewrite,[status(thm)],[])).
% 82.57/52.17 tff(5807,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29))),
% 82.57/52.17 inference(quant_inst,[status(thm)],[])).
% 82.57/52.17 tff(5808,plain,
% 82.57/52.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5807, 5806])).
% 82.57/52.18 tff(5809,plain,
% 82.57/52.18 ((~v90(constB29, 1)) | (~v90(constB29, 2)) | v125(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5808, 1934, 5669])).
% 82.57/52.18 tff(5810,plain,
% 82.57/52.18 (~v90(constB29, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5809, 5798, 5805])).
% 82.57/52.18 tff(5811,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5812,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5813,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 82.57/52.18 tff(5814,plain,
% 82.57/52.18 (v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5813, 1475, 5669])).
% 82.57/52.18 tff(5815,plain,
% 82.57/52.18 ($false),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5814, 5810, 5798, 5661])).
% 82.57/52.18 tff(5816,plain,(v100(constB30) | v90(constB30, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.18 tff(5817,plain,
% 82.57/52.18 (v100(constB30)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5816, 5526])).
% 82.57/52.18 tff(5818,plain,
% 82.57/52.18 (~v129(constB30, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5548, 508, 5817, 5526])).
% 82.57/52.18 tff(5819,plain,
% 82.57/52.18 (~v127(constB29, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5541, 5818])).
% 82.57/52.18 tff(5820,plain,
% 82.57/52.18 (v26(constB29) | (~v130(constB29, 0))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5535, 478, 5819])).
% 82.57/52.18 tff(5821,plain,
% 82.57/52.18 (~v130(constB29, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5820, 5527])).
% 82.57/52.18 tff(5822,assumption,(~v130(constB29, 0)), introduced(assumption)).
% 82.57/52.18 tff(5823,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB29)) | v130(constB29, 0))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5824,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB29)) | v130(constB29, 0))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5825,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB29)) | v130(constB29, 0)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 82.57/52.18 tff(5826,plain,
% 82.57/52.18 (~v123(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5825, 1664, 5822])).
% 82.57/52.18 tff(5827,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5828,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5829,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 82.57/52.18 tff(5830,plain,
% 82.57/52.18 (~v121(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5829, 1146, 5822])).
% 82.57/52.18 tff(5831,assumption,(~v90(constB29, 0)), introduced(assumption)).
% 82.57/52.18 tff(5832,plain,
% 82.57/52.18 (~v124(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5690, 5687, 5831])).
% 82.57/52.18 tff(5833,plain,
% 82.57/52.18 (~v120(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5679, 5676, 5831])).
% 82.57/52.18 tff(5834,plain,
% 82.57/52.18 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ((~v124(VarCurr)) | v90(VarCurr, 2)))),
% 82.57/52.18 inference(bind,[status(th)],[])).
% 82.57/52.18 tff(5835,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 82.57/52.18 inference(quant_intro,[status(thm)],[5834])).
% 82.57/52.18 tff(5836,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5837,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 82.57/52.18 tff(5838,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 82.57/52.18 tff(5839,plain,(
% 82.57/52.18 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 82.57/52.18 inference(skolemize,[status(sab)],[5838])).
% 82.57/52.18 tff(5840,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5839, 5835])).
% 82.57/52.18 tff(5841,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5842,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5843,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 82.57/52.18 tff(5844,plain,
% 82.57/52.18 (~v124(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5843, 5840, 3353])).
% 82.57/52.18 tff(5845,plain,
% 82.57/52.18 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 0))))),
% 82.57/52.18 inference(bind,[status(th)],[])).
% 82.57/52.18 tff(5846,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 82.57/52.18 inference(quant_intro,[status(thm)],[5845])).
% 82.57/52.18 tff(5847,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5848,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 82.57/52.18 tff(5849,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 82.57/52.18 tff(5850,plain,(
% 82.57/52.18 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 82.57/52.18 inference(skolemize,[status(sab)],[5849])).
% 82.57/52.18 tff(5851,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5850, 5846])).
% 82.57/52.18 tff(5852,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB27)) | (~v90(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB27)) | (~v90(constB27, 0)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5853,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB27)) | (~v90(constB27, 0)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5854,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB27)) | (~v90(constB27, 0))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5853, 5852])).
% 82.57/52.18 tff(5855,plain,
% 82.57/52.18 (~v123(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5854, 5851, 3440])).
% 82.57/52.18 tff(5856,assumption,(v122(constB29)), introduced(assumption)).
% 82.57/52.18 tff(5857,plain,
% 82.57/52.18 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ((~v122(VarCurr)) | v90(VarCurr, 0)))),
% 82.57/52.18 inference(bind,[status(th)],[])).
% 82.57/52.18 tff(5858,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.18 inference(quant_intro,[status(thm)],[5857])).
% 82.57/52.18 tff(5859,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5860,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 82.57/52.18 tff(5861,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 82.57/52.18 tff(5862,plain,(
% 82.57/52.18 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.18 inference(skolemize,[status(sab)],[5861])).
% 82.57/52.18 tff(5863,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5862, 5858])).
% 82.57/52.18 tff(5864,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5865,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5866,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 82.57/52.18 tff(5867,plain,
% 82.57/52.18 (v90(constB29, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5866, 5863, 5856])).
% 82.57/52.18 tff(5868,plain,
% 82.57/52.18 (v90(constB28, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5498, 5867])).
% 82.57/52.18 tff(5869,assumption,(~v90(constB27, 1)), introduced(assumption)).
% 82.57/52.18 tff(5870,plain,
% 82.57/52.18 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ((~v122(VarCurr)) | v90(VarCurr, 1)))),
% 82.57/52.18 inference(bind,[status(th)],[])).
% 82.57/52.18 tff(5871,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(quant_intro,[status(thm)],[5870])).
% 82.57/52.18 tff(5872,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5873,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 82.57/52.18 tff(5874,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5873, 5872])).
% 82.57/52.18 tff(5875,plain,(
% 82.57/52.18 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(skolemize,[status(sab)],[5874])).
% 82.57/52.18 tff(5876,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5875, 5871])).
% 82.57/52.18 tff(5877,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB29)) | v90(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB29)) | v90(constB29, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5878,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB29)) | v90(constB29, 1))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5879,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB29)) | v90(constB29, 1)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 82.57/52.18 tff(5880,plain,
% 82.57/52.18 (v90(constB29, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5879, 5876, 5856])).
% 82.57/52.18 tff(5881,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5882,plain,
% 82.57/52.18 (((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))) <=> (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5883,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5882])).
% 82.57/52.18 tff(5884,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5883, 5881])).
% 82.57/52.18 tff(5885,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5886,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5885, 5884])).
% 82.57/52.18 tff(5887,plain,
% 82.57/52.18 (v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5886, 119, 5387])).
% 82.57/52.18 tff(5888,plain,
% 82.57/52.18 (v90(constB28, 1) | (~v90(constB29, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5887, 5399])).
% 82.57/52.18 tff(5889,plain,
% 82.57/52.18 (v90(constB28, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5888, 5880])).
% 82.57/52.18 tff(5890,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5891,plain,
% 82.57/52.18 (((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))) <=> (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5892,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5891])).
% 82.57/52.18 tff(5893,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5892, 5890])).
% 82.57/52.18 tff(5894,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5895,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5894, 5893])).
% 82.57/52.18 tff(5896,plain,
% 82.57/52.18 (v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5895, 119, 5274])).
% 82.57/52.18 tff(5897,plain,
% 82.57/52.18 (v100(constB28)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5896, 5889, 5869])).
% 82.57/52.18 tff(5898,plain,
% 82.57/52.18 (v129(constB28, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5488, 929, 5897, 5868])).
% 82.57/52.18 tff(5899,plain,
% 82.57/52.18 (v127(constB27, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5481, 5898])).
% 82.57/52.18 tff(5900,plain,
% 82.57/52.18 (~v26(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5475, 5472, 5899])).
% 82.57/52.18 tff(5901,plain,
% 82.57/52.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5902,plain,
% 82.57/52.18 (((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1)) <=> ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5903,plain,
% 82.57/52.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5902])).
% 82.57/52.18 tff(5904,plain,
% 82.57/52.18 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5903, 5901])).
% 82.57/52.18 tff(5905,plain,
% 82.57/52.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5906,plain,
% 82.57/52.18 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 82.57/52.18 tff(5907,plain,
% 82.57/52.18 (v129(constB28, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5906, 416, 5897, 5889])).
% 82.57/52.18 tff(5908,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5909,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5910,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 82.57/52.18 tff(5911,plain,
% 82.57/52.18 (v127(constB27, 1) | (~v129(constB28, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5910, 401, 5274])).
% 82.57/52.18 tff(5912,plain,
% 82.57/52.18 (v127(constB27, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5911, 5907])).
% 82.57/52.18 tff(5913,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5914,plain,
% 82.57/52.18 ((v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1))) <=> ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5915,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5914])).
% 82.57/52.18 tff(5916,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5915, 5913])).
% 82.57/52.18 tff(5917,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5918,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 82.57/52.18 tff(5919,plain,
% 82.57/52.18 (v130(constB27, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5918, 383, 5912, 5900])).
% 82.57/52.18 tff(5920,assumption,(~v123(constB27)), introduced(assumption)).
% 82.57/52.18 tff(5921,assumption,(~v124(constB27)), introduced(assumption)).
% 82.57/52.18 tff(5922,plain,
% 82.57/52.18 (v130(constB27, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5463, 896, 5899, 5900])).
% 82.57/52.18 tff(5923,plain,
% 82.57/52.18 (~v120(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5456, 882, 5922])).
% 82.57/52.18 tff(5924,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5925,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5926,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 82.57/52.18 tff(5927,plain,
% 82.57/52.18 (~v119(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5926, 369, 5919])).
% 82.57/52.18 tff(5928,plain,
% 82.57/52.18 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ((~v121(VarCurr)) | v90(VarCurr, 1)))),
% 82.57/52.18 inference(bind,[status(th)],[])).
% 82.57/52.18 tff(5929,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(quant_intro,[status(thm)],[5928])).
% 82.57/52.18 tff(5930,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5931,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 82.57/52.18 tff(5932,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 82.57/52.18 tff(5933,plain,(
% 82.57/52.18 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(skolemize,[status(sab)],[5932])).
% 82.57/52.18 tff(5934,plain,
% 82.57/52.18 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5933, 5929])).
% 82.57/52.18 tff(5935,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB27)) | v90(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB27)) | v90(constB27, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5936,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB27)) | v90(constB27, 1))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5937,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB27)) | v90(constB27, 1)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5936, 5935])).
% 82.57/52.18 tff(5938,plain,
% 82.57/52.18 (~v121(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5937, 5934, 5869])).
% 82.57/52.18 tff(5939,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB27)) | v90(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB27)) | v90(constB27, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5940,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB27)) | v90(constB27, 1))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5941,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB27)) | v90(constB27, 1)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 82.57/52.18 tff(5942,plain,
% 82.57/52.18 (~v122(constB27)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5941, 5876, 5869])).
% 82.57/52.18 tff(5943,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5944,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5945,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 82.57/52.18 tff(5946,plain,
% 82.57/52.18 (v119(constB27) | v120(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5945, 2135, 5942, 5938])).
% 82.57/52.18 tff(5947,plain,
% 82.57/52.18 ($false),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5946, 5927, 5923, 5921, 5920, 5919])).
% 82.57/52.18 tff(5948,plain,((~v122(constB29)) | v124(constB27) | v123(constB27) | v90(constB27, 1)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.18 tff(5949,plain,
% 82.57/52.18 (~v122(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5948, 5855, 3398, 5844])).
% 82.57/52.18 tff(5950,plain,
% 82.57/52.18 (v120(constB29) | v121(constB29) | v123(constB29) | v124(constB29)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5764, 2180, 5722, 5949, 5822])).
% 82.57/52.18 tff(5951,plain,
% 82.57/52.18 ($false),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5950, 5833, 5832, 5830, 5826])).
% 82.57/52.18 tff(5952,plain,(v90(constB29, 0) | v119(constB29) | v130(constB29, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.18 tff(5953,plain,
% 82.57/52.18 ($false),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5952, 5821, 5640, 5499])).
% 82.57/52.18 tff(5954,plain,(v26(constB29) | v90(constB30, 0)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.18 tff(5955,plain,
% 82.57/52.18 (v90(constB30, 0)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5954, 5512])).
% 82.57/52.18 tff(5956,plain,
% 82.57/52.18 (v100(constB30)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5778, 5955, 5499])).
% 82.57/52.18 tff(5957,plain,
% 82.57/52.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5958,plain,
% 82.57/52.18 ((v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1))) <=> (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5959,plain,
% 82.57/52.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5958])).
% 82.57/52.18 tff(5960,plain,
% 82.57/52.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5959, 5957])).
% 82.57/52.18 tff(5961,plain,
% 82.57/52.18 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5962,plain,
% 82.57/52.18 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5961, 5960])).
% 82.57/52.18 tff(5963,plain,
% 82.57/52.18 (v90(constB30, 1) | (~v129(constB30, 1))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5962, 848, 5956])).
% 82.57/52.18 tff(5964,plain,
% 82.57/52.18 (v90(constB30, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5963, 5525])).
% 82.57/52.18 tff(5965,plain,
% 82.57/52.18 ((~v1(constB31)) <=> (~v1(constB31))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5966,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 82.57/52.18 tff(5967,plain,
% 82.57/52.18 (~v1(constB31)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 82.57/52.18 tff(5968,plain,
% 82.57/52.18 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5969,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 82.57/52.18 tff(5970,plain,
% 82.57/52.18 (nextState(constB30, constB31)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5969, 5968])).
% 82.57/52.18 tff(5971,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5972,plain,
% 82.57/52.18 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5973,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5972])).
% 82.57/52.18 tff(5974,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5973, 5971])).
% 82.57/52.18 tff(5975,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5976,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 82.57/52.18 tff(5977,plain,
% 82.57/52.18 (~v101(constB31)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5976, 66, 5970, 5967])).
% 82.57/52.18 tff(5978,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5979,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5980,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 82.57/52.18 tff(5981,plain,
% 82.57/52.18 (v101(constB31) | (~v100(constB31))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5980, 83, 5970])).
% 82.57/52.18 tff(5982,plain,
% 82.57/52.18 (~v100(constB31)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5981, 5977])).
% 82.57/52.18 tff(5983,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5984,plain,
% 82.57/52.18 (((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)) <=> ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5985,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5984])).
% 82.57/52.18 tff(5986,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5985, 5983])).
% 82.57/52.18 tff(5987,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5988,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 82.57/52.18 tff(5989,plain,
% 82.57/52.18 ((~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5988, 866, 5970])).
% 82.57/52.18 tff(5990,plain,
% 82.57/52.18 ((~v90(constB30, 1)) | v90(constB31, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5989, 5982])).
% 82.57/52.18 tff(5991,plain,
% 82.57/52.18 (v90(constB31, 1)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5990, 5964])).
% 82.57/52.18 tff(5992,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5993,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(5994,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 82.57/52.18 tff(5995,plain,
% 82.57/52.18 (~v130(constB29, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[5994, 1052, 5504])).
% 82.57/52.18 tff(5996,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5997,plain,
% 82.57/52.18 ((v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2))) <=> ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(5998,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[5997])).
% 82.57/52.18 tff(5999,plain,
% 82.57/52.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 82.57/52.18 inference(transitivity,[status(thm)],[5998, 5996])).
% 82.57/52.18 tff(6000,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(6001,plain,
% 82.57/52.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 82.57/52.18 tff(6002,plain,
% 82.57/52.18 ((~v127(constB29, 2)) | v130(constB29, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6001, 556, 5512])).
% 82.57/52.18 tff(6003,plain,
% 82.57/52.18 (~v127(constB29, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6002, 5995])).
% 82.57/52.18 tff(6004,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(6005,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(6006,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 82.57/52.18 tff(6007,plain,
% 82.57/52.18 (v127(constB29, 2) | (~v129(constB30, 2))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6006, 574, 5520])).
% 82.57/52.18 tff(6008,plain,
% 82.57/52.18 (~v129(constB30, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6007, 6003])).
% 82.57/52.18 tff(6009,plain,
% 82.57/52.18 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(6010,plain,
% 82.57/52.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(6011,plain,
% 82.57/52.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 82.57/52.18 tff(6012,plain,
% 82.57/52.18 ((~v90(constB30, 2)) | v129(constB30, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6011, 589, 5956])).
% 82.57/52.18 tff(6013,plain,
% 82.57/52.18 (~v90(constB30, 2)),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6012, 6008])).
% 82.57/52.18 tff(6014,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(6015,plain,
% 82.57/52.18 (((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))) <=> (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 82.57/52.18 inference(rewrite,[status(thm)],[])).
% 82.57/52.18 tff(6016,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))))),
% 82.57/52.18 inference(monotonicity,[status(thm)],[6015])).
% 82.57/52.18 tff(6017,plain,
% 82.57/52.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 82.57/52.18 inference(transitivity,[status(thm)],[6016, 6014])).
% 82.57/52.18 tff(6018,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))),
% 82.57/52.18 inference(quant_inst,[status(thm)],[])).
% 82.57/52.18 tff(6019,plain,
% 82.57/52.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))),
% 82.57/52.18 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 82.57/52.18 tff(6020,plain,
% 82.57/52.18 (v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6019, 98, 5970])).
% 82.57/52.18 tff(6021,plain,
% 82.57/52.18 (v90(constB30, 2) | (~v90(constB31, 2))),
% 82.57/52.18 inference(unit_resolution,[status(thm)],[6020, 5982])).
% 82.57/52.19 tff(6022,plain,
% 82.57/52.19 (~v90(constB31, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6021, 6013])).
% 82.57/52.19 tff(6023,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6024,plain,
% 82.57/52.19 (((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)) <=> ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6025,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6024])).
% 82.57/52.19 tff(6026,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6025, 6023])).
% 82.57/52.19 tff(6027,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6028,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 82.57/52.19 tff(6029,plain,
% 82.57/52.19 ((~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6028, 526, 5970])).
% 82.57/52.19 tff(6030,plain,
% 82.57/52.19 ((~v90(constB30, 0)) | v90(constB31, 0)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6029, 5982])).
% 82.57/52.19 tff(6031,plain,
% 82.57/52.19 (v90(constB31, 0)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6030, 5955])).
% 82.57/52.19 tff(6032,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6033,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6034,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6033, 6032])).
% 82.57/52.19 tff(6035,plain,
% 82.57/52.19 ((~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6034, 1187, 6031])).
% 82.57/52.19 tff(6036,plain,
% 82.57/52.19 (v122(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6035, 6022, 5991])).
% 82.57/52.19 tff(6037,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6038,plain,
% 82.57/52.19 (((~v122(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v122(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6039,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v122(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6038])).
% 82.57/52.19 tff(6040,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6039, 6037])).
% 82.57/52.19 tff(6041,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6042,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v122(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6041, 6040])).
% 82.57/52.19 tff(6043,plain,
% 82.57/52.19 (v116(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6042, 1257, 6036])).
% 82.57/52.19 tff(6044,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6045,plain,
% 82.57/52.19 (((~v116(constB31)) | v115(constB31)) <=> (v115(constB31) | (~v116(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6046,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB31) | (~v116(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6045])).
% 82.57/52.19 tff(6047,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6046, 6044])).
% 82.57/52.19 tff(6048,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6049,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB31) | (~v116(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 82.57/52.19 tff(6050,plain,
% 82.57/52.19 (v115(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6049, 214, 6043])).
% 82.57/52.19 tff(6051,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6052,plain,
% 82.57/52.19 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6053,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6052])).
% 82.57/52.19 tff(6054,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6053, 6051])).
% 82.57/52.19 tff(6055,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6056,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 82.57/52.19 tff(6057,plain,
% 82.57/52.19 (v114(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6056, 228, 6050])).
% 82.57/52.19 tff(6058,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6059,plain,
% 82.57/52.19 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6060,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6059])).
% 82.57/52.19 tff(6061,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6060, 6058])).
% 82.57/52.19 tff(6062,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6063,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 82.57/52.19 tff(6064,plain,
% 82.57/52.19 (v113(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6063, 242, 6057])).
% 82.57/52.19 tff(6065,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6066,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6067,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | (~v113(constB31)) | v112(constB31)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 82.57/52.19 tff(6068,plain,
% 82.57/52.19 (v26(constB31) | v112(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6067, 256, 6064])).
% 82.57/52.19 tff(6069,plain,
% 82.57/52.19 (v112(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6068, 5254])).
% 82.57/52.19 tff(6070,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6071,plain,
% 82.57/52.19 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6072,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6071])).
% 82.57/52.19 tff(6073,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6072, 6070])).
% 82.57/52.19 tff(6074,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6075,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 82.57/52.19 tff(6076,plain,
% 82.57/52.19 (v108(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6075, 268, 6069])).
% 82.57/52.19 tff(6077,plain,
% 82.57/52.19 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6078,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 82.57/52.19 tff(6079,plain,
% 82.57/52.19 (nextState(constB31, constB32)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 82.57/52.19 tff(6080,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6081,plain,
% 82.57/52.19 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6082,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6081])).
% 82.57/52.19 tff(6083,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6082, 6080])).
% 82.57/52.19 tff(6084,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6085,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 82.57/52.19 tff(6086,plain,
% 82.57/52.19 (v110(constB32) | (~v108(constB31))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6085, 288, 6079])).
% 82.57/52.19 tff(6087,plain,
% 82.57/52.19 (v110(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6086, 6076])).
% 82.57/52.19 tff(6088,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6089,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6090,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 82.57/52.19 tff(6091,plain,
% 82.57/52.19 (~v104(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6090, 306, 6079, 5967])).
% 82.57/52.19 tff(6092,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6093,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6094,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 82.57/52.19 tff(6095,plain,
% 82.57/52.19 (v102(constB32) | v104(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6094, 320, 6079])).
% 82.57/52.19 tff(6096,plain,
% 82.57/52.19 (v102(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6095, 6091])).
% 82.57/52.19 tff(6097,plain,
% 82.57/52.19 (v1(constB32) <=> v1(constB32)),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6098,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 82.57/52.19 tff(6099,plain,
% 82.57/52.19 (v1(constB32)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 82.57/52.19 tff(6100,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6101,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6102,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 82.57/52.19 tff(6103,plain,
% 82.57/52.19 (v101(constB32) | (~v102(constB32))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6102, 338, 6079, 6099])).
% 82.57/52.19 tff(6104,plain,
% 82.57/52.19 (v101(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6103, 6096])).
% 82.57/52.19 tff(6105,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6106,plain,
% 82.57/52.19 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6107,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6106])).
% 82.57/52.19 tff(6108,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6107, 6105])).
% 82.57/52.19 tff(6109,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6110,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 82.57/52.19 tff(6111,plain,
% 82.57/52.19 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6110, 353, 6079])).
% 82.57/52.19 tff(6112,plain,
% 82.57/52.19 (v100(constB32) | (~v110(constB32))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6111, 6104])).
% 82.57/52.19 tff(6113,plain,
% 82.57/52.19 (v100(constB32)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6112, 6087])).
% 82.57/52.19 tff(6114,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6115,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6116,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 82.57/52.19 tff(6117,plain,
% 82.57/52.19 (v130(constB31, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6116, 1198, 6036])).
% 82.57/52.19 tff(6118,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6119,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6120,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 82.57/52.19 tff(6121,plain,
% 82.57/52.19 (v26(constB31) | v127(constB31, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6120, 1212, 6117])).
% 82.57/52.19 tff(6122,plain,
% 82.57/52.19 (v127(constB31, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6121, 5254])).
% 82.57/52.19 tff(6123,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6124,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6125,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 82.57/52.19 tff(6126,plain,
% 82.57/52.19 ((~v127(constB31, 2)) | v129(constB32, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6125, 1230, 6079])).
% 82.57/52.19 tff(6127,plain,
% 82.57/52.19 (v129(constB32, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6126, 6122])).
% 82.57/52.19 tff(6128,plain,
% 82.57/52.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6129,plain,
% 82.57/52.19 ((v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2))) <=> (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6130,plain,
% 82.57/52.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6129])).
% 82.57/52.19 tff(6131,plain,
% 82.57/52.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6130, 6128])).
% 82.57/52.19 tff(6132,plain,
% 82.57/52.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6133,plain,
% 82.57/52.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6132, 6131])).
% 82.57/52.19 tff(6134,plain,
% 82.57/52.19 (v90(constB32, 2) | (~v100(constB32))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6133, 1338, 6127])).
% 82.57/52.19 tff(6135,plain,
% 82.57/52.19 (v90(constB32, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6134, 6113])).
% 82.57/52.19 tff(6136,plain,
% 82.57/52.19 ((~v1(constB33)) <=> (~v1(constB33))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6137,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 82.57/52.19 tff(6138,plain,
% 82.57/52.19 (~v1(constB33)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6137, 6136])).
% 82.57/52.19 tff(6139,plain,
% 82.57/52.19 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6140,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 82.57/52.19 tff(6141,plain,
% 82.57/52.19 (nextState(constB32, constB33)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 82.57/52.19 tff(6142,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6143,plain,
% 82.57/52.19 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6144,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6143])).
% 82.57/52.19 tff(6145,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6144, 6142])).
% 82.57/52.19 tff(6146,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6147,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 82.57/52.19 tff(6148,plain,
% 82.57/52.19 (~v101(constB33)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6147, 66, 6141, 6138])).
% 82.57/52.19 tff(6149,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6150,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6151,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 82.57/52.19 tff(6152,plain,
% 82.57/52.19 (v101(constB33) | (~v100(constB33))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6151, 83, 6141])).
% 82.57/52.19 tff(6153,plain,
% 82.57/52.19 (~v100(constB33)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6152, 6148])).
% 82.57/52.19 tff(6154,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6155,plain,
% 82.57/52.19 (((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)) <=> ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6156,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6155])).
% 82.57/52.19 tff(6157,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6156, 6154])).
% 82.57/52.19 tff(6158,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6159,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 82.57/52.19 tff(6160,plain,
% 82.57/52.19 ((~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6159, 1374, 6141])).
% 82.57/52.19 tff(6161,plain,
% 82.57/52.19 ((~v90(constB32, 2)) | v90(constB33, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6160, 6153])).
% 82.57/52.19 tff(6162,plain,
% 82.57/52.19 (v90(constB33, 2)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6161, 6135])).
% 82.57/52.19 tff(6163,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6164,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6165,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 82.57/52.19 tff(6166,plain,
% 82.57/52.19 (~v130(constB31, 1)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6165, 1390, 6036])).
% 82.57/52.19 tff(6167,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6168,plain,
% 82.57/52.19 ((v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1))) <=> ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6169,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6168])).
% 82.57/52.19 tff(6170,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6169, 6167])).
% 82.57/52.19 tff(6171,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6172,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 82.57/52.19 tff(6173,plain,
% 82.57/52.19 ((~v127(constB31, 1)) | v26(constB31)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6172, 383, 6166])).
% 82.57/52.19 tff(6174,plain,
% 82.57/52.19 (~v127(constB31, 1)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6173, 5254])).
% 82.57/52.19 tff(6175,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6176,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6177,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 82.57/52.19 tff(6178,plain,
% 82.57/52.19 (v127(constB31, 1) | (~v129(constB32, 1))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6177, 401, 6079])).
% 82.57/52.19 tff(6179,plain,
% 82.57/52.19 (~v129(constB32, 1)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6178, 6174])).
% 82.57/52.19 tff(6180,plain,
% 82.57/52.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6181,plain,
% 82.57/52.19 (((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1)) <=> ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6182,plain,
% 82.57/52.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6181])).
% 82.57/52.19 tff(6183,plain,
% 82.57/52.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6182, 6180])).
% 82.57/52.19 tff(6184,plain,
% 82.57/52.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6185,plain,
% 82.57/52.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6184, 6183])).
% 82.57/52.19 tff(6186,plain,
% 82.57/52.19 ((~v90(constB32, 1)) | (~v100(constB32))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6185, 416, 6179])).
% 82.57/52.19 tff(6187,plain,
% 82.57/52.19 (~v90(constB32, 1)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6186, 6113])).
% 82.57/52.19 tff(6188,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6189,plain,
% 82.57/52.19 (((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))) <=> (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6190,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6189])).
% 82.57/52.19 tff(6191,plain,
% 82.57/52.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6190, 6188])).
% 82.57/52.19 tff(6192,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6193,plain,
% 82.57/52.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 82.57/52.19 tff(6194,plain,
% 82.57/52.19 (v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6193, 119, 6141])).
% 82.57/52.19 tff(6195,plain,
% 82.57/52.19 (v90(constB32, 1) | (~v90(constB33, 1))),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6194, 6153])).
% 82.57/52.19 tff(6196,plain,
% 82.57/52.19 (~v90(constB33, 1)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6195, 6187])).
% 82.57/52.19 tff(6197,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0)))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6198,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6199,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0))),
% 82.57/52.19 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 82.57/52.19 tff(6200,plain,
% 82.57/52.19 (~v130(constB31, 0)),
% 82.57/52.19 inference(unit_resolution,[status(thm)],[6199, 1431, 6036])).
% 82.57/52.19 tff(6201,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6202,plain,
% 82.57/52.19 ((v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0))) <=> ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 82.57/52.19 inference(rewrite,[status(thm)],[])).
% 82.57/52.19 tff(6203,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)))),
% 82.57/52.19 inference(monotonicity,[status(thm)],[6202])).
% 82.57/52.19 tff(6204,plain,
% 82.57/52.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 82.57/52.19 inference(transitivity,[status(thm)],[6203, 6201])).
% 82.57/52.19 tff(6205,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))),
% 82.57/52.19 inference(quant_inst,[status(thm)],[])).
% 82.57/52.19 tff(6206,plain,
% 82.57/52.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 82.57/52.20 tff(6207,plain,
% 82.57/52.20 ((~v127(constB31, 0)) | v26(constB31)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6206, 896, 6200])).
% 82.57/52.20 tff(6208,plain,
% 82.57/52.20 (~v127(constB31, 0)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6207, 5254])).
% 82.57/52.20 tff(6209,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6210,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6211,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 82.57/52.20 tff(6212,plain,
% 82.57/52.20 (v127(constB31, 0) | (~v129(constB32, 0))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6211, 914, 6079])).
% 82.57/52.20 tff(6213,plain,
% 82.57/52.20 (~v129(constB32, 0)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6212, 6208])).
% 82.57/52.20 tff(6214,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6215,plain,
% 82.57/52.20 (((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0)) <=> ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6216,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6215])).
% 82.57/52.20 tff(6217,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6216, 6214])).
% 82.57/52.20 tff(6218,plain,
% 82.57/52.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6219,plain,
% 82.57/52.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 82.57/52.20 tff(6220,plain,
% 82.57/52.20 ((~v90(constB32, 0)) | (~v100(constB32))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6219, 929, 6213])).
% 82.57/52.20 tff(6221,plain,
% 82.57/52.20 (~v90(constB32, 0)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6220, 6113])).
% 82.57/52.20 tff(6222,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6223,plain,
% 82.57/52.20 (((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))) <=> (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6224,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6223])).
% 82.57/52.20 tff(6225,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6224, 6222])).
% 82.57/52.20 tff(6226,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6227,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 82.57/52.20 tff(6228,plain,
% 82.57/52.20 (v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6227, 140, 6141])).
% 82.57/52.20 tff(6229,plain,
% 82.57/52.20 (v90(constB32, 0) | (~v90(constB33, 0))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6228, 6153])).
% 82.57/52.20 tff(6230,plain,
% 82.57/52.20 (~v90(constB33, 0)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6229, 6221])).
% 82.57/52.20 tff(6231,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6232,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6233,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 82.57/52.20 tff(6234,plain,
% 82.57/52.20 (v123(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6233, 1475, 6230, 6196, 6162])).
% 82.57/52.20 tff(6235,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6236,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6237,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 82.57/52.20 tff(6238,plain,
% 82.57/52.20 (v115(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6237, 1486, 6234])).
% 82.57/52.20 tff(6239,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6240,plain,
% 82.57/52.20 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6241,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6240])).
% 82.57/52.20 tff(6242,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6241, 6239])).
% 82.57/52.20 tff(6243,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6244,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6243, 6242])).
% 82.57/52.20 tff(6245,plain,
% 82.57/52.20 (v114(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6244, 228, 6238])).
% 82.57/52.20 tff(6246,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6247,plain,
% 82.57/52.20 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6248,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6247])).
% 82.57/52.20 tff(6249,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6248, 6246])).
% 82.57/52.20 tff(6250,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6251,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 82.57/52.20 tff(6252,plain,
% 82.57/52.20 (v113(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6251, 242, 6245])).
% 82.57/52.20 tff(6253,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6254,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6255,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 82.57/52.20 tff(6256,plain,
% 82.57/52.20 (v26(constB33) | v112(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6255, 256, 6252])).
% 82.57/52.20 tff(6257,plain,
% 82.57/52.20 (v112(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6256, 5250])).
% 82.57/52.20 tff(6258,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6259,plain,
% 82.57/52.20 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6260,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6259])).
% 82.57/52.20 tff(6261,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6260, 6258])).
% 82.57/52.20 tff(6262,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6263,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 82.57/52.20 tff(6264,plain,
% 82.57/52.20 (v108(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6263, 268, 6257])).
% 82.57/52.20 tff(6265,plain,
% 82.57/52.20 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6266,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 82.57/52.20 tff(6267,plain,
% 82.57/52.20 (nextState(constB33, constB34)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 82.57/52.20 tff(6268,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6269,plain,
% 82.57/52.20 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6270,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6269])).
% 82.57/52.20 tff(6271,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6270, 6268])).
% 82.57/52.20 tff(6272,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6273,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 82.57/52.20 tff(6274,plain,
% 82.57/52.20 (v110(constB34) | (~v108(constB33))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6273, 288, 6267])).
% 82.57/52.20 tff(6275,plain,
% 82.57/52.20 (v110(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6274, 6264])).
% 82.57/52.20 tff(6276,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6277,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6278,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 82.57/52.20 tff(6279,plain,
% 82.57/52.20 (~v104(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6278, 306, 6267, 6138])).
% 82.57/52.20 tff(6280,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6281,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6282,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 82.57/52.20 tff(6283,plain,
% 82.57/52.20 (v102(constB34) | v104(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6282, 320, 6267])).
% 82.57/52.20 tff(6284,plain,
% 82.57/52.20 (v102(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6283, 6279])).
% 82.57/52.20 tff(6285,plain,
% 82.57/52.20 (v1(constB34) <=> v1(constB34)),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6286,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 82.57/52.20 tff(6287,plain,
% 82.57/52.20 (v1(constB34)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6286, 6285])).
% 82.57/52.20 tff(6288,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6289,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6290,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 82.57/52.20 tff(6291,plain,
% 82.57/52.20 (v101(constB34) | (~v102(constB34))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6290, 338, 6267, 6287])).
% 82.57/52.20 tff(6292,plain,
% 82.57/52.20 (v101(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6291, 6284])).
% 82.57/52.20 tff(6293,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6294,plain,
% 82.57/52.20 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6295,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6294])).
% 82.57/52.20 tff(6296,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6295, 6293])).
% 82.57/52.20 tff(6297,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6298,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 82.57/52.20 tff(6299,plain,
% 82.57/52.20 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6298, 353, 6267])).
% 82.57/52.20 tff(6300,plain,
% 82.57/52.20 (v100(constB34) | (~v110(constB34))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6299, 6292])).
% 82.57/52.20 tff(6301,plain,
% 82.57/52.20 (v100(constB34)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6300, 6275])).
% 82.57/52.20 tff(6302,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6303,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6304,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 82.57/52.20 tff(6305,plain,
% 82.57/52.20 (v130(constB33, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6304, 1567, 6234])).
% 82.57/52.20 tff(6306,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6307,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6308,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 82.57/52.20 tff(6309,plain,
% 82.57/52.20 (v26(constB33) | v127(constB33, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6308, 1212, 6305])).
% 82.57/52.20 tff(6310,plain,
% 82.57/52.20 (v127(constB33, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6309, 5250])).
% 82.57/52.20 tff(6311,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6312,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6313,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 82.57/52.20 tff(6314,plain,
% 82.57/52.20 ((~v127(constB33, 2)) | v129(constB34, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6313, 1230, 6267])).
% 82.57/52.20 tff(6315,plain,
% 82.57/52.20 (v129(constB34, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6314, 6310])).
% 82.57/52.20 tff(6316,plain,
% 82.57/52.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6317,plain,
% 82.57/52.20 ((v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2))) <=> (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6318,plain,
% 82.57/52.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6317])).
% 82.57/52.20 tff(6319,plain,
% 82.57/52.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6318, 6316])).
% 82.57/52.20 tff(6320,plain,
% 82.57/52.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6321,plain,
% 82.57/52.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 82.57/52.20 tff(6322,plain,
% 82.57/52.20 (v90(constB34, 2) | (~v100(constB34))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6321, 1338, 6315])).
% 82.57/52.20 tff(6323,plain,
% 82.57/52.20 (v90(constB34, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6322, 6301])).
% 82.57/52.20 tff(6324,plain,
% 82.57/52.20 ((~v1(constB35)) <=> (~v1(constB35))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6325,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 82.57/52.20 tff(6326,plain,
% 82.57/52.20 (~v1(constB35)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 82.57/52.20 tff(6327,plain,
% 82.57/52.20 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6328,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 82.57/52.20 tff(6329,plain,
% 82.57/52.20 (nextState(constB34, constB35)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 82.57/52.20 tff(6330,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6331,plain,
% 82.57/52.20 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6332,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6331])).
% 82.57/52.20 tff(6333,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6332, 6330])).
% 82.57/52.20 tff(6334,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6335,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 82.57/52.20 tff(6336,plain,
% 82.57/52.20 (~v101(constB35)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6335, 66, 6329, 6326])).
% 82.57/52.20 tff(6337,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6338,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6339,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6338, 6337])).
% 82.57/52.20 tff(6340,plain,
% 82.57/52.20 (v101(constB35) | (~v100(constB35))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6339, 83, 6329])).
% 82.57/52.20 tff(6341,plain,
% 82.57/52.20 (~v100(constB35)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6340, 6336])).
% 82.57/52.20 tff(6342,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6343,plain,
% 82.57/52.20 (((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)) <=> ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6344,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6343])).
% 82.57/52.20 tff(6345,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6344, 6342])).
% 82.57/52.20 tff(6346,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6347,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6346, 6345])).
% 82.57/52.20 tff(6348,plain,
% 82.57/52.20 ((~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6347, 1374, 6329])).
% 82.57/52.20 tff(6349,plain,
% 82.57/52.20 ((~v90(constB34, 2)) | v90(constB35, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6348, 6341])).
% 82.57/52.20 tff(6350,plain,
% 82.57/52.20 (v90(constB35, 2)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6349, 6323])).
% 82.57/52.20 tff(6351,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6352,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6353,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 82.57/52.20 tff(6354,plain,
% 82.57/52.20 (~v130(constB33, 1)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6353, 1623, 6234])).
% 82.57/52.20 tff(6355,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6356,plain,
% 82.57/52.20 ((v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1))) <=> ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6357,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6356])).
% 82.57/52.20 tff(6358,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6357, 6355])).
% 82.57/52.20 tff(6359,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6360,plain,
% 82.57/52.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 82.57/52.20 tff(6361,plain,
% 82.57/52.20 ((~v127(constB33, 1)) | v26(constB33)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6360, 383, 6354])).
% 82.57/52.20 tff(6362,plain,
% 82.57/52.20 (~v127(constB33, 1)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6361, 5250])).
% 82.57/52.20 tff(6363,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6364,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6365,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 82.57/52.20 tff(6366,plain,
% 82.57/52.20 (v127(constB33, 1) | (~v129(constB34, 1))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6365, 401, 6267])).
% 82.57/52.20 tff(6367,plain,
% 82.57/52.20 (~v129(constB34, 1)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6366, 6362])).
% 82.57/52.20 tff(6368,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6369,plain,
% 82.57/52.20 (((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1)) <=> ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6370,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6369])).
% 82.57/52.20 tff(6371,plain,
% 82.57/52.20 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6370, 6368])).
% 82.57/52.20 tff(6372,plain,
% 82.57/52.20 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6373,plain,
% 82.57/52.20 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 82.57/52.20 tff(6374,plain,
% 82.57/52.20 ((~v90(constB34, 1)) | (~v100(constB34))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6373, 416, 6367])).
% 82.57/52.20 tff(6375,plain,
% 82.57/52.20 (~v90(constB34, 1)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6374, 6301])).
% 82.57/52.20 tff(6376,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6377,plain,
% 82.57/52.20 (((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))) <=> (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 82.57/52.20 inference(rewrite,[status(thm)],[])).
% 82.57/52.20 tff(6378,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))))),
% 82.57/52.20 inference(monotonicity,[status(thm)],[6377])).
% 82.57/52.20 tff(6379,plain,
% 82.57/52.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 82.57/52.20 inference(transitivity,[status(thm)],[6378, 6376])).
% 82.57/52.20 tff(6380,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))),
% 82.57/52.20 inference(quant_inst,[status(thm)],[])).
% 82.57/52.20 tff(6381,plain,
% 82.57/52.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))),
% 82.57/52.20 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 82.57/52.20 tff(6382,plain,
% 82.57/52.20 (v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6381, 119, 6329])).
% 82.57/52.20 tff(6383,plain,
% 82.57/52.20 (v90(constB34, 1) | (~v90(constB35, 1))),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6382, 6341])).
% 82.57/52.20 tff(6384,plain,
% 82.57/52.20 (~v90(constB35, 1)),
% 82.57/52.20 inference(unit_resolution,[status(thm)],[6383, 6375])).
% 82.57/52.20 tff(6385,plain,
% 82.57/52.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6386,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6387,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 82.57/52.21 tff(6388,plain,
% 82.57/52.21 (v130(constB33, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6387, 1664, 6234])).
% 82.57/52.21 tff(6389,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6390,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6391,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 82.57/52.21 tff(6392,plain,
% 82.57/52.21 (v26(constB33) | v127(constB33, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6391, 478, 6388])).
% 82.57/52.21 tff(6393,plain,
% 82.57/52.21 (v127(constB33, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6392, 5250])).
% 82.57/52.21 tff(6394,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6395,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6396,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 82.57/52.21 tff(6397,plain,
% 82.57/52.21 ((~v127(constB33, 0)) | v129(constB34, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6396, 493, 6267])).
% 82.57/52.21 tff(6398,plain,
% 82.57/52.21 (v129(constB34, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6397, 6393])).
% 82.57/52.21 tff(6399,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6400,plain,
% 82.57/52.21 ((v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0))) <=> (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6401,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6400])).
% 82.57/52.21 tff(6402,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6401, 6399])).
% 82.57/52.21 tff(6403,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6404,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 82.57/52.21 tff(6405,plain,
% 82.57/52.21 (v90(constB34, 0) | (~v100(constB34))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6404, 508, 6398])).
% 82.57/52.21 tff(6406,plain,
% 82.57/52.21 (v90(constB34, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6405, 6301])).
% 82.57/52.21 tff(6407,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6408,plain,
% 82.57/52.21 (((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)) <=> ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6409,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6408])).
% 82.57/52.21 tff(6410,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6409, 6407])).
% 82.57/52.21 tff(6411,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6412,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 82.57/52.21 tff(6413,plain,
% 82.57/52.21 ((~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6412, 526, 6329])).
% 82.57/52.21 tff(6414,plain,
% 82.57/52.21 ((~v90(constB34, 0)) | v90(constB35, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6413, 6341])).
% 82.57/52.21 tff(6415,plain,
% 82.57/52.21 (v90(constB35, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6414, 6406])).
% 82.57/52.21 tff(6416,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6417,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6418,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 82.57/52.21 tff(6419,plain,
% 82.57/52.21 (v124(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6418, 1705, 6415, 6384, 6350])).
% 82.57/52.21 tff(6420,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6421,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6422,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 82.57/52.21 tff(6423,plain,
% 82.57/52.21 (v114(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6422, 1741, 6419])).
% 82.57/52.21 tff(6424,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6425,plain,
% 82.57/52.21 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6426,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6425])).
% 82.57/52.21 tff(6427,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6426, 6424])).
% 82.57/52.21 tff(6428,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6429,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 82.57/52.21 tff(6430,plain,
% 82.57/52.21 (v113(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6429, 242, 6423])).
% 82.57/52.21 tff(6431,assumption,(v26(constB35)), introduced(assumption)).
% 82.57/52.21 tff(6432,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6433,plain,
% 82.57/52.21 ($false),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6432, 19, 6431])).
% 82.57/52.21 tff(6434,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 82.57/52.21 tff(6435,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6436,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6437,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 82.57/52.21 tff(6438,plain,
% 82.57/52.21 ((~v113(constB35)) | v112(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6437, 256, 6434])).
% 82.57/52.21 tff(6439,plain,
% 82.57/52.21 (v112(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6438, 6430])).
% 82.57/52.21 tff(6440,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6441,plain,
% 82.57/52.21 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6442,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6441])).
% 82.57/52.21 tff(6443,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6442, 6440])).
% 82.57/52.21 tff(6444,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6445,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 82.57/52.21 tff(6446,plain,
% 82.57/52.21 (v108(constB35)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6445, 268, 6439])).
% 82.57/52.21 tff(6447,plain,
% 82.57/52.21 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6448,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 82.57/52.21 tff(6449,plain,
% 82.57/52.21 (nextState(constB35, constB36)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 82.57/52.21 tff(6450,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6451,plain,
% 82.57/52.21 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6452,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6451])).
% 82.57/52.21 tff(6453,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6452, 6450])).
% 82.57/52.21 tff(6454,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6455,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 82.57/52.21 tff(6456,plain,
% 82.57/52.21 (v110(constB36) | (~v108(constB35))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6455, 288, 6449])).
% 82.57/52.21 tff(6457,plain,
% 82.57/52.21 (v110(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6456, 6446])).
% 82.57/52.21 tff(6458,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6459,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6460,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6459, 6458])).
% 82.57/52.21 tff(6461,plain,
% 82.57/52.21 (~v104(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6460, 306, 6449, 6326])).
% 82.57/52.21 tff(6462,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6463,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6464,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 82.57/52.21 tff(6465,plain,
% 82.57/52.21 (v102(constB36) | v104(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6464, 320, 6449])).
% 82.57/52.21 tff(6466,plain,
% 82.57/52.21 (v102(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6465, 6461])).
% 82.57/52.21 tff(6467,plain,
% 82.57/52.21 (v1(constB36) <=> v1(constB36)),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6468,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 82.57/52.21 tff(6469,plain,
% 82.57/52.21 (v1(constB36)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 82.57/52.21 tff(6470,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6471,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6472,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 82.57/52.21 tff(6473,plain,
% 82.57/52.21 (v101(constB36) | (~v102(constB36))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6472, 338, 6449, 6469])).
% 82.57/52.21 tff(6474,plain,
% 82.57/52.21 (v101(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6473, 6466])).
% 82.57/52.21 tff(6475,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6476,plain,
% 82.57/52.21 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6477,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6476])).
% 82.57/52.21 tff(6478,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6477, 6475])).
% 82.57/52.21 tff(6479,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6480,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 82.57/52.21 tff(6481,plain,
% 82.57/52.21 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6480, 353, 6449])).
% 82.57/52.21 tff(6482,plain,
% 82.57/52.21 (v100(constB36) | (~v110(constB36))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6481, 6474])).
% 82.57/52.21 tff(6483,plain,
% 82.57/52.21 (v100(constB36)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6482, 6457])).
% 82.57/52.21 tff(6484,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6485,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6486,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 82.57/52.21 tff(6487,plain,
% 82.57/52.21 (v130(constB35, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6486, 1716, 6419])).
% 82.57/52.21 tff(6488,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6489,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6490,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6489, 6488])).
% 82.57/52.21 tff(6491,plain,
% 82.57/52.21 ((~v130(constB35, 2)) | v127(constB35, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6490, 1212, 6434])).
% 82.57/52.21 tff(6492,plain,
% 82.57/52.21 (v127(constB35, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6491, 6487])).
% 82.57/52.21 tff(6493,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6494,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6495,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6494, 6493])).
% 82.57/52.21 tff(6496,plain,
% 82.57/52.21 ((~v127(constB35, 2)) | v129(constB36, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6495, 1230, 6449])).
% 82.57/52.21 tff(6497,plain,
% 82.57/52.21 (v129(constB36, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6496, 6492])).
% 82.57/52.21 tff(6498,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6499,plain,
% 82.57/52.21 ((v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2))) <=> (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6500,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6499])).
% 82.57/52.21 tff(6501,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6500, 6498])).
% 82.57/52.21 tff(6502,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6503,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 82.57/52.21 tff(6504,plain,
% 82.57/52.21 (v90(constB36, 2) | (~v100(constB36))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6503, 1338, 6497])).
% 82.57/52.21 tff(6505,plain,
% 82.57/52.21 (v90(constB36, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6504, 6483])).
% 82.57/52.21 tff(6506,plain,
% 82.57/52.21 ((~v1(constB37)) <=> (~v1(constB37))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6507,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 82.57/52.21 tff(6508,plain,
% 82.57/52.21 (~v1(constB37)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 82.57/52.21 tff(6509,plain,
% 82.57/52.21 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6510,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 82.57/52.21 tff(6511,plain,
% 82.57/52.21 (nextState(constB36, constB37)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6510, 6509])).
% 82.57/52.21 tff(6512,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6513,plain,
% 82.57/52.21 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6514,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6513])).
% 82.57/52.21 tff(6515,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6514, 6512])).
% 82.57/52.21 tff(6516,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6517,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 82.57/52.21 tff(6518,plain,
% 82.57/52.21 (~v101(constB37)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6517, 66, 6511, 6508])).
% 82.57/52.21 tff(6519,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6520,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6521,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 82.57/52.21 tff(6522,plain,
% 82.57/52.21 (v101(constB37) | (~v100(constB37))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6521, 83, 6511])).
% 82.57/52.21 tff(6523,plain,
% 82.57/52.21 (~v100(constB37)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6522, 6518])).
% 82.57/52.21 tff(6524,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6525,plain,
% 82.57/52.21 (((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)) <=> ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6526,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6525])).
% 82.57/52.21 tff(6527,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6526, 6524])).
% 82.57/52.21 tff(6528,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6529,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 82.57/52.21 tff(6530,plain,
% 82.57/52.21 ((~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6529, 1374, 6511])).
% 82.57/52.21 tff(6531,plain,
% 82.57/52.21 ((~v90(constB36, 2)) | v90(constB37, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6530, 6523])).
% 82.57/52.21 tff(6532,plain,
% 82.57/52.21 (v90(constB37, 2)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6531, 6505])).
% 82.57/52.21 tff(6533,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6534,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6535,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 82.57/52.21 tff(6536,plain,
% 82.57/52.21 (v130(constB35, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6535, 1767, 6419])).
% 82.57/52.21 tff(6537,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6538,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6539,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 82.57/52.21 tff(6540,plain,
% 82.57/52.21 ((~v130(constB35, 1)) | v127(constB35, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6539, 818, 6434])).
% 82.57/52.21 tff(6541,plain,
% 82.57/52.21 (v127(constB35, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6540, 6536])).
% 82.57/52.21 tff(6542,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6543,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6544,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 82.57/52.21 tff(6545,plain,
% 82.57/52.21 ((~v127(constB35, 1)) | v129(constB36, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6544, 833, 6449])).
% 82.57/52.21 tff(6546,plain,
% 82.57/52.21 (v129(constB36, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6545, 6541])).
% 82.57/52.21 tff(6547,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6548,plain,
% 82.57/52.21 ((v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1))) <=> (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6549,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6548])).
% 82.57/52.21 tff(6550,plain,
% 82.57/52.21 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6549, 6547])).
% 82.57/52.21 tff(6551,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6552,plain,
% 82.57/52.21 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 82.57/52.21 tff(6553,plain,
% 82.57/52.21 (v90(constB36, 1) | (~v100(constB36))),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6552, 848, 6546])).
% 82.57/52.21 tff(6554,plain,
% 82.57/52.21 (v90(constB36, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6553, 6483])).
% 82.57/52.21 tff(6555,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6556,plain,
% 82.57/52.21 (((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)) <=> ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6557,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6556])).
% 82.57/52.21 tff(6558,plain,
% 82.57/52.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 82.57/52.21 inference(transitivity,[status(thm)],[6557, 6555])).
% 82.57/52.21 tff(6559,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6560,plain,
% 82.57/52.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 82.57/52.21 tff(6561,plain,
% 82.57/52.21 ((~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6560, 866, 6511])).
% 82.57/52.21 tff(6562,plain,
% 82.57/52.21 ((~v90(constB36, 1)) | v90(constB37, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6561, 6523])).
% 82.57/52.21 tff(6563,plain,
% 82.57/52.21 (v90(constB37, 1)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6562, 6554])).
% 82.57/52.21 tff(6564,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0)))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6565,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))),
% 82.57/52.21 inference(quant_inst,[status(thm)],[])).
% 82.57/52.21 tff(6566,plain,
% 82.57/52.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0))),
% 82.57/52.21 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 82.57/52.21 tff(6567,plain,
% 82.57/52.21 (~v130(constB35, 0)),
% 82.57/52.21 inference(unit_resolution,[status(thm)],[6566, 1882, 6419])).
% 82.57/52.21 tff(6568,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6569,plain,
% 82.57/52.21 ((v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0))) <=> ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 82.57/52.21 inference(rewrite,[status(thm)],[])).
% 82.57/52.21 tff(6570,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)))),
% 82.57/52.21 inference(monotonicity,[status(thm)],[6569])).
% 82.57/52.21 tff(6571,plain,
% 82.57/52.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 82.57/52.22 inference(transitivity,[status(thm)],[6570, 6568])).
% 82.57/52.22 tff(6572,plain,
% 82.57/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))),
% 82.57/52.22 inference(quant_inst,[status(thm)],[])).
% 82.57/52.22 tff(6573,plain,
% 82.57/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)),
% 82.57/52.22 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 82.57/52.22 tff(6574,plain,
% 82.57/52.22 ((~v127(constB35, 0)) | v130(constB35, 0)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6573, 896, 6434])).
% 82.57/52.22 tff(6575,plain,
% 82.57/52.22 (~v127(constB35, 0)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6574, 6567])).
% 82.57/52.22 tff(6576,plain,
% 82.57/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6577,plain,
% 82.57/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 82.57/52.22 inference(quant_inst,[status(thm)],[])).
% 82.57/52.22 tff(6578,plain,
% 82.57/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0))),
% 82.57/52.22 inference(modus_ponens,[status(thm)],[6577, 6576])).
% 82.57/52.22 tff(6579,plain,
% 82.57/52.22 (v127(constB35, 0) | (~v129(constB36, 0))),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6578, 914, 6449])).
% 82.57/52.22 tff(6580,plain,
% 82.57/52.22 (~v129(constB36, 0)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6579, 6575])).
% 82.57/52.22 tff(6581,plain,
% 82.57/52.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6582,plain,
% 82.57/52.22 (((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0)) <=> ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6583,plain,
% 82.57/52.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))))),
% 82.57/52.22 inference(monotonicity,[status(thm)],[6582])).
% 82.57/52.22 tff(6584,plain,
% 82.57/52.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 82.57/52.22 inference(transitivity,[status(thm)],[6583, 6581])).
% 82.57/52.22 tff(6585,plain,
% 82.57/52.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))),
% 82.57/52.22 inference(quant_inst,[status(thm)],[])).
% 82.57/52.22 tff(6586,plain,
% 82.57/52.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))),
% 82.57/52.22 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 82.57/52.22 tff(6587,plain,
% 82.57/52.22 ((~v90(constB36, 0)) | (~v100(constB36))),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6586, 929, 6580])).
% 82.57/52.22 tff(6588,plain,
% 82.57/52.22 (~v90(constB36, 0)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6587, 6483])).
% 82.57/52.22 tff(6589,plain,
% 82.57/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6590,plain,
% 82.57/52.22 (((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))) <=> (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6591,plain,
% 82.57/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))))),
% 82.57/52.22 inference(monotonicity,[status(thm)],[6590])).
% 82.57/52.22 tff(6592,plain,
% 82.57/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 82.57/52.22 inference(transitivity,[status(thm)],[6591, 6589])).
% 82.57/52.22 tff(6593,plain,
% 82.57/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))),
% 82.57/52.22 inference(quant_inst,[status(thm)],[])).
% 82.57/52.22 tff(6594,plain,
% 82.57/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))),
% 82.57/52.22 inference(modus_ponens,[status(thm)],[6593, 6592])).
% 82.57/52.22 tff(6595,plain,
% 82.57/52.22 (v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6594, 140, 6511])).
% 82.57/52.22 tff(6596,plain,
% 82.57/52.22 (v90(constB36, 0) | (~v90(constB37, 0))),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6595, 6523])).
% 82.57/52.22 tff(6597,plain,
% 82.57/52.22 (~v90(constB37, 0)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6596, 6588])).
% 82.57/52.22 tff(6598,plain,
% 82.57/52.22 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 82.57/52.22 inference(rewrite,[status(thm)],[])).
% 82.57/52.22 tff(6599,plain,
% 82.57/52.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 82.57/52.22 inference(quant_inst,[status(thm)],[])).
% 82.57/52.22 tff(6600,plain,
% 82.57/52.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37)),
% 82.57/52.22 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 82.57/52.22 tff(6601,plain,
% 82.57/52.22 (v125(constB37)),
% 82.57/52.22 inference(unit_resolution,[status(thm)],[6600, 1934, 6597, 6563, 6532])).
% 82.57/52.22 tff(6602,plain,
% 82.57/52.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6603,plain,
% 82.65/52.22 (((~v125(constB37)) | v113(constB37)) <=> (v113(constB37) | (~v125(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6604,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6603])).
% 82.65/52.22 tff(6605,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6604, 6602])).
% 82.65/52.22 tff(6606,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6607,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 82.65/52.22 tff(6608,plain,
% 82.65/52.22 (v113(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6607, 1946, 6601])).
% 82.65/52.22 tff(6609,assumption,(v26(constB37)), introduced(assumption)).
% 82.65/52.22 tff(6610,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6611,plain,
% 82.65/52.22 ($false),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6610, 19, 6609])).
% 82.65/52.22 tff(6612,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.22 tff(6613,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6614,plain,
% 82.65/52.22 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6615,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6614])).
% 82.65/52.22 tff(6616,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6615, 6613])).
% 82.65/52.22 tff(6617,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6618,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 82.65/52.22 tff(6619,plain,
% 82.65/52.22 (v112(constB37) | (~v113(constB37))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6618, 256, 6612])).
% 82.65/52.22 tff(6620,plain,
% 82.65/52.22 (v112(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6619, 6608])).
% 82.65/52.22 tff(6621,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6622,plain,
% 82.65/52.22 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6623,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6622])).
% 82.65/52.22 tff(6624,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6623, 6621])).
% 82.65/52.22 tff(6625,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6626,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 82.65/52.22 tff(6627,plain,
% 82.65/52.22 (v108(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6626, 268, 6620])).
% 82.65/52.22 tff(6628,plain,
% 82.65/52.22 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6629,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 82.65/52.22 tff(6630,plain,
% 82.65/52.22 (nextState(constB37, constB38)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 82.65/52.22 tff(6631,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6632,plain,
% 82.65/52.22 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6633,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6632])).
% 82.65/52.22 tff(6634,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6633, 6631])).
% 82.65/52.22 tff(6635,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6636,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 82.65/52.22 tff(6637,plain,
% 82.65/52.22 (v110(constB38) | (~v108(constB37))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6636, 288, 6630])).
% 82.65/52.22 tff(6638,plain,
% 82.65/52.22 (v110(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6637, 6627])).
% 82.65/52.22 tff(6639,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6640,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6641,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 82.65/52.22 tff(6642,plain,
% 82.65/52.22 (~v104(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6641, 306, 6630, 6508])).
% 82.65/52.22 tff(6643,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6644,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6645,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 82.65/52.22 tff(6646,plain,
% 82.65/52.22 (v102(constB38) | v104(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6645, 320, 6630])).
% 82.65/52.22 tff(6647,plain,
% 82.65/52.22 (v102(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6646, 6642])).
% 82.65/52.22 tff(6648,plain,
% 82.65/52.22 (v1(constB38) <=> v1(constB38)),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6649,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 82.65/52.22 tff(6650,plain,
% 82.65/52.22 (v1(constB38)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 82.65/52.22 tff(6651,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6652,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6653,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 82.65/52.22 tff(6654,plain,
% 82.65/52.22 (v101(constB38) | (~v102(constB38))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6653, 338, 6630, 6650])).
% 82.65/52.22 tff(6655,plain,
% 82.65/52.22 (v101(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6654, 6647])).
% 82.65/52.22 tff(6656,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6657,plain,
% 82.65/52.22 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6658,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6657])).
% 82.65/52.22 tff(6659,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6658, 6656])).
% 82.65/52.22 tff(6660,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6661,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 82.65/52.22 tff(6662,plain,
% 82.65/52.22 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6661, 353, 6630])).
% 82.65/52.22 tff(6663,plain,
% 82.65/52.22 (v100(constB38) | (~v110(constB38))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6662, 6655])).
% 82.65/52.22 tff(6664,plain,
% 82.65/52.22 (v100(constB38)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6663, 6638])).
% 82.65/52.22 tff(6665,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6666,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6667,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 82.65/52.22 tff(6668,plain,
% 82.65/52.22 (~v121(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6667, 2017, 6532])).
% 82.65/52.22 tff(6669,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6670,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6671,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 82.65/52.22 tff(6672,plain,
% 82.65/52.22 (~v119(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6671, 2028, 6563])).
% 82.65/52.22 tff(6673,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6674,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6675,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 82.65/52.22 tff(6676,plain,
% 82.65/52.22 (~v120(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6675, 2039, 6563])).
% 82.65/52.22 tff(6677,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6678,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6679,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 82.65/52.22 tff(6680,plain,
% 82.65/52.22 (~v122(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6679, 2006, 6532])).
% 82.65/52.22 tff(6681,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6682,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6683,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 82.65/52.22 tff(6684,plain,
% 82.65/52.22 (~v124(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6683, 2061, 6563])).
% 82.65/52.22 tff(6685,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6686,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6687,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6686, 6685])).
% 82.65/52.22 tff(6688,plain,
% 82.65/52.22 (~v123(constB37)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6687, 2050, 6563])).
% 82.65/52.22 tff(6689,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6690,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6691,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 82.65/52.22 tff(6692,plain,
% 82.65/52.22 (~v130(constB37, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6691, 2075, 6688, 6684, 6680, 6676, 6672, 6668])).
% 82.65/52.22 tff(6693,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6694,plain,
% 82.65/52.22 ((v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2))) <=> ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6695,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6694])).
% 82.65/52.22 tff(6696,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6695, 6693])).
% 82.65/52.22 tff(6697,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6698,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 82.65/52.22 tff(6699,plain,
% 82.65/52.22 ((~v127(constB37, 2)) | v130(constB37, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6698, 556, 6612])).
% 82.65/52.22 tff(6700,plain,
% 82.65/52.22 (~v127(constB37, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6699, 6692])).
% 82.65/52.22 tff(6701,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6702,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6703,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 82.65/52.22 tff(6704,plain,
% 82.65/52.22 (v127(constB37, 2) | (~v129(constB38, 2))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6703, 574, 6630])).
% 82.65/52.22 tff(6705,plain,
% 82.65/52.22 (~v129(constB38, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6704, 6700])).
% 82.65/52.22 tff(6706,plain,
% 82.65/52.22 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6707,plain,
% 82.65/52.22 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6708,plain,
% 82.65/52.22 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6707, 6706])).
% 82.65/52.22 tff(6709,plain,
% 82.65/52.22 ((~v90(constB38, 2)) | (~v100(constB38))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6708, 589, 6705])).
% 82.65/52.22 tff(6710,plain,
% 82.65/52.22 (~v90(constB38, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6709, 6664])).
% 82.65/52.22 tff(6711,plain,
% 82.65/52.22 ((~v1(constB39)) <=> (~v1(constB39))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6712,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 82.65/52.22 tff(6713,plain,
% 82.65/52.22 (~v1(constB39)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 82.65/52.22 tff(6714,plain,
% 82.65/52.22 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6715,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 82.65/52.22 tff(6716,plain,
% 82.65/52.22 (nextState(constB38, constB39)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 82.65/52.22 tff(6717,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6718,plain,
% 82.65/52.22 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6719,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6718])).
% 82.65/52.22 tff(6720,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6719, 6717])).
% 82.65/52.22 tff(6721,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6722,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6721, 6720])).
% 82.65/52.22 tff(6723,plain,
% 82.65/52.22 (~v101(constB39)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6722, 66, 6716, 6713])).
% 82.65/52.22 tff(6724,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6725,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6726,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6725, 6724])).
% 82.65/52.22 tff(6727,plain,
% 82.65/52.22 (v101(constB39) | (~v100(constB39))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6726, 83, 6716])).
% 82.65/52.22 tff(6728,plain,
% 82.65/52.22 (~v100(constB39)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6727, 6723])).
% 82.65/52.22 tff(6729,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6730,plain,
% 82.65/52.22 (((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))) <=> (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6731,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6730])).
% 82.65/52.22 tff(6732,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6731, 6729])).
% 82.65/52.22 tff(6733,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6734,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 82.65/52.22 tff(6735,plain,
% 82.65/52.22 (v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6734, 98, 6716])).
% 82.65/52.22 tff(6736,plain,
% 82.65/52.22 (v90(constB38, 2) | (~v90(constB39, 2))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6735, 6728])).
% 82.65/52.22 tff(6737,plain,
% 82.65/52.22 (~v90(constB39, 2)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6736, 6710])).
% 82.65/52.22 tff(6738,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6739,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6740,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 82.65/52.22 tff(6741,plain,
% 82.65/52.22 (~v130(constB37, 1)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6740, 2135, 6688, 6684, 6680, 6676, 6672, 6668])).
% 82.65/52.22 tff(6742,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6743,plain,
% 82.65/52.22 ((v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1))) <=> ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6744,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)))),
% 82.65/52.22 inference(monotonicity,[status(thm)],[6743])).
% 82.65/52.22 tff(6745,plain,
% 82.65/52.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 82.65/52.22 inference(transitivity,[status(thm)],[6744, 6742])).
% 82.65/52.22 tff(6746,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6747,plain,
% 82.65/52.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 82.65/52.22 tff(6748,plain,
% 82.65/52.22 ((~v127(constB37, 1)) | v130(constB37, 1)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6747, 383, 6612])).
% 82.65/52.22 tff(6749,plain,
% 82.65/52.22 (~v127(constB37, 1)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6748, 6741])).
% 82.65/52.22 tff(6750,plain,
% 82.65/52.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6751,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 82.65/52.22 inference(quant_inst,[status(thm)],[])).
% 82.65/52.22 tff(6752,plain,
% 82.65/52.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1))),
% 82.65/52.22 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 82.65/52.22 tff(6753,plain,
% 82.65/52.22 (v127(constB37, 1) | (~v129(constB38, 1))),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6752, 401, 6630])).
% 82.65/52.22 tff(6754,plain,
% 82.65/52.22 (~v129(constB38, 1)),
% 82.65/52.22 inference(unit_resolution,[status(thm)],[6753, 6749])).
% 82.65/52.22 tff(6755,plain,
% 82.65/52.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 82.65/52.22 inference(rewrite,[status(thm)],[])).
% 82.65/52.22 tff(6756,plain,
% 82.65/52.22 (((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1)) <=> ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6757,plain,
% 82.65/52.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6756])).
% 82.65/52.23 tff(6758,plain,
% 82.65/52.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6757, 6755])).
% 82.65/52.23 tff(6759,plain,
% 82.65/52.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6760,plain,
% 82.65/52.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 82.65/52.23 tff(6761,plain,
% 82.65/52.23 ((~v90(constB38, 1)) | (~v100(constB38))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6760, 416, 6754])).
% 82.65/52.23 tff(6762,plain,
% 82.65/52.23 (~v90(constB38, 1)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6761, 6664])).
% 82.65/52.23 tff(6763,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6764,plain,
% 82.65/52.23 (((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))) <=> (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6765,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6764])).
% 82.65/52.23 tff(6766,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6765, 6763])).
% 82.65/52.23 tff(6767,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6768,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 82.65/52.23 tff(6769,plain,
% 82.65/52.23 (v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6768, 119, 6716])).
% 82.65/52.23 tff(6770,plain,
% 82.65/52.23 (v90(constB38, 1) | (~v90(constB39, 1))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6769, 6728])).
% 82.65/52.23 tff(6771,plain,
% 82.65/52.23 (~v90(constB39, 1)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6770, 6762])).
% 82.65/52.23 tff(6772,assumption,(~v120(constB37)), introduced(assumption)).
% 82.65/52.23 tff(6773,assumption,(~v122(constB37)), introduced(assumption)).
% 82.65/52.23 tff(6774,assumption,(~v124(constB37)), introduced(assumption)).
% 82.65/52.23 tff(6775,assumption,(~v130(constB37, 0)), introduced(assumption)).
% 82.65/52.23 tff(6776,assumption,(~v123(constB37)), introduced(assumption)).
% 82.65/52.23 tff(6777,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB37)) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6778,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6779,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB37)) | v130(constB37, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6778, 6777])).
% 82.65/52.23 tff(6780,plain,
% 82.65/52.23 (~v121(constB37)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6779, 1146, 6775])).
% 82.65/52.23 tff(6781,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB37)) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6782,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6783,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB37)) | v130(constB37, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 82.65/52.23 tff(6784,plain,
% 82.65/52.23 (~v119(constB37)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6783, 464, 6775])).
% 82.65/52.23 tff(6785,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6786,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6787,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 82.65/52.23 tff(6788,plain,
% 82.65/52.23 (v119(constB37) | v121(constB37) | v123(constB37) | v130(constB37, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6787, 2180, 6774, 6773, 6772])).
% 82.65/52.23 tff(6789,plain,
% 82.65/52.23 ($false),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6788, 6784, 6780, 6776, 6775])).
% 82.65/52.23 tff(6790,plain,(v130(constB37, 0) | v123(constB37) | v124(constB37) | v122(constB37) | v120(constB37)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.23 tff(6791,plain,
% 82.65/52.23 (v123(constB37)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6790, 6775, 6774, 6773, 6772])).
% 82.65/52.23 tff(6792,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB37)) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6793,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB37)) | v130(constB37, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6794,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB37)) | v130(constB37, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 82.65/52.23 tff(6795,plain,
% 82.65/52.23 ($false),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6794, 1664, 6775, 6791])).
% 82.65/52.23 tff(6796,plain,(v130(constB37, 0) | v124(constB37) | v122(constB37) | v120(constB37)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.23 tff(6797,plain,
% 82.65/52.23 (v130(constB37, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6796, 6676, 6684, 6680])).
% 82.65/52.23 tff(6798,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6799,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6800,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 82.65/52.23 tff(6801,plain,
% 82.65/52.23 ((~v130(constB37, 0)) | v127(constB37, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6800, 478, 6612])).
% 82.65/52.23 tff(6802,plain,
% 82.65/52.23 (v127(constB37, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6801, 6797])).
% 82.65/52.23 tff(6803,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6804,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6805,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6804, 6803])).
% 82.65/52.23 tff(6806,plain,
% 82.65/52.23 ((~v127(constB37, 0)) | v129(constB38, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6805, 493, 6630])).
% 82.65/52.23 tff(6807,plain,
% 82.65/52.23 (v129(constB38, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6806, 6802])).
% 82.65/52.23 tff(6808,plain,
% 82.65/52.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6809,plain,
% 82.65/52.23 ((v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0))) <=> (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6810,plain,
% 82.65/52.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6809])).
% 82.65/52.23 tff(6811,plain,
% 82.65/52.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6810, 6808])).
% 82.65/52.23 tff(6812,plain,
% 82.65/52.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6813,plain,
% 82.65/52.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6812, 6811])).
% 82.65/52.23 tff(6814,plain,
% 82.65/52.23 (v90(constB38, 0) | (~v100(constB38))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6813, 508, 6807])).
% 82.65/52.23 tff(6815,plain,
% 82.65/52.23 (v90(constB38, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6814, 6664])).
% 82.65/52.23 tff(6816,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6817,plain,
% 82.65/52.23 (((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)) <=> ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6818,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6817])).
% 82.65/52.23 tff(6819,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6818, 6816])).
% 82.65/52.23 tff(6820,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6821,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 82.65/52.23 tff(6822,plain,
% 82.65/52.23 ((~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6821, 526, 6716])).
% 82.65/52.23 tff(6823,plain,
% 82.65/52.23 ((~v90(constB38, 0)) | v90(constB39, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6822, 6728])).
% 82.65/52.23 tff(6824,plain,
% 82.65/52.23 (v90(constB39, 0)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6823, 6815])).
% 82.65/52.23 tff(6825,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6826,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6827,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 82.65/52.23 tff(6828,plain,
% 82.65/52.23 (v120(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6827, 614, 6824, 6771, 6737])).
% 82.65/52.23 tff(6829,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6830,plain,
% 82.65/52.23 (((~v120(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v120(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6831,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6830])).
% 82.65/52.23 tff(6832,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6831, 6829])).
% 82.65/52.23 tff(6833,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6834,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 82.65/52.23 tff(6835,plain,
% 82.65/52.23 (v118(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6834, 628, 6828])).
% 82.65/52.23 tff(6836,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6837,plain,
% 82.65/52.23 (((~v118(constB39)) | v117(constB39)) <=> (v117(constB39) | (~v118(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6838,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6837])).
% 82.65/52.23 tff(6839,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6838, 6836])).
% 82.65/52.23 tff(6840,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6841,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 82.65/52.23 tff(6842,plain,
% 82.65/52.23 (v117(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6841, 186, 6835])).
% 82.65/52.23 tff(6843,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6844,plain,
% 82.65/52.23 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6845,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6844])).
% 82.65/52.23 tff(6846,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6845, 6843])).
% 82.65/52.23 tff(6847,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6848,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 82.65/52.23 tff(6849,plain,
% 82.65/52.23 (v116(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6848, 200, 6842])).
% 82.65/52.23 tff(6850,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6851,plain,
% 82.65/52.23 (((~v116(constB39)) | v115(constB39)) <=> (v115(constB39) | (~v116(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6852,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v116(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6851])).
% 82.65/52.23 tff(6853,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6852, 6850])).
% 82.65/52.23 tff(6854,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6855,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v116(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 82.65/52.23 tff(6856,plain,
% 82.65/52.23 (v115(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6855, 214, 6849])).
% 82.65/52.23 tff(6857,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6858,plain,
% 82.65/52.23 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6859,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6858])).
% 82.65/52.23 tff(6860,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6859, 6857])).
% 82.65/52.23 tff(6861,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6862,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 82.65/52.23 tff(6863,plain,
% 82.65/52.23 (v114(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6862, 228, 6856])).
% 82.65/52.23 tff(6864,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6865,plain,
% 82.65/52.23 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6866,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6865])).
% 82.65/52.23 tff(6867,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6866, 6864])).
% 82.65/52.23 tff(6868,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6869,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 82.65/52.23 tff(6870,plain,
% 82.65/52.23 (v113(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6869, 242, 6863])).
% 82.65/52.23 tff(6871,assumption,(~v108(constB39)), introduced(assumption)).
% 82.65/52.23 tff(6872,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6873,plain,
% 82.65/52.23 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6874,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6873])).
% 82.65/52.23 tff(6875,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6874, 6872])).
% 82.65/52.23 tff(6876,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6877,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6876, 6875])).
% 82.65/52.23 tff(6878,plain,
% 82.65/52.23 (~v112(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6877, 268, 6871])).
% 82.65/52.23 tff(6879,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v26(constB39)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6880,plain,
% 82.65/52.23 (((~v26(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v26(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6881,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v26(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6880])).
% 82.65/52.23 tff(6882,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6881, 6879])).
% 82.65/52.23 tff(6883,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6884,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 82.65/52.23 tff(6885,plain,
% 82.65/52.23 (~v26(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6884, 685, 6871])).
% 82.65/52.23 tff(6886,assumption,(v113(constB39)), introduced(assumption)).
% 82.65/52.23 tff(6887,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6888,plain,
% 82.65/52.23 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6889,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | v112(constB39) | (~v113(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6888])).
% 82.65/52.23 tff(6890,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6889, 6887])).
% 82.65/52.23 tff(6891,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6892,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 82.65/52.23 tff(6893,plain,
% 82.65/52.23 (v26(constB39) | v112(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6892, 256, 6886])).
% 82.65/52.23 tff(6894,plain,
% 82.65/52.23 ($false),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6893, 6885, 6878])).
% 82.65/52.23 tff(6895,plain,(v108(constB39) | (~v113(constB39))), inference(lemma,lemma(discharge,[]))).
% 82.65/52.23 tff(6896,plain,
% 82.65/52.23 (v108(constB39)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6895, 6870])).
% 82.65/52.23 tff(6897,plain,
% 82.65/52.23 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6898,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 82.65/52.23 tff(6899,plain,
% 82.65/52.23 (nextState(constB39, constB40)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 82.65/52.23 tff(6900,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6901,plain,
% 82.65/52.23 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6902,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6901])).
% 82.65/52.23 tff(6903,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6902, 6900])).
% 82.65/52.23 tff(6904,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6905,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6904, 6903])).
% 82.65/52.23 tff(6906,plain,
% 82.65/52.23 (v110(constB40) | (~v108(constB39))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6905, 288, 6899])).
% 82.65/52.23 tff(6907,plain,
% 82.65/52.23 (v110(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6906, 6896])).
% 82.65/52.23 tff(6908,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6909,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6910,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 82.65/52.23 tff(6911,plain,
% 82.65/52.23 (~v104(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6910, 306, 6899, 6713])).
% 82.65/52.23 tff(6912,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6913,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6914,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 82.65/52.23 tff(6915,plain,
% 82.65/52.23 (v102(constB40) | v104(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6914, 320, 6899])).
% 82.65/52.23 tff(6916,plain,
% 82.65/52.23 (v102(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6915, 6911])).
% 82.65/52.23 tff(6917,plain,
% 82.65/52.23 (v1(constB40) <=> v1(constB40)),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6918,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 82.65/52.23 tff(6919,plain,
% 82.65/52.23 (v1(constB40)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6918, 6917])).
% 82.65/52.23 tff(6920,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6921,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6922,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 82.65/52.23 tff(6923,plain,
% 82.65/52.23 (v101(constB40) | (~v102(constB40))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6922, 338, 6899, 6919])).
% 82.65/52.23 tff(6924,plain,
% 82.65/52.23 (v101(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6923, 6916])).
% 82.65/52.23 tff(6925,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6926,plain,
% 82.65/52.23 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6927,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 82.65/52.23 inference(monotonicity,[status(thm)],[6926])).
% 82.65/52.23 tff(6928,plain,
% 82.65/52.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 82.65/52.23 inference(transitivity,[status(thm)],[6927, 6925])).
% 82.65/52.23 tff(6929,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6930,plain,
% 82.65/52.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 82.65/52.23 tff(6931,plain,
% 82.65/52.23 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6930, 353, 6899])).
% 82.65/52.23 tff(6932,plain,
% 82.65/52.23 (v100(constB40) | (~v110(constB40))),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6931, 6924])).
% 82.65/52.23 tff(6933,plain,
% 82.65/52.23 (v100(constB40)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6932, 6907])).
% 82.65/52.23 tff(6934,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6935,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6936,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1)),
% 82.65/52.23 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 82.65/52.23 tff(6937,plain,
% 82.65/52.23 (v130(constB39, 1)),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6936, 804, 6828])).
% 82.65/52.23 tff(6938,assumption,(v26(constB39)), introduced(assumption)).
% 82.65/52.23 tff(6939,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 82.65/52.23 inference(quant_inst,[status(thm)],[])).
% 82.65/52.23 tff(6940,plain,
% 82.65/52.23 ($false),
% 82.65/52.23 inference(unit_resolution,[status(thm)],[6939, 19, 6938])).
% 82.65/52.23 tff(6941,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.23 tff(6942,plain,
% 82.65/52.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 82.65/52.23 inference(rewrite,[status(thm)],[])).
% 82.65/52.23 tff(6943,plain,
% 82.65/52.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6944,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 82.65/52.24 tff(6945,plain,
% 82.65/52.24 ((~v130(constB39, 1)) | v127(constB39, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6944, 818, 6941])).
% 82.65/52.24 tff(6946,plain,
% 82.65/52.24 (v127(constB39, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6945, 6937])).
% 82.65/52.24 tff(6947,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6948,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6949,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6948, 6947])).
% 82.65/52.24 tff(6950,plain,
% 82.65/52.24 ((~v127(constB39, 1)) | v129(constB40, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6949, 833, 6899])).
% 82.65/52.24 tff(6951,plain,
% 82.65/52.24 (v129(constB40, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6950, 6946])).
% 82.65/52.24 tff(6952,plain,
% 82.65/52.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6953,plain,
% 82.65/52.24 ((v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1))) <=> (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6954,plain,
% 82.65/52.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[6953])).
% 82.65/52.24 tff(6955,plain,
% 82.65/52.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 82.65/52.24 inference(transitivity,[status(thm)],[6954, 6952])).
% 82.65/52.24 tff(6956,plain,
% 82.65/52.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6957,plain,
% 82.65/52.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 82.65/52.24 tff(6958,plain,
% 82.65/52.24 (v90(constB40, 1) | (~v100(constB40))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6957, 848, 6951])).
% 82.65/52.24 tff(6959,plain,
% 82.65/52.24 (v90(constB40, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6958, 6933])).
% 82.65/52.24 tff(6960,plain,
% 82.65/52.24 ((~v1(constB41)) <=> (~v1(constB41))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6961,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 82.65/52.24 tff(6962,plain,
% 82.65/52.24 (~v1(constB41)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6961, 6960])).
% 82.65/52.24 tff(6963,plain,
% 82.65/52.24 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6964,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 82.65/52.24 tff(6965,plain,
% 82.65/52.24 (nextState(constB40, constB41)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 82.65/52.24 tff(6966,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6967,plain,
% 82.65/52.24 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6968,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[6967])).
% 82.65/52.24 tff(6969,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 82.65/52.24 inference(transitivity,[status(thm)],[6968, 6966])).
% 82.65/52.24 tff(6970,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6971,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 82.65/52.24 tff(6972,plain,
% 82.65/52.24 (~v101(constB41)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6971, 66, 6965, 6962])).
% 82.65/52.24 tff(6973,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6974,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6975,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 82.65/52.24 tff(6976,plain,
% 82.65/52.24 (v101(constB41) | (~v100(constB41))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6975, 83, 6965])).
% 82.65/52.24 tff(6977,plain,
% 82.65/52.24 (~v100(constB41)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6976, 6972])).
% 82.65/52.24 tff(6978,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6979,plain,
% 82.65/52.24 (((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)) <=> ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6980,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[6979])).
% 82.65/52.24 tff(6981,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 82.65/52.24 inference(transitivity,[status(thm)],[6980, 6978])).
% 82.65/52.24 tff(6982,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6983,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 82.65/52.24 tff(6984,plain,
% 82.65/52.24 ((~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6983, 866, 6965])).
% 82.65/52.24 tff(6985,plain,
% 82.65/52.24 ((~v90(constB40, 1)) | v90(constB41, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6984, 6977])).
% 82.65/52.24 tff(6986,plain,
% 82.65/52.24 (v90(constB41, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6985, 6959])).
% 82.65/52.24 tff(6987,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6988,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6989,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 82.65/52.24 tff(6990,plain,
% 82.65/52.24 (~v130(constB39, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6989, 882, 6828])).
% 82.65/52.24 tff(6991,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6992,plain,
% 82.65/52.24 ((v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0))) <=> ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(6993,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[6992])).
% 82.65/52.24 tff(6994,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 82.65/52.24 inference(transitivity,[status(thm)],[6993, 6991])).
% 82.65/52.24 tff(6995,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(6996,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 82.65/52.24 tff(6997,plain,
% 82.65/52.24 ((~v127(constB39, 0)) | v130(constB39, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6996, 896, 6941])).
% 82.65/52.24 tff(6998,plain,
% 82.65/52.24 (~v127(constB39, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6997, 6990])).
% 82.65/52.24 tff(6999,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7000,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7001,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 82.65/52.24 tff(7002,plain,
% 82.65/52.24 (v127(constB39, 0) | (~v129(constB40, 0))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7001, 914, 6899])).
% 82.65/52.24 tff(7003,plain,
% 82.65/52.24 (~v129(constB40, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7002, 6998])).
% 82.65/52.24 tff(7004,plain,
% 82.65/52.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7005,plain,
% 82.65/52.24 (((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0)) <=> ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7006,plain,
% 82.65/52.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7005])).
% 82.65/52.24 tff(7007,plain,
% 82.65/52.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7006, 7004])).
% 82.65/52.24 tff(7008,plain,
% 82.65/52.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7009,plain,
% 82.65/52.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 82.65/52.24 tff(7010,plain,
% 82.65/52.24 ((~v90(constB40, 0)) | (~v100(constB40))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7009, 929, 7003])).
% 82.65/52.24 tff(7011,plain,
% 82.65/52.24 (~v90(constB40, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7010, 6933])).
% 82.65/52.24 tff(7012,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7013,plain,
% 82.65/52.24 (((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))) <=> (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7014,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7013])).
% 82.65/52.24 tff(7015,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7014, 7012])).
% 82.65/52.24 tff(7016,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7017,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 82.65/52.24 tff(7018,plain,
% 82.65/52.24 (v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7017, 140, 6965])).
% 82.65/52.24 tff(7019,plain,
% 82.65/52.24 (v90(constB40, 0) | (~v90(constB41, 0))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7018, 6977])).
% 82.65/52.24 tff(7020,plain,
% 82.65/52.24 (~v90(constB41, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7019, 7011])).
% 82.65/52.24 tff(7021,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB39)) | (~v90(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB39)) | (~v90(constB39, 0)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7022,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB39)) | (~v90(constB39, 0)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7023,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB39)) | (~v90(constB39, 0))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 82.65/52.24 tff(7024,plain,
% 82.65/52.24 (~v123(constB39)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7023, 5851, 6824])).
% 82.65/52.24 tff(7025,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB39)) | v90(constB39, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB39)) | v90(constB39, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7026,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB39)) | v90(constB39, 2))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7027,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB39)) | v90(constB39, 2)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 82.65/52.24 tff(7028,plain,
% 82.65/52.24 (~v124(constB39)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7027, 5840, 6737])).
% 82.65/52.24 tff(7029,assumption,(v90(constB40, 2)), introduced(assumption)).
% 82.65/52.24 tff(7030,assumption,(~v124(constB39)), introduced(assumption)).
% 82.65/52.24 tff(7031,assumption,(~v123(constB39)), introduced(assumption)).
% 82.65/52.24 tff(7032,assumption,(~v90(constB38, 1)), introduced(assumption)).
% 82.65/52.24 tff(7033,plain,
% 82.65/52.24 (~v90(constB39, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6770, 7032])).
% 82.65/52.24 tff(7034,assumption,(v90(constB39, 2)), introduced(assumption)).
% 82.65/52.24 tff(7035,assumption,(~v90(constB39, 1)), introduced(assumption)).
% 82.65/52.24 tff(7036,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | (~v90(constB39, 2)) | v124(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | (~v90(constB39, 2)) | v124(constB39))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7037,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | (~v90(constB39, 2)) | v124(constB39))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7038,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | (~v90(constB39, 2)) | v124(constB39)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 82.65/52.24 tff(7039,plain,
% 82.65/52.24 ((~v90(constB39, 0)) | v90(constB39, 1) | (~v90(constB39, 2))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7038, 1705, 7030])).
% 82.65/52.24 tff(7040,plain,
% 82.65/52.24 (~v90(constB39, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7039, 7035, 7034])).
% 82.65/52.24 tff(7041,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB39, 0) | v90(constB39, 1) | (~v90(constB39, 2)) | v123(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB39, 0) | v90(constB39, 1) | (~v90(constB39, 2)) | v123(constB39))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7042,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB39, 0) | v90(constB39, 1) | (~v90(constB39, 2)) | v123(constB39))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7043,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB39, 0) | v90(constB39, 1) | (~v90(constB39, 2)) | v123(constB39)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7042, 7041])).
% 82.65/52.24 tff(7044,plain,
% 82.65/52.24 (v90(constB39, 0) | v90(constB39, 1) | (~v90(constB39, 2))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7043, 1475, 7031])).
% 82.65/52.24 tff(7045,plain,
% 82.65/52.24 ($false),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7044, 7040, 7035, 7034])).
% 82.65/52.24 tff(7046,plain,(v90(constB39, 1) | (~v90(constB39, 2)) | v123(constB39) | v124(constB39)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.24 tff(7047,plain,
% 82.65/52.24 (~v90(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7046, 7033, 7031, 7030])).
% 82.65/52.24 tff(7048,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7049,plain,
% 82.65/52.24 (((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2))) <=> (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7050,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7049])).
% 82.65/52.24 tff(7051,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7050, 7048])).
% 82.65/52.24 tff(7052,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7053,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 82.65/52.24 tff(7054,plain,
% 82.65/52.24 (v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7053, 98, 6899])).
% 82.65/52.24 tff(7055,plain,
% 82.65/52.24 (v100(constB40)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7054, 7047, 7029])).
% 82.65/52.24 tff(7056,plain,
% 82.65/52.24 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7057,plain,
% 82.65/52.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7058,plain,
% 82.65/52.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 82.65/52.24 tff(7059,plain,
% 82.65/52.24 (v129(constB40, 2) | (~v100(constB40))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7058, 589, 7029])).
% 82.65/52.24 tff(7060,plain,
% 82.65/52.24 (v129(constB40, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7059, 7055])).
% 82.65/52.24 tff(7061,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7062,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7063,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2))),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 82.65/52.24 tff(7064,plain,
% 82.65/52.24 (v127(constB39, 2) | (~v129(constB40, 2))),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7063, 574, 6899])).
% 82.65/52.24 tff(7065,plain,
% 82.65/52.24 (v127(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7064, 7060])).
% 82.65/52.24 tff(7066,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7067,plain,
% 82.65/52.24 ((v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2))) <=> ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7068,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7067])).
% 82.65/52.24 tff(7069,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7068, 7066])).
% 82.65/52.24 tff(7070,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7071,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 82.65/52.24 tff(7072,plain,
% 82.65/52.24 ((~v127(constB39, 2)) | v130(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7071, 556, 6941])).
% 82.65/52.24 tff(7073,plain,
% 82.65/52.24 (v130(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7072, 7065])).
% 82.65/52.24 tff(7074,assumption,(~v90(constB37, 0)), introduced(assumption)).
% 82.65/52.24 tff(7075,assumption,(~v120(constB39)), introduced(assumption)).
% 82.65/52.24 tff(7076,plain,
% 82.65/52.24 ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6827, 614, 7075])).
% 82.65/52.24 tff(7077,plain,
% 82.65/52.24 (~v90(constB39, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7076, 7033, 7047])).
% 82.65/52.24 tff(7078,plain,
% 82.65/52.24 (~v90(constB38, 0)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[6823, 7077])).
% 82.65/52.24 tff(7079,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7080,plain,
% 82.65/52.24 (((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2)) <=> ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7081,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7080])).
% 82.65/52.24 tff(7082,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7081, 7079])).
% 82.65/52.24 tff(7083,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7084,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 82.65/52.24 tff(7085,plain,
% 82.65/52.24 ((~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7084, 1374, 6716])).
% 82.65/52.24 tff(7086,plain,
% 82.65/52.24 ((~v90(constB38, 2)) | v90(constB39, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7085, 6728])).
% 82.65/52.24 tff(7087,plain,
% 82.65/52.24 (~v90(constB38, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7086, 7047])).
% 82.65/52.24 tff(7088,assumption,(~v100(constB38)), introduced(assumption)).
% 82.65/52.24 tff(7089,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7090,plain,
% 82.65/52.24 (((~nextState(constB37, constB38)) | (~v90(constB37, 1)) | v100(constB38) | v90(constB38, 1)) <=> ((~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7091,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 1)) | v100(constB38) | v90(constB38, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7090])).
% 82.65/52.24 tff(7092,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 1)) | v100(constB38) | v90(constB38, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7091, 7089])).
% 82.65/52.24 tff(7093,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 1)) | v100(constB38) | v90(constB38, 1))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7094,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB37, 1)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 1)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 82.65/52.24 tff(7095,plain,
% 82.65/52.24 ((~v90(constB37, 1)) | v100(constB38) | v90(constB38, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7094, 866, 6630])).
% 82.65/52.24 tff(7096,plain,
% 82.65/52.24 (~v90(constB37, 1)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7095, 7088, 7032])).
% 82.65/52.24 tff(7097,assumption,(~v90(constB38, 2)), introduced(assumption)).
% 82.65/52.24 tff(7098,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7099,plain,
% 82.65/52.24 (((~nextState(constB37, constB38)) | (~v90(constB37, 2)) | v100(constB38) | v90(constB38, 2)) <=> ((~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7100,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 2)) | v100(constB38) | v90(constB38, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7099])).
% 82.65/52.24 tff(7101,plain,
% 82.65/52.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 2)) | v100(constB38) | v90(constB38, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7100, 7098])).
% 82.65/52.24 tff(7102,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB37, constB38)) | (~v90(constB37, 2)) | v100(constB38) | v90(constB38, 2))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7103,plain,
% 82.65/52.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB37, 2)) | (~nextState(constB37, constB38)) | v100(constB38) | v90(constB38, 2)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 82.65/52.24 tff(7104,plain,
% 82.65/52.24 ((~v90(constB37, 2)) | v100(constB38) | v90(constB38, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7103, 1374, 6630])).
% 82.65/52.24 tff(7105,plain,
% 82.65/52.24 (~v90(constB37, 2)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7104, 7088, 7097])).
% 82.65/52.24 tff(7106,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7107,plain,
% 82.65/52.24 ((v90(constB37, 0) | v119(constB37) | v90(constB37, 1) | v90(constB37, 2)) <=> (v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7108,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB37, 0) | v119(constB37) | v90(constB37, 1) | v90(constB37, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37)))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7107])).
% 82.65/52.24 tff(7109,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB37, 0) | v119(constB37) | v90(constB37, 1) | v90(constB37, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37))),
% 82.65/52.24 inference(transitivity,[status(thm)],[7108, 7106])).
% 82.65/52.24 tff(7110,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB37, 0) | v119(constB37) | v90(constB37, 1) | v90(constB37, 2))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7111,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB37, 0) | v90(constB37, 1) | v90(constB37, 2) | v119(constB37)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 82.65/52.24 tff(7112,plain,
% 82.65/52.24 (v90(constB37, 1) | v90(constB37, 2) | v119(constB37)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7111, 161, 7074])).
% 82.65/52.24 tff(7113,plain,
% 82.65/52.24 (v119(constB37)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7112, 7105, 7096])).
% 82.65/52.24 tff(7114,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB37)) | v118(constB37))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7115,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB37)) | v118(constB37))),
% 82.65/52.24 inference(quant_inst,[status(thm)],[])).
% 82.65/52.24 tff(7116,plain,
% 82.65/52.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB37)) | v118(constB37)),
% 82.65/52.24 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 82.65/52.24 tff(7117,plain,
% 82.65/52.24 (v118(constB37)),
% 82.65/52.24 inference(unit_resolution,[status(thm)],[7116, 175, 7113])).
% 82.65/52.24 tff(7118,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7119,plain,
% 82.65/52.24 (((~v118(constB37)) | v117(constB37)) <=> (v117(constB37) | (~v118(constB37)))),
% 82.65/52.24 inference(rewrite,[status(thm)],[])).
% 82.65/52.24 tff(7120,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37))))),
% 82.65/52.24 inference(monotonicity,[status(thm)],[7119])).
% 82.65/52.24 tff(7121,plain,
% 82.65/52.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7120, 7118])).
% 82.65/52.25 tff(7122,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7123,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7122, 7121])).
% 82.65/52.25 tff(7124,plain,
% 82.65/52.25 (v117(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7123, 186, 7117])).
% 82.65/52.25 tff(7125,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB37)) | v116(constB37))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7126,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7127,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB37)) | v116(constB37)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7126, 7125])).
% 82.65/52.25 tff(7128,plain,
% 82.65/52.25 (v116(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7127, 200, 7124])).
% 82.65/52.25 tff(7129,plain,
% 82.65/52.25 (~v110(constB38)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6663, 7088])).
% 82.65/52.25 tff(7130,plain,
% 82.65/52.25 (~v108(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6637, 7129])).
% 82.65/52.25 tff(7131,plain,
% 82.65/52.25 (~v112(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6626, 268, 7130])).
% 82.65/52.25 tff(7132,plain,
% 82.65/52.25 (~v113(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6619, 7131])).
% 82.65/52.25 tff(7133,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v114(constB37)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7134,plain,
% 82.65/52.25 (((~v114(constB37)) | v113(constB37)) <=> (v113(constB37) | (~v114(constB37)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7135,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v114(constB37))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7134])).
% 82.65/52.25 tff(7136,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7135, 7133])).
% 82.65/52.25 tff(7137,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7138,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v114(constB37))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 82.65/52.25 tff(7139,plain,
% 82.65/52.25 (~v114(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7138, 242, 7132])).
% 82.65/52.25 tff(7140,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7141,plain,
% 82.65/52.25 (((~v115(constB37)) | v114(constB37)) <=> (v114(constB37) | (~v115(constB37)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7142,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7141])).
% 82.65/52.25 tff(7143,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7142, 7140])).
% 82.65/52.25 tff(7144,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7145,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 82.65/52.25 tff(7146,plain,
% 82.65/52.25 (~v115(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7145, 228, 7139])).
% 82.65/52.25 tff(7147,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB37)) | v115(constB37))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7148,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7149,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB37)) | v115(constB37)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 82.65/52.25 tff(7150,plain,
% 82.65/52.25 ($false),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7149, 214, 7146, 7128])).
% 82.65/52.25 tff(7151,plain,(v100(constB38) | v90(constB37, 0) | v90(constB38, 2) | v90(constB38, 1)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.25 tff(7152,plain,
% 82.65/52.25 (v100(constB38)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7151, 7087, 7032, 7074])).
% 82.65/52.25 tff(7153,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB37)) | v90(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7154,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7155,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB37)) | v90(constB37, 0)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 82.65/52.25 tff(7156,plain,
% 82.65/52.25 (~v120(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7155, 5676, 7074])).
% 82.65/52.25 tff(7157,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB37)) | v90(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7158,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7159,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB37)) | v90(constB37, 0)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 82.65/52.25 tff(7160,plain,
% 82.65/52.25 (~v122(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7159, 5863, 7074])).
% 82.65/52.25 tff(7161,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB37)) | v90(constB37, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7162,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB37)) | v90(constB37, 0))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7163,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB37)) | v90(constB37, 0)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 82.65/52.25 tff(7164,plain,
% 82.65/52.25 (~v124(constB37)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7163, 5687, 7074])).
% 82.65/52.25 tff(7165,plain,
% 82.65/52.25 (v130(constB37, 0)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6796, 7164, 7160, 7156])).
% 82.65/52.25 tff(7166,plain,
% 82.65/52.25 (v127(constB37, 0)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6801, 7165])).
% 82.65/52.25 tff(7167,plain,
% 82.65/52.25 (v129(constB38, 0)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6806, 7166])).
% 82.65/52.25 tff(7168,plain,
% 82.65/52.25 (v90(constB38, 0) | (~v100(constB38))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[6813, 508, 7167])).
% 82.65/52.25 tff(7169,plain,
% 82.65/52.25 ($false),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7168, 7152, 7078])).
% 82.65/52.25 tff(7170,plain,(v90(constB38, 1) | v90(constB37, 0) | v120(constB39) | v123(constB39) | v124(constB39)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.25 tff(7171,plain,
% 82.65/52.25 (v120(constB39)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7170, 7032, 7074, 7031, 7030])).
% 82.65/52.25 tff(7172,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7173,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7174,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 82.65/52.25 tff(7175,plain,
% 82.65/52.25 ($false),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7174, 744, 7171, 7073])).
% 82.65/52.25 tff(7176,plain,(v90(constB38, 1) | (~v90(constB40, 2)) | v123(constB39) | v124(constB39) | v90(constB37, 0)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.25 tff(7177,plain,
% 82.65/52.25 (~v90(constB40, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7176, 7028, 6597, 6762, 7024])).
% 82.65/52.25 tff(7178,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7179,plain,
% 82.65/52.25 (((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))) <=> (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7180,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7179])).
% 82.65/52.25 tff(7181,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7180, 7178])).
% 82.65/52.25 tff(7182,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7183,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 82.65/52.25 tff(7184,plain,
% 82.65/52.25 (v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7183, 98, 6965])).
% 82.65/52.25 tff(7185,plain,
% 82.65/52.25 (v90(constB40, 2) | (~v90(constB41, 2))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7184, 6977])).
% 82.65/52.25 tff(7186,plain,
% 82.65/52.25 (~v90(constB41, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7185, 7177])).
% 82.65/52.25 tff(7187,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7188,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7189,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7188, 7187])).
% 82.65/52.25 tff(7190,plain,
% 82.65/52.25 (v90(constB41, 0) | (~v90(constB41, 1)) | v121(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7189, 956, 7186])).
% 82.65/52.25 tff(7191,plain,
% 82.65/52.25 (v121(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7190, 7020, 6986])).
% 82.65/52.25 tff(7192,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7193,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7194,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 82.65/52.25 tff(7195,plain,
% 82.65/52.25 (v117(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7194, 967, 7191])).
% 82.65/52.25 tff(7196,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7197,plain,
% 82.65/52.25 (((~v117(constB41)) | v116(constB41)) <=> (v116(constB41) | (~v117(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7198,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7197])).
% 82.65/52.25 tff(7199,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7198, 7196])).
% 82.65/52.25 tff(7200,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7201,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 82.65/52.25 tff(7202,plain,
% 82.65/52.25 (v116(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7201, 200, 7195])).
% 82.65/52.25 tff(7203,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7204,plain,
% 82.65/52.25 (((~v116(constB41)) | v115(constB41)) <=> (v115(constB41) | (~v116(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7205,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7204])).
% 82.65/52.25 tff(7206,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7205, 7203])).
% 82.65/52.25 tff(7207,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7208,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 82.65/52.25 tff(7209,plain,
% 82.65/52.25 (v115(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7208, 214, 7202])).
% 82.65/52.25 tff(7210,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7211,plain,
% 82.65/52.25 (((~v115(constB41)) | v114(constB41)) <=> (v114(constB41) | (~v115(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7212,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB41) | (~v115(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7211])).
% 82.65/52.25 tff(7213,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7212, 7210])).
% 82.65/52.25 tff(7214,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7215,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB41) | (~v115(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 82.65/52.25 tff(7216,plain,
% 82.65/52.25 (v114(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7215, 228, 7209])).
% 82.65/52.25 tff(7217,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7218,plain,
% 82.65/52.25 (((~v114(constB41)) | v113(constB41)) <=> (v113(constB41) | (~v114(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7219,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB41) | (~v114(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7218])).
% 82.65/52.25 tff(7220,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7219, 7217])).
% 82.65/52.25 tff(7221,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7222,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB41) | (~v114(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7221, 7220])).
% 82.65/52.25 tff(7223,plain,
% 82.65/52.25 (v113(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7222, 242, 7216])).
% 82.65/52.25 tff(7224,assumption,(v26(constB41)), introduced(assumption)).
% 82.65/52.25 tff(7225,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7226,plain,
% 82.65/52.25 ($false),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7225, 19, 7224])).
% 82.65/52.25 tff(7227,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.25 tff(7228,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7229,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7230,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 82.65/52.25 tff(7231,plain,
% 82.65/52.25 ((~v113(constB41)) | v112(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7230, 256, 7227])).
% 82.65/52.25 tff(7232,plain,
% 82.65/52.25 (v112(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7231, 7223])).
% 82.65/52.25 tff(7233,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7234,plain,
% 82.65/52.25 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7235,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7234])).
% 82.65/52.25 tff(7236,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7235, 7233])).
% 82.65/52.25 tff(7237,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7238,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 82.65/52.25 tff(7239,plain,
% 82.65/52.25 (v108(constB41)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7238, 268, 7232])).
% 82.65/52.25 tff(7240,plain,
% 82.65/52.25 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7241,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 82.65/52.25 tff(7242,plain,
% 82.65/52.25 (nextState(constB41, constB42)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7241, 7240])).
% 82.65/52.25 tff(7243,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7244,plain,
% 82.65/52.25 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7245,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7244])).
% 82.65/52.25 tff(7246,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7245, 7243])).
% 82.65/52.25 tff(7247,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7248,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 82.65/52.25 tff(7249,plain,
% 82.65/52.25 (v110(constB42) | (~v108(constB41))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7248, 288, 7242])).
% 82.65/52.25 tff(7250,plain,
% 82.65/52.25 (v110(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7249, 7239])).
% 82.65/52.25 tff(7251,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7252,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7253,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 82.65/52.25 tff(7254,plain,
% 82.65/52.25 (~v104(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7253, 306, 7242, 6962])).
% 82.65/52.25 tff(7255,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7256,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7257,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 82.65/52.25 tff(7258,plain,
% 82.65/52.25 (v102(constB42) | v104(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7257, 320, 7242])).
% 82.65/52.25 tff(7259,plain,
% 82.65/52.25 (v102(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7258, 7254])).
% 82.65/52.25 tff(7260,plain,
% 82.65/52.25 (v1(constB42) <=> v1(constB42)),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7261,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 82.65/52.25 tff(7262,plain,
% 82.65/52.25 (v1(constB42)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 82.65/52.25 tff(7263,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7264,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7265,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 82.65/52.25 tff(7266,plain,
% 82.65/52.25 (v101(constB42) | (~v102(constB42))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7265, 338, 7242, 7262])).
% 82.65/52.25 tff(7267,plain,
% 82.65/52.25 (v101(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7266, 7259])).
% 82.65/52.25 tff(7268,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7269,plain,
% 82.65/52.25 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7270,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7269])).
% 82.65/52.25 tff(7271,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7270, 7268])).
% 82.65/52.25 tff(7272,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7273,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7272, 7271])).
% 82.65/52.25 tff(7274,plain,
% 82.65/52.25 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7273, 353, 7242])).
% 82.65/52.25 tff(7275,plain,
% 82.65/52.25 (v100(constB42) | (~v110(constB42))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7274, 7267])).
% 82.65/52.25 tff(7276,plain,
% 82.65/52.25 (v100(constB42)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7275, 7250])).
% 82.65/52.25 tff(7277,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7278,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7279,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 82.65/52.25 tff(7280,plain,
% 82.65/52.25 (~v130(constB41, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7279, 1052, 7191])).
% 82.65/52.25 tff(7281,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7282,plain,
% 82.65/52.25 ((v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2))) <=> ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7283,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7282])).
% 82.65/52.25 tff(7284,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7283, 7281])).
% 82.65/52.25 tff(7285,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7286,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 82.65/52.25 tff(7287,plain,
% 82.65/52.25 ((~v127(constB41, 2)) | v130(constB41, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7286, 556, 7227])).
% 82.65/52.25 tff(7288,plain,
% 82.65/52.25 (~v127(constB41, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7287, 7280])).
% 82.65/52.25 tff(7289,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7290,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7291,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 82.65/52.25 tff(7292,plain,
% 82.65/52.25 (v127(constB41, 2) | (~v129(constB42, 2))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7291, 574, 7242])).
% 82.65/52.25 tff(7293,plain,
% 82.65/52.25 (~v129(constB42, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7292, 7288])).
% 82.65/52.25 tff(7294,plain,
% 82.65/52.25 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7295,plain,
% 82.65/52.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7296,plain,
% 82.65/52.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 82.65/52.25 tff(7297,plain,
% 82.65/52.25 ((~v90(constB42, 2)) | (~v100(constB42))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7296, 589, 7293])).
% 82.65/52.25 tff(7298,plain,
% 82.65/52.25 (~v90(constB42, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7297, 7276])).
% 82.65/52.25 tff(7299,plain,
% 82.65/52.25 ((~v1(constB43)) <=> (~v1(constB43))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7300,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 82.65/52.25 tff(7301,plain,
% 82.65/52.25 (~v1(constB43)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 82.65/52.25 tff(7302,plain,
% 82.65/52.25 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7303,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 82.65/52.25 tff(7304,plain,
% 82.65/52.25 (nextState(constB42, constB43)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7303, 7302])).
% 82.65/52.25 tff(7305,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7306,plain,
% 82.65/52.25 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7307,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7306])).
% 82.65/52.25 tff(7308,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7307, 7305])).
% 82.65/52.25 tff(7309,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7310,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 82.65/52.25 tff(7311,plain,
% 82.65/52.25 (~v101(constB43)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7310, 66, 7304, 7301])).
% 82.65/52.25 tff(7312,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7313,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7314,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 82.65/52.25 tff(7315,plain,
% 82.65/52.25 (v101(constB43) | (~v100(constB43))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7314, 83, 7304])).
% 82.65/52.25 tff(7316,plain,
% 82.65/52.25 (~v100(constB43)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7315, 7311])).
% 82.65/52.25 tff(7317,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7318,plain,
% 82.65/52.25 (((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))) <=> (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7319,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))))),
% 82.65/52.25 inference(monotonicity,[status(thm)],[7318])).
% 82.65/52.25 tff(7320,plain,
% 82.65/52.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 82.65/52.25 inference(transitivity,[status(thm)],[7319, 7317])).
% 82.65/52.25 tff(7321,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7322,plain,
% 82.65/52.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 82.65/52.25 tff(7323,plain,
% 82.65/52.25 (v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7322, 98, 7304])).
% 82.65/52.25 tff(7324,plain,
% 82.65/52.25 (v90(constB42, 2) | (~v90(constB43, 2))),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7323, 7316])).
% 82.65/52.25 tff(7325,plain,
% 82.65/52.25 (~v90(constB43, 2)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7324, 7298])).
% 82.65/52.25 tff(7326,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7327,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7328,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 82.65/52.25 tff(7329,plain,
% 82.65/52.25 (v130(constB41, 1)),
% 82.65/52.25 inference(unit_resolution,[status(thm)],[7328, 1108, 7191])).
% 82.65/52.25 tff(7330,plain,
% 82.65/52.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 82.65/52.25 inference(rewrite,[status(thm)],[])).
% 82.65/52.25 tff(7331,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 82.65/52.25 inference(quant_inst,[status(thm)],[])).
% 82.65/52.25 tff(7332,plain,
% 82.65/52.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1)),
% 82.65/52.25 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 82.65/52.26 tff(7333,plain,
% 82.65/52.26 ((~v130(constB41, 1)) | v127(constB41, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7332, 818, 7227])).
% 82.65/52.26 tff(7334,plain,
% 82.65/52.26 (v127(constB41, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7333, 7329])).
% 82.65/52.26 tff(7335,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7336,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7337,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 82.65/52.26 tff(7338,plain,
% 82.65/52.26 ((~v127(constB41, 1)) | v129(constB42, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7337, 833, 7242])).
% 82.65/52.26 tff(7339,plain,
% 82.65/52.26 (v129(constB42, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7338, 7334])).
% 82.65/52.26 tff(7340,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7341,plain,
% 82.65/52.26 ((v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1))) <=> (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7342,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7341])).
% 82.65/52.26 tff(7343,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7342, 7340])).
% 82.65/52.26 tff(7344,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7345,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 82.65/52.26 tff(7346,plain,
% 82.65/52.26 (v90(constB42, 1) | (~v100(constB42))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7345, 848, 7339])).
% 82.65/52.26 tff(7347,plain,
% 82.65/52.26 (v90(constB42, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7346, 7276])).
% 82.65/52.26 tff(7348,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7349,plain,
% 82.65/52.26 (((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)) <=> ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7350,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7349])).
% 82.65/52.26 tff(7351,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7350, 7348])).
% 82.65/52.26 tff(7352,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7353,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 82.65/52.26 tff(7354,plain,
% 82.65/52.26 ((~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7353, 866, 7304])).
% 82.65/52.26 tff(7355,plain,
% 82.65/52.26 ((~v90(constB42, 1)) | v90(constB43, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7354, 7316])).
% 82.65/52.26 tff(7356,plain,
% 82.65/52.26 (v90(constB43, 1)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7355, 7347])).
% 82.65/52.26 tff(7357,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7358,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7359,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 82.65/52.26 tff(7360,plain,
% 82.65/52.26 (v130(constB41, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7359, 1146, 7191])).
% 82.65/52.26 tff(7361,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7362,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7363,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 82.65/52.26 tff(7364,plain,
% 82.65/52.26 ((~v130(constB41, 0)) | v127(constB41, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7363, 478, 7227])).
% 82.65/52.26 tff(7365,plain,
% 82.65/52.26 (v127(constB41, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7364, 7360])).
% 82.65/52.26 tff(7366,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7367,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7368,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 82.65/52.26 tff(7369,plain,
% 82.65/52.26 ((~v127(constB41, 0)) | v129(constB42, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7368, 493, 7242])).
% 82.65/52.26 tff(7370,plain,
% 82.65/52.26 (v129(constB42, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7369, 7365])).
% 82.65/52.26 tff(7371,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7372,plain,
% 82.65/52.26 ((v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0))) <=> (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7373,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7372])).
% 82.65/52.26 tff(7374,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7373, 7371])).
% 82.65/52.26 tff(7375,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7376,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7375, 7374])).
% 82.65/52.26 tff(7377,plain,
% 82.65/52.26 (v90(constB42, 0) | (~v100(constB42))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7376, 508, 7370])).
% 82.65/52.26 tff(7378,plain,
% 82.65/52.26 (v90(constB42, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7377, 7276])).
% 82.65/52.26 tff(7379,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7380,plain,
% 82.65/52.26 (((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)) <=> ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7381,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7380])).
% 82.65/52.26 tff(7382,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7381, 7379])).
% 82.65/52.26 tff(7383,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7384,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 82.65/52.26 tff(7385,plain,
% 82.65/52.26 ((~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7384, 526, 7304])).
% 82.65/52.26 tff(7386,plain,
% 82.65/52.26 ((~v90(constB42, 0)) | v90(constB43, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7385, 7316])).
% 82.65/52.26 tff(7387,plain,
% 82.65/52.26 (v90(constB43, 0)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7386, 7378])).
% 82.65/52.26 tff(7388,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7389,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7390,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 82.65/52.26 tff(7391,plain,
% 82.65/52.26 (v122(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7390, 1187, 7387, 7356, 7325])).
% 82.65/52.26 tff(7392,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7393,plain,
% 82.65/52.26 (((~v122(constB43)) | v116(constB43)) <=> (v116(constB43) | (~v122(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7394,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB43) | (~v122(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7393])).
% 82.65/52.26 tff(7395,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7394, 7392])).
% 82.65/52.26 tff(7396,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7397,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB43) | (~v122(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 82.65/52.26 tff(7398,plain,
% 82.65/52.26 (v116(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7397, 1257, 7391])).
% 82.65/52.26 tff(7399,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7400,plain,
% 82.65/52.26 (((~v116(constB43)) | v115(constB43)) <=> (v115(constB43) | (~v116(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7401,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB43) | (~v116(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7400])).
% 82.65/52.26 tff(7402,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7401, 7399])).
% 82.65/52.26 tff(7403,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7404,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB43) | (~v116(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 82.65/52.26 tff(7405,plain,
% 82.65/52.26 (v115(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7404, 214, 7398])).
% 82.65/52.26 tff(7406,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7407,plain,
% 82.65/52.26 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7408,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7407])).
% 82.65/52.26 tff(7409,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7408, 7406])).
% 82.65/52.26 tff(7410,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7411,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 82.65/52.26 tff(7412,plain,
% 82.65/52.26 (v114(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7411, 228, 7405])).
% 82.65/52.26 tff(7413,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7414,plain,
% 82.65/52.26 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7415,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7414])).
% 82.65/52.26 tff(7416,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7415, 7413])).
% 82.65/52.26 tff(7417,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7418,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 82.65/52.26 tff(7419,plain,
% 82.65/52.26 (v113(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7418, 242, 7412])).
% 82.65/52.26 tff(7420,assumption,(~v108(constB43)), introduced(assumption)).
% 82.65/52.26 tff(7421,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7422,plain,
% 82.65/52.26 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7423,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7422])).
% 82.65/52.26 tff(7424,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7423, 7421])).
% 82.65/52.26 tff(7425,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7426,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 82.65/52.26 tff(7427,plain,
% 82.65/52.26 (~v112(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7426, 268, 7420])).
% 82.65/52.26 tff(7428,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7429,plain,
% 82.65/52.26 (((~v26(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v26(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7430,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v26(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7429])).
% 82.65/52.26 tff(7431,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7430, 7428])).
% 82.65/52.26 tff(7432,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB43)) | v108(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7433,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v26(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 82.65/52.26 tff(7434,plain,
% 82.65/52.26 (~v26(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7433, 685, 7420])).
% 82.65/52.26 tff(7435,assumption,(v113(constB43)), introduced(assumption)).
% 82.65/52.26 tff(7436,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7437,plain,
% 82.65/52.26 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7438,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | v112(constB43) | (~v113(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7437])).
% 82.65/52.26 tff(7439,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7438, 7436])).
% 82.65/52.26 tff(7440,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7441,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 82.65/52.26 tff(7442,plain,
% 82.65/52.26 (v26(constB43) | v112(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7441, 256, 7435])).
% 82.65/52.26 tff(7443,plain,
% 82.65/52.26 ($false),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7442, 7434, 7427])).
% 82.65/52.26 tff(7444,plain,(v108(constB43) | (~v113(constB43))), inference(lemma,lemma(discharge,[]))).
% 82.65/52.26 tff(7445,plain,
% 82.65/52.26 (v108(constB43)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7444, 7419])).
% 82.65/52.26 tff(7446,plain,
% 82.65/52.26 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7447,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 82.65/52.26 tff(7448,plain,
% 82.65/52.26 (nextState(constB43, constB44)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 82.65/52.26 tff(7449,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7450,plain,
% 82.65/52.26 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7451,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7450])).
% 82.65/52.26 tff(7452,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7451, 7449])).
% 82.65/52.26 tff(7453,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7454,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 82.65/52.26 tff(7455,plain,
% 82.65/52.26 (v110(constB44) | (~v108(constB43))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7454, 288, 7448])).
% 82.65/52.26 tff(7456,plain,
% 82.65/52.26 (v110(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7455, 7445])).
% 82.65/52.26 tff(7457,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7458,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7459,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 82.65/52.26 tff(7460,plain,
% 82.65/52.26 (~v104(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7459, 306, 7448, 7301])).
% 82.65/52.26 tff(7461,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7462,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7463,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 82.65/52.26 tff(7464,plain,
% 82.65/52.26 (v102(constB44) | v104(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7463, 320, 7448])).
% 82.65/52.26 tff(7465,plain,
% 82.65/52.26 (v102(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7464, 7460])).
% 82.65/52.26 tff(7466,plain,
% 82.65/52.26 (v1(constB44) <=> v1(constB44)),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7467,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 82.65/52.26 tff(7468,plain,
% 82.65/52.26 (v1(constB44)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 82.65/52.26 tff(7469,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7470,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7471,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 82.65/52.26 tff(7472,plain,
% 82.65/52.26 (v101(constB44) | (~v102(constB44))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7471, 338, 7448, 7468])).
% 82.65/52.26 tff(7473,plain,
% 82.65/52.26 (v101(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7472, 7465])).
% 82.65/52.26 tff(7474,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7475,plain,
% 82.65/52.26 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7476,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7475])).
% 82.65/52.26 tff(7477,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7476, 7474])).
% 82.65/52.26 tff(7478,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7479,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 82.65/52.26 tff(7480,plain,
% 82.65/52.26 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7479, 353, 7448])).
% 82.65/52.26 tff(7481,plain,
% 82.65/52.26 (v100(constB44) | (~v110(constB44))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7480, 7473])).
% 82.65/52.26 tff(7482,plain,
% 82.65/52.26 (v100(constB44)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7481, 7456])).
% 82.65/52.26 tff(7483,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7484,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7485,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 82.65/52.26 tff(7486,plain,
% 82.65/52.26 (v130(constB43, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7485, 1198, 7391])).
% 82.65/52.26 tff(7487,assumption,(v26(constB43)), introduced(assumption)).
% 82.65/52.26 tff(7488,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7489,plain,
% 82.65/52.26 ($false),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7488, 19, 7487])).
% 82.65/52.26 tff(7490,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.26 tff(7491,plain,
% 82.65/52.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7492,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7493,plain,
% 82.65/52.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 82.65/52.26 tff(7494,plain,
% 82.65/52.26 ((~v130(constB43, 2)) | v127(constB43, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7493, 1212, 7490])).
% 82.65/52.26 tff(7495,plain,
% 82.65/52.26 (v127(constB43, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7494, 7486])).
% 82.65/52.26 tff(7496,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7497,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7498,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 82.65/52.26 tff(7499,plain,
% 82.65/52.26 ((~v127(constB43, 2)) | v129(constB44, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7498, 1230, 7448])).
% 82.65/52.26 tff(7500,plain,
% 82.65/52.26 (v129(constB44, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7499, 7495])).
% 82.65/52.26 tff(7501,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7502,plain,
% 82.65/52.26 ((v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2))) <=> (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7503,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7502])).
% 82.65/52.26 tff(7504,plain,
% 82.65/52.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7503, 7501])).
% 82.65/52.26 tff(7505,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7506,plain,
% 82.65/52.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 82.65/52.26 tff(7507,plain,
% 82.65/52.26 (v90(constB44, 2) | (~v100(constB44))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7506, 1338, 7500])).
% 82.65/52.26 tff(7508,plain,
% 82.65/52.26 (v90(constB44, 2)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7507, 7482])).
% 82.65/52.26 tff(7509,plain,
% 82.65/52.26 ((~v1(constB45)) <=> (~v1(constB45))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7510,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 82.65/52.26 tff(7511,plain,
% 82.65/52.26 (~v1(constB45)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7510, 7509])).
% 82.65/52.26 tff(7512,plain,
% 82.65/52.26 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7513,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 82.65/52.26 tff(7514,plain,
% 82.65/52.26 (nextState(constB44, constB45)),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7513, 7512])).
% 82.65/52.26 tff(7515,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7516,plain,
% 82.65/52.26 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7517,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 82.65/52.26 inference(monotonicity,[status(thm)],[7516])).
% 82.65/52.26 tff(7518,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 82.65/52.26 inference(transitivity,[status(thm)],[7517, 7515])).
% 82.65/52.26 tff(7519,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7520,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 82.65/52.26 tff(7521,plain,
% 82.65/52.26 (~v101(constB45)),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7520, 66, 7514, 7511])).
% 82.65/52.26 tff(7522,plain,
% 82.65/52.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 82.65/52.26 inference(rewrite,[status(thm)],[])).
% 82.65/52.26 tff(7523,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 82.65/52.26 inference(quant_inst,[status(thm)],[])).
% 82.65/52.26 tff(7524,plain,
% 82.65/52.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 82.65/52.26 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 82.65/52.26 tff(7525,plain,
% 82.65/52.26 (v101(constB45) | (~v100(constB45))),
% 82.65/52.26 inference(unit_resolution,[status(thm)],[7524, 83, 7514])).
% 82.65/52.26 tff(7526,plain,
% 82.65/52.26 (~v100(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7525, 7521])).
% 82.65/52.27 tff(7527,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7528,plain,
% 82.65/52.27 (((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)) <=> ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7529,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7528])).
% 82.65/52.27 tff(7530,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7529, 7527])).
% 82.65/52.27 tff(7531,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7532,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 82.65/52.27 tff(7533,plain,
% 82.65/52.27 ((~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7532, 1374, 7514])).
% 82.65/52.27 tff(7534,plain,
% 82.65/52.27 ((~v90(constB44, 2)) | v90(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7533, 7526])).
% 82.65/52.27 tff(7535,plain,
% 82.65/52.27 (v90(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7534, 7508])).
% 82.65/52.27 tff(7536,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7537,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7538,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 82.65/52.27 tff(7539,plain,
% 82.65/52.27 (~v130(constB43, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7538, 1390, 7391])).
% 82.65/52.27 tff(7540,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7541,plain,
% 82.65/52.27 ((v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1))) <=> ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7542,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7541])).
% 82.65/52.27 tff(7543,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7542, 7540])).
% 82.65/52.27 tff(7544,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7545,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 82.65/52.27 tff(7546,plain,
% 82.65/52.27 ((~v127(constB43, 1)) | v130(constB43, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7545, 383, 7490])).
% 82.65/52.27 tff(7547,plain,
% 82.65/52.27 (~v127(constB43, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7546, 7539])).
% 82.65/52.27 tff(7548,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7549,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7550,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 82.65/52.27 tff(7551,plain,
% 82.65/52.27 (v127(constB43, 1) | (~v129(constB44, 1))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7550, 401, 7448])).
% 82.65/52.27 tff(7552,plain,
% 82.65/52.27 (~v129(constB44, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7551, 7547])).
% 82.65/52.27 tff(7553,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7554,plain,
% 82.65/52.27 (((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1)) <=> ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7555,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7554])).
% 82.65/52.27 tff(7556,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7555, 7553])).
% 82.65/52.27 tff(7557,plain,
% 82.65/52.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7558,plain,
% 82.65/52.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 82.65/52.27 tff(7559,plain,
% 82.65/52.27 ((~v90(constB44, 1)) | (~v100(constB44))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7558, 416, 7552])).
% 82.65/52.27 tff(7560,plain,
% 82.65/52.27 (~v90(constB44, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7559, 7482])).
% 82.65/52.27 tff(7561,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7562,plain,
% 82.65/52.27 (((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))) <=> (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7563,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7562])).
% 82.65/52.27 tff(7564,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7563, 7561])).
% 82.65/52.27 tff(7565,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7566,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 82.65/52.27 tff(7567,plain,
% 82.65/52.27 (v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7566, 119, 7514])).
% 82.65/52.27 tff(7568,plain,
% 82.65/52.27 (v90(constB44, 1) | (~v90(constB45, 1))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7567, 7526])).
% 82.65/52.27 tff(7569,plain,
% 82.65/52.27 (~v90(constB45, 1)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7568, 7560])).
% 82.65/52.27 tff(7570,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7571,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7572,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 82.65/52.27 tff(7573,plain,
% 82.65/52.27 (~v130(constB43, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7572, 1431, 7391])).
% 82.65/52.27 tff(7574,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7575,plain,
% 82.65/52.27 ((v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0))) <=> ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7576,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7575])).
% 82.65/52.27 tff(7577,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7576, 7574])).
% 82.65/52.27 tff(7578,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7579,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7578, 7577])).
% 82.65/52.27 tff(7580,plain,
% 82.65/52.27 ((~v127(constB43, 0)) | v130(constB43, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7579, 896, 7490])).
% 82.65/52.27 tff(7581,plain,
% 82.65/52.27 (~v127(constB43, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7580, 7573])).
% 82.65/52.27 tff(7582,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7583,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7584,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 82.65/52.27 tff(7585,plain,
% 82.65/52.27 (v127(constB43, 0) | (~v129(constB44, 0))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7584, 914, 7448])).
% 82.65/52.27 tff(7586,plain,
% 82.65/52.27 (~v129(constB44, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7585, 7581])).
% 82.65/52.27 tff(7587,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7588,plain,
% 82.65/52.27 (((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0)) <=> ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7589,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7588])).
% 82.65/52.27 tff(7590,plain,
% 82.65/52.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7589, 7587])).
% 82.65/52.27 tff(7591,plain,
% 82.65/52.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7592,plain,
% 82.65/52.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 82.65/52.27 tff(7593,plain,
% 82.65/52.27 ((~v90(constB44, 0)) | (~v100(constB44))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7592, 929, 7586])).
% 82.65/52.27 tff(7594,plain,
% 82.65/52.27 (~v90(constB44, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7593, 7482])).
% 82.65/52.27 tff(7595,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7596,plain,
% 82.65/52.27 (((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))) <=> (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7597,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7596])).
% 82.65/52.27 tff(7598,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7597, 7595])).
% 82.65/52.27 tff(7599,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7600,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 82.65/52.27 tff(7601,plain,
% 82.65/52.27 (v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7600, 140, 7514])).
% 82.65/52.27 tff(7602,plain,
% 82.65/52.27 (v90(constB44, 0) | (~v90(constB45, 0))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7601, 7526])).
% 82.65/52.27 tff(7603,plain,
% 82.65/52.27 (~v90(constB45, 0)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7602, 7594])).
% 82.65/52.27 tff(7604,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7605,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7606,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 82.65/52.27 tff(7607,plain,
% 82.65/52.27 (v123(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7606, 1475, 7603, 7569, 7535])).
% 82.65/52.27 tff(7608,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7609,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7610,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 82.65/52.27 tff(7611,plain,
% 82.65/52.27 (v115(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7610, 1486, 7607])).
% 82.65/52.27 tff(7612,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB45)) | v114(constB45))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7613,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7614,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB45)) | v114(constB45)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 82.65/52.27 tff(7615,plain,
% 82.65/52.27 (v114(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7614, 228, 7611])).
% 82.65/52.27 tff(7616,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7617,plain,
% 82.65/52.27 (((~v114(constB45)) | v113(constB45)) <=> (v113(constB45) | (~v114(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7618,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7617])).
% 82.65/52.27 tff(7619,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7618, 7616])).
% 82.65/52.27 tff(7620,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7621,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 82.65/52.27 tff(7622,plain,
% 82.65/52.27 (v113(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7621, 242, 7615])).
% 82.65/52.27 tff(7623,assumption,(v26(constB45)), introduced(assumption)).
% 82.65/52.27 tff(7624,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7625,plain,
% 82.65/52.27 ($false),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7624, 19, 7623])).
% 82.65/52.27 tff(7626,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 82.65/52.27 tff(7627,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7628,plain,
% 82.65/52.27 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7629,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | v112(constB45) | (~v113(constB45))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7628])).
% 82.65/52.27 tff(7630,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7629, 7627])).
% 82.65/52.27 tff(7631,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7632,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 82.65/52.27 tff(7633,plain,
% 82.65/52.27 (v112(constB45) | (~v113(constB45))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7632, 256, 7626])).
% 82.65/52.27 tff(7634,plain,
% 82.65/52.27 (v112(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7633, 7622])).
% 82.65/52.27 tff(7635,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7636,plain,
% 82.65/52.27 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7637,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7636])).
% 82.65/52.27 tff(7638,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7637, 7635])).
% 82.65/52.27 tff(7639,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7640,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 82.65/52.27 tff(7641,plain,
% 82.65/52.27 (v108(constB45)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7640, 268, 7634])).
% 82.65/52.27 tff(7642,plain,
% 82.65/52.27 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7643,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 82.65/52.27 tff(7644,plain,
% 82.65/52.27 (nextState(constB45, constB46)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 82.65/52.27 tff(7645,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7646,plain,
% 82.65/52.27 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7647,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7646])).
% 82.65/52.27 tff(7648,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7647, 7645])).
% 82.65/52.27 tff(7649,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7650,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 82.65/52.27 tff(7651,plain,
% 82.65/52.27 (v110(constB46) | (~v108(constB45))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7650, 288, 7644])).
% 82.65/52.27 tff(7652,plain,
% 82.65/52.27 (v110(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7651, 7641])).
% 82.65/52.27 tff(7653,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7654,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7655,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 82.65/52.27 tff(7656,plain,
% 82.65/52.27 (~v104(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7655, 306, 7644, 7511])).
% 82.65/52.27 tff(7657,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7658,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7659,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 82.65/52.27 tff(7660,plain,
% 82.65/52.27 (v102(constB46) | v104(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7659, 320, 7644])).
% 82.65/52.27 tff(7661,plain,
% 82.65/52.27 (v102(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7660, 7656])).
% 82.65/52.27 tff(7662,plain,
% 82.65/52.27 (v1(constB46) <=> v1(constB46)),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7663,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 82.65/52.27 tff(7664,plain,
% 82.65/52.27 (v1(constB46)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7663, 7662])).
% 82.65/52.27 tff(7665,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7666,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7667,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 82.65/52.27 tff(7668,plain,
% 82.65/52.27 (v101(constB46) | (~v102(constB46))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7667, 338, 7644, 7664])).
% 82.65/52.27 tff(7669,plain,
% 82.65/52.27 (v101(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7668, 7661])).
% 82.65/52.27 tff(7670,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7671,plain,
% 82.65/52.27 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7672,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7671])).
% 82.65/52.27 tff(7673,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7672, 7670])).
% 82.65/52.27 tff(7674,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7675,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 82.65/52.27 tff(7676,plain,
% 82.65/52.27 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7675, 353, 7644])).
% 82.65/52.27 tff(7677,plain,
% 82.65/52.27 (v100(constB46) | (~v110(constB46))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7676, 7669])).
% 82.65/52.27 tff(7678,plain,
% 82.65/52.27 (v100(constB46)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7677, 7652])).
% 82.65/52.27 tff(7679,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7680,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7681,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7680, 7679])).
% 82.65/52.27 tff(7682,plain,
% 82.65/52.27 (v130(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7681, 1567, 7607])).
% 82.65/52.27 tff(7683,plain,
% 82.65/52.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7684,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7685,plain,
% 82.65/52.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 82.65/52.27 tff(7686,plain,
% 82.65/52.27 ((~v130(constB45, 2)) | v127(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7685, 1212, 7626])).
% 82.65/52.27 tff(7687,plain,
% 82.65/52.27 (v127(constB45, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7686, 7682])).
% 82.65/52.27 tff(7688,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7689,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7690,plain,
% 82.65/52.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 82.65/52.27 tff(7691,plain,
% 82.65/52.27 ((~v127(constB45, 2)) | v129(constB46, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7690, 1230, 7644])).
% 82.65/52.27 tff(7692,plain,
% 82.65/52.27 (v129(constB46, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7691, 7687])).
% 82.65/52.27 tff(7693,plain,
% 82.65/52.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7694,plain,
% 82.65/52.27 ((v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2))) <=> (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7695,plain,
% 82.65/52.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))))),
% 82.65/52.27 inference(monotonicity,[status(thm)],[7694])).
% 82.65/52.27 tff(7696,plain,
% 82.65/52.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 82.65/52.27 inference(transitivity,[status(thm)],[7695, 7693])).
% 82.65/52.27 tff(7697,plain,
% 82.65/52.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))),
% 82.65/52.27 inference(quant_inst,[status(thm)],[])).
% 82.65/52.27 tff(7698,plain,
% 82.65/52.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 82.65/52.27 tff(7699,plain,
% 82.65/52.27 (v90(constB46, 2) | (~v100(constB46))),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7698, 1338, 7692])).
% 82.65/52.27 tff(7700,plain,
% 82.65/52.27 (v90(constB46, 2)),
% 82.65/52.27 inference(unit_resolution,[status(thm)],[7699, 7678])).
% 82.65/52.27 tff(7701,plain,
% 82.65/52.27 ((~v1(constB47)) <=> (~v1(constB47))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7702,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 82.65/52.27 tff(7703,plain,
% 82.65/52.27 (~v1(constB47)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 82.65/52.27 tff(7704,plain,
% 82.65/52.27 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7705,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 82.65/52.27 tff(7706,plain,
% 82.65/52.27 (nextState(constB46, constB47)),
% 82.65/52.27 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 82.65/52.27 tff(7707,plain,
% 82.65/52.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 82.65/52.27 inference(rewrite,[status(thm)],[])).
% 82.65/52.27 tff(7708,plain,
% 82.65/52.27 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7709,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 82.65/52.28 inference(monotonicity,[status(thm)],[7708])).
% 82.65/52.28 tff(7710,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 82.65/52.28 inference(transitivity,[status(thm)],[7709, 7707])).
% 82.65/52.28 tff(7711,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 82.65/52.28 inference(quant_inst,[status(thm)],[])).
% 82.65/52.28 tff(7712,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 82.65/52.28 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 82.65/52.28 tff(7713,plain,
% 82.65/52.28 (~v101(constB47)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7712, 66, 7706, 7703])).
% 82.65/52.28 tff(7714,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7715,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 82.65/52.28 inference(quant_inst,[status(thm)],[])).
% 82.65/52.28 tff(7716,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 82.65/52.28 inference(modus_ponens,[status(thm)],[7715, 7714])).
% 82.65/52.28 tff(7717,plain,
% 82.65/52.28 (v101(constB47) | (~v100(constB47))),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7716, 83, 7706])).
% 82.65/52.28 tff(7718,plain,
% 82.65/52.28 (~v100(constB47)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7717, 7713])).
% 82.65/52.28 tff(7719,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7720,plain,
% 82.65/52.28 (((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)) <=> ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7721,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)))),
% 82.65/52.28 inference(monotonicity,[status(thm)],[7720])).
% 82.65/52.28 tff(7722,plain,
% 82.65/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 82.65/52.28 inference(transitivity,[status(thm)],[7721, 7719])).
% 82.65/52.28 tff(7723,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))),
% 82.65/52.28 inference(quant_inst,[status(thm)],[])).
% 82.65/52.28 tff(7724,plain,
% 82.65/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)),
% 82.65/52.28 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 82.65/52.28 tff(7725,plain,
% 82.65/52.28 ((~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7724, 1374, 7706])).
% 82.65/52.28 tff(7726,plain,
% 82.65/52.28 ((~v90(constB46, 2)) | v90(constB47, 2)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7725, 7718])).
% 82.65/52.28 tff(7727,plain,
% 82.65/52.28 (v90(constB47, 2)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7726, 7700])).
% 82.65/52.28 tff(7728,plain,
% 82.65/52.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1)))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7729,plain,
% 82.65/52.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))),
% 82.65/52.28 inference(quant_inst,[status(thm)],[])).
% 82.65/52.28 tff(7730,plain,
% 82.65/52.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1))),
% 82.65/52.28 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 82.65/52.28 tff(7731,plain,
% 82.65/52.28 (~v130(constB45, 1)),
% 82.65/52.28 inference(unit_resolution,[status(thm)],[7730, 1623, 7607])).
% 82.65/52.28 tff(7732,plain,
% 82.65/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7733,plain,
% 82.65/52.28 ((v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1))) <=> ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 82.65/52.28 inference(rewrite,[status(thm)],[])).
% 82.65/52.28 tff(7734,plain,
% 82.65/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)))),
% 82.65/52.28 inference(monotonicity,[status(thm)],[7733])).
% 82.65/52.28 tff(7735,plain,
% 82.65/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 82.65/52.28 inference(transitivity,[status(thm)],[7734, 7732])).
% 82.65/52.28 tff(7736,plain,
% 82.65/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))),
% 82.65/52.28 inference(quant_inst,[status(thm)],[])).
% 82.65/52.28 tff(7737,plain,
% 82.65/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)),
% 82.65/52.28 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 82.71/52.28 tff(7738,plain,
% 82.71/52.28 ((~v127(constB45, 1)) | v130(constB45, 1)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7737, 383, 7626])).
% 82.71/52.28 tff(7739,plain,
% 82.71/52.28 (~v127(constB45, 1)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7738, 7731])).
% 82.71/52.28 tff(7740,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7741,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7742,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 82.71/52.28 tff(7743,plain,
% 82.71/52.28 (v127(constB45, 1) | (~v129(constB46, 1))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7742, 401, 7644])).
% 82.71/52.28 tff(7744,plain,
% 82.71/52.28 (~v129(constB46, 1)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7743, 7739])).
% 82.71/52.28 tff(7745,plain,
% 82.71/52.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7746,plain,
% 82.71/52.28 (((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1)) <=> ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7747,plain,
% 82.71/52.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7746])).
% 82.71/52.28 tff(7748,plain,
% 82.71/52.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7747, 7745])).
% 82.71/52.28 tff(7749,plain,
% 82.71/52.28 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7750,plain,
% 82.71/52.28 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 82.71/52.28 tff(7751,plain,
% 82.71/52.28 ((~v90(constB46, 1)) | (~v100(constB46))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7750, 416, 7744])).
% 82.71/52.28 tff(7752,plain,
% 82.71/52.28 (~v90(constB46, 1)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7751, 7678])).
% 82.71/52.28 tff(7753,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7754,plain,
% 82.71/52.28 (((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))) <=> (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7755,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7754])).
% 82.71/52.28 tff(7756,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7755, 7753])).
% 82.71/52.28 tff(7757,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7758,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 82.71/52.28 tff(7759,plain,
% 82.71/52.28 (v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7758, 119, 7706])).
% 82.71/52.28 tff(7760,plain,
% 82.71/52.28 (v90(constB46, 1) | (~v90(constB47, 1))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7759, 7718])).
% 82.71/52.28 tff(7761,plain,
% 82.71/52.28 (~v90(constB47, 1)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7760, 7752])).
% 82.71/52.28 tff(7762,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7763,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7764,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 82.71/52.28 tff(7765,plain,
% 82.71/52.28 (v130(constB45, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7764, 1664, 7607])).
% 82.71/52.28 tff(7766,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7767,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7768,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 82.71/52.28 tff(7769,plain,
% 82.71/52.28 ((~v130(constB45, 0)) | v127(constB45, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7768, 478, 7626])).
% 82.71/52.28 tff(7770,plain,
% 82.71/52.28 (v127(constB45, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7769, 7765])).
% 82.71/52.28 tff(7771,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7772,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7773,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 82.71/52.28 tff(7774,plain,
% 82.71/52.28 ((~v127(constB45, 0)) | v129(constB46, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7773, 493, 7644])).
% 82.71/52.28 tff(7775,plain,
% 82.71/52.28 (v129(constB46, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7774, 7770])).
% 82.71/52.28 tff(7776,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7777,plain,
% 82.71/52.28 ((v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0))) <=> (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7778,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7777])).
% 82.71/52.28 tff(7779,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7778, 7776])).
% 82.71/52.28 tff(7780,plain,
% 82.71/52.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7781,plain,
% 82.71/52.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 82.71/52.28 tff(7782,plain,
% 82.71/52.28 (v90(constB46, 0) | (~v100(constB46))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7781, 508, 7775])).
% 82.71/52.28 tff(7783,plain,
% 82.71/52.28 (v90(constB46, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7782, 7678])).
% 82.71/52.28 tff(7784,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7785,plain,
% 82.71/52.28 (((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)) <=> ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7786,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7785])).
% 82.71/52.28 tff(7787,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7786, 7784])).
% 82.71/52.28 tff(7788,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7789,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 82.71/52.28 tff(7790,plain,
% 82.71/52.28 ((~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7789, 526, 7706])).
% 82.71/52.28 tff(7791,plain,
% 82.71/52.28 ((~v90(constB46, 0)) | v90(constB47, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7790, 7718])).
% 82.71/52.28 tff(7792,plain,
% 82.71/52.28 (v90(constB47, 0)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7791, 7783])).
% 82.71/52.28 tff(7793,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7794,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7795,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 82.71/52.28 tff(7796,plain,
% 82.71/52.28 (v124(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7795, 1705, 7792, 7761, 7727])).
% 82.71/52.28 tff(7797,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB47)) | v114(constB47))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7798,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7799,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB47)) | v114(constB47)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 82.71/52.28 tff(7800,plain,
% 82.71/52.28 (v114(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7799, 1741, 7796])).
% 82.71/52.28 tff(7801,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7802,plain,
% 82.71/52.28 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7803,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7802])).
% 82.71/52.28 tff(7804,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7803, 7801])).
% 82.71/52.28 tff(7805,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7806,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 82.71/52.28 tff(7807,plain,
% 82.71/52.28 (v113(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7806, 242, 7800])).
% 82.71/52.28 tff(7808,assumption,(v26(constB47)), introduced(assumption)).
% 82.71/52.28 tff(7809,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7810,plain,
% 82.71/52.28 ($false),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7809, 19, 7808])).
% 82.71/52.28 tff(7811,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.28 tff(7812,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7813,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7814,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | (~v113(constB47)) | v112(constB47)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7813, 7812])).
% 82.71/52.28 tff(7815,plain,
% 82.71/52.28 ((~v113(constB47)) | v112(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7814, 256, 7811])).
% 82.71/52.28 tff(7816,plain,
% 82.71/52.28 (v112(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7815, 7807])).
% 82.71/52.28 tff(7817,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7818,plain,
% 82.71/52.28 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7819,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7818])).
% 82.71/52.28 tff(7820,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7819, 7817])).
% 82.71/52.28 tff(7821,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7822,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 82.71/52.28 tff(7823,plain,
% 82.71/52.28 (v108(constB47)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7822, 268, 7816])).
% 82.71/52.28 tff(7824,plain,
% 82.71/52.28 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7825,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 82.71/52.28 tff(7826,plain,
% 82.71/52.28 (nextState(constB47, constB48)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 82.71/52.28 tff(7827,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7828,plain,
% 82.71/52.28 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7829,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7828])).
% 82.71/52.28 tff(7830,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7829, 7827])).
% 82.71/52.28 tff(7831,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7832,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 82.71/52.28 tff(7833,plain,
% 82.71/52.28 (v110(constB48) | (~v108(constB47))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7832, 288, 7826])).
% 82.71/52.28 tff(7834,plain,
% 82.71/52.28 (v110(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7833, 7823])).
% 82.71/52.28 tff(7835,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7836,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7837,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 82.71/52.28 tff(7838,plain,
% 82.71/52.28 (~v104(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7837, 306, 7826, 7703])).
% 82.71/52.28 tff(7839,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7840,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7841,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 82.71/52.28 tff(7842,plain,
% 82.71/52.28 (v102(constB48) | v104(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7841, 320, 7826])).
% 82.71/52.28 tff(7843,plain,
% 82.71/52.28 (v102(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7842, 7838])).
% 82.71/52.28 tff(7844,plain,
% 82.71/52.28 (v1(constB48) <=> v1(constB48)),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7845,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 82.71/52.28 tff(7846,plain,
% 82.71/52.28 (v1(constB48)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7845, 7844])).
% 82.71/52.28 tff(7847,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7848,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7849,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 82.71/52.28 tff(7850,plain,
% 82.71/52.28 (v101(constB48) | (~v102(constB48))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7849, 338, 7826, 7846])).
% 82.71/52.28 tff(7851,plain,
% 82.71/52.28 (v101(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7850, 7843])).
% 82.71/52.28 tff(7852,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7853,plain,
% 82.71/52.28 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7854,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7853])).
% 82.71/52.28 tff(7855,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7854, 7852])).
% 82.71/52.28 tff(7856,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7857,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 82.71/52.28 tff(7858,plain,
% 82.71/52.28 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7857, 353, 7826])).
% 82.71/52.28 tff(7859,plain,
% 82.71/52.28 (v100(constB48) | (~v110(constB48))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7858, 7851])).
% 82.71/52.28 tff(7860,plain,
% 82.71/52.28 (v100(constB48)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7859, 7834])).
% 82.71/52.28 tff(7861,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7862,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7863,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 82.71/52.28 tff(7864,plain,
% 82.71/52.28 (v130(constB47, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7863, 1716, 7796])).
% 82.71/52.28 tff(7865,plain,
% 82.71/52.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7866,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7867,plain,
% 82.71/52.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 82.71/52.28 tff(7868,plain,
% 82.71/52.28 ((~v130(constB47, 2)) | v127(constB47, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7867, 1212, 7811])).
% 82.71/52.28 tff(7869,plain,
% 82.71/52.28 (v127(constB47, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7868, 7864])).
% 82.71/52.28 tff(7870,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7871,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7872,plain,
% 82.71/52.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 82.71/52.28 tff(7873,plain,
% 82.71/52.28 ((~v127(constB47, 2)) | v129(constB48, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7872, 1230, 7826])).
% 82.71/52.28 tff(7874,plain,
% 82.71/52.28 (v129(constB48, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7873, 7869])).
% 82.71/52.28 tff(7875,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7876,plain,
% 82.71/52.28 ((v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2))) <=> (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7877,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7876])).
% 82.71/52.28 tff(7878,plain,
% 82.71/52.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 82.71/52.28 inference(transitivity,[status(thm)],[7877, 7875])).
% 82.71/52.28 tff(7879,plain,
% 82.71/52.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))),
% 82.71/52.28 inference(quant_inst,[status(thm)],[])).
% 82.71/52.28 tff(7880,plain,
% 82.71/52.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 82.71/52.28 tff(7881,plain,
% 82.71/52.28 (v90(constB48, 2) | (~v100(constB48))),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7880, 1338, 7874])).
% 82.71/52.28 tff(7882,plain,
% 82.71/52.28 (v90(constB48, 2)),
% 82.71/52.28 inference(unit_resolution,[status(thm)],[7881, 7860])).
% 82.71/52.28 tff(7883,plain,
% 82.71/52.28 ((~v1(constB49)) <=> (~v1(constB49))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7884,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 82.71/52.28 tff(7885,plain,
% 82.71/52.28 (~v1(constB49)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7884, 7883])).
% 82.71/52.28 tff(7886,plain,
% 82.71/52.28 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7887,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 82.71/52.28 tff(7888,plain,
% 82.71/52.28 (nextState(constB48, constB49)),
% 82.71/52.28 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 82.71/52.28 tff(7889,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7890,plain,
% 82.71/52.28 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 82.71/52.28 inference(rewrite,[status(thm)],[])).
% 82.71/52.28 tff(7891,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 82.71/52.28 inference(monotonicity,[status(thm)],[7890])).
% 82.71/52.28 tff(7892,plain,
% 82.71/52.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7891, 7889])).
% 82.71/52.29 tff(7893,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7894,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7893, 7892])).
% 82.71/52.29 tff(7895,plain,
% 82.71/52.29 (~v101(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7894, 66, 7888, 7885])).
% 82.71/52.29 tff(7896,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7897,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7898,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 82.71/52.29 tff(7899,plain,
% 82.71/52.29 (v101(constB49) | (~v100(constB49))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7898, 83, 7888])).
% 82.71/52.29 tff(7900,plain,
% 82.71/52.29 (~v100(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7899, 7895])).
% 82.71/52.29 tff(7901,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7902,plain,
% 82.71/52.29 (((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)) <=> ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7903,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7902])).
% 82.71/52.29 tff(7904,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7903, 7901])).
% 82.71/52.29 tff(7905,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7906,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 82.71/52.29 tff(7907,plain,
% 82.71/52.29 ((~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7906, 1374, 7888])).
% 82.71/52.29 tff(7908,plain,
% 82.71/52.29 ((~v90(constB48, 2)) | v90(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7907, 7900])).
% 82.71/52.29 tff(7909,plain,
% 82.71/52.29 (v90(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7908, 7882])).
% 82.71/52.29 tff(7910,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7911,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7912,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 82.71/52.29 tff(7913,plain,
% 82.71/52.29 (v130(constB47, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7912, 1767, 7796])).
% 82.71/52.29 tff(7914,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7915,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7916,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 82.71/52.29 tff(7917,plain,
% 82.71/52.29 ((~v130(constB47, 1)) | v127(constB47, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7916, 818, 7811])).
% 82.71/52.29 tff(7918,plain,
% 82.71/52.29 (v127(constB47, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7917, 7913])).
% 82.71/52.29 tff(7919,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7920,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7921,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7920, 7919])).
% 82.71/52.29 tff(7922,plain,
% 82.71/52.29 ((~v127(constB47, 1)) | v129(constB48, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7921, 833, 7826])).
% 82.71/52.29 tff(7923,plain,
% 82.71/52.29 (v129(constB48, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7922, 7918])).
% 82.71/52.29 tff(7924,plain,
% 82.71/52.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7925,plain,
% 82.71/52.29 ((v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1))) <=> (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7926,plain,
% 82.71/52.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7925])).
% 82.71/52.29 tff(7927,plain,
% 82.71/52.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7926, 7924])).
% 82.71/52.29 tff(7928,plain,
% 82.71/52.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7929,plain,
% 82.71/52.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 82.71/52.29 tff(7930,plain,
% 82.71/52.29 (v90(constB48, 1) | (~v100(constB48))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7929, 848, 7923])).
% 82.71/52.29 tff(7931,plain,
% 82.71/52.29 (v90(constB48, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7930, 7860])).
% 82.71/52.29 tff(7932,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7933,plain,
% 82.71/52.29 (((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)) <=> ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7934,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7933])).
% 82.71/52.29 tff(7935,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7934, 7932])).
% 82.71/52.29 tff(7936,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7937,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 82.71/52.29 tff(7938,plain,
% 82.71/52.29 ((~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7937, 866, 7888])).
% 82.71/52.29 tff(7939,plain,
% 82.71/52.29 ((~v90(constB48, 1)) | v90(constB49, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7938, 7900])).
% 82.71/52.29 tff(7940,plain,
% 82.71/52.29 (v90(constB49, 1)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7939, 7931])).
% 82.71/52.29 tff(7941,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7942,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7943,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 82.71/52.29 tff(7944,plain,
% 82.71/52.29 (~v130(constB47, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7943, 1882, 7796])).
% 82.71/52.29 tff(7945,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7946,plain,
% 82.71/52.29 ((v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0))) <=> ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7947,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7946])).
% 82.71/52.29 tff(7948,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7947, 7945])).
% 82.71/52.29 tff(7949,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7950,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 82.71/52.29 tff(7951,plain,
% 82.71/52.29 ((~v127(constB47, 0)) | v130(constB47, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7950, 896, 7811])).
% 82.71/52.29 tff(7952,plain,
% 82.71/52.29 (~v127(constB47, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7951, 7944])).
% 82.71/52.29 tff(7953,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7954,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7955,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 82.71/52.29 tff(7956,plain,
% 82.71/52.29 (v127(constB47, 0) | (~v129(constB48, 0))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7955, 914, 7826])).
% 82.71/52.29 tff(7957,plain,
% 82.71/52.29 (~v129(constB48, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7956, 7952])).
% 82.71/52.29 tff(7958,plain,
% 82.71/52.29 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7959,plain,
% 82.71/52.29 (((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0)) <=> ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7960,plain,
% 82.71/52.29 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7959])).
% 82.71/52.29 tff(7961,plain,
% 82.71/52.29 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7960, 7958])).
% 82.71/52.29 tff(7962,plain,
% 82.71/52.29 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7963,plain,
% 82.71/52.29 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 82.71/52.29 tff(7964,plain,
% 82.71/52.29 ((~v90(constB48, 0)) | (~v100(constB48))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7963, 929, 7957])).
% 82.71/52.29 tff(7965,plain,
% 82.71/52.29 (~v90(constB48, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7964, 7860])).
% 82.71/52.29 tff(7966,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7967,plain,
% 82.71/52.29 (((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))) <=> (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7968,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7967])).
% 82.71/52.29 tff(7969,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7968, 7966])).
% 82.71/52.29 tff(7970,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7971,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 82.71/52.29 tff(7972,plain,
% 82.71/52.29 (v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7971, 140, 7888])).
% 82.71/52.29 tff(7973,plain,
% 82.71/52.29 (v90(constB48, 0) | (~v90(constB49, 0))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7972, 7900])).
% 82.71/52.29 tff(7974,plain,
% 82.71/52.29 (~v90(constB49, 0)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7973, 7965])).
% 82.71/52.29 tff(7975,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7976,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7977,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 82.71/52.29 tff(7978,plain,
% 82.71/52.29 (v125(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7977, 1934, 7974, 7940, 7909])).
% 82.71/52.29 tff(7979,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7980,plain,
% 82.71/52.29 (((~v125(constB49)) | v113(constB49)) <=> (v113(constB49) | (~v125(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7981,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB49) | (~v125(constB49))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7980])).
% 82.71/52.29 tff(7982,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7981, 7979])).
% 82.71/52.29 tff(7983,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7984,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB49) | (~v125(constB49))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 82.71/52.29 tff(7985,plain,
% 82.71/52.29 (v113(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7984, 1946, 7978])).
% 82.71/52.29 tff(7986,assumption,(v26(constB49)), introduced(assumption)).
% 82.71/52.29 tff(7987,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7988,plain,
% 82.71/52.29 ($false),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7987, 19, 7986])).
% 82.71/52.29 tff(7989,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.29 tff(7990,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7991,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(7992,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | (~v113(constB49)) | v112(constB49)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 82.71/52.29 tff(7993,plain,
% 82.71/52.29 ((~v113(constB49)) | v112(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7992, 256, 7989])).
% 82.71/52.29 tff(7994,plain,
% 82.71/52.29 (v112(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[7993, 7985])).
% 82.71/52.29 tff(7995,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7996,plain,
% 82.71/52.29 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(7997,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[7996])).
% 82.71/52.29 tff(7998,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[7997, 7995])).
% 82.71/52.29 tff(7999,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8000,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 82.71/52.29 tff(8001,plain,
% 82.71/52.29 (v108(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8000, 268, 7994])).
% 82.71/52.29 tff(8002,plain,
% 82.71/52.29 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8003,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 82.71/52.29 tff(8004,plain,
% 82.71/52.29 (nextState(constB49, constB50)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 82.71/52.29 tff(8005,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8006,plain,
% 82.71/52.29 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8007,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[8006])).
% 82.71/52.29 tff(8008,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[8007, 8005])).
% 82.71/52.29 tff(8009,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8010,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 82.71/52.29 tff(8011,plain,
% 82.71/52.29 (v110(constB50) | (~v108(constB49))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8010, 288, 8004])).
% 82.71/52.29 tff(8012,plain,
% 82.71/52.29 (v110(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8011, 8001])).
% 82.71/52.29 tff(8013,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8014,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8015,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 82.71/52.29 tff(8016,plain,
% 82.71/52.29 (~v104(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8015, 306, 8004, 7885])).
% 82.71/52.29 tff(8017,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8018,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8019,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 82.71/52.29 tff(8020,plain,
% 82.71/52.29 (v102(constB50) | v104(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8019, 320, 8004])).
% 82.71/52.29 tff(8021,plain,
% 82.71/52.29 (v102(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8020, 8016])).
% 82.71/52.29 tff(8022,plain,
% 82.71/52.29 (v1(constB50) <=> v1(constB50)),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8023,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 82.71/52.29 tff(8024,plain,
% 82.71/52.29 (v1(constB50)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8023, 8022])).
% 82.71/52.29 tff(8025,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8026,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8027,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 82.71/52.29 tff(8028,plain,
% 82.71/52.29 (v101(constB50) | (~v102(constB50))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8027, 338, 8004, 8024])).
% 82.71/52.29 tff(8029,plain,
% 82.71/52.29 (v101(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8028, 8021])).
% 82.71/52.29 tff(8030,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8031,plain,
% 82.71/52.29 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8032,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[8031])).
% 82.71/52.29 tff(8033,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 82.71/52.29 inference(transitivity,[status(thm)],[8032, 8030])).
% 82.71/52.29 tff(8034,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8035,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 82.71/52.29 tff(8036,plain,
% 82.71/52.29 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8035, 353, 8004])).
% 82.71/52.29 tff(8037,plain,
% 82.71/52.29 (v100(constB50) | (~v110(constB50))),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8036, 8029])).
% 82.71/52.29 tff(8038,plain,
% 82.71/52.29 (v100(constB50)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8037, 8012])).
% 82.71/52.29 tff(8039,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8040,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8041,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8040, 8039])).
% 82.71/52.29 tff(8042,plain,
% 82.71/52.29 (~v121(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8041, 2017, 7909])).
% 82.71/52.29 tff(8043,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8044,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8045,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 82.71/52.29 tff(8046,plain,
% 82.71/52.29 (~v122(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8045, 2006, 7909])).
% 82.71/52.29 tff(8047,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8048,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8049,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8048, 8047])).
% 82.71/52.29 tff(8050,plain,
% 82.71/52.29 (~v119(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8049, 2028, 7940])).
% 82.71/52.29 tff(8051,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8052,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8053,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 82.71/52.29 tff(8054,plain,
% 82.71/52.29 (~v120(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8053, 2039, 7940])).
% 82.71/52.29 tff(8055,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8056,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8057,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 82.71/52.29 tff(8058,plain,
% 82.71/52.29 (~v123(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8057, 2050, 7940])).
% 82.71/52.29 tff(8059,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8060,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8061,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8060, 8059])).
% 82.71/52.29 tff(8062,plain,
% 82.71/52.29 (~v124(constB49)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8061, 2061, 7940])).
% 82.71/52.29 tff(8063,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8064,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8065,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2))),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8064, 8063])).
% 82.71/52.29 tff(8066,plain,
% 82.71/52.29 (~v130(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8065, 2075, 8062, 8058, 8054, 8050, 8046, 8042])).
% 82.71/52.29 tff(8067,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8068,plain,
% 82.71/52.29 ((v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2))) <=> ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8069,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)))),
% 82.71/52.29 inference(monotonicity,[status(thm)],[8068])).
% 82.71/52.29 tff(8070,plain,
% 82.71/52.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 82.71/52.29 inference(transitivity,[status(thm)],[8069, 8067])).
% 82.71/52.29 tff(8071,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))),
% 82.71/52.29 inference(quant_inst,[status(thm)],[])).
% 82.71/52.29 tff(8072,plain,
% 82.71/52.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)),
% 82.71/52.29 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 82.71/52.29 tff(8073,plain,
% 82.71/52.29 ((~v127(constB49, 2)) | v130(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8072, 556, 7989])).
% 82.71/52.29 tff(8074,plain,
% 82.71/52.29 (~v127(constB49, 2)),
% 82.71/52.29 inference(unit_resolution,[status(thm)],[8073, 8066])).
% 82.71/52.29 tff(8075,plain,
% 82.71/52.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 82.71/52.29 inference(rewrite,[status(thm)],[])).
% 82.71/52.29 tff(8076,plain,
% 82.71/52.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8077,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8076, 8075])).
% 82.71/52.30 tff(8078,plain,
% 82.71/52.30 (v127(constB49, 2) | (~v129(constB50, 2))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8077, 574, 8004])).
% 82.71/52.30 tff(8079,plain,
% 82.71/52.30 (~v129(constB50, 2)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8078, 8074])).
% 82.71/52.30 tff(8080,plain,
% 82.71/52.30 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8081,plain,
% 82.71/52.30 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8082,plain,
% 82.71/52.30 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 82.71/52.30 tff(8083,plain,
% 82.71/52.30 ((~v90(constB50, 2)) | (~v100(constB50))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8082, 589, 8079])).
% 82.71/52.30 tff(8084,plain,
% 82.71/52.30 (~v90(constB50, 2)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8083, 8038])).
% 82.71/52.30 tff(8085,plain,
% 82.71/52.30 ((~v1(constB51)) <=> (~v1(constB51))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8086,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 82.71/52.30 tff(8087,plain,
% 82.71/52.30 (~v1(constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 82.71/52.30 tff(8088,plain,
% 82.71/52.30 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8089,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 82.71/52.30 tff(8090,plain,
% 82.71/52.30 (nextState(constB50, constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 82.71/52.30 tff(8091,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8092,plain,
% 82.71/52.30 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8093,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8092])).
% 82.71/52.30 tff(8094,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8093, 8091])).
% 82.71/52.30 tff(8095,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8096,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 82.71/52.30 tff(8097,plain,
% 82.71/52.30 (~v101(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8096, 66, 8090, 8087])).
% 82.71/52.30 tff(8098,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8099,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8100,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 82.71/52.30 tff(8101,plain,
% 82.71/52.30 (v101(constB51) | (~v100(constB51))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8100, 83, 8090])).
% 82.71/52.30 tff(8102,plain,
% 82.71/52.30 (~v100(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8101, 8097])).
% 82.71/52.30 tff(8103,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8104,plain,
% 82.71/52.30 (((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))) <=> (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8105,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8104])).
% 82.71/52.30 tff(8106,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8105, 8103])).
% 82.71/52.30 tff(8107,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8108,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 82.71/52.30 tff(8109,plain,
% 82.71/52.30 (v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8108, 98, 8090])).
% 82.71/52.30 tff(8110,plain,
% 82.71/52.30 (v90(constB50, 2) | (~v90(constB51, 2))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8109, 8102])).
% 82.71/52.30 tff(8111,plain,
% 82.71/52.30 (~v90(constB51, 2)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8110, 8084])).
% 82.71/52.30 tff(8112,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8113,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8114,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 82.71/52.30 tff(8115,plain,
% 82.71/52.30 (~v130(constB49, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8114, 2135, 8062, 8058, 8054, 8050, 8046, 8042])).
% 82.71/52.30 tff(8116,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8117,plain,
% 82.71/52.30 ((v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1))) <=> ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8118,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8117])).
% 82.71/52.30 tff(8119,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8118, 8116])).
% 82.71/52.30 tff(8120,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8121,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 82.71/52.30 tff(8122,plain,
% 82.71/52.30 ((~v127(constB49, 1)) | v130(constB49, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8121, 383, 7989])).
% 82.71/52.30 tff(8123,plain,
% 82.71/52.30 (~v127(constB49, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8122, 8115])).
% 82.71/52.30 tff(8124,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8125,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8126,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 82.71/52.30 tff(8127,plain,
% 82.71/52.30 (v127(constB49, 1) | (~v129(constB50, 1))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8126, 401, 8004])).
% 82.71/52.30 tff(8128,plain,
% 82.71/52.30 (~v129(constB50, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8127, 8123])).
% 82.71/52.30 tff(8129,plain,
% 82.71/52.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8130,plain,
% 82.71/52.30 (((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1)) <=> ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8131,plain,
% 82.71/52.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8130])).
% 82.71/52.30 tff(8132,plain,
% 82.71/52.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8131, 8129])).
% 82.71/52.30 tff(8133,plain,
% 82.71/52.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8134,plain,
% 82.71/52.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 82.71/52.30 tff(8135,plain,
% 82.71/52.30 ((~v90(constB50, 1)) | (~v100(constB50))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8134, 416, 8128])).
% 82.71/52.30 tff(8136,plain,
% 82.71/52.30 (~v90(constB50, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8135, 8038])).
% 82.71/52.30 tff(8137,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8138,plain,
% 82.71/52.30 (((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))) <=> (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8139,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8138])).
% 82.71/52.30 tff(8140,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8139, 8137])).
% 82.71/52.30 tff(8141,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8142,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8141, 8140])).
% 82.71/52.30 tff(8143,plain,
% 82.71/52.30 (v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8142, 119, 8090])).
% 82.71/52.30 tff(8144,plain,
% 82.71/52.30 (v90(constB50, 1) | (~v90(constB51, 1))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8143, 8102])).
% 82.71/52.30 tff(8145,plain,
% 82.71/52.30 (~v90(constB51, 1)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8144, 8136])).
% 82.71/52.30 tff(8146,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8147,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8148,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 82.71/52.30 tff(8149,plain,
% 82.71/52.30 (v130(constB49, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8148, 2180, 8062, 8058, 8054, 8050, 8046, 8042])).
% 82.71/52.30 tff(8150,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8151,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8152,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8151, 8150])).
% 82.71/52.30 tff(8153,plain,
% 82.71/52.30 ((~v130(constB49, 0)) | v127(constB49, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8152, 478, 7989])).
% 82.71/52.30 tff(8154,plain,
% 82.71/52.30 (v127(constB49, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8153, 8149])).
% 82.71/52.30 tff(8155,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8156,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8157,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 82.71/52.30 tff(8158,plain,
% 82.71/52.30 ((~v127(constB49, 0)) | v129(constB50, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8157, 493, 8004])).
% 82.71/52.30 tff(8159,plain,
% 82.71/52.30 (v129(constB50, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8158, 8154])).
% 82.71/52.30 tff(8160,plain,
% 82.71/52.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8161,plain,
% 82.71/52.30 ((v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0))) <=> (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8162,plain,
% 82.71/52.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8161])).
% 82.71/52.30 tff(8163,plain,
% 82.71/52.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8162, 8160])).
% 82.71/52.30 tff(8164,plain,
% 82.71/52.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8165,plain,
% 82.71/52.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8164, 8163])).
% 82.71/52.30 tff(8166,plain,
% 82.71/52.30 (v90(constB50, 0) | (~v100(constB50))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8165, 508, 8159])).
% 82.71/52.30 tff(8167,plain,
% 82.71/52.30 (v90(constB50, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8166, 8038])).
% 82.71/52.30 tff(8168,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8169,plain,
% 82.71/52.30 (((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)) <=> ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8170,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8169])).
% 82.71/52.30 tff(8171,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8170, 8168])).
% 82.71/52.30 tff(8172,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8173,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 82.71/52.30 tff(8174,plain,
% 82.71/52.30 ((~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8173, 526, 8090])).
% 82.71/52.30 tff(8175,plain,
% 82.71/52.30 ((~v90(constB50, 0)) | v90(constB51, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8174, 8102])).
% 82.71/52.30 tff(8176,plain,
% 82.71/52.30 (v90(constB51, 0)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8175, 8167])).
% 82.71/52.30 tff(8177,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8178,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8179,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8178, 8177])).
% 82.71/52.30 tff(8180,plain,
% 82.71/52.30 (v120(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8179, 614, 8176, 8145, 8111])).
% 82.71/52.30 tff(8181,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB51)) | v118(constB51))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8182,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8183,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB51)) | v118(constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 82.71/52.30 tff(8184,plain,
% 82.71/52.30 (v118(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8183, 628, 8180])).
% 82.71/52.30 tff(8185,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8186,plain,
% 82.71/52.30 (((~v118(constB51)) | v117(constB51)) <=> (v117(constB51) | (~v118(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8187,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8186])).
% 82.71/52.30 tff(8188,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8187, 8185])).
% 82.71/52.30 tff(8189,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8190,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 82.71/52.30 tff(8191,plain,
% 82.71/52.30 (v117(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8190, 186, 8184])).
% 82.71/52.30 tff(8192,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8193,plain,
% 82.71/52.30 (((~v117(constB51)) | v116(constB51)) <=> (v116(constB51) | (~v117(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8194,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB51) | (~v117(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8193])).
% 82.71/52.30 tff(8195,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8194, 8192])).
% 82.71/52.30 tff(8196,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8197,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB51) | (~v117(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 82.71/52.30 tff(8198,plain,
% 82.71/52.30 (v116(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8197, 200, 8191])).
% 82.71/52.30 tff(8199,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8200,plain,
% 82.71/52.30 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8201,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8200])).
% 82.71/52.30 tff(8202,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8201, 8199])).
% 82.71/52.30 tff(8203,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8204,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 82.71/52.30 tff(8205,plain,
% 82.71/52.30 (v115(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8204, 214, 8198])).
% 82.71/52.30 tff(8206,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8207,plain,
% 82.71/52.30 (((~v115(constB51)) | v114(constB51)) <=> (v114(constB51) | (~v115(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8208,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB51) | (~v115(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8207])).
% 82.71/52.30 tff(8209,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8208, 8206])).
% 82.71/52.30 tff(8210,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8211,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB51) | (~v115(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8210, 8209])).
% 82.71/52.30 tff(8212,plain,
% 82.71/52.30 (v114(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8211, 228, 8205])).
% 82.71/52.30 tff(8213,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB51)) | v113(constB51))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8214,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8215,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB51)) | v113(constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8214, 8213])).
% 82.71/52.30 tff(8216,plain,
% 82.71/52.30 (v113(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8215, 242, 8212])).
% 82.71/52.30 tff(8217,assumption,(v26(constB51)), introduced(assumption)).
% 82.71/52.30 tff(8218,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8219,plain,
% 82.71/52.30 ($false),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8218, 19, 8217])).
% 82.71/52.30 tff(8220,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.30 tff(8221,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8222,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8223,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8222, 8221])).
% 82.71/52.30 tff(8224,plain,
% 82.71/52.30 ((~v113(constB51)) | v112(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8223, 256, 8220])).
% 82.71/52.30 tff(8225,plain,
% 82.71/52.30 (v112(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8224, 8216])).
% 82.71/52.30 tff(8226,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8227,plain,
% 82.71/52.30 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8228,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8227])).
% 82.71/52.30 tff(8229,plain,
% 82.71/52.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8228, 8226])).
% 82.71/52.30 tff(8230,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8231,plain,
% 82.71/52.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8230, 8229])).
% 82.71/52.30 tff(8232,plain,
% 82.71/52.30 (v108(constB51)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8231, 268, 8225])).
% 82.71/52.30 tff(8233,plain,
% 82.71/52.30 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8234,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 82.71/52.30 tff(8235,plain,
% 82.71/52.30 (nextState(constB51, constB52)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 82.71/52.30 tff(8236,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8237,plain,
% 82.71/52.30 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8238,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 82.71/52.30 inference(monotonicity,[status(thm)],[8237])).
% 82.71/52.30 tff(8239,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 82.71/52.30 inference(transitivity,[status(thm)],[8238, 8236])).
% 82.71/52.30 tff(8240,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8241,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 82.71/52.30 tff(8242,plain,
% 82.71/52.30 (v110(constB52) | (~v108(constB51))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8241, 288, 8235])).
% 82.71/52.30 tff(8243,plain,
% 82.71/52.30 (v110(constB52)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8242, 8232])).
% 82.71/52.30 tff(8244,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8245,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8246,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 82.71/52.30 tff(8247,plain,
% 82.71/52.30 (~v104(constB52)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8246, 306, 8235, 8087])).
% 82.71/52.30 tff(8248,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8249,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8250,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 82.71/52.30 tff(8251,plain,
% 82.71/52.30 (v102(constB52) | v104(constB52)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8250, 320, 8235])).
% 82.71/52.30 tff(8252,plain,
% 82.71/52.30 (v102(constB52)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8251, 8247])).
% 82.71/52.30 tff(8253,plain,
% 82.71/52.30 (v1(constB52) <=> v1(constB52)),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8254,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 82.71/52.30 tff(8255,plain,
% 82.71/52.30 (v1(constB52)),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 82.71/52.30 tff(8256,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8257,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 82.71/52.30 inference(quant_inst,[status(thm)],[])).
% 82.71/52.30 tff(8258,plain,
% 82.71/52.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 82.71/52.30 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 82.71/52.30 tff(8259,plain,
% 82.71/52.30 (v101(constB52) | (~v102(constB52))),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8258, 338, 8235, 8255])).
% 82.71/52.30 tff(8260,plain,
% 82.71/52.30 (v101(constB52)),
% 82.71/52.30 inference(unit_resolution,[status(thm)],[8259, 8252])).
% 82.71/52.30 tff(8261,plain,
% 82.71/52.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 82.71/52.30 inference(rewrite,[status(thm)],[])).
% 82.71/52.30 tff(8262,plain,
% 82.71/52.31 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8263,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8262])).
% 82.71/52.31 tff(8264,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8263, 8261])).
% 82.71/52.31 tff(8265,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8266,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8265, 8264])).
% 82.71/52.31 tff(8267,plain,
% 82.71/52.31 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8266, 353, 8235])).
% 82.71/52.31 tff(8268,plain,
% 82.71/52.31 (v100(constB52) | (~v110(constB52))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8267, 8260])).
% 82.71/52.31 tff(8269,plain,
% 82.71/52.31 (v100(constB52)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8268, 8243])).
% 82.71/52.31 tff(8270,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8271,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8272,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8271, 8270])).
% 82.71/52.31 tff(8273,plain,
% 82.71/52.31 (~v130(constB51, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8272, 744, 8180])).
% 82.71/52.31 tff(8274,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8275,plain,
% 82.71/52.31 ((v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2))) <=> ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8276,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8275])).
% 82.71/52.31 tff(8277,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8276, 8274])).
% 82.71/52.31 tff(8278,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8279,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 82.71/52.31 tff(8280,plain,
% 82.71/52.31 ((~v127(constB51, 2)) | v130(constB51, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8279, 556, 8220])).
% 82.71/52.31 tff(8281,plain,
% 82.71/52.31 (~v127(constB51, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8280, 8273])).
% 82.71/52.31 tff(8282,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8283,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8284,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8283, 8282])).
% 82.71/52.31 tff(8285,plain,
% 82.71/52.31 (v127(constB51, 2) | (~v129(constB52, 2))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8284, 574, 8235])).
% 82.71/52.31 tff(8286,plain,
% 82.71/52.31 (~v129(constB52, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8285, 8281])).
% 82.71/52.31 tff(8287,plain,
% 82.71/52.31 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8288,plain,
% 82.71/52.31 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8289,plain,
% 82.71/52.31 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 82.71/52.31 tff(8290,plain,
% 82.71/52.31 ((~v90(constB52, 2)) | (~v100(constB52))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8289, 589, 8286])).
% 82.71/52.31 tff(8291,plain,
% 82.71/52.31 (~v90(constB52, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8290, 8269])).
% 82.71/52.31 tff(8292,plain,
% 82.71/52.31 ((~v1(constB53)) <=> (~v1(constB53))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8293,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 82.71/52.31 tff(8294,plain,
% 82.71/52.31 (~v1(constB53)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8293, 8292])).
% 82.71/52.31 tff(8295,plain,
% 82.71/52.31 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8296,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 82.71/52.31 tff(8297,plain,
% 82.71/52.31 (nextState(constB52, constB53)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8296, 8295])).
% 82.71/52.31 tff(8298,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8299,plain,
% 82.71/52.31 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8300,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8299])).
% 82.71/52.31 tff(8301,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8300, 8298])).
% 82.71/52.31 tff(8302,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8303,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 82.71/52.31 tff(8304,plain,
% 82.71/52.31 (~v101(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8303, 66, 8297, 8294])).
% 82.71/52.31 tff(8305,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8306,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8307,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 82.71/52.31 tff(8308,plain,
% 82.71/52.31 (v101(constB53) | (~v100(constB53))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8307, 83, 8297])).
% 82.71/52.31 tff(8309,plain,
% 82.71/52.31 (~v100(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8308, 8304])).
% 82.71/52.31 tff(8310,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8311,plain,
% 82.71/52.31 (((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))) <=> (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8312,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8311])).
% 82.71/52.31 tff(8313,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8312, 8310])).
% 82.71/52.31 tff(8314,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8315,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 82.71/52.31 tff(8316,plain,
% 82.71/52.31 (v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8315, 98, 8297])).
% 82.71/52.31 tff(8317,plain,
% 82.71/52.31 (v90(constB52, 2) | (~v90(constB53, 2))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8316, 8309])).
% 82.71/52.31 tff(8318,plain,
% 82.71/52.31 (~v90(constB53, 2)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8317, 8291])).
% 82.71/52.31 tff(8319,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8320,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8321,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 82.71/52.31 tff(8322,plain,
% 82.71/52.31 (v130(constB51, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8321, 804, 8180])).
% 82.71/52.31 tff(8323,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8324,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8325,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 82.71/52.31 tff(8326,plain,
% 82.71/52.31 ((~v130(constB51, 1)) | v127(constB51, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8325, 818, 8220])).
% 82.71/52.31 tff(8327,plain,
% 82.71/52.31 (v127(constB51, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8326, 8322])).
% 82.71/52.31 tff(8328,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8329,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8330,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 82.71/52.31 tff(8331,plain,
% 82.71/52.31 ((~v127(constB51, 1)) | v129(constB52, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8330, 833, 8235])).
% 82.71/52.31 tff(8332,plain,
% 82.71/52.31 (v129(constB52, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8331, 8327])).
% 82.71/52.31 tff(8333,plain,
% 82.71/52.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8334,plain,
% 82.71/52.31 ((v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1))) <=> (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8335,plain,
% 82.71/52.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8334])).
% 82.71/52.31 tff(8336,plain,
% 82.71/52.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8335, 8333])).
% 82.71/52.31 tff(8337,plain,
% 82.71/52.31 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8338,plain,
% 82.71/52.31 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 82.71/52.31 tff(8339,plain,
% 82.71/52.31 (v90(constB52, 1) | (~v100(constB52))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8338, 848, 8332])).
% 82.71/52.31 tff(8340,plain,
% 82.71/52.31 (v90(constB52, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8339, 8269])).
% 82.71/52.31 tff(8341,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8342,plain,
% 82.71/52.31 (((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)) <=> ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8343,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8342])).
% 82.71/52.31 tff(8344,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8343, 8341])).
% 82.71/52.31 tff(8345,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8346,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 82.71/52.31 tff(8347,plain,
% 82.71/52.31 ((~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8346, 866, 8297])).
% 82.71/52.31 tff(8348,plain,
% 82.71/52.31 ((~v90(constB52, 1)) | v90(constB53, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8347, 8309])).
% 82.71/52.31 tff(8349,plain,
% 82.71/52.31 (v90(constB53, 1)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8348, 8340])).
% 82.71/52.31 tff(8350,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8351,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8352,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 82.71/52.31 tff(8353,plain,
% 82.71/52.31 (~v130(constB51, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8352, 882, 8180])).
% 82.71/52.31 tff(8354,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8355,plain,
% 82.71/52.31 ((v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0))) <=> ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8356,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8355])).
% 82.71/52.31 tff(8357,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8356, 8354])).
% 82.71/52.31 tff(8358,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8359,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 82.71/52.31 tff(8360,plain,
% 82.71/52.31 ((~v127(constB51, 0)) | v130(constB51, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8359, 896, 8220])).
% 82.71/52.31 tff(8361,plain,
% 82.71/52.31 (~v127(constB51, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8360, 8353])).
% 82.71/52.31 tff(8362,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8363,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8364,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 82.71/52.31 tff(8365,plain,
% 82.71/52.31 (v127(constB51, 0) | (~v129(constB52, 0))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8364, 914, 8235])).
% 82.71/52.31 tff(8366,plain,
% 82.71/52.31 (~v129(constB52, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8365, 8361])).
% 82.71/52.31 tff(8367,plain,
% 82.71/52.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8368,plain,
% 82.71/52.31 (((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0)) <=> ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8369,plain,
% 82.71/52.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8368])).
% 82.71/52.31 tff(8370,plain,
% 82.71/52.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8369, 8367])).
% 82.71/52.31 tff(8371,plain,
% 82.71/52.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8372,plain,
% 82.71/52.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8371, 8370])).
% 82.71/52.31 tff(8373,plain,
% 82.71/52.31 ((~v90(constB52, 0)) | (~v100(constB52))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8372, 929, 8366])).
% 82.71/52.31 tff(8374,plain,
% 82.71/52.31 (~v90(constB52, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8373, 8269])).
% 82.71/52.31 tff(8375,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8376,plain,
% 82.71/52.31 (((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))) <=> (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8377,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8376])).
% 82.71/52.31 tff(8378,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8377, 8375])).
% 82.71/52.31 tff(8379,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8380,plain,
% 82.71/52.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 82.71/52.31 tff(8381,plain,
% 82.71/52.31 (v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8380, 140, 8297])).
% 82.71/52.31 tff(8382,plain,
% 82.71/52.31 (v90(constB52, 0) | (~v90(constB53, 0))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8381, 8309])).
% 82.71/52.31 tff(8383,plain,
% 82.71/52.31 (~v90(constB53, 0)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8382, 8374])).
% 82.71/52.31 tff(8384,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8385,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8386,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 82.71/52.31 tff(8387,plain,
% 82.71/52.31 (v121(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8386, 956, 8383, 8349, 8318])).
% 82.71/52.31 tff(8388,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8389,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8390,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 82.71/52.31 tff(8391,plain,
% 82.71/52.31 (v117(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8390, 967, 8387])).
% 82.71/52.31 tff(8392,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB53)) | v116(constB53))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8393,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8394,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB53)) | v116(constB53)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 82.71/52.31 tff(8395,plain,
% 82.71/52.31 (v116(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8394, 200, 8391])).
% 82.71/52.31 tff(8396,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8397,plain,
% 82.71/52.31 (((~v116(constB53)) | v115(constB53)) <=> (v115(constB53) | (~v116(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8398,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8397])).
% 82.71/52.31 tff(8399,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8398, 8396])).
% 82.71/52.31 tff(8400,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8401,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 82.71/52.31 tff(8402,plain,
% 82.71/52.31 (v115(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8401, 214, 8395])).
% 82.71/52.31 tff(8403,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8404,plain,
% 82.71/52.31 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8405,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8404])).
% 82.71/52.31 tff(8406,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8405, 8403])).
% 82.71/52.31 tff(8407,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8408,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8407, 8406])).
% 82.71/52.31 tff(8409,plain,
% 82.71/52.31 (v114(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8408, 228, 8402])).
% 82.71/52.31 tff(8410,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8411,plain,
% 82.71/52.31 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8412,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8411])).
% 82.71/52.31 tff(8413,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8412, 8410])).
% 82.71/52.31 tff(8414,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8415,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 82.71/52.31 tff(8416,plain,
% 82.71/52.31 (v113(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8415, 242, 8409])).
% 82.71/52.31 tff(8417,assumption,(v26(constB53)), introduced(assumption)).
% 82.71/52.31 tff(8418,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8419,plain,
% 82.71/52.31 ($false),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8418, 19, 8417])).
% 82.71/52.31 tff(8420,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.31 tff(8421,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8422,plain,
% 82.71/52.31 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8423,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8422])).
% 82.71/52.31 tff(8424,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8423, 8421])).
% 82.71/52.31 tff(8425,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8426,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 82.71/52.31 tff(8427,plain,
% 82.71/52.31 (v112(constB53) | (~v113(constB53))),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8426, 256, 8420])).
% 82.71/52.31 tff(8428,plain,
% 82.71/52.31 (v112(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8427, 8416])).
% 82.71/52.31 tff(8429,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8430,plain,
% 82.71/52.31 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8431,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 82.71/52.31 inference(monotonicity,[status(thm)],[8430])).
% 82.71/52.31 tff(8432,plain,
% 82.71/52.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 82.71/52.31 inference(transitivity,[status(thm)],[8431, 8429])).
% 82.71/52.31 tff(8433,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 82.71/52.31 inference(quant_inst,[status(thm)],[])).
% 82.71/52.31 tff(8434,plain,
% 82.71/52.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 82.71/52.31 tff(8435,plain,
% 82.71/52.31 (v108(constB53)),
% 82.71/52.31 inference(unit_resolution,[status(thm)],[8434, 268, 8428])).
% 82.71/52.31 tff(8436,plain,
% 82.71/52.31 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8437,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 82.71/52.31 tff(8438,plain,
% 82.71/52.31 (nextState(constB53, constB54)),
% 82.71/52.31 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 82.71/52.31 tff(8439,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8440,plain,
% 82.71/52.31 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 82.71/52.31 inference(rewrite,[status(thm)],[])).
% 82.71/52.31 tff(8441,plain,
% 82.71/52.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8440])).
% 82.71/52.32 tff(8442,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8441, 8439])).
% 82.71/52.32 tff(8443,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8444,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 82.71/52.32 tff(8445,plain,
% 82.71/52.32 (v110(constB54) | (~v108(constB53))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8444, 288, 8438])).
% 82.71/52.32 tff(8446,plain,
% 82.71/52.32 (v110(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8445, 8435])).
% 82.71/52.32 tff(8447,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8448,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8449,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 82.71/52.32 tff(8450,plain,
% 82.71/52.32 (~v104(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8449, 306, 8438, 8294])).
% 82.71/52.32 tff(8451,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8452,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8453,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 82.71/52.32 tff(8454,plain,
% 82.71/52.32 (v102(constB54) | v104(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8453, 320, 8438])).
% 82.71/52.32 tff(8455,plain,
% 82.71/52.32 (v102(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8454, 8450])).
% 82.71/52.32 tff(8456,plain,
% 82.71/52.32 (v1(constB54) <=> v1(constB54)),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8457,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 82.71/52.32 tff(8458,plain,
% 82.71/52.32 (v1(constB54)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 82.71/52.32 tff(8459,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8460,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8461,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8460, 8459])).
% 82.71/52.32 tff(8462,plain,
% 82.71/52.32 (v101(constB54) | (~v102(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8461, 338, 8438, 8458])).
% 82.71/52.32 tff(8463,plain,
% 82.71/52.32 (v101(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8462, 8455])).
% 82.71/52.32 tff(8464,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8465,plain,
% 82.71/52.32 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8466,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8465])).
% 82.71/52.32 tff(8467,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8466, 8464])).
% 82.71/52.32 tff(8468,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8469,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8468, 8467])).
% 82.71/52.32 tff(8470,plain,
% 82.71/52.32 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8469, 353, 8438])).
% 82.71/52.32 tff(8471,plain,
% 82.71/52.32 (v100(constB54) | (~v110(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8470, 8463])).
% 82.71/52.32 tff(8472,plain,
% 82.71/52.32 (v100(constB54)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8471, 8446])).
% 82.71/52.32 tff(8473,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8474,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8475,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 82.71/52.32 tff(8476,plain,
% 82.71/52.32 (~v130(constB53, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8475, 1052, 8387])).
% 82.71/52.32 tff(8477,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8478,plain,
% 82.71/52.32 ((v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2))) <=> ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8479,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8478])).
% 82.71/52.32 tff(8480,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8479, 8477])).
% 82.71/52.32 tff(8481,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8482,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8481, 8480])).
% 82.71/52.32 tff(8483,plain,
% 82.71/52.32 ((~v127(constB53, 2)) | v130(constB53, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8482, 556, 8420])).
% 82.71/52.32 tff(8484,plain,
% 82.71/52.32 (~v127(constB53, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8483, 8476])).
% 82.71/52.32 tff(8485,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8486,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8487,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 82.71/52.32 tff(8488,plain,
% 82.71/52.32 (v127(constB53, 2) | (~v129(constB54, 2))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8487, 574, 8438])).
% 82.71/52.32 tff(8489,plain,
% 82.71/52.32 (~v129(constB54, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8488, 8484])).
% 82.71/52.32 tff(8490,plain,
% 82.71/52.32 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8491,plain,
% 82.71/52.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8492,plain,
% 82.71/52.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 82.71/52.32 tff(8493,plain,
% 82.71/52.32 ((~v90(constB54, 2)) | (~v100(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8492, 589, 8489])).
% 82.71/52.32 tff(8494,plain,
% 82.71/52.32 (~v90(constB54, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8493, 8472])).
% 82.71/52.32 tff(8495,plain,
% 82.71/52.32 ((~v1(constB55)) <=> (~v1(constB55))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8496,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 82.71/52.32 tff(8497,plain,
% 82.71/52.32 (~v1(constB55)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 82.71/52.32 tff(8498,plain,
% 82.71/52.32 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8499,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 82.71/52.32 tff(8500,plain,
% 82.71/52.32 (nextState(constB54, constB55)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 82.71/52.32 tff(8501,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8502,plain,
% 82.71/52.32 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8503,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8502])).
% 82.71/52.32 tff(8504,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8503, 8501])).
% 82.71/52.32 tff(8505,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8506,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 82.71/52.32 tff(8507,plain,
% 82.71/52.32 (~v101(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8506, 66, 8500, 8497])).
% 82.71/52.32 tff(8508,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8509,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8510,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 82.71/52.32 tff(8511,plain,
% 82.71/52.32 (v101(constB55) | (~v100(constB55))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8510, 83, 8500])).
% 82.71/52.32 tff(8512,plain,
% 82.71/52.32 (~v100(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8511, 8507])).
% 82.71/52.32 tff(8513,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8514,plain,
% 82.71/52.32 (((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))) <=> (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8515,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8514])).
% 82.71/52.32 tff(8516,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8515, 8513])).
% 82.71/52.32 tff(8517,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8518,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 82.71/52.32 tff(8519,plain,
% 82.71/52.32 (v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8518, 98, 8500])).
% 82.71/52.32 tff(8520,plain,
% 82.71/52.32 (v90(constB54, 2) | (~v90(constB55, 2))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8519, 8512])).
% 82.71/52.32 tff(8521,plain,
% 82.71/52.32 (~v90(constB55, 2)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8520, 8494])).
% 82.71/52.32 tff(8522,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8523,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8524,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 82.71/52.32 tff(8525,plain,
% 82.71/52.32 (v130(constB53, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8524, 1108, 8387])).
% 82.71/52.32 tff(8526,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8527,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8528,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 82.71/52.32 tff(8529,plain,
% 82.71/52.32 ((~v130(constB53, 1)) | v127(constB53, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8528, 818, 8420])).
% 82.71/52.32 tff(8530,plain,
% 82.71/52.32 (v127(constB53, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8529, 8525])).
% 82.71/52.32 tff(8531,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8532,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8533,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8532, 8531])).
% 82.71/52.32 tff(8534,plain,
% 82.71/52.32 ((~v127(constB53, 1)) | v129(constB54, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8533, 833, 8438])).
% 82.71/52.32 tff(8535,plain,
% 82.71/52.32 (v129(constB54, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8534, 8530])).
% 82.71/52.32 tff(8536,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8537,plain,
% 82.71/52.32 ((v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1))) <=> (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8538,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8537])).
% 82.71/52.32 tff(8539,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8538, 8536])).
% 82.71/52.32 tff(8540,plain,
% 82.71/52.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8541,plain,
% 82.71/52.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 82.71/52.32 tff(8542,plain,
% 82.71/52.32 (v90(constB54, 1) | (~v100(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8541, 848, 8535])).
% 82.71/52.32 tff(8543,plain,
% 82.71/52.32 (v90(constB54, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8542, 8472])).
% 82.71/52.32 tff(8544,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8545,plain,
% 82.71/52.32 (((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)) <=> ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8546,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8545])).
% 82.71/52.32 tff(8547,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8546, 8544])).
% 82.71/52.32 tff(8548,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8549,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 82.71/52.32 tff(8550,plain,
% 82.71/52.32 ((~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8549, 866, 8500])).
% 82.71/52.32 tff(8551,plain,
% 82.71/52.32 ((~v90(constB54, 1)) | v90(constB55, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8550, 8512])).
% 82.71/52.32 tff(8552,plain,
% 82.71/52.32 (v90(constB55, 1)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8551, 8543])).
% 82.71/52.32 tff(8553,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8554,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8555,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 82.71/52.32 tff(8556,plain,
% 82.71/52.32 (v130(constB53, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8555, 1146, 8387])).
% 82.71/52.32 tff(8557,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8558,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8559,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 82.71/52.32 tff(8560,plain,
% 82.71/52.32 ((~v130(constB53, 0)) | v127(constB53, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8559, 478, 8420])).
% 82.71/52.32 tff(8561,plain,
% 82.71/52.32 (v127(constB53, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8560, 8556])).
% 82.71/52.32 tff(8562,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8563,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8564,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 82.71/52.32 tff(8565,plain,
% 82.71/52.32 ((~v127(constB53, 0)) | v129(constB54, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8564, 493, 8438])).
% 82.71/52.32 tff(8566,plain,
% 82.71/52.32 (v129(constB54, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8565, 8561])).
% 82.71/52.32 tff(8567,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8568,plain,
% 82.71/52.32 ((v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0))) <=> (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8569,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8568])).
% 82.71/52.32 tff(8570,plain,
% 82.71/52.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8569, 8567])).
% 82.71/52.32 tff(8571,plain,
% 82.71/52.32 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8572,plain,
% 82.71/52.32 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8571, 8570])).
% 82.71/52.32 tff(8573,plain,
% 82.71/52.32 (v90(constB54, 0) | (~v100(constB54))),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8572, 508, 8566])).
% 82.71/52.32 tff(8574,plain,
% 82.71/52.32 (v90(constB54, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8573, 8472])).
% 82.71/52.32 tff(8575,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8576,plain,
% 82.71/52.32 (((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)) <=> ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8577,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8576])).
% 82.71/52.32 tff(8578,plain,
% 82.71/52.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8577, 8575])).
% 82.71/52.32 tff(8579,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8580,plain,
% 82.71/52.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 82.71/52.32 tff(8581,plain,
% 82.71/52.32 ((~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8580, 526, 8500])).
% 82.71/52.32 tff(8582,plain,
% 82.71/52.32 ((~v90(constB54, 0)) | v90(constB55, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8581, 8512])).
% 82.71/52.32 tff(8583,plain,
% 82.71/52.32 (v90(constB55, 0)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8582, 8574])).
% 82.71/52.32 tff(8584,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8585,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8586,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 82.71/52.32 tff(8587,plain,
% 82.71/52.32 (v122(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8586, 1187, 8583, 8552, 8521])).
% 82.71/52.32 tff(8588,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB55) | (~v122(constB55)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v122(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8589,plain,
% 82.71/52.32 (((~v122(constB55)) | v116(constB55)) <=> (v116(constB55) | (~v122(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8590,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB55) | (~v122(constB55))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8589])).
% 82.71/52.32 tff(8591,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v122(constB55)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8590, 8588])).
% 82.71/52.32 tff(8592,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8593,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB55) | (~v122(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 82.71/52.32 tff(8594,plain,
% 82.71/52.32 (v116(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8593, 1257, 8587])).
% 82.71/52.32 tff(8595,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8596,plain,
% 82.71/52.32 (((~v116(constB55)) | v115(constB55)) <=> (v115(constB55) | (~v116(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8597,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB55) | (~v116(constB55))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8596])).
% 82.71/52.32 tff(8598,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8597, 8595])).
% 82.71/52.32 tff(8599,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8600,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB55) | (~v116(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 82.71/52.32 tff(8601,plain,
% 82.71/52.32 (v115(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8600, 214, 8594])).
% 82.71/52.32 tff(8602,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8603,plain,
% 82.71/52.32 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8604,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8603])).
% 82.71/52.32 tff(8605,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8604, 8602])).
% 82.71/52.32 tff(8606,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8607,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 82.71/52.32 tff(8608,plain,
% 82.71/52.32 (v114(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8607, 228, 8601])).
% 82.71/52.32 tff(8609,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8610,plain,
% 82.71/52.32 (((~v114(constB55)) | v113(constB55)) <=> (v113(constB55) | (~v114(constB55)))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8611,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55))))),
% 82.71/52.32 inference(monotonicity,[status(thm)],[8610])).
% 82.71/52.32 tff(8612,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 82.71/52.32 inference(transitivity,[status(thm)],[8611, 8609])).
% 82.71/52.32 tff(8613,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8614,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55))),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8613, 8612])).
% 82.71/52.32 tff(8615,plain,
% 82.71/52.32 (v113(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8614, 242, 8608])).
% 82.71/52.32 tff(8616,assumption,(v26(constB55)), introduced(assumption)).
% 82.71/52.32 tff(8617,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8618,plain,
% 82.71/52.32 ($false),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8617, 19, 8616])).
% 82.71/52.32 tff(8619,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.32 tff(8620,plain,
% 82.71/52.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 82.71/52.32 inference(rewrite,[status(thm)],[])).
% 82.71/52.32 tff(8621,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 82.71/52.32 inference(quant_inst,[status(thm)],[])).
% 82.71/52.32 tff(8622,plain,
% 82.71/52.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55)),
% 82.71/52.32 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 82.71/52.32 tff(8623,plain,
% 82.71/52.32 ((~v113(constB55)) | v112(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8622, 256, 8619])).
% 82.71/52.32 tff(8624,plain,
% 82.71/52.32 (v112(constB55)),
% 82.71/52.32 inference(unit_resolution,[status(thm)],[8623, 8615])).
% 82.71/52.33 tff(8625,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8626,plain,
% 82.71/52.33 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8627,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8626])).
% 82.71/52.33 tff(8628,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8627, 8625])).
% 82.71/52.33 tff(8629,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8630,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8629, 8628])).
% 82.71/52.33 tff(8631,plain,
% 82.71/52.33 (v108(constB55)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8630, 268, 8624])).
% 82.71/52.33 tff(8632,plain,
% 82.71/52.33 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8633,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 82.71/52.33 tff(8634,plain,
% 82.71/52.33 (nextState(constB55, constB56)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 82.71/52.33 tff(8635,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8636,plain,
% 82.71/52.33 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8637,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8636])).
% 82.71/52.33 tff(8638,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8637, 8635])).
% 82.71/52.33 tff(8639,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8640,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8639, 8638])).
% 82.71/52.33 tff(8641,plain,
% 82.71/52.33 (v110(constB56) | (~v108(constB55))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8640, 288, 8634])).
% 82.71/52.33 tff(8642,plain,
% 82.71/52.33 (v110(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8641, 8631])).
% 82.71/52.33 tff(8643,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8644,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8645,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 82.71/52.33 tff(8646,plain,
% 82.71/52.33 (~v104(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8645, 306, 8634, 8497])).
% 82.71/52.33 tff(8647,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8648,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8649,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 82.71/52.33 tff(8650,plain,
% 82.71/52.33 (v102(constB56) | v104(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8649, 320, 8634])).
% 82.71/52.33 tff(8651,plain,
% 82.71/52.33 (v102(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8650, 8646])).
% 82.71/52.33 tff(8652,plain,
% 82.71/52.33 (v1(constB56) <=> v1(constB56)),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8653,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 82.71/52.33 tff(8654,plain,
% 82.71/52.33 (v1(constB56)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 82.71/52.33 tff(8655,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8656,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8657,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 82.71/52.33 tff(8658,plain,
% 82.71/52.33 (v101(constB56) | (~v102(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8657, 338, 8634, 8654])).
% 82.71/52.33 tff(8659,plain,
% 82.71/52.33 (v101(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8658, 8651])).
% 82.71/52.33 tff(8660,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8661,plain,
% 82.71/52.33 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8662,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8661])).
% 82.71/52.33 tff(8663,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8662, 8660])).
% 82.71/52.33 tff(8664,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8665,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 82.71/52.33 tff(8666,plain,
% 82.71/52.33 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8665, 353, 8634])).
% 82.71/52.33 tff(8667,plain,
% 82.71/52.33 (v100(constB56) | (~v110(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8666, 8659])).
% 82.71/52.33 tff(8668,plain,
% 82.71/52.33 (v100(constB56)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8667, 8642])).
% 82.71/52.33 tff(8669,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8670,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8671,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 82.71/52.33 tff(8672,plain,
% 82.71/52.33 (v130(constB55, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8671, 1198, 8587])).
% 82.71/52.33 tff(8673,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8674,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8675,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 82.71/52.33 tff(8676,plain,
% 82.71/52.33 ((~v130(constB55, 2)) | v127(constB55, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8675, 1212, 8619])).
% 82.71/52.33 tff(8677,plain,
% 82.71/52.33 (v127(constB55, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8676, 8672])).
% 82.71/52.33 tff(8678,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8679,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8680,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8679, 8678])).
% 82.71/52.33 tff(8681,plain,
% 82.71/52.33 ((~v127(constB55, 2)) | v129(constB56, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8680, 1230, 8634])).
% 82.71/52.33 tff(8682,plain,
% 82.71/52.33 (v129(constB56, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8681, 8677])).
% 82.71/52.33 tff(8683,plain,
% 82.71/52.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8684,plain,
% 82.71/52.33 ((v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2))) <=> (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8685,plain,
% 82.71/52.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8684])).
% 82.71/52.33 tff(8686,plain,
% 82.71/52.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8685, 8683])).
% 82.71/52.33 tff(8687,plain,
% 82.71/52.33 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8688,plain,
% 82.71/52.33 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 82.71/52.33 tff(8689,plain,
% 82.71/52.33 (v90(constB56, 2) | (~v100(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8688, 1338, 8682])).
% 82.71/52.33 tff(8690,plain,
% 82.71/52.33 (v90(constB56, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8689, 8668])).
% 82.71/52.33 tff(8691,plain,
% 82.71/52.33 ((~v1(constB57)) <=> (~v1(constB57))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8692,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 82.71/52.33 tff(8693,plain,
% 82.71/52.33 (~v1(constB57)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8692, 8691])).
% 82.71/52.33 tff(8694,plain,
% 82.71/52.33 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8695,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 82.71/52.33 tff(8696,plain,
% 82.71/52.33 (nextState(constB56, constB57)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 82.71/52.33 tff(8697,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8698,plain,
% 82.71/52.33 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8699,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8698])).
% 82.71/52.33 tff(8700,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8699, 8697])).
% 82.71/52.33 tff(8701,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8702,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8701, 8700])).
% 82.71/52.33 tff(8703,plain,
% 82.71/52.33 (~v101(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8702, 66, 8696, 8693])).
% 82.71/52.33 tff(8704,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8705,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8706,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 82.71/52.33 tff(8707,plain,
% 82.71/52.33 (v101(constB57) | (~v100(constB57))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8706, 83, 8696])).
% 82.71/52.33 tff(8708,plain,
% 82.71/52.33 (~v100(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8707, 8703])).
% 82.71/52.33 tff(8709,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8710,plain,
% 82.71/52.33 (((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)) <=> ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8711,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8710])).
% 82.71/52.33 tff(8712,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8711, 8709])).
% 82.71/52.33 tff(8713,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8714,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 82.71/52.33 tff(8715,plain,
% 82.71/52.33 ((~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8714, 1374, 8696])).
% 82.71/52.33 tff(8716,plain,
% 82.71/52.33 ((~v90(constB56, 2)) | v90(constB57, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8715, 8708])).
% 82.71/52.33 tff(8717,plain,
% 82.71/52.33 (v90(constB57, 2)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8716, 8690])).
% 82.71/52.33 tff(8718,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8719,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8720,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8719, 8718])).
% 82.71/52.33 tff(8721,plain,
% 82.71/52.33 (~v130(constB55, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8720, 1390, 8587])).
% 82.71/52.33 tff(8722,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8723,plain,
% 82.71/52.33 ((v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1))) <=> ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8724,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8723])).
% 82.71/52.33 tff(8725,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8724, 8722])).
% 82.71/52.33 tff(8726,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8727,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 82.71/52.33 tff(8728,plain,
% 82.71/52.33 ((~v127(constB55, 1)) | v130(constB55, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8727, 383, 8619])).
% 82.71/52.33 tff(8729,plain,
% 82.71/52.33 (~v127(constB55, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8728, 8721])).
% 82.71/52.33 tff(8730,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8731,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8732,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 82.71/52.33 tff(8733,plain,
% 82.71/52.33 (v127(constB55, 1) | (~v129(constB56, 1))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8732, 401, 8634])).
% 82.71/52.33 tff(8734,plain,
% 82.71/52.33 (~v129(constB56, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8733, 8729])).
% 82.71/52.33 tff(8735,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8736,plain,
% 82.71/52.33 (((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1)) <=> ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8737,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8736])).
% 82.71/52.33 tff(8738,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8737, 8735])).
% 82.71/52.33 tff(8739,plain,
% 82.71/52.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8740,plain,
% 82.71/52.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8739, 8738])).
% 82.71/52.33 tff(8741,plain,
% 82.71/52.33 ((~v90(constB56, 1)) | (~v100(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8740, 416, 8734])).
% 82.71/52.33 tff(8742,plain,
% 82.71/52.33 (~v90(constB56, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8741, 8668])).
% 82.71/52.33 tff(8743,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8744,plain,
% 82.71/52.33 (((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))) <=> (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8745,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8744])).
% 82.71/52.33 tff(8746,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8745, 8743])).
% 82.71/52.33 tff(8747,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8748,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 82.71/52.33 tff(8749,plain,
% 82.71/52.33 (v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8748, 119, 8696])).
% 82.71/52.33 tff(8750,plain,
% 82.71/52.33 (v90(constB56, 1) | (~v90(constB57, 1))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8749, 8708])).
% 82.71/52.33 tff(8751,plain,
% 82.71/52.33 (~v90(constB57, 1)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8750, 8742])).
% 82.71/52.33 tff(8752,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8753,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8754,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 82.71/52.33 tff(8755,plain,
% 82.71/52.33 (~v130(constB55, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8754, 1431, 8587])).
% 82.71/52.33 tff(8756,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8757,plain,
% 82.71/52.33 ((v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0))) <=> ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8758,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8757])).
% 82.71/52.33 tff(8759,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8758, 8756])).
% 82.71/52.33 tff(8760,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8761,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 82.71/52.33 tff(8762,plain,
% 82.71/52.33 ((~v127(constB55, 0)) | v130(constB55, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8761, 896, 8619])).
% 82.71/52.33 tff(8763,plain,
% 82.71/52.33 (~v127(constB55, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8762, 8755])).
% 82.71/52.33 tff(8764,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8765,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8766,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 82.71/52.33 tff(8767,plain,
% 82.71/52.33 (v127(constB55, 0) | (~v129(constB56, 0))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8766, 914, 8634])).
% 82.71/52.33 tff(8768,plain,
% 82.71/52.33 (~v129(constB56, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8767, 8763])).
% 82.71/52.33 tff(8769,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8770,plain,
% 82.71/52.33 (((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0)) <=> ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8771,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8770])).
% 82.71/52.33 tff(8772,plain,
% 82.71/52.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8771, 8769])).
% 82.71/52.33 tff(8773,plain,
% 82.71/52.33 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8774,plain,
% 82.71/52.33 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 82.71/52.33 tff(8775,plain,
% 82.71/52.33 ((~v90(constB56, 0)) | (~v100(constB56))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8774, 929, 8768])).
% 82.71/52.33 tff(8776,plain,
% 82.71/52.33 (~v90(constB56, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8775, 8668])).
% 82.71/52.33 tff(8777,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8778,plain,
% 82.71/52.33 (((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))) <=> (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8779,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8778])).
% 82.71/52.33 tff(8780,plain,
% 82.71/52.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8779, 8777])).
% 82.71/52.33 tff(8781,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8782,plain,
% 82.71/52.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8781, 8780])).
% 82.71/52.33 tff(8783,plain,
% 82.71/52.33 (v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8782, 140, 8696])).
% 82.71/52.33 tff(8784,plain,
% 82.71/52.33 (v90(constB56, 0) | (~v90(constB57, 0))),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8783, 8708])).
% 82.71/52.33 tff(8785,plain,
% 82.71/52.33 (~v90(constB57, 0)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8784, 8776])).
% 82.71/52.33 tff(8786,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8787,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8788,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 82.71/52.33 tff(8789,plain,
% 82.71/52.33 (v123(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8788, 1475, 8785, 8751, 8717])).
% 82.71/52.33 tff(8790,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB57)) | v115(constB57))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8791,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8792,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB57)) | v115(constB57)),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8791, 8790])).
% 82.71/52.33 tff(8793,plain,
% 82.71/52.33 (v115(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8792, 1486, 8789])).
% 82.71/52.33 tff(8794,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8795,plain,
% 82.71/52.33 (((~v115(constB57)) | v114(constB57)) <=> (v114(constB57) | (~v115(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8796,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8795])).
% 82.71/52.33 tff(8797,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8796, 8794])).
% 82.71/52.33 tff(8798,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8799,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8798, 8797])).
% 82.71/52.33 tff(8800,plain,
% 82.71/52.33 (v114(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8799, 228, 8793])).
% 82.71/52.33 tff(8801,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8802,plain,
% 82.71/52.33 (((~v114(constB57)) | v113(constB57)) <=> (v113(constB57) | (~v114(constB57)))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8803,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57))))),
% 82.71/52.33 inference(monotonicity,[status(thm)],[8802])).
% 82.71/52.33 tff(8804,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 82.71/52.33 inference(transitivity,[status(thm)],[8803, 8801])).
% 82.71/52.33 tff(8805,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8806,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57))),
% 82.71/52.33 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 82.71/52.33 tff(8807,plain,
% 82.71/52.33 (v113(constB57)),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8806, 242, 8800])).
% 82.71/52.33 tff(8808,assumption,(v26(constB57)), introduced(assumption)).
% 82.71/52.33 tff(8809,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 82.71/52.33 inference(quant_inst,[status(thm)],[])).
% 82.71/52.33 tff(8810,plain,
% 82.71/52.33 ($false),
% 82.71/52.33 inference(unit_resolution,[status(thm)],[8809, 19, 8808])).
% 82.71/52.33 tff(8811,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.33 tff(8812,plain,
% 82.71/52.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 82.71/52.33 inference(rewrite,[status(thm)],[])).
% 82.71/52.33 tff(8813,plain,
% 82.71/52.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8814,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | (~v113(constB57)) | v112(constB57)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 82.71/52.34 tff(8815,plain,
% 82.71/52.34 ((~v113(constB57)) | v112(constB57)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8814, 256, 8811])).
% 82.71/52.34 tff(8816,plain,
% 82.71/52.34 (v112(constB57)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8815, 8807])).
% 82.71/52.34 tff(8817,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8818,plain,
% 82.71/52.34 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8819,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8818])).
% 82.71/52.34 tff(8820,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8819, 8817])).
% 82.71/52.34 tff(8821,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8822,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 82.71/52.34 tff(8823,plain,
% 82.71/52.34 (v108(constB57)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8822, 268, 8816])).
% 82.71/52.34 tff(8824,plain,
% 82.71/52.34 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8825,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 82.71/52.34 tff(8826,plain,
% 82.71/52.34 (nextState(constB57, constB58)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 82.71/52.34 tff(8827,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8828,plain,
% 82.71/52.34 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8829,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8828])).
% 82.71/52.34 tff(8830,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8829, 8827])).
% 82.71/52.34 tff(8831,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8832,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 82.71/52.34 tff(8833,plain,
% 82.71/52.34 (v110(constB58) | (~v108(constB57))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8832, 288, 8826])).
% 82.71/52.34 tff(8834,plain,
% 82.71/52.34 (v110(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8833, 8823])).
% 82.71/52.34 tff(8835,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8836,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8837,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 82.71/52.34 tff(8838,plain,
% 82.71/52.34 (~v104(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8837, 306, 8826, 8693])).
% 82.71/52.34 tff(8839,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8840,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8841,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 82.71/52.34 tff(8842,plain,
% 82.71/52.34 (v102(constB58) | v104(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8841, 320, 8826])).
% 82.71/52.34 tff(8843,plain,
% 82.71/52.34 (v102(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8842, 8838])).
% 82.71/52.34 tff(8844,plain,
% 82.71/52.34 (v1(constB58) <=> v1(constB58)),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8845,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 82.71/52.34 tff(8846,plain,
% 82.71/52.34 (v1(constB58)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 82.71/52.34 tff(8847,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8848,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8849,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 82.71/52.34 tff(8850,plain,
% 82.71/52.34 (v101(constB58) | (~v102(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8849, 338, 8826, 8846])).
% 82.71/52.34 tff(8851,plain,
% 82.71/52.34 (v101(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8850, 8843])).
% 82.71/52.34 tff(8852,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8853,plain,
% 82.71/52.34 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8854,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8853])).
% 82.71/52.34 tff(8855,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8854, 8852])).
% 82.71/52.34 tff(8856,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8857,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 82.71/52.34 tff(8858,plain,
% 82.71/52.34 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8857, 353, 8826])).
% 82.71/52.34 tff(8859,plain,
% 82.71/52.34 (v100(constB58) | (~v110(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8858, 8851])).
% 82.71/52.34 tff(8860,plain,
% 82.71/52.34 (v100(constB58)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8859, 8834])).
% 82.71/52.34 tff(8861,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8862,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8863,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 82.71/52.34 tff(8864,plain,
% 82.71/52.34 (v130(constB57, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8863, 1567, 8789])).
% 82.71/52.34 tff(8865,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8866,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8867,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 82.71/52.34 tff(8868,plain,
% 82.71/52.34 ((~v130(constB57, 2)) | v127(constB57, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8867, 1212, 8811])).
% 82.71/52.34 tff(8869,plain,
% 82.71/52.34 (v127(constB57, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8868, 8864])).
% 82.71/52.34 tff(8870,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8871,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8872,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 82.71/52.34 tff(8873,plain,
% 82.71/52.34 ((~v127(constB57, 2)) | v129(constB58, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8872, 1230, 8826])).
% 82.71/52.34 tff(8874,plain,
% 82.71/52.34 (v129(constB58, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8873, 8869])).
% 82.71/52.34 tff(8875,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8876,plain,
% 82.71/52.34 ((v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2))) <=> (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8877,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8876])).
% 82.71/52.34 tff(8878,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8877, 8875])).
% 82.71/52.34 tff(8879,plain,
% 82.71/52.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8880,plain,
% 82.71/52.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 82.71/52.34 tff(8881,plain,
% 82.71/52.34 (v90(constB58, 2) | (~v100(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8880, 1338, 8874])).
% 82.71/52.34 tff(8882,plain,
% 82.71/52.34 (v90(constB58, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8881, 8860])).
% 82.71/52.34 tff(8883,plain,
% 82.71/52.34 ((~v1(constB59)) <=> (~v1(constB59))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8884,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 82.71/52.34 tff(8885,plain,
% 82.71/52.34 (~v1(constB59)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 82.71/52.34 tff(8886,plain,
% 82.71/52.34 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8887,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 82.71/52.34 tff(8888,plain,
% 82.71/52.34 (nextState(constB58, constB59)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 82.71/52.34 tff(8889,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8890,plain,
% 82.71/52.34 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8891,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8890])).
% 82.71/52.34 tff(8892,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8891, 8889])).
% 82.71/52.34 tff(8893,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8894,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 82.71/52.34 tff(8895,plain,
% 82.71/52.34 (~v101(constB59)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8894, 66, 8888, 8885])).
% 82.71/52.34 tff(8896,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8897,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8898,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 82.71/52.34 tff(8899,plain,
% 82.71/52.34 (v101(constB59) | (~v100(constB59))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8898, 83, 8888])).
% 82.71/52.34 tff(8900,plain,
% 82.71/52.34 (~v100(constB59)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8899, 8895])).
% 82.71/52.34 tff(8901,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8902,plain,
% 82.71/52.34 (((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)) <=> ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8903,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8902])).
% 82.71/52.34 tff(8904,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8903, 8901])).
% 82.71/52.34 tff(8905,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8906,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 82.71/52.34 tff(8907,plain,
% 82.71/52.34 ((~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8906, 1374, 8888])).
% 82.71/52.34 tff(8908,plain,
% 82.71/52.34 ((~v90(constB58, 2)) | v90(constB59, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8907, 8900])).
% 82.71/52.34 tff(8909,plain,
% 82.71/52.34 (v90(constB59, 2)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8908, 8882])).
% 82.71/52.34 tff(8910,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8911,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8912,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 82.71/52.34 tff(8913,plain,
% 82.71/52.34 (~v130(constB57, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8912, 1623, 8789])).
% 82.71/52.34 tff(8914,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8915,plain,
% 82.71/52.34 ((v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1))) <=> ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8916,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8915])).
% 82.71/52.34 tff(8917,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8916, 8914])).
% 82.71/52.34 tff(8918,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8919,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 82.71/52.34 tff(8920,plain,
% 82.71/52.34 ((~v127(constB57, 1)) | v130(constB57, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8919, 383, 8811])).
% 82.71/52.34 tff(8921,plain,
% 82.71/52.34 (~v127(constB57, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8920, 8913])).
% 82.71/52.34 tff(8922,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8923,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8924,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 82.71/52.34 tff(8925,plain,
% 82.71/52.34 (v127(constB57, 1) | (~v129(constB58, 1))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8924, 401, 8826])).
% 82.71/52.34 tff(8926,plain,
% 82.71/52.34 (~v129(constB58, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8925, 8921])).
% 82.71/52.34 tff(8927,plain,
% 82.71/52.34 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8928,plain,
% 82.71/52.34 (((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1)) <=> ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8929,plain,
% 82.71/52.34 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8928])).
% 82.71/52.34 tff(8930,plain,
% 82.71/52.34 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8929, 8927])).
% 82.71/52.34 tff(8931,plain,
% 82.71/52.34 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8932,plain,
% 82.71/52.34 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 82.71/52.34 tff(8933,plain,
% 82.71/52.34 ((~v90(constB58, 1)) | (~v100(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8932, 416, 8926])).
% 82.71/52.34 tff(8934,plain,
% 82.71/52.34 (~v90(constB58, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8933, 8860])).
% 82.71/52.34 tff(8935,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8936,plain,
% 82.71/52.34 (((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))) <=> (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8937,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8936])).
% 82.71/52.34 tff(8938,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8937, 8935])).
% 82.71/52.34 tff(8939,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8940,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 82.71/52.34 tff(8941,plain,
% 82.71/52.34 (v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8940, 119, 8888])).
% 82.71/52.34 tff(8942,plain,
% 82.71/52.34 (v90(constB58, 1) | (~v90(constB59, 1))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8941, 8900])).
% 82.71/52.34 tff(8943,plain,
% 82.71/52.34 (~v90(constB59, 1)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8942, 8934])).
% 82.71/52.34 tff(8944,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8945,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8946,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 82.71/52.34 tff(8947,plain,
% 82.71/52.34 (v130(constB57, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8946, 1664, 8789])).
% 82.71/52.34 tff(8948,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8949,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8950,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 82.71/52.34 tff(8951,plain,
% 82.71/52.34 ((~v130(constB57, 0)) | v127(constB57, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8950, 478, 8811])).
% 82.71/52.34 tff(8952,plain,
% 82.71/52.34 (v127(constB57, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8951, 8947])).
% 82.71/52.34 tff(8953,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8954,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8955,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 82.71/52.34 tff(8956,plain,
% 82.71/52.34 ((~v127(constB57, 0)) | v129(constB58, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8955, 493, 8826])).
% 82.71/52.34 tff(8957,plain,
% 82.71/52.34 (v129(constB58, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8956, 8952])).
% 82.71/52.34 tff(8958,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8959,plain,
% 82.71/52.34 ((v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0))) <=> (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8960,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8959])).
% 82.71/52.34 tff(8961,plain,
% 82.71/52.34 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8960, 8958])).
% 82.71/52.34 tff(8962,plain,
% 82.71/52.34 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8963,plain,
% 82.71/52.34 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8962, 8961])).
% 82.71/52.34 tff(8964,plain,
% 82.71/52.34 (v90(constB58, 0) | (~v100(constB58))),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8963, 508, 8957])).
% 82.71/52.34 tff(8965,plain,
% 82.71/52.34 (v90(constB58, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8964, 8860])).
% 82.71/52.34 tff(8966,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8967,plain,
% 82.71/52.34 (((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)) <=> ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8968,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8967])).
% 82.71/52.34 tff(8969,plain,
% 82.71/52.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8968, 8966])).
% 82.71/52.34 tff(8970,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8971,plain,
% 82.71/52.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 82.71/52.34 tff(8972,plain,
% 82.71/52.34 ((~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8971, 526, 8888])).
% 82.71/52.34 tff(8973,plain,
% 82.71/52.34 ((~v90(constB58, 0)) | v90(constB59, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8972, 8900])).
% 82.71/52.34 tff(8974,plain,
% 82.71/52.34 (v90(constB59, 0)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8973, 8965])).
% 82.71/52.34 tff(8975,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8976,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8977,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 82.71/52.34 tff(8978,plain,
% 82.71/52.34 (v124(constB59)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8977, 1705, 8974, 8943, 8909])).
% 82.71/52.34 tff(8979,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8980,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8981,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59)),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8980, 8979])).
% 82.71/52.34 tff(8982,plain,
% 82.71/52.34 (v114(constB59)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8981, 1741, 8978])).
% 82.71/52.34 tff(8983,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8984,plain,
% 82.71/52.34 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 82.71/52.34 inference(rewrite,[status(thm)],[])).
% 82.71/52.34 tff(8985,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 82.71/52.34 inference(monotonicity,[status(thm)],[8984])).
% 82.71/52.34 tff(8986,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 82.71/52.34 inference(transitivity,[status(thm)],[8985, 8983])).
% 82.71/52.34 tff(8987,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8988,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 82.71/52.34 inference(modus_ponens,[status(thm)],[8987, 8986])).
% 82.71/52.34 tff(8989,plain,
% 82.71/52.34 (v113(constB59)),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8988, 242, 8982])).
% 82.71/52.34 tff(8990,assumption,(v26(constB59)), introduced(assumption)).
% 82.71/52.34 tff(8991,plain,
% 82.71/52.34 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 82.71/52.34 inference(quant_inst,[status(thm)],[])).
% 82.71/52.34 tff(8992,plain,
% 82.71/52.34 ($false),
% 82.71/52.34 inference(unit_resolution,[status(thm)],[8991, 19, 8990])).
% 82.71/52.34 tff(8993,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 82.71/52.34 tff(8994,plain,
% 82.71/52.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(8995,plain,
% 82.71/52.35 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(8996,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[8995])).
% 82.71/52.35 tff(8997,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[8996, 8994])).
% 82.71/52.35 tff(8998,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(8999,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 82.71/52.35 tff(9000,plain,
% 82.71/52.35 (v112(constB59) | (~v113(constB59))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[8999, 256, 8993])).
% 82.71/52.35 tff(9001,plain,
% 82.71/52.35 (v112(constB59)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9000, 8989])).
% 82.71/52.35 tff(9002,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9003,plain,
% 82.71/52.35 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9004,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9003])).
% 82.71/52.35 tff(9005,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9004, 9002])).
% 82.71/52.35 tff(9006,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9007,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 82.71/52.35 tff(9008,plain,
% 82.71/52.35 (v108(constB59)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9007, 268, 9001])).
% 82.71/52.35 tff(9009,plain,
% 82.71/52.35 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9010,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 82.71/52.35 tff(9011,plain,
% 82.71/52.35 (nextState(constB59, constB60)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 82.71/52.35 tff(9012,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9013,plain,
% 82.71/52.35 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9014,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9013])).
% 82.71/52.35 tff(9015,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9014, 9012])).
% 82.71/52.35 tff(9016,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9017,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 82.71/52.35 tff(9018,plain,
% 82.71/52.35 (v110(constB60) | (~v108(constB59))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9017, 288, 9011])).
% 82.71/52.35 tff(9019,plain,
% 82.71/52.35 (v110(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9018, 9008])).
% 82.71/52.35 tff(9020,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9021,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9022,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 82.71/52.35 tff(9023,plain,
% 82.71/52.35 (~v104(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9022, 306, 9011, 8885])).
% 82.71/52.35 tff(9024,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9025,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9026,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9025, 9024])).
% 82.71/52.35 tff(9027,plain,
% 82.71/52.35 (v102(constB60) | v104(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9026, 320, 9011])).
% 82.71/52.35 tff(9028,plain,
% 82.71/52.35 (v102(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9027, 9023])).
% 82.71/52.35 tff(9029,plain,
% 82.71/52.35 (v1(constB60) <=> v1(constB60)),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9030,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 82.71/52.35 tff(9031,plain,
% 82.71/52.35 (v1(constB60)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9030, 9029])).
% 82.71/52.35 tff(9032,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9033,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9034,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 82.71/52.35 tff(9035,plain,
% 82.71/52.35 (v101(constB60) | (~v102(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9034, 338, 9011, 9031])).
% 82.71/52.35 tff(9036,plain,
% 82.71/52.35 (v101(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9035, 9028])).
% 82.71/52.35 tff(9037,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9038,plain,
% 82.71/52.35 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9039,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9038])).
% 82.71/52.35 tff(9040,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9039, 9037])).
% 82.71/52.35 tff(9041,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9042,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 82.71/52.35 tff(9043,plain,
% 82.71/52.35 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9042, 353, 9011])).
% 82.71/52.35 tff(9044,plain,
% 82.71/52.35 (v100(constB60) | (~v110(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9043, 9036])).
% 82.71/52.35 tff(9045,plain,
% 82.71/52.35 (v100(constB60)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9044, 9019])).
% 82.71/52.35 tff(9046,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9047,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9048,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9047, 9046])).
% 82.71/52.35 tff(9049,plain,
% 82.71/52.35 (v130(constB59, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9048, 1716, 8978])).
% 82.71/52.35 tff(9050,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9051,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9052,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 82.71/52.35 tff(9053,plain,
% 82.71/52.35 ((~v130(constB59, 2)) | v127(constB59, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9052, 1212, 8993])).
% 82.71/52.35 tff(9054,plain,
% 82.71/52.35 (v127(constB59, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9053, 9049])).
% 82.71/52.35 tff(9055,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9056,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9057,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 82.71/52.35 tff(9058,plain,
% 82.71/52.35 ((~v127(constB59, 2)) | v129(constB60, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9057, 1230, 9011])).
% 82.71/52.35 tff(9059,plain,
% 82.71/52.35 (v129(constB60, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9058, 9054])).
% 82.71/52.35 tff(9060,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9061,plain,
% 82.71/52.35 ((v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2))) <=> (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9062,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9061])).
% 82.71/52.35 tff(9063,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9062, 9060])).
% 82.71/52.35 tff(9064,plain,
% 82.71/52.35 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9065,plain,
% 82.71/52.35 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 82.71/52.35 tff(9066,plain,
% 82.71/52.35 (v90(constB60, 2) | (~v100(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9065, 1338, 9059])).
% 82.71/52.35 tff(9067,plain,
% 82.71/52.35 (v90(constB60, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9066, 9045])).
% 82.71/52.35 tff(9068,plain,
% 82.71/52.35 ((~v1(constB61)) <=> (~v1(constB61))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9069,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 82.71/52.35 tff(9070,plain,
% 82.71/52.35 (~v1(constB61)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 82.71/52.35 tff(9071,plain,
% 82.71/52.35 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9072,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 82.71/52.35 tff(9073,plain,
% 82.71/52.35 (nextState(constB60, constB61)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 82.71/52.35 tff(9074,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9075,plain,
% 82.71/52.35 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9076,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9075])).
% 82.71/52.35 tff(9077,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9076, 9074])).
% 82.71/52.35 tff(9078,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9079,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 82.71/52.35 tff(9080,plain,
% 82.71/52.35 (~v101(constB61)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9079, 66, 9073, 9070])).
% 82.71/52.35 tff(9081,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9082,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9083,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9082, 9081])).
% 82.71/52.35 tff(9084,plain,
% 82.71/52.35 (v101(constB61) | (~v100(constB61))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9083, 83, 9073])).
% 82.71/52.35 tff(9085,plain,
% 82.71/52.35 (~v100(constB61)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9084, 9080])).
% 82.71/52.35 tff(9086,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9087,plain,
% 82.71/52.35 (((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)) <=> ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9088,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9087])).
% 82.71/52.35 tff(9089,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9088, 9086])).
% 82.71/52.35 tff(9090,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9091,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 82.71/52.35 tff(9092,plain,
% 82.71/52.35 ((~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9091, 1374, 9073])).
% 82.71/52.35 tff(9093,plain,
% 82.71/52.35 ((~v90(constB60, 2)) | v90(constB61, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9092, 9085])).
% 82.71/52.35 tff(9094,plain,
% 82.71/52.35 (v90(constB61, 2)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9093, 9067])).
% 82.71/52.35 tff(9095,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9096,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9097,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 82.71/52.35 tff(9098,plain,
% 82.71/52.35 (v130(constB59, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9097, 1767, 8978])).
% 82.71/52.35 tff(9099,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9100,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9101,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9100, 9099])).
% 82.71/52.35 tff(9102,plain,
% 82.71/52.35 ((~v130(constB59, 1)) | v127(constB59, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9101, 818, 8993])).
% 82.71/52.35 tff(9103,plain,
% 82.71/52.35 (v127(constB59, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9102, 9098])).
% 82.71/52.35 tff(9104,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9105,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9106,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 82.71/52.35 tff(9107,plain,
% 82.71/52.35 ((~v127(constB59, 1)) | v129(constB60, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9106, 833, 9011])).
% 82.71/52.35 tff(9108,plain,
% 82.71/52.35 (v129(constB60, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9107, 9103])).
% 82.71/52.35 tff(9109,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9110,plain,
% 82.71/52.35 ((v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1))) <=> (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9111,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9110])).
% 82.71/52.35 tff(9112,plain,
% 82.71/52.35 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9111, 9109])).
% 82.71/52.35 tff(9113,plain,
% 82.71/52.35 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9114,plain,
% 82.71/52.35 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9113, 9112])).
% 82.71/52.35 tff(9115,plain,
% 82.71/52.35 (v90(constB60, 1) | (~v100(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9114, 848, 9108])).
% 82.71/52.35 tff(9116,plain,
% 82.71/52.35 (v90(constB60, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9115, 9045])).
% 82.71/52.35 tff(9117,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9118,plain,
% 82.71/52.35 (((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)) <=> ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9119,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9118])).
% 82.71/52.35 tff(9120,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9119, 9117])).
% 82.71/52.35 tff(9121,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9122,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 82.71/52.35 tff(9123,plain,
% 82.71/52.35 ((~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9122, 866, 9073])).
% 82.71/52.35 tff(9124,plain,
% 82.71/52.35 ((~v90(constB60, 1)) | v90(constB61, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9123, 9085])).
% 82.71/52.35 tff(9125,plain,
% 82.71/52.35 (v90(constB61, 1)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9124, 9116])).
% 82.71/52.35 tff(9126,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9127,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9128,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 82.71/52.35 tff(9129,plain,
% 82.71/52.35 (~v130(constB59, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9128, 1882, 8978])).
% 82.71/52.35 tff(9130,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9131,plain,
% 82.71/52.35 ((v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0))) <=> ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9132,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9131])).
% 82.71/52.35 tff(9133,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9132, 9130])).
% 82.71/52.35 tff(9134,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9135,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 82.71/52.35 tff(9136,plain,
% 82.71/52.35 ((~v127(constB59, 0)) | v130(constB59, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9135, 896, 8993])).
% 82.71/52.35 tff(9137,plain,
% 82.71/52.35 (~v127(constB59, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9136, 9129])).
% 82.71/52.35 tff(9138,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9139,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9140,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9139, 9138])).
% 82.71/52.35 tff(9141,plain,
% 82.71/52.35 (v127(constB59, 0) | (~v129(constB60, 0))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9140, 914, 9011])).
% 82.71/52.35 tff(9142,plain,
% 82.71/52.35 (~v129(constB60, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9141, 9137])).
% 82.71/52.35 tff(9143,plain,
% 82.71/52.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9144,plain,
% 82.71/52.35 (((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0)) <=> ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9145,plain,
% 82.71/52.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9144])).
% 82.71/52.35 tff(9146,plain,
% 82.71/52.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9145, 9143])).
% 82.71/52.35 tff(9147,plain,
% 82.71/52.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9148,plain,
% 82.71/52.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 82.71/52.35 tff(9149,plain,
% 82.71/52.35 ((~v90(constB60, 0)) | (~v100(constB60))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9148, 929, 9142])).
% 82.71/52.35 tff(9150,plain,
% 82.71/52.35 (~v90(constB60, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9149, 9045])).
% 82.71/52.35 tff(9151,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9152,plain,
% 82.71/52.35 (((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))) <=> (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9153,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9152])).
% 82.71/52.35 tff(9154,plain,
% 82.71/52.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9153, 9151])).
% 82.71/52.35 tff(9155,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9156,plain,
% 82.71/52.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 82.71/52.35 tff(9157,plain,
% 82.71/52.35 (v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9156, 140, 9073])).
% 82.71/52.35 tff(9158,plain,
% 82.71/52.35 (v90(constB60, 0) | (~v90(constB61, 0))),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9157, 9085])).
% 82.71/52.35 tff(9159,plain,
% 82.71/52.35 (~v90(constB61, 0)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9158, 9150])).
% 82.71/52.35 tff(9160,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9161,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9162,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61)),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 82.71/52.35 tff(9163,plain,
% 82.71/52.35 (v125(constB61)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9162, 1934, 9159, 9125, 9094])).
% 82.71/52.35 tff(9164,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9165,plain,
% 82.71/52.35 (((~v125(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v125(constB61)))),
% 82.71/52.35 inference(rewrite,[status(thm)],[])).
% 82.71/52.35 tff(9166,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61))))),
% 82.71/52.35 inference(monotonicity,[status(thm)],[9165])).
% 82.71/52.35 tff(9167,plain,
% 82.71/52.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 82.71/52.35 inference(transitivity,[status(thm)],[9166, 9164])).
% 82.71/52.35 tff(9168,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))),
% 82.71/52.35 inference(quant_inst,[status(thm)],[])).
% 82.71/52.35 tff(9169,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61))),
% 82.71/52.35 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 82.71/52.35 tff(9170,plain,
% 82.71/52.35 (v113(constB61)),
% 82.71/52.35 inference(unit_resolution,[status(thm)],[9169, 1946, 9163])).
% 82.71/52.35 tff(9171,assumption,(v26(constB61)), introduced(assumption)).
% 82.71/52.35 tff(9172,plain,
% 82.71/52.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9173,plain,
% 82.79/52.36 ($false),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9172, 19, 9171])).
% 82.79/52.36 tff(9174,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 82.79/52.36 tff(9175,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9176,plain,
% 82.79/52.36 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9177,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9176])).
% 82.79/52.36 tff(9178,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9177, 9175])).
% 82.79/52.36 tff(9179,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9180,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 82.79/52.36 tff(9181,plain,
% 82.79/52.36 (v112(constB61) | (~v113(constB61))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9180, 256, 9174])).
% 82.79/52.36 tff(9182,plain,
% 82.79/52.36 (v112(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9181, 9170])).
% 82.79/52.36 tff(9183,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9184,plain,
% 82.79/52.36 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9185,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9184])).
% 82.79/52.36 tff(9186,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9185, 9183])).
% 82.79/52.36 tff(9187,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9188,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 82.79/52.36 tff(9189,plain,
% 82.79/52.36 (v108(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9188, 268, 9182])).
% 82.79/52.36 tff(9190,plain,
% 82.79/52.36 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9191,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 82.79/52.36 tff(9192,plain,
% 82.79/52.36 (nextState(constB61, constB62)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 82.79/52.36 tff(9193,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9194,plain,
% 82.79/52.36 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9195,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9194])).
% 82.79/52.36 tff(9196,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9195, 9193])).
% 82.79/52.36 tff(9197,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9198,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 82.79/52.36 tff(9199,plain,
% 82.79/52.36 (v110(constB62) | (~v108(constB61))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9198, 288, 9192])).
% 82.79/52.36 tff(9200,plain,
% 82.79/52.36 (v110(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9199, 9189])).
% 82.79/52.36 tff(9201,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9202,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9203,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 82.79/52.36 tff(9204,plain,
% 82.79/52.36 (~v104(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9203, 306, 9192, 9070])).
% 82.79/52.36 tff(9205,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9206,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9207,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 82.79/52.36 tff(9208,plain,
% 82.79/52.36 (v102(constB62) | v104(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9207, 320, 9192])).
% 82.79/52.36 tff(9209,plain,
% 82.79/52.36 (v102(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9208, 9204])).
% 82.79/52.36 tff(9210,plain,
% 82.79/52.36 (v1(constB62) <=> v1(constB62)),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9211,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 82.79/52.36 tff(9212,plain,
% 82.79/52.36 (v1(constB62)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 82.79/52.36 tff(9213,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9214,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9215,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 82.79/52.36 tff(9216,plain,
% 82.79/52.36 (v101(constB62) | (~v102(constB62))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9215, 338, 9192, 9212])).
% 82.79/52.36 tff(9217,plain,
% 82.79/52.36 (v101(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9216, 9209])).
% 82.79/52.36 tff(9218,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9219,plain,
% 82.79/52.36 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9220,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9219])).
% 82.79/52.36 tff(9221,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9220, 9218])).
% 82.79/52.36 tff(9222,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9223,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 82.79/52.36 tff(9224,plain,
% 82.79/52.36 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9223, 353, 9192])).
% 82.79/52.36 tff(9225,plain,
% 82.79/52.36 (v100(constB62) | (~v110(constB62))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9224, 9217])).
% 82.79/52.36 tff(9226,plain,
% 82.79/52.36 (v100(constB62)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9225, 9200])).
% 82.79/52.36 tff(9227,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9228,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9229,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 82.79/52.36 tff(9230,plain,
% 82.79/52.36 (~v121(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9229, 2017, 9094])).
% 82.79/52.36 tff(9231,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9232,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9233,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 82.79/52.36 tff(9234,plain,
% 82.79/52.36 (~v120(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9233, 2039, 9125])).
% 82.79/52.36 tff(9235,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9236,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9237,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 82.79/52.36 tff(9238,plain,
% 82.79/52.36 (~v122(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9237, 2006, 9094])).
% 82.79/52.36 tff(9239,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9240,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9241,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 82.79/52.36 tff(9242,plain,
% 82.79/52.36 (~v124(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9241, 2061, 9125])).
% 82.79/52.36 tff(9243,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9244,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9245,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 82.79/52.36 tff(9246,plain,
% 82.79/52.36 (~v123(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9245, 2050, 9125])).
% 82.79/52.36 tff(9247,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9248,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9249,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9248, 9247])).
% 82.79/52.36 tff(9250,plain,
% 82.79/52.36 (~v119(constB61)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9249, 2028, 9125])).
% 82.79/52.36 tff(9251,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9252,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9253,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9252, 9251])).
% 82.79/52.36 tff(9254,plain,
% 82.79/52.36 (~v130(constB61, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9253, 2075, 9250, 9246, 9242, 9238, 9234, 9230])).
% 82.79/52.36 tff(9255,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9256,plain,
% 82.79/52.36 ((v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2))) <=> ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9257,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9256])).
% 82.79/52.36 tff(9258,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9257, 9255])).
% 82.79/52.36 tff(9259,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9260,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 82.79/52.36 tff(9261,plain,
% 82.79/52.36 ((~v127(constB61, 2)) | v130(constB61, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9260, 556, 9174])).
% 82.79/52.36 tff(9262,plain,
% 82.79/52.36 (~v127(constB61, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9261, 9254])).
% 82.79/52.36 tff(9263,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9264,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9265,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9264, 9263])).
% 82.79/52.36 tff(9266,plain,
% 82.79/52.36 (v127(constB61, 2) | (~v129(constB62, 2))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9265, 574, 9192])).
% 82.79/52.36 tff(9267,plain,
% 82.79/52.36 (~v129(constB62, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9266, 9262])).
% 82.79/52.36 tff(9268,plain,
% 82.79/52.36 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9269,plain,
% 82.79/52.36 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9270,plain,
% 82.79/52.36 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9269, 9268])).
% 82.79/52.36 tff(9271,plain,
% 82.79/52.36 ((~v90(constB62, 2)) | (~v100(constB62))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9270, 589, 9267])).
% 82.79/52.36 tff(9272,plain,
% 82.79/52.36 (~v90(constB62, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9271, 9226])).
% 82.79/52.36 tff(9273,plain,
% 82.79/52.36 ((~v1(constB63)) <=> (~v1(constB63))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9274,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 82.79/52.36 tff(9275,plain,
% 82.79/52.36 (~v1(constB63)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 82.79/52.36 tff(9276,plain,
% 82.79/52.36 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9277,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 82.79/52.36 tff(9278,plain,
% 82.79/52.36 (nextState(constB62, constB63)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 82.79/52.36 tff(9279,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9280,plain,
% 82.79/52.36 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9281,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9280])).
% 82.79/52.36 tff(9282,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9281, 9279])).
% 82.79/52.36 tff(9283,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9284,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9283, 9282])).
% 82.79/52.36 tff(9285,plain,
% 82.79/52.36 (~v101(constB63)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9284, 66, 9278, 9275])).
% 82.79/52.36 tff(9286,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9287,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9288,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 82.79/52.36 tff(9289,plain,
% 82.79/52.36 (v101(constB63) | (~v100(constB63))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9288, 83, 9278])).
% 82.79/52.36 tff(9290,plain,
% 82.79/52.36 (~v100(constB63)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9289, 9285])).
% 82.79/52.36 tff(9291,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9292,plain,
% 82.79/52.36 (((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))) <=> (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9293,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9292])).
% 82.79/52.36 tff(9294,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9293, 9291])).
% 82.79/52.36 tff(9295,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9296,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 82.79/52.36 tff(9297,plain,
% 82.79/52.36 (v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9296, 98, 9278])).
% 82.79/52.36 tff(9298,plain,
% 82.79/52.36 (v90(constB62, 2) | (~v90(constB63, 2))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9297, 9290])).
% 82.79/52.36 tff(9299,plain,
% 82.79/52.36 (~v90(constB63, 2)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9298, 9272])).
% 82.79/52.36 tff(9300,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9301,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9302,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9301, 9300])).
% 82.79/52.36 tff(9303,plain,
% 82.79/52.36 (~v130(constB61, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9302, 2135, 9250, 9246, 9242, 9238, 9234, 9230])).
% 82.79/52.36 tff(9304,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9305,plain,
% 82.79/52.36 ((v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1))) <=> ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9306,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9305])).
% 82.79/52.36 tff(9307,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9306, 9304])).
% 82.79/52.36 tff(9308,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9309,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 82.79/52.36 tff(9310,plain,
% 82.79/52.36 ((~v127(constB61, 1)) | v130(constB61, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9309, 383, 9174])).
% 82.79/52.36 tff(9311,plain,
% 82.79/52.36 (~v127(constB61, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9310, 9303])).
% 82.79/52.36 tff(9312,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9313,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9314,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 82.79/52.36 tff(9315,plain,
% 82.79/52.36 (v127(constB61, 1) | (~v129(constB62, 1))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9314, 401, 9192])).
% 82.79/52.36 tff(9316,plain,
% 82.79/52.36 (~v129(constB62, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9315, 9311])).
% 82.79/52.36 tff(9317,plain,
% 82.79/52.36 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9318,plain,
% 82.79/52.36 (((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1)) <=> ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9319,plain,
% 82.79/52.36 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9318])).
% 82.79/52.36 tff(9320,plain,
% 82.79/52.36 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9319, 9317])).
% 82.79/52.36 tff(9321,plain,
% 82.79/52.36 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9322,plain,
% 82.79/52.36 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 82.79/52.36 tff(9323,plain,
% 82.79/52.36 ((~v90(constB62, 1)) | (~v100(constB62))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9322, 416, 9316])).
% 82.79/52.36 tff(9324,plain,
% 82.79/52.36 (~v90(constB62, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9323, 9226])).
% 82.79/52.36 tff(9325,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9326,plain,
% 82.79/52.36 (((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))) <=> (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9327,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))))),
% 82.79/52.36 inference(monotonicity,[status(thm)],[9326])).
% 82.79/52.36 tff(9328,plain,
% 82.79/52.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 82.79/52.36 inference(transitivity,[status(thm)],[9327, 9325])).
% 82.79/52.36 tff(9329,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9330,plain,
% 82.79/52.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))),
% 82.79/52.36 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 82.79/52.36 tff(9331,plain,
% 82.79/52.36 (v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9330, 119, 9278])).
% 82.79/52.36 tff(9332,plain,
% 82.79/52.36 (v90(constB62, 1) | (~v90(constB63, 1))),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9331, 9290])).
% 82.79/52.36 tff(9333,plain,
% 82.79/52.36 (~v90(constB63, 1)),
% 82.79/52.36 inference(unit_resolution,[status(thm)],[9332, 9324])).
% 82.79/52.36 tff(9334,plain,
% 82.79/52.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 82.79/52.36 inference(rewrite,[status(thm)],[])).
% 82.79/52.36 tff(9335,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 82.79/52.36 inference(quant_inst,[status(thm)],[])).
% 82.79/52.36 tff(9336,plain,
% 82.79/52.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 82.79/52.37 tff(9337,plain,
% 82.79/52.37 (v130(constB61, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9336, 2180, 9250, 9246, 9242, 9238, 9234, 9230])).
% 82.79/52.37 tff(9338,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9339,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9340,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 82.79/52.37 tff(9341,plain,
% 82.79/52.37 ((~v130(constB61, 0)) | v127(constB61, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9340, 478, 9174])).
% 82.79/52.37 tff(9342,plain,
% 82.79/52.37 (v127(constB61, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9341, 9337])).
% 82.79/52.37 tff(9343,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9344,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9345,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9344, 9343])).
% 82.79/52.37 tff(9346,plain,
% 82.79/52.37 ((~v127(constB61, 0)) | v129(constB62, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9345, 493, 9192])).
% 82.79/52.37 tff(9347,plain,
% 82.79/52.37 (v129(constB62, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9346, 9342])).
% 82.79/52.37 tff(9348,plain,
% 82.79/52.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9349,plain,
% 82.79/52.37 ((v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0))) <=> (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9350,plain,
% 82.79/52.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9349])).
% 82.79/52.37 tff(9351,plain,
% 82.79/52.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9350, 9348])).
% 82.79/52.37 tff(9352,plain,
% 82.79/52.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9353,plain,
% 82.79/52.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9352, 9351])).
% 82.79/52.37 tff(9354,plain,
% 82.79/52.37 (v90(constB62, 0) | (~v100(constB62))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9353, 508, 9347])).
% 82.79/52.37 tff(9355,plain,
% 82.79/52.37 (v90(constB62, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9354, 9226])).
% 82.79/52.37 tff(9356,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9357,plain,
% 82.79/52.37 (((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)) <=> ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9358,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9357])).
% 82.79/52.37 tff(9359,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9358, 9356])).
% 82.79/52.37 tff(9360,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9361,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9360, 9359])).
% 82.79/52.37 tff(9362,plain,
% 82.79/52.37 ((~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9361, 526, 9278])).
% 82.79/52.37 tff(9363,plain,
% 82.79/52.37 ((~v90(constB62, 0)) | v90(constB63, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9362, 9290])).
% 82.79/52.37 tff(9364,plain,
% 82.79/52.37 (v90(constB63, 0)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9363, 9355])).
% 82.79/52.37 tff(9365,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9366,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9367,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 82.79/52.37 tff(9368,plain,
% 82.79/52.37 (v120(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9367, 614, 9364, 9333, 9299])).
% 82.79/52.37 tff(9369,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9370,plain,
% 82.79/52.37 (((~v120(constB63)) | v118(constB63)) <=> (v118(constB63) | (~v120(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9371,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB63) | (~v120(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9370])).
% 82.79/52.37 tff(9372,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9371, 9369])).
% 82.79/52.37 tff(9373,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9374,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 82.79/52.37 tff(9375,plain,
% 82.79/52.37 (v118(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9374, 628, 9368])).
% 82.79/52.37 tff(9376,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9377,plain,
% 82.79/52.37 (((~v118(constB63)) | v117(constB63)) <=> (v117(constB63) | (~v118(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9378,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9377])).
% 82.79/52.37 tff(9379,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9378, 9376])).
% 82.79/52.37 tff(9380,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9381,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 82.79/52.37 tff(9382,plain,
% 82.79/52.37 (v117(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9381, 186, 9375])).
% 82.79/52.37 tff(9383,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9384,plain,
% 82.79/52.37 (((~v117(constB63)) | v116(constB63)) <=> (v116(constB63) | (~v117(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9385,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB63) | (~v117(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9384])).
% 82.79/52.37 tff(9386,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9385, 9383])).
% 82.79/52.37 tff(9387,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9388,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB63) | (~v117(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 82.79/52.37 tff(9389,plain,
% 82.79/52.37 (v116(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9388, 200, 9382])).
% 82.79/52.37 tff(9390,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9391,plain,
% 82.79/52.37 (((~v116(constB63)) | v115(constB63)) <=> (v115(constB63) | (~v116(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9392,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB63) | (~v116(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9391])).
% 82.79/52.37 tff(9393,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9392, 9390])).
% 82.79/52.37 tff(9394,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9395,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB63) | (~v116(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9394, 9393])).
% 82.79/52.37 tff(9396,plain,
% 82.79/52.37 (v115(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9395, 214, 9389])).
% 82.79/52.37 tff(9397,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB63)) | v114(constB63))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9398,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9399,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB63)) | v114(constB63)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 82.79/52.37 tff(9400,plain,
% 82.79/52.37 (v114(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9399, 228, 9396])).
% 82.79/52.37 tff(9401,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9402,plain,
% 82.79/52.37 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9403,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9402])).
% 82.79/52.37 tff(9404,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9403, 9401])).
% 82.79/52.37 tff(9405,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9406,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9405, 9404])).
% 82.79/52.37 tff(9407,plain,
% 82.79/52.37 (v113(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9406, 242, 9400])).
% 82.79/52.37 tff(9408,assumption,(v26(constB63)), introduced(assumption)).
% 82.79/52.37 tff(9409,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9410,plain,
% 82.79/52.37 ($false),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9409, 19, 9408])).
% 82.79/52.37 tff(9411,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 82.79/52.37 tff(9412,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9413,plain,
% 82.79/52.37 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9414,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | v112(constB63) | (~v113(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9413])).
% 82.79/52.37 tff(9415,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9414, 9412])).
% 82.79/52.37 tff(9416,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9417,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9416, 9415])).
% 82.79/52.37 tff(9418,plain,
% 82.79/52.37 (v112(constB63) | (~v113(constB63))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9417, 256, 9411])).
% 82.79/52.37 tff(9419,plain,
% 82.79/52.37 (v112(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9418, 9407])).
% 82.79/52.37 tff(9420,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9421,plain,
% 82.79/52.37 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9422,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9421])).
% 82.79/52.37 tff(9423,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9422, 9420])).
% 82.79/52.37 tff(9424,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9425,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 82.79/52.37 tff(9426,plain,
% 82.79/52.37 (v108(constB63)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9425, 268, 9419])).
% 82.79/52.37 tff(9427,plain,
% 82.79/52.37 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9428,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 82.79/52.37 tff(9429,plain,
% 82.79/52.37 (nextState(constB63, constB64)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 82.79/52.37 tff(9430,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9431,plain,
% 82.79/52.37 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9432,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9431])).
% 82.79/52.37 tff(9433,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9432, 9430])).
% 82.79/52.37 tff(9434,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9435,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 82.79/52.37 tff(9436,plain,
% 82.79/52.37 (v110(constB64) | (~v108(constB63))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9435, 288, 9429])).
% 82.79/52.37 tff(9437,plain,
% 82.79/52.37 (v110(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9436, 9426])).
% 82.79/52.37 tff(9438,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9439,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9440,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9439, 9438])).
% 82.79/52.37 tff(9441,plain,
% 82.79/52.37 (~v104(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9440, 306, 9429, 9275])).
% 82.79/52.37 tff(9442,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9443,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9444,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 82.79/52.37 tff(9445,plain,
% 82.79/52.37 (v102(constB64) | v104(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9444, 320, 9429])).
% 82.79/52.37 tff(9446,plain,
% 82.79/52.37 (v102(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9445, 9441])).
% 82.79/52.37 tff(9447,plain,
% 82.79/52.37 (v1(constB64) <=> v1(constB64)),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9448,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 82.79/52.37 tff(9449,plain,
% 82.79/52.37 (v1(constB64)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 82.79/52.37 tff(9450,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9451,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9452,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9451, 9450])).
% 82.79/52.37 tff(9453,plain,
% 82.79/52.37 (v101(constB64) | (~v102(constB64))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9452, 338, 9429, 9449])).
% 82.79/52.37 tff(9454,plain,
% 82.79/52.37 (v101(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9453, 9446])).
% 82.79/52.37 tff(9455,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9456,plain,
% 82.79/52.37 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9457,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9456])).
% 82.79/52.37 tff(9458,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9457, 9455])).
% 82.79/52.37 tff(9459,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9460,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 82.79/52.37 tff(9461,plain,
% 82.79/52.37 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9460, 353, 9429])).
% 82.79/52.37 tff(9462,plain,
% 82.79/52.37 (v100(constB64) | (~v110(constB64))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9461, 9454])).
% 82.79/52.37 tff(9463,plain,
% 82.79/52.37 (v100(constB64)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9462, 9437])).
% 82.79/52.37 tff(9464,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9465,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9466,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 82.79/52.37 tff(9467,plain,
% 82.79/52.37 (~v130(constB63, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9466, 744, 9368])).
% 82.79/52.37 tff(9468,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9469,plain,
% 82.79/52.37 ((v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2))) <=> ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9470,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9469])).
% 82.79/52.37 tff(9471,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9470, 9468])).
% 82.79/52.37 tff(9472,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9473,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 82.79/52.37 tff(9474,plain,
% 82.79/52.37 ((~v127(constB63, 2)) | v130(constB63, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9473, 556, 9411])).
% 82.79/52.37 tff(9475,plain,
% 82.79/52.37 (~v127(constB63, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9474, 9467])).
% 82.79/52.37 tff(9476,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9477,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9478,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 82.79/52.37 tff(9479,plain,
% 82.79/52.37 (v127(constB63, 2) | (~v129(constB64, 2))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9478, 574, 9429])).
% 82.79/52.37 tff(9480,plain,
% 82.79/52.37 (~v129(constB64, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9479, 9475])).
% 82.79/52.37 tff(9481,plain,
% 82.79/52.37 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9482,plain,
% 82.79/52.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9483,plain,
% 82.79/52.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 82.79/52.37 tff(9484,plain,
% 82.79/52.37 ((~v90(constB64, 2)) | (~v100(constB64))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9483, 589, 9480])).
% 82.79/52.37 tff(9485,plain,
% 82.79/52.37 (~v90(constB64, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9484, 9463])).
% 82.79/52.37 tff(9486,plain,
% 82.79/52.37 ((~v1(constB65)) <=> (~v1(constB65))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9487,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 82.79/52.37 tff(9488,plain,
% 82.79/52.37 (~v1(constB65)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9487, 9486])).
% 82.79/52.37 tff(9489,plain,
% 82.79/52.37 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9490,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 82.79/52.37 tff(9491,plain,
% 82.79/52.37 (nextState(constB64, constB65)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 82.79/52.37 tff(9492,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9493,plain,
% 82.79/52.37 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9494,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9493])).
% 82.79/52.37 tff(9495,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9494, 9492])).
% 82.79/52.37 tff(9496,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9497,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 82.79/52.37 tff(9498,plain,
% 82.79/52.37 (~v101(constB65)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9497, 66, 9491, 9488])).
% 82.79/52.37 tff(9499,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9500,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9501,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 82.79/52.37 tff(9502,plain,
% 82.79/52.37 (v101(constB65) | (~v100(constB65))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9501, 83, 9491])).
% 82.79/52.37 tff(9503,plain,
% 82.79/52.37 (~v100(constB65)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9502, 9498])).
% 82.79/52.37 tff(9504,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9505,plain,
% 82.79/52.37 (((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))) <=> (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9506,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))))),
% 82.79/52.37 inference(monotonicity,[status(thm)],[9505])).
% 82.79/52.37 tff(9507,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 82.79/52.37 inference(transitivity,[status(thm)],[9506, 9504])).
% 82.79/52.37 tff(9508,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9509,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 82.79/52.37 tff(9510,plain,
% 82.79/52.37 (v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9509, 98, 9491])).
% 82.79/52.37 tff(9511,plain,
% 82.79/52.37 (v90(constB64, 2) | (~v90(constB65, 2))),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9510, 9503])).
% 82.79/52.37 tff(9512,plain,
% 82.79/52.37 (~v90(constB65, 2)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9511, 9485])).
% 82.79/52.37 tff(9513,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9514,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9515,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9514, 9513])).
% 82.79/52.37 tff(9516,plain,
% 82.79/52.37 (v130(constB63, 1)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9515, 804, 9368])).
% 82.79/52.37 tff(9517,plain,
% 82.79/52.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9518,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.79/52.37 tff(9519,plain,
% 82.79/52.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1)),
% 82.79/52.37 inference(modus_ponens,[status(thm)],[9518, 9517])).
% 82.79/52.37 tff(9520,plain,
% 82.79/52.37 ((~v130(constB63, 1)) | v127(constB63, 1)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9519, 818, 9411])).
% 82.79/52.37 tff(9521,plain,
% 82.79/52.37 (v127(constB63, 1)),
% 82.79/52.37 inference(unit_resolution,[status(thm)],[9520, 9516])).
% 82.79/52.37 tff(9522,plain,
% 82.79/52.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 82.79/52.37 inference(rewrite,[status(thm)],[])).
% 82.79/52.37 tff(9523,plain,
% 82.79/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 82.79/52.37 inference(quant_inst,[status(thm)],[])).
% 82.81/52.37 tff(9524,plain,
% 82.81/52.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1)),
% 82.81/52.37 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 82.81/52.37 tff(9525,plain,
% 82.81/52.37 ((~v127(constB63, 1)) | v129(constB64, 1)),
% 82.81/52.37 inference(unit_resolution,[status(thm)],[9524, 833, 9429])).
% 82.81/52.37 tff(9526,plain,
% 82.81/52.37 (v129(constB64, 1)),
% 82.81/52.37 inference(unit_resolution,[status(thm)],[9525, 9521])).
% 82.81/52.37 tff(9527,plain,
% 82.81/52.37 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 82.81/52.37 inference(rewrite,[status(thm)],[])).
% 82.81/52.37 tff(9528,plain,
% 82.81/52.37 ((v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1))) <=> (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9529,plain,
% 82.81/52.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9528])).
% 82.81/52.38 tff(9530,plain,
% 82.81/52.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9529, 9527])).
% 82.81/52.38 tff(9531,plain,
% 82.81/52.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9532,plain,
% 82.81/52.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 82.81/52.38 tff(9533,plain,
% 82.81/52.38 (v90(constB64, 1) | (~v100(constB64))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9532, 848, 9526])).
% 82.81/52.38 tff(9534,plain,
% 82.81/52.38 (v90(constB64, 1)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9533, 9463])).
% 82.81/52.38 tff(9535,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9536,plain,
% 82.81/52.38 (((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)) <=> ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9537,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9536])).
% 82.81/52.38 tff(9538,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9537, 9535])).
% 82.81/52.38 tff(9539,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9540,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 82.81/52.38 tff(9541,plain,
% 82.81/52.38 ((~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9540, 866, 9491])).
% 82.81/52.38 tff(9542,plain,
% 82.81/52.38 ((~v90(constB64, 1)) | v90(constB65, 1)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9541, 9503])).
% 82.81/52.38 tff(9543,plain,
% 82.81/52.38 (v90(constB65, 1)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9542, 9534])).
% 82.81/52.38 tff(9544,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9545,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9546,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 82.81/52.38 tff(9547,plain,
% 82.81/52.38 (~v130(constB63, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9546, 882, 9368])).
% 82.81/52.38 tff(9548,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9549,plain,
% 82.81/52.38 ((v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0))) <=> ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9550,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9549])).
% 82.81/52.38 tff(9551,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9550, 9548])).
% 82.81/52.38 tff(9552,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9553,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 82.81/52.38 tff(9554,plain,
% 82.81/52.38 ((~v127(constB63, 0)) | v130(constB63, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9553, 896, 9411])).
% 82.81/52.38 tff(9555,plain,
% 82.81/52.38 (~v127(constB63, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9554, 9547])).
% 82.81/52.38 tff(9556,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9557,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9558,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9557, 9556])).
% 82.81/52.38 tff(9559,plain,
% 82.81/52.38 (v127(constB63, 0) | (~v129(constB64, 0))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9558, 914, 9429])).
% 82.81/52.38 tff(9560,plain,
% 82.81/52.38 (~v129(constB64, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9559, 9555])).
% 82.81/52.38 tff(9561,plain,
% 82.81/52.38 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9562,plain,
% 82.81/52.38 (((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0)) <=> ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9563,plain,
% 82.81/52.38 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9562])).
% 82.81/52.38 tff(9564,plain,
% 82.81/52.38 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9563, 9561])).
% 82.81/52.38 tff(9565,plain,
% 82.81/52.38 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9566,plain,
% 82.81/52.38 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9565, 9564])).
% 82.81/52.38 tff(9567,plain,
% 82.81/52.38 ((~v90(constB64, 0)) | (~v100(constB64))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9566, 929, 9560])).
% 82.81/52.38 tff(9568,plain,
% 82.81/52.38 (~v90(constB64, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9567, 9463])).
% 82.81/52.38 tff(9569,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9570,plain,
% 82.81/52.38 (((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))) <=> (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9571,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9570])).
% 82.81/52.38 tff(9572,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9571, 9569])).
% 82.81/52.38 tff(9573,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9574,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 82.81/52.38 tff(9575,plain,
% 82.81/52.38 (v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9574, 140, 9491])).
% 82.81/52.38 tff(9576,plain,
% 82.81/52.38 (v90(constB64, 0) | (~v90(constB65, 0))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9575, 9503])).
% 82.81/52.38 tff(9577,plain,
% 82.81/52.38 (~v90(constB65, 0)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9576, 9568])).
% 82.81/52.38 tff(9578,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9579,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9580,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 82.81/52.38 tff(9581,plain,
% 82.81/52.38 (v121(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9580, 956, 9577, 9543, 9512])).
% 82.81/52.38 tff(9582,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v121(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9583,plain,
% 82.81/52.38 (((~v121(constB65)) | v117(constB65)) <=> (v117(constB65) | (~v121(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9584,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB65) | (~v121(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9583])).
% 82.81/52.38 tff(9585,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v121(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9584, 9582])).
% 82.81/52.38 tff(9586,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9587,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v121(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 82.81/52.38 tff(9588,plain,
% 82.81/52.38 (v117(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9587, 967, 9581])).
% 82.81/52.38 tff(9589,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9590,plain,
% 82.81/52.38 (((~v117(constB65)) | v116(constB65)) <=> (v116(constB65) | (~v117(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9591,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9590])).
% 82.81/52.38 tff(9592,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9591, 9589])).
% 82.81/52.38 tff(9593,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9594,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9593, 9592])).
% 82.81/52.38 tff(9595,plain,
% 82.81/52.38 (v116(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9594, 200, 9588])).
% 82.81/52.38 tff(9596,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9597,plain,
% 82.81/52.38 (((~v116(constB65)) | v115(constB65)) <=> (v115(constB65) | (~v116(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9598,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB65) | (~v116(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9597])).
% 82.81/52.38 tff(9599,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9598, 9596])).
% 82.81/52.38 tff(9600,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9601,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB65) | (~v116(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 82.81/52.38 tff(9602,plain,
% 82.81/52.38 (v115(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9601, 214, 9595])).
% 82.81/52.38 tff(9603,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9604,plain,
% 82.81/52.38 (((~v115(constB65)) | v114(constB65)) <=> (v114(constB65) | (~v115(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9605,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9604])).
% 82.81/52.38 tff(9606,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9605, 9603])).
% 82.81/52.38 tff(9607,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9608,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 82.81/52.38 tff(9609,plain,
% 82.81/52.38 (v114(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9608, 228, 9602])).
% 82.81/52.38 tff(9610,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9611,plain,
% 82.81/52.38 (((~v114(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v114(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9612,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9611])).
% 82.81/52.38 tff(9613,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9612, 9610])).
% 82.81/52.38 tff(9614,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9615,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 82.81/52.38 tff(9616,plain,
% 82.81/52.38 (v113(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9615, 242, 9609])).
% 82.81/52.38 tff(9617,assumption,(v26(constB65)), introduced(assumption)).
% 82.81/52.38 tff(9618,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9619,plain,
% 82.81/52.38 ($false),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9618, 19, 9617])).
% 82.81/52.38 tff(9620,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 82.81/52.38 tff(9621,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9622,plain,
% 82.81/52.38 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9623,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | v112(constB65) | (~v113(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9622])).
% 82.81/52.38 tff(9624,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9623, 9621])).
% 82.81/52.38 tff(9625,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9626,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9625, 9624])).
% 82.81/52.38 tff(9627,plain,
% 82.81/52.38 (v112(constB65) | (~v113(constB65))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9626, 256, 9620])).
% 82.81/52.38 tff(9628,plain,
% 82.81/52.38 (v112(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9627, 9616])).
% 82.81/52.38 tff(9629,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9630,plain,
% 82.81/52.38 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9631,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9630])).
% 82.81/52.38 tff(9632,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9631, 9629])).
% 82.81/52.38 tff(9633,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9634,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9633, 9632])).
% 82.81/52.38 tff(9635,plain,
% 82.81/52.38 (v108(constB65)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9634, 268, 9628])).
% 82.81/52.38 tff(9636,plain,
% 82.81/52.38 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9637,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 82.81/52.38 tff(9638,plain,
% 82.81/52.38 (nextState(constB65, constB66)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 82.81/52.38 tff(9639,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9640,plain,
% 82.81/52.38 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9641,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9640])).
% 82.81/52.38 tff(9642,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9641, 9639])).
% 82.81/52.38 tff(9643,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9644,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 82.81/52.38 tff(9645,plain,
% 82.81/52.38 (v110(constB66) | (~v108(constB65))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9644, 288, 9638])).
% 82.81/52.38 tff(9646,plain,
% 82.81/52.38 (v110(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9645, 9635])).
% 82.81/52.38 tff(9647,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9648,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9649,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 82.81/52.38 tff(9650,plain,
% 82.81/52.38 (~v104(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9649, 306, 9638, 9488])).
% 82.81/52.38 tff(9651,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9652,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9653,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 82.81/52.38 tff(9654,plain,
% 82.81/52.38 (v102(constB66) | v104(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9653, 320, 9638])).
% 82.81/52.38 tff(9655,plain,
% 82.81/52.38 (v102(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9654, 9650])).
% 82.81/52.38 tff(9656,plain,
% 82.81/52.38 (v1(constB66) <=> v1(constB66)),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9657,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 82.81/52.38 tff(9658,plain,
% 82.81/52.38 (v1(constB66)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9657, 9656])).
% 82.81/52.38 tff(9659,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9660,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9661,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 82.81/52.38 tff(9662,plain,
% 82.81/52.38 (v101(constB66) | (~v102(constB66))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9661, 338, 9638, 9658])).
% 82.81/52.38 tff(9663,plain,
% 82.81/52.38 (v101(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9662, 9655])).
% 82.81/52.38 tff(9664,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9665,plain,
% 82.81/52.38 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9666,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9665])).
% 82.81/52.38 tff(9667,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9666, 9664])).
% 82.81/52.38 tff(9668,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9669,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 82.81/52.38 tff(9670,plain,
% 82.81/52.38 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9669, 353, 9638])).
% 82.81/52.38 tff(9671,plain,
% 82.81/52.38 (v100(constB66) | (~v110(constB66))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9670, 9663])).
% 82.81/52.38 tff(9672,plain,
% 82.81/52.38 (v100(constB66)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9671, 9646])).
% 82.81/52.38 tff(9673,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9674,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9675,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 82.81/52.38 tff(9676,plain,
% 82.81/52.38 (~v130(constB65, 2)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9675, 1052, 9581])).
% 82.81/52.38 tff(9677,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9678,plain,
% 82.81/52.38 ((v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2))) <=> ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9679,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9678])).
% 82.81/52.38 tff(9680,plain,
% 82.81/52.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9679, 9677])).
% 82.81/52.38 tff(9681,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9682,plain,
% 82.81/52.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 82.81/52.38 tff(9683,plain,
% 82.81/52.38 ((~v127(constB65, 2)) | v130(constB65, 2)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9682, 556, 9620])).
% 82.81/52.38 tff(9684,plain,
% 82.81/52.38 (~v127(constB65, 2)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9683, 9676])).
% 82.81/52.38 tff(9685,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9686,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9687,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 82.81/52.38 tff(9688,plain,
% 82.81/52.38 (v127(constB65, 2) | (~v129(constB66, 2))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9687, 574, 9638])).
% 82.81/52.38 tff(9689,plain,
% 82.81/52.38 (~v129(constB66, 2)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9688, 9684])).
% 82.81/52.38 tff(9690,plain,
% 82.81/52.38 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9691,plain,
% 82.81/52.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9692,plain,
% 82.81/52.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 82.81/52.38 tff(9693,plain,
% 82.81/52.38 ((~v90(constB66, 2)) | (~v100(constB66))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9692, 589, 9689])).
% 82.81/52.38 tff(9694,plain,
% 82.81/52.38 (~v90(constB66, 2)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9693, 9672])).
% 82.81/52.38 tff(9695,plain,
% 82.81/52.38 ((~v1(constB67)) <=> (~v1(constB67))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9696,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 82.81/52.38 tff(9697,plain,
% 82.81/52.38 (~v1(constB67)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 82.81/52.38 tff(9698,plain,
% 82.81/52.38 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9699,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 82.81/52.38 tff(9700,plain,
% 82.81/52.38 (nextState(constB66, constB67)),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 82.81/52.38 tff(9701,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9702,plain,
% 82.81/52.38 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9703,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 82.81/52.38 inference(monotonicity,[status(thm)],[9702])).
% 82.81/52.38 tff(9704,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 82.81/52.38 inference(transitivity,[status(thm)],[9703, 9701])).
% 82.81/52.38 tff(9705,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9706,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 82.81/52.38 tff(9707,plain,
% 82.81/52.38 (~v101(constB67)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9706, 66, 9700, 9697])).
% 82.81/52.38 tff(9708,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9709,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 82.81/52.38 inference(quant_inst,[status(thm)],[])).
% 82.81/52.38 tff(9710,plain,
% 82.81/52.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 82.81/52.38 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 82.81/52.38 tff(9711,plain,
% 82.81/52.38 (v101(constB67) | (~v100(constB67))),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9710, 83, 9700])).
% 82.81/52.38 tff(9712,plain,
% 82.81/52.38 (~v100(constB67)),
% 82.81/52.38 inference(unit_resolution,[status(thm)],[9711, 9707])).
% 82.81/52.38 tff(9713,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9714,plain,
% 82.81/52.38 (((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))) <=> (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 82.81/52.38 inference(rewrite,[status(thm)],[])).
% 82.81/52.38 tff(9715,plain,
% 82.81/52.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9714])).
% 82.81/52.39 tff(9716,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9715, 9713])).
% 82.81/52.39 tff(9717,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9718,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9717, 9716])).
% 82.81/52.39 tff(9719,plain,
% 82.81/52.39 (v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9718, 98, 9700])).
% 82.81/52.39 tff(9720,plain,
% 82.81/52.39 (v90(constB66, 2) | (~v90(constB67, 2))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9719, 9712])).
% 82.81/52.39 tff(9721,plain,
% 82.81/52.39 (~v90(constB67, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9720, 9694])).
% 82.81/52.39 tff(9722,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9723,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9724,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9723, 9722])).
% 82.81/52.39 tff(9725,plain,
% 82.81/52.39 (v130(constB65, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9724, 1108, 9581])).
% 82.81/52.39 tff(9726,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9727,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9728,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 82.81/52.39 tff(9729,plain,
% 82.81/52.39 ((~v130(constB65, 1)) | v127(constB65, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9728, 818, 9620])).
% 82.81/52.39 tff(9730,plain,
% 82.81/52.39 (v127(constB65, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9729, 9725])).
% 82.81/52.39 tff(9731,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9732,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9733,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 82.81/52.39 tff(9734,plain,
% 82.81/52.39 ((~v127(constB65, 1)) | v129(constB66, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9733, 833, 9638])).
% 82.81/52.39 tff(9735,plain,
% 82.81/52.39 (v129(constB66, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9734, 9730])).
% 82.81/52.39 tff(9736,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9737,plain,
% 82.81/52.39 ((v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1))) <=> (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9738,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9737])).
% 82.81/52.39 tff(9739,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9738, 9736])).
% 82.81/52.39 tff(9740,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9741,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9740, 9739])).
% 82.81/52.39 tff(9742,plain,
% 82.81/52.39 (v90(constB66, 1) | (~v100(constB66))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9741, 848, 9735])).
% 82.81/52.39 tff(9743,plain,
% 82.81/52.39 (v90(constB66, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9742, 9672])).
% 82.81/52.39 tff(9744,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9745,plain,
% 82.81/52.39 (((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)) <=> ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9746,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9745])).
% 82.81/52.39 tff(9747,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9746, 9744])).
% 82.81/52.39 tff(9748,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9749,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9748, 9747])).
% 82.81/52.39 tff(9750,plain,
% 82.81/52.39 ((~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9749, 866, 9700])).
% 82.81/52.39 tff(9751,plain,
% 82.81/52.39 ((~v90(constB66, 1)) | v90(constB67, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9750, 9712])).
% 82.81/52.39 tff(9752,plain,
% 82.81/52.39 (v90(constB67, 1)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9751, 9743])).
% 82.81/52.39 tff(9753,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9754,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9755,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9754, 9753])).
% 82.81/52.39 tff(9756,plain,
% 82.81/52.39 (v130(constB65, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9755, 1146, 9581])).
% 82.81/52.39 tff(9757,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9758,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9759,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 82.81/52.39 tff(9760,plain,
% 82.81/52.39 ((~v130(constB65, 0)) | v127(constB65, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9759, 478, 9620])).
% 82.81/52.39 tff(9761,plain,
% 82.81/52.39 (v127(constB65, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9760, 9756])).
% 82.81/52.39 tff(9762,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9763,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9764,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 82.81/52.39 tff(9765,plain,
% 82.81/52.39 ((~v127(constB65, 0)) | v129(constB66, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9764, 493, 9638])).
% 82.81/52.39 tff(9766,plain,
% 82.81/52.39 (v129(constB66, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9765, 9761])).
% 82.81/52.39 tff(9767,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9768,plain,
% 82.81/52.39 ((v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0))) <=> (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9769,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9768])).
% 82.81/52.39 tff(9770,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9769, 9767])).
% 82.81/52.39 tff(9771,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9772,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 82.81/52.39 tff(9773,plain,
% 82.81/52.39 (v90(constB66, 0) | (~v100(constB66))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9772, 508, 9766])).
% 82.81/52.39 tff(9774,plain,
% 82.81/52.39 (v90(constB66, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9773, 9672])).
% 82.81/52.39 tff(9775,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9776,plain,
% 82.81/52.39 (((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)) <=> ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9777,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9776])).
% 82.81/52.39 tff(9778,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9777, 9775])).
% 82.81/52.39 tff(9779,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9780,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 82.81/52.39 tff(9781,plain,
% 82.81/52.39 ((~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9780, 526, 9700])).
% 82.81/52.39 tff(9782,plain,
% 82.81/52.39 ((~v90(constB66, 0)) | v90(constB67, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9781, 9712])).
% 82.81/52.39 tff(9783,plain,
% 82.81/52.39 (v90(constB67, 0)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9782, 9774])).
% 82.81/52.39 tff(9784,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9785,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9786,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9785, 9784])).
% 82.81/52.39 tff(9787,plain,
% 82.81/52.39 (v122(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9786, 1187, 9783, 9752, 9721])).
% 82.81/52.39 tff(9788,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9789,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9790,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 82.81/52.39 tff(9791,plain,
% 82.81/52.39 (v116(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9790, 1257, 9787])).
% 82.81/52.39 tff(9792,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9793,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9794,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9793, 9792])).
% 82.81/52.39 tff(9795,plain,
% 82.81/52.39 (v115(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9794, 214, 9791])).
% 82.81/52.39 tff(9796,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9797,plain,
% 82.81/52.39 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9798,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9797])).
% 82.81/52.39 tff(9799,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9798, 9796])).
% 82.81/52.39 tff(9800,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9801,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9800, 9799])).
% 82.81/52.39 tff(9802,plain,
% 82.81/52.39 (v114(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9801, 228, 9795])).
% 82.81/52.39 tff(9803,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9804,plain,
% 82.81/52.39 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9805,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9804])).
% 82.81/52.39 tff(9806,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9805, 9803])).
% 82.81/52.39 tff(9807,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9808,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9807, 9806])).
% 82.81/52.39 tff(9809,plain,
% 82.81/52.39 (v113(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9808, 242, 9802])).
% 82.81/52.39 tff(9810,assumption,(v26(constB67)), introduced(assumption)).
% 82.81/52.39 tff(9811,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9812,plain,
% 82.81/52.39 ($false),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9811, 19, 9810])).
% 82.81/52.39 tff(9813,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 82.81/52.39 tff(9814,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9815,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9816,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | (~v113(constB67)) | v112(constB67)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9815, 9814])).
% 82.81/52.39 tff(9817,plain,
% 82.81/52.39 ((~v113(constB67)) | v112(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9816, 256, 9813])).
% 82.81/52.39 tff(9818,plain,
% 82.81/52.39 (v112(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9817, 9809])).
% 82.81/52.39 tff(9819,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9820,plain,
% 82.81/52.39 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9821,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9820])).
% 82.81/52.39 tff(9822,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9821, 9819])).
% 82.81/52.39 tff(9823,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9824,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 82.81/52.39 tff(9825,plain,
% 82.81/52.39 (v108(constB67)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9824, 268, 9818])).
% 82.81/52.39 tff(9826,plain,
% 82.81/52.39 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9827,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 82.81/52.39 tff(9828,plain,
% 82.81/52.39 (nextState(constB67, constB68)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9827, 9826])).
% 82.81/52.39 tff(9829,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9830,plain,
% 82.81/52.39 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9831,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9830])).
% 82.81/52.39 tff(9832,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9831, 9829])).
% 82.81/52.39 tff(9833,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9834,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 82.81/52.39 tff(9835,plain,
% 82.81/52.39 (v110(constB68) | (~v108(constB67))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9834, 288, 9828])).
% 82.81/52.39 tff(9836,plain,
% 82.81/52.39 (v110(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9835, 9825])).
% 82.81/52.39 tff(9837,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9838,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9839,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 82.81/52.39 tff(9840,plain,
% 82.81/52.39 (~v104(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9839, 306, 9828, 9697])).
% 82.81/52.39 tff(9841,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9842,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9843,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9842, 9841])).
% 82.81/52.39 tff(9844,plain,
% 82.81/52.39 (v102(constB68) | v104(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9843, 320, 9828])).
% 82.81/52.39 tff(9845,plain,
% 82.81/52.39 (v102(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9844, 9840])).
% 82.81/52.39 tff(9846,plain,
% 82.81/52.39 (v1(constB68) <=> v1(constB68)),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9847,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 82.81/52.39 tff(9848,plain,
% 82.81/52.39 (v1(constB68)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 82.81/52.39 tff(9849,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9850,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9851,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 82.81/52.39 tff(9852,plain,
% 82.81/52.39 (v101(constB68) | (~v102(constB68))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9851, 338, 9828, 9848])).
% 82.81/52.39 tff(9853,plain,
% 82.81/52.39 (v101(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9852, 9845])).
% 82.81/52.39 tff(9854,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9855,plain,
% 82.81/52.39 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9856,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9855])).
% 82.81/52.39 tff(9857,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9856, 9854])).
% 82.81/52.39 tff(9858,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9859,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9858, 9857])).
% 82.81/52.39 tff(9860,plain,
% 82.81/52.39 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9859, 353, 9828])).
% 82.81/52.39 tff(9861,plain,
% 82.81/52.39 (v100(constB68) | (~v110(constB68))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9860, 9853])).
% 82.81/52.39 tff(9862,plain,
% 82.81/52.39 (v100(constB68)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9861, 9836])).
% 82.81/52.39 tff(9863,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9864,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9865,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 82.81/52.39 tff(9866,plain,
% 82.81/52.39 (v130(constB67, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9865, 1198, 9787])).
% 82.81/52.39 tff(9867,plain,
% 82.81/52.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9868,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9869,plain,
% 82.81/52.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 82.81/52.39 tff(9870,plain,
% 82.81/52.39 ((~v130(constB67, 2)) | v127(constB67, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9869, 1212, 9813])).
% 82.81/52.39 tff(9871,plain,
% 82.81/52.39 (v127(constB67, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9870, 9866])).
% 82.81/52.39 tff(9872,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9873,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9874,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 82.81/52.39 tff(9875,plain,
% 82.81/52.39 ((~v127(constB67, 2)) | v129(constB68, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9874, 1230, 9828])).
% 82.81/52.39 tff(9876,plain,
% 82.81/52.39 (v129(constB68, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9875, 9871])).
% 82.81/52.39 tff(9877,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9878,plain,
% 82.81/52.39 ((v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2))) <=> (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9879,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9878])).
% 82.81/52.39 tff(9880,plain,
% 82.81/52.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9879, 9877])).
% 82.81/52.39 tff(9881,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9882,plain,
% 82.81/52.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 82.81/52.39 tff(9883,plain,
% 82.81/52.39 (v90(constB68, 2) | (~v100(constB68))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9882, 1338, 9876])).
% 82.81/52.39 tff(9884,plain,
% 82.81/52.39 (v90(constB68, 2)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9883, 9862])).
% 82.81/52.39 tff(9885,plain,
% 82.81/52.39 ((~v1(constB69)) <=> (~v1(constB69))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9886,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 82.81/52.39 tff(9887,plain,
% 82.81/52.39 (~v1(constB69)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 82.81/52.39 tff(9888,plain,
% 82.81/52.39 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9889,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 82.81/52.39 tff(9890,plain,
% 82.81/52.39 (nextState(constB68, constB69)),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 82.81/52.39 tff(9891,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9892,plain,
% 82.81/52.39 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9893,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 82.81/52.39 inference(monotonicity,[status(thm)],[9892])).
% 82.81/52.39 tff(9894,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 82.81/52.39 inference(transitivity,[status(thm)],[9893, 9891])).
% 82.81/52.39 tff(9895,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9896,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 82.81/52.39 tff(9897,plain,
% 82.81/52.39 (~v101(constB69)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9896, 66, 9890, 9887])).
% 82.81/52.39 tff(9898,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9899,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 82.81/52.39 inference(quant_inst,[status(thm)],[])).
% 82.81/52.39 tff(9900,plain,
% 82.81/52.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 82.81/52.39 inference(modus_ponens,[status(thm)],[9899, 9898])).
% 82.81/52.39 tff(9901,plain,
% 82.81/52.39 (v101(constB69) | (~v100(constB69))),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9900, 83, 9890])).
% 82.81/52.39 tff(9902,plain,
% 82.81/52.39 (~v100(constB69)),
% 82.81/52.39 inference(unit_resolution,[status(thm)],[9901, 9897])).
% 82.81/52.39 tff(9903,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9904,plain,
% 82.81/52.39 (((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)) <=> ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 82.81/52.39 inference(rewrite,[status(thm)],[])).
% 82.81/52.39 tff(9905,plain,
% 82.81/52.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9904])).
% 82.81/52.40 tff(9906,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9905, 9903])).
% 82.81/52.40 tff(9907,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9908,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 82.81/52.40 tff(9909,plain,
% 82.81/52.40 ((~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9908, 1374, 9890])).
% 82.81/52.40 tff(9910,plain,
% 82.81/52.40 ((~v90(constB68, 2)) | v90(constB69, 2)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9909, 9902])).
% 82.81/52.40 tff(9911,plain,
% 82.81/52.40 (v90(constB69, 2)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9910, 9884])).
% 82.81/52.40 tff(9912,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9913,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9914,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 82.81/52.40 tff(9915,plain,
% 82.81/52.40 (~v130(constB67, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9914, 1390, 9787])).
% 82.81/52.40 tff(9916,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9917,plain,
% 82.81/52.40 ((v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1))) <=> ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9918,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9917])).
% 82.81/52.40 tff(9919,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9918, 9916])).
% 82.81/52.40 tff(9920,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9921,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 82.81/52.40 tff(9922,plain,
% 82.81/52.40 ((~v127(constB67, 1)) | v130(constB67, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9921, 383, 9813])).
% 82.81/52.40 tff(9923,plain,
% 82.81/52.40 (~v127(constB67, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9922, 9915])).
% 82.81/52.40 tff(9924,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9925,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9926,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9925, 9924])).
% 82.81/52.40 tff(9927,plain,
% 82.81/52.40 (v127(constB67, 1) | (~v129(constB68, 1))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9926, 401, 9828])).
% 82.81/52.40 tff(9928,plain,
% 82.81/52.40 (~v129(constB68, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9927, 9923])).
% 82.81/52.40 tff(9929,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9930,plain,
% 82.81/52.40 (((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1)) <=> ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9931,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9930])).
% 82.81/52.40 tff(9932,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9931, 9929])).
% 82.81/52.40 tff(9933,plain,
% 82.81/52.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9934,plain,
% 82.81/52.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 82.81/52.40 tff(9935,plain,
% 82.81/52.40 ((~v90(constB68, 1)) | (~v100(constB68))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9934, 416, 9928])).
% 82.81/52.40 tff(9936,plain,
% 82.81/52.40 (~v90(constB68, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9935, 9862])).
% 82.81/52.40 tff(9937,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9938,plain,
% 82.81/52.40 (((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))) <=> (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9939,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9938])).
% 82.81/52.40 tff(9940,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9939, 9937])).
% 82.81/52.40 tff(9941,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9942,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 82.81/52.40 tff(9943,plain,
% 82.81/52.40 (v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9942, 119, 9890])).
% 82.81/52.40 tff(9944,plain,
% 82.81/52.40 (v90(constB68, 1) | (~v90(constB69, 1))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9943, 9902])).
% 82.81/52.40 tff(9945,plain,
% 82.81/52.40 (~v90(constB69, 1)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9944, 9936])).
% 82.81/52.40 tff(9946,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9947,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9948,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9947, 9946])).
% 82.81/52.40 tff(9949,plain,
% 82.81/52.40 (~v130(constB67, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9948, 1431, 9787])).
% 82.81/52.40 tff(9950,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9951,plain,
% 82.81/52.40 ((v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0))) <=> ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9952,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9951])).
% 82.81/52.40 tff(9953,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9952, 9950])).
% 82.81/52.40 tff(9954,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9955,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 82.81/52.40 tff(9956,plain,
% 82.81/52.40 ((~v127(constB67, 0)) | v130(constB67, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9955, 896, 9813])).
% 82.81/52.40 tff(9957,plain,
% 82.81/52.40 (~v127(constB67, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9956, 9949])).
% 82.81/52.40 tff(9958,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9959,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9960,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9959, 9958])).
% 82.81/52.40 tff(9961,plain,
% 82.81/52.40 (v127(constB67, 0) | (~v129(constB68, 0))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9960, 914, 9828])).
% 82.81/52.40 tff(9962,plain,
% 82.81/52.40 (~v129(constB68, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9961, 9957])).
% 82.81/52.40 tff(9963,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9964,plain,
% 82.81/52.40 (((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0)) <=> ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9965,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9964])).
% 82.81/52.40 tff(9966,plain,
% 82.81/52.40 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9965, 9963])).
% 82.81/52.40 tff(9967,plain,
% 82.81/52.40 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9968,plain,
% 82.81/52.40 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9967, 9966])).
% 82.81/52.40 tff(9969,plain,
% 82.81/52.40 ((~v90(constB68, 0)) | (~v100(constB68))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9968, 929, 9962])).
% 82.81/52.40 tff(9970,plain,
% 82.81/52.40 (~v90(constB68, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9969, 9862])).
% 82.81/52.40 tff(9971,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9972,plain,
% 82.81/52.40 (((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))) <=> (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9973,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9972])).
% 82.81/52.40 tff(9974,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9973, 9971])).
% 82.81/52.40 tff(9975,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9976,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 82.81/52.40 tff(9977,plain,
% 82.81/52.40 (v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9976, 140, 9890])).
% 82.81/52.40 tff(9978,plain,
% 82.81/52.40 (v90(constB68, 0) | (~v90(constB69, 0))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9977, 9902])).
% 82.81/52.40 tff(9979,plain,
% 82.81/52.40 (~v90(constB69, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9978, 9970])).
% 82.81/52.40 tff(9980,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9981,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9982,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9981, 9980])).
% 82.81/52.40 tff(9983,plain,
% 82.81/52.40 (v123(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9982, 1475, 9979, 9945, 9911])).
% 82.81/52.40 tff(9984,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9985,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9986,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 82.81/52.40 tff(9987,plain,
% 82.81/52.40 (v115(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9986, 1486, 9983])).
% 82.81/52.40 tff(9988,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9989,plain,
% 82.81/52.40 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9990,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[9989])).
% 82.81/52.40 tff(9991,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[9990, 9988])).
% 82.81/52.40 tff(9992,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9993,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9992, 9991])).
% 82.81/52.40 tff(9994,plain,
% 82.81/52.40 (v114(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9993, 228, 9987])).
% 82.81/52.40 tff(9995,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB69)) | v113(constB69))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(9996,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(9997,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB69)) | v113(constB69)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 82.81/52.40 tff(9998,plain,
% 82.81/52.40 (v113(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[9997, 242, 9994])).
% 82.81/52.40 tff(9999,assumption,(v26(constB69)), introduced(assumption)).
% 82.81/52.40 tff(10000,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10001,plain,
% 82.81/52.40 ($false),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10000, 19, 9999])).
% 82.81/52.40 tff(10002,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 82.81/52.40 tff(10003,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10004,plain,
% 82.81/52.40 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10005,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10004])).
% 82.81/52.40 tff(10006,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10005, 10003])).
% 82.81/52.40 tff(10007,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10008,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10007, 10006])).
% 82.81/52.40 tff(10009,plain,
% 82.81/52.40 (v112(constB69) | (~v113(constB69))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10008, 256, 10002])).
% 82.81/52.40 tff(10010,plain,
% 82.81/52.40 (v112(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10009, 9998])).
% 82.81/52.40 tff(10011,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10012,plain,
% 82.81/52.40 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10013,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10012])).
% 82.81/52.40 tff(10014,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10013, 10011])).
% 82.81/52.40 tff(10015,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10016,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10015, 10014])).
% 82.81/52.40 tff(10017,plain,
% 82.81/52.40 (v108(constB69)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10016, 268, 10010])).
% 82.81/52.40 tff(10018,plain,
% 82.81/52.40 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10019,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 82.81/52.40 tff(10020,plain,
% 82.81/52.40 (nextState(constB69, constB70)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 82.81/52.40 tff(10021,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10022,plain,
% 82.81/52.40 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10023,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10022])).
% 82.81/52.40 tff(10024,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10023, 10021])).
% 82.81/52.40 tff(10025,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10026,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 82.81/52.40 tff(10027,plain,
% 82.81/52.40 (v110(constB70) | (~v108(constB69))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10026, 288, 10020])).
% 82.81/52.40 tff(10028,plain,
% 82.81/52.40 (v110(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10027, 10017])).
% 82.81/52.40 tff(10029,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10030,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10031,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 82.81/52.40 tff(10032,plain,
% 82.81/52.40 (~v104(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10031, 306, 10020, 9887])).
% 82.81/52.40 tff(10033,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10034,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10035,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 82.81/52.40 tff(10036,plain,
% 82.81/52.40 (v102(constB70) | v104(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10035, 320, 10020])).
% 82.81/52.40 tff(10037,plain,
% 82.81/52.40 (v102(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10036, 10032])).
% 82.81/52.40 tff(10038,plain,
% 82.81/52.40 (v1(constB70) <=> v1(constB70)),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10039,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 82.81/52.40 tff(10040,plain,
% 82.81/52.40 (v1(constB70)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10039, 10038])).
% 82.81/52.40 tff(10041,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10042,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10043,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 82.81/52.40 tff(10044,plain,
% 82.81/52.40 (v101(constB70) | (~v102(constB70))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10043, 338, 10020, 10040])).
% 82.81/52.40 tff(10045,plain,
% 82.81/52.40 (v101(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10044, 10037])).
% 82.81/52.40 tff(10046,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10047,plain,
% 82.81/52.40 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10048,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10047])).
% 82.81/52.40 tff(10049,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10048, 10046])).
% 82.81/52.40 tff(10050,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10051,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 82.81/52.40 tff(10052,plain,
% 82.81/52.40 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10051, 353, 10020])).
% 82.81/52.40 tff(10053,plain,
% 82.81/52.40 (v100(constB70) | (~v110(constB70))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10052, 10045])).
% 82.81/52.40 tff(10054,plain,
% 82.81/52.40 (v100(constB70)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10053, 10028])).
% 82.81/52.40 tff(10055,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10056,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10057,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 82.81/52.40 tff(10058,plain,
% 82.81/52.40 (v130(constB69, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10057, 1664, 9983])).
% 82.81/52.40 tff(10059,plain,
% 82.81/52.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10060,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10061,plain,
% 82.81/52.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10060, 10059])).
% 82.81/52.40 tff(10062,plain,
% 82.81/52.40 ((~v130(constB69, 0)) | v127(constB69, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10061, 478, 10002])).
% 82.81/52.40 tff(10063,plain,
% 82.81/52.40 (v127(constB69, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10062, 10058])).
% 82.81/52.40 tff(10064,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10065,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10066,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 82.81/52.40 tff(10067,plain,
% 82.81/52.40 ((~v127(constB69, 0)) | v129(constB70, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10066, 493, 10020])).
% 82.81/52.40 tff(10068,plain,
% 82.81/52.40 (v129(constB70, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10067, 10063])).
% 82.81/52.40 tff(10069,plain,
% 82.81/52.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10070,plain,
% 82.81/52.40 ((v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0))) <=> (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10071,plain,
% 82.81/52.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10070])).
% 82.81/52.40 tff(10072,plain,
% 82.81/52.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10071, 10069])).
% 82.81/52.40 tff(10073,plain,
% 82.81/52.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10074,plain,
% 82.81/52.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10073, 10072])).
% 82.81/52.40 tff(10075,plain,
% 82.81/52.40 (v90(constB70, 0) | (~v100(constB70))),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10074, 508, 10068])).
% 82.81/52.40 tff(10076,plain,
% 82.81/52.40 (v90(constB70, 0)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10075, 10054])).
% 82.81/52.40 tff(10077,plain,
% 82.81/52.40 ((~v1(constB71)) <=> (~v1(constB71))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10078,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 82.81/52.40 tff(10079,plain,
% 82.81/52.40 (~v1(constB71)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10078, 10077])).
% 82.81/52.40 tff(10080,plain,
% 82.81/52.40 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10081,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 82.81/52.40 tff(10082,plain,
% 82.81/52.40 (nextState(constB70, constB71)),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 82.81/52.40 tff(10083,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10084,plain,
% 82.81/52.40 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 82.81/52.40 inference(rewrite,[status(thm)],[])).
% 82.81/52.40 tff(10085,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 82.81/52.40 inference(monotonicity,[status(thm)],[10084])).
% 82.81/52.40 tff(10086,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 82.81/52.40 inference(transitivity,[status(thm)],[10085, 10083])).
% 82.81/52.40 tff(10087,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 82.81/52.40 inference(quant_inst,[status(thm)],[])).
% 82.81/52.40 tff(10088,plain,
% 82.81/52.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 82.81/52.40 inference(modus_ponens,[status(thm)],[10087, 10086])).
% 82.81/52.40 tff(10089,plain,
% 82.81/52.40 (~v101(constB71)),
% 82.81/52.40 inference(unit_resolution,[status(thm)],[10088, 66, 10082, 10079])).
% 82.81/52.40 tff(10090,plain,
% 82.81/52.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10091,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10092,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10091, 10090])).
% 82.81/52.41 tff(10093,plain,
% 82.81/52.41 (v101(constB71) | (~v100(constB71))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10092, 83, 10082])).
% 82.81/52.41 tff(10094,plain,
% 82.81/52.41 (~v100(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10093, 10089])).
% 82.81/52.41 tff(10095,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10096,plain,
% 82.81/52.41 (((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)) <=> ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10097,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10096])).
% 82.81/52.41 tff(10098,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10097, 10095])).
% 82.81/52.41 tff(10099,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10100,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 82.81/52.41 tff(10101,plain,
% 82.81/52.41 ((~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10100, 526, 10082])).
% 82.81/52.41 tff(10102,plain,
% 82.81/52.41 ((~v90(constB70, 0)) | v90(constB71, 0)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10101, 10094])).
% 82.81/52.41 tff(10103,plain,
% 82.81/52.41 (v90(constB71, 0)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10102, 10076])).
% 82.81/52.41 tff(10104,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10105,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10106,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10105, 10104])).
% 82.81/52.41 tff(10107,plain,
% 82.81/52.41 (~v130(constB69, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10106, 1623, 9983])).
% 82.81/52.41 tff(10108,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10109,plain,
% 82.81/52.41 ((v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1))) <=> ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10110,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10109])).
% 82.81/52.41 tff(10111,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10110, 10108])).
% 82.81/52.41 tff(10112,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10113,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 82.81/52.41 tff(10114,plain,
% 82.81/52.41 ((~v127(constB69, 1)) | v130(constB69, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10113, 383, 10002])).
% 82.81/52.41 tff(10115,plain,
% 82.81/52.41 (~v127(constB69, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10114, 10107])).
% 82.81/52.41 tff(10116,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10117,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10118,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 82.81/52.41 tff(10119,plain,
% 82.81/52.41 (v127(constB69, 1) | (~v129(constB70, 1))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10118, 401, 10020])).
% 82.81/52.41 tff(10120,plain,
% 82.81/52.41 (~v129(constB70, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10119, 10115])).
% 82.81/52.41 tff(10121,plain,
% 82.81/52.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10122,plain,
% 82.81/52.41 (((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1)) <=> ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10123,plain,
% 82.81/52.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10122])).
% 82.81/52.41 tff(10124,plain,
% 82.81/52.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10123, 10121])).
% 82.81/52.41 tff(10125,plain,
% 82.81/52.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10126,plain,
% 82.81/52.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 82.81/52.41 tff(10127,plain,
% 82.81/52.41 ((~v90(constB70, 1)) | (~v100(constB70))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10126, 416, 10120])).
% 82.81/52.41 tff(10128,plain,
% 82.81/52.41 (~v90(constB70, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10127, 10054])).
% 82.81/52.41 tff(10129,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10130,plain,
% 82.81/52.41 (((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))) <=> (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10131,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10130])).
% 82.81/52.41 tff(10132,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10131, 10129])).
% 82.81/52.41 tff(10133,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10134,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 82.81/52.41 tff(10135,plain,
% 82.81/52.41 (v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10134, 119, 10082])).
% 82.81/52.41 tff(10136,plain,
% 82.81/52.41 (v90(constB70, 1) | (~v90(constB71, 1))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10135, 10094])).
% 82.81/52.41 tff(10137,plain,
% 82.81/52.41 (~v90(constB71, 1)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10136, 10128])).
% 82.81/52.41 tff(10138,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10139,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10140,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 82.81/52.41 tff(10141,plain,
% 82.81/52.41 (v130(constB69, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10140, 1567, 9983])).
% 82.81/52.41 tff(10142,assumption,(~v26(constB69)), introduced(assumption)).
% 82.81/52.41 tff(10143,assumption,(v113(constB69)), introduced(assumption)).
% 82.81/52.41 tff(10144,plain,
% 82.81/52.41 (v26(constB69) | v112(constB69)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10008, 256, 10143])).
% 82.81/52.41 tff(10145,plain,
% 82.81/52.41 (v112(constB69)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10144, 10142])).
% 82.81/52.41 tff(10146,assumption,(v130(constB69, 2)), introduced(assumption)).
% 82.81/52.41 tff(10147,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10148,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10149,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 82.81/52.41 tff(10150,plain,
% 82.81/52.41 (v26(constB69) | v127(constB69, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10149, 1212, 10146])).
% 82.81/52.41 tff(10151,plain,
% 82.81/52.41 (v127(constB69, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10150, 10142])).
% 82.81/52.41 tff(10152,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10153,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10154,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10153, 10152])).
% 82.81/52.41 tff(10155,plain,
% 82.81/52.41 ((~v127(constB69, 2)) | v129(constB70, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10154, 1230, 10020])).
% 82.81/52.41 tff(10156,plain,
% 82.81/52.41 (v129(constB70, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10155, 10151])).
% 82.81/52.41 tff(10157,assumption,(~v90(constB70, 2)), introduced(assumption)).
% 82.81/52.41 tff(10158,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10159,plain,
% 82.81/52.41 ((v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2))) <=> (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10160,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10159])).
% 82.81/52.41 tff(10161,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10160, 10158])).
% 82.81/52.41 tff(10162,plain,
% 82.81/52.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10163,plain,
% 82.81/52.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10162, 10161])).
% 82.81/52.41 tff(10164,plain,
% 82.81/52.41 ((~v129(constB70, 2)) | (~v100(constB70))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10163, 1338, 10157])).
% 82.81/52.41 tff(10165,plain,
% 82.81/52.41 (~v100(constB70)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10164, 10156])).
% 82.81/52.41 tff(10166,plain,
% 82.81/52.41 (~v110(constB70)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10053, 10165])).
% 82.81/52.41 tff(10167,plain,
% 82.81/52.41 (~v108(constB69)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10027, 10166])).
% 82.81/52.41 tff(10168,plain,
% 82.81/52.41 ($false),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10016, 268, 10167, 10145])).
% 82.81/52.41 tff(10169,plain,(v26(constB69) | v90(constB70, 2) | (~v113(constB69)) | (~v130(constB69, 2))), inference(lemma,lemma(discharge,[]))).
% 82.81/52.41 tff(10170,plain,
% 82.81/52.41 (v90(constB70, 2) | (~v113(constB69)) | (~v130(constB69, 2))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10169, 10002])).
% 82.81/52.41 tff(10171,plain,
% 82.81/52.41 (v90(constB70, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10170, 9998, 10141])).
% 82.81/52.41 tff(10172,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10173,plain,
% 82.81/52.41 (((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)) <=> ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10174,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10173])).
% 82.81/52.41 tff(10175,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10174, 10172])).
% 82.81/52.41 tff(10176,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10177,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 82.81/52.41 tff(10178,plain,
% 82.81/52.41 ((~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10177, 1374, 10082])).
% 82.81/52.41 tff(10179,plain,
% 82.81/52.41 ((~v90(constB70, 2)) | v90(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10178, 10094])).
% 82.81/52.41 tff(10180,plain,
% 82.81/52.41 (v90(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10179, 10171])).
% 82.81/52.41 tff(10181,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10182,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10183,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 82.81/52.41 tff(10184,plain,
% 82.81/52.41 ((~v90(constB71, 0)) | v90(constB71, 1) | v124(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10183, 1705, 10180])).
% 82.81/52.41 tff(10185,plain,
% 82.81/52.41 (v124(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10184, 10137, 10103])).
% 82.81/52.41 tff(10186,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10187,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10188,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB71)) | v114(constB71)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 82.81/52.41 tff(10189,plain,
% 82.81/52.41 (v114(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10188, 1741, 10185])).
% 82.81/52.41 tff(10190,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10191,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10192,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB71)) | v113(constB71)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 82.81/52.41 tff(10193,plain,
% 82.81/52.41 (v113(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10192, 242, 10189])).
% 82.81/52.41 tff(10194,assumption,(v26(constB71)), introduced(assumption)).
% 82.81/52.41 tff(10195,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10196,plain,
% 82.81/52.41 ($false),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10195, 19, 10194])).
% 82.81/52.41 tff(10197,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 82.81/52.41 tff(10198,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10199,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10200,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10199, 10198])).
% 82.81/52.41 tff(10201,plain,
% 82.81/52.41 ((~v113(constB71)) | v112(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10200, 256, 10197])).
% 82.81/52.41 tff(10202,plain,
% 82.81/52.41 (v112(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10201, 10193])).
% 82.81/52.41 tff(10203,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10204,plain,
% 82.81/52.41 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10205,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10204])).
% 82.81/52.41 tff(10206,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10205, 10203])).
% 82.81/52.41 tff(10207,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10208,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 82.81/52.41 tff(10209,plain,
% 82.81/52.41 (v108(constB71)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10208, 268, 10202])).
% 82.81/52.41 tff(10210,plain,
% 82.81/52.41 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10211,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 82.81/52.41 tff(10212,plain,
% 82.81/52.41 (nextState(constB71, constB72)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 82.81/52.41 tff(10213,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10214,plain,
% 82.81/52.41 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10215,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10214])).
% 82.81/52.41 tff(10216,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10215, 10213])).
% 82.81/52.41 tff(10217,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10218,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 82.81/52.41 tff(10219,plain,
% 82.81/52.41 (v110(constB72) | (~v108(constB71))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10218, 288, 10212])).
% 82.81/52.41 tff(10220,plain,
% 82.81/52.41 (v110(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10219, 10209])).
% 82.81/52.41 tff(10221,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10222,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10223,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 82.81/52.41 tff(10224,plain,
% 82.81/52.41 (~v104(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10223, 306, 10212, 10079])).
% 82.81/52.41 tff(10225,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10226,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10227,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 82.81/52.41 tff(10228,plain,
% 82.81/52.41 (v102(constB72) | v104(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10227, 320, 10212])).
% 82.81/52.41 tff(10229,plain,
% 82.81/52.41 (v102(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10228, 10224])).
% 82.81/52.41 tff(10230,plain,
% 82.81/52.41 (v1(constB72) <=> v1(constB72)),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10231,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 82.81/52.41 tff(10232,plain,
% 82.81/52.41 (v1(constB72)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 82.81/52.41 tff(10233,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10234,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10235,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 82.81/52.41 tff(10236,plain,
% 82.81/52.41 (v101(constB72) | (~v102(constB72))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10235, 338, 10212, 10232])).
% 82.81/52.41 tff(10237,plain,
% 82.81/52.41 (v101(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10236, 10229])).
% 82.81/52.41 tff(10238,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10239,plain,
% 82.81/52.41 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10240,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10239])).
% 82.81/52.41 tff(10241,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10240, 10238])).
% 82.81/52.41 tff(10242,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10243,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 82.81/52.41 tff(10244,plain,
% 82.81/52.41 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10243, 353, 10212])).
% 82.81/52.41 tff(10245,plain,
% 82.81/52.41 (v100(constB72) | (~v110(constB72))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10244, 10237])).
% 82.81/52.41 tff(10246,plain,
% 82.81/52.41 (v100(constB72)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10245, 10220])).
% 82.81/52.41 tff(10247,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10248,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10249,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 82.81/52.41 tff(10250,plain,
% 82.81/52.41 (v130(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10249, 1716, 10185])).
% 82.81/52.41 tff(10251,plain,
% 82.81/52.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10252,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10253,plain,
% 82.81/52.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 82.81/52.41 tff(10254,plain,
% 82.81/52.41 ((~v130(constB71, 2)) | v127(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10253, 1212, 10197])).
% 82.81/52.41 tff(10255,plain,
% 82.81/52.41 (v127(constB71, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10254, 10250])).
% 82.81/52.41 tff(10256,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10257,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10258,plain,
% 82.81/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 82.81/52.41 tff(10259,plain,
% 82.81/52.41 ((~v127(constB71, 2)) | v129(constB72, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10258, 1230, 10212])).
% 82.81/52.41 tff(10260,plain,
% 82.81/52.41 (v129(constB72, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10259, 10255])).
% 82.81/52.41 tff(10261,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10262,plain,
% 82.81/52.41 ((v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2))) <=> (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10263,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10262])).
% 82.81/52.41 tff(10264,plain,
% 82.81/52.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 82.81/52.41 inference(transitivity,[status(thm)],[10263, 10261])).
% 82.81/52.41 tff(10265,plain,
% 82.81/52.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))),
% 82.81/52.41 inference(quant_inst,[status(thm)],[])).
% 82.81/52.41 tff(10266,plain,
% 82.81/52.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10265, 10264])).
% 82.81/52.41 tff(10267,plain,
% 82.81/52.41 (v90(constB72, 2) | (~v100(constB72))),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10266, 1338, 10260])).
% 82.81/52.41 tff(10268,plain,
% 82.81/52.41 (v90(constB72, 2)),
% 82.81/52.41 inference(unit_resolution,[status(thm)],[10267, 10246])).
% 82.81/52.41 tff(10269,plain,
% 82.81/52.41 ((~v1(constB73)) <=> (~v1(constB73))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10270,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 82.81/52.41 tff(10271,plain,
% 82.81/52.41 (~v1(constB73)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 82.81/52.41 tff(10272,plain,
% 82.81/52.41 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10273,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 82.81/52.41 tff(10274,plain,
% 82.81/52.41 (nextState(constB72, constB73)),
% 82.81/52.41 inference(modus_ponens,[status(thm)],[10273, 10272])).
% 82.81/52.41 tff(10275,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10276,plain,
% 82.81/52.41 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 82.81/52.41 inference(rewrite,[status(thm)],[])).
% 82.81/52.41 tff(10277,plain,
% 82.81/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 82.81/52.41 inference(monotonicity,[status(thm)],[10276])).
% 82.85/52.41 tff(10278,plain,
% 82.85/52.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 82.85/52.41 inference(transitivity,[status(thm)],[10277, 10275])).
% 82.85/52.41 tff(10279,plain,
% 82.85/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 82.85/52.41 inference(quant_inst,[status(thm)],[])).
% 82.85/52.41 tff(10280,plain,
% 82.85/52.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 82.85/52.41 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 82.85/52.41 tff(10281,plain,
% 82.85/52.41 (~v101(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10280, 66, 10274, 10271])).
% 82.85/52.42 tff(10282,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10283,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10284,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 82.85/52.42 tff(10285,plain,
% 82.85/52.42 (v101(constB73) | (~v100(constB73))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10284, 83, 10274])).
% 82.85/52.42 tff(10286,plain,
% 82.85/52.42 (~v100(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10285, 10281])).
% 82.85/52.42 tff(10287,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10288,plain,
% 82.85/52.42 (((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)) <=> ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10289,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10288])).
% 82.85/52.42 tff(10290,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10289, 10287])).
% 82.85/52.42 tff(10291,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10292,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 82.85/52.42 tff(10293,plain,
% 82.85/52.42 ((~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10292, 1374, 10274])).
% 82.85/52.42 tff(10294,plain,
% 82.85/52.42 ((~v90(constB72, 2)) | v90(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10293, 10286])).
% 82.85/52.42 tff(10295,plain,
% 82.85/52.42 (v90(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10294, 10268])).
% 82.85/52.42 tff(10296,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10297,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10298,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10297, 10296])).
% 82.85/52.42 tff(10299,plain,
% 82.85/52.42 (~v121(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10298, 2017, 10295])).
% 82.85/52.42 tff(10300,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10301,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10302,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 82.85/52.42 tff(10303,plain,
% 82.85/52.42 (~v122(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10302, 2006, 10295])).
% 82.85/52.42 tff(10304,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10305,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10306,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 82.85/52.42 tff(10307,plain,
% 82.85/52.42 (v130(constB71, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10306, 1767, 10185])).
% 82.85/52.42 tff(10308,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10309,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10310,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 82.85/52.42 tff(10311,plain,
% 82.85/52.42 ((~v130(constB71, 1)) | v127(constB71, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10310, 818, 10197])).
% 82.85/52.42 tff(10312,plain,
% 82.85/52.42 (v127(constB71, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10311, 10307])).
% 82.85/52.42 tff(10313,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10314,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10315,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 82.85/52.42 tff(10316,plain,
% 82.85/52.42 ((~v127(constB71, 1)) | v129(constB72, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10315, 833, 10212])).
% 82.85/52.42 tff(10317,plain,
% 82.85/52.42 (v129(constB72, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10316, 10312])).
% 82.85/52.42 tff(10318,plain,
% 82.85/52.42 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10319,plain,
% 82.85/52.42 ((v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1))) <=> (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10320,plain,
% 82.85/52.42 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10319])).
% 82.85/52.42 tff(10321,plain,
% 82.85/52.42 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10320, 10318])).
% 82.85/52.42 tff(10322,plain,
% 82.85/52.42 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10323,plain,
% 82.85/52.42 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 82.85/52.42 tff(10324,plain,
% 82.85/52.42 (v90(constB72, 1) | (~v100(constB72))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10323, 848, 10317])).
% 82.85/52.42 tff(10325,plain,
% 82.85/52.42 (v90(constB72, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10324, 10246])).
% 82.85/52.42 tff(10326,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10327,plain,
% 82.85/52.42 (((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)) <=> ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10328,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10327])).
% 82.85/52.42 tff(10329,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10328, 10326])).
% 82.85/52.42 tff(10330,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10331,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 82.85/52.42 tff(10332,plain,
% 82.85/52.42 ((~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10331, 866, 10274])).
% 82.85/52.42 tff(10333,plain,
% 82.85/52.42 ((~v90(constB72, 1)) | v90(constB73, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10332, 10286])).
% 82.85/52.42 tff(10334,plain,
% 82.85/52.42 (v90(constB73, 1)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10333, 10325])).
% 82.85/52.42 tff(10335,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10336,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10337,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 82.85/52.42 tff(10338,plain,
% 82.85/52.42 (~v123(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10337, 2050, 10334])).
% 82.85/52.42 tff(10339,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10340,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10341,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 82.85/52.42 tff(10342,plain,
% 82.85/52.42 (~v124(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10341, 2061, 10334])).
% 82.85/52.42 tff(10343,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10344,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10345,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10344, 10343])).
% 82.85/52.42 tff(10346,plain,
% 82.85/52.42 (~v120(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10345, 2039, 10334])).
% 82.85/52.42 tff(10347,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10348,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10349,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 82.85/52.42 tff(10350,plain,
% 82.85/52.42 (~v119(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10349, 2028, 10334])).
% 82.85/52.42 tff(10351,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10352,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10353,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10352, 10351])).
% 82.85/52.42 tff(10354,plain,
% 82.85/52.42 (~v130(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10353, 2075, 10350, 10346, 10342, 10338, 10303, 10299])).
% 82.85/52.42 tff(10355,assumption,(v26(constB73)), introduced(assumption)).
% 82.85/52.42 tff(10356,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10357,plain,
% 82.85/52.42 ($false),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10356, 19, 10355])).
% 82.85/52.42 tff(10358,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 82.85/52.42 tff(10359,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10360,plain,
% 82.85/52.42 ((v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2))) <=> ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10361,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10360])).
% 82.85/52.42 tff(10362,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10361, 10359])).
% 82.85/52.42 tff(10363,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10364,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 82.85/52.42 tff(10365,plain,
% 82.85/52.42 ((~v127(constB73, 2)) | v130(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10364, 556, 10358])).
% 82.85/52.42 tff(10366,plain,
% 82.85/52.42 (~v127(constB73, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10365, 10354])).
% 82.85/52.42 tff(10367,plain,
% 82.85/52.42 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10368,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 82.85/52.42 tff(10369,plain,
% 82.85/52.42 (nextState(constB73, constB74)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 82.85/52.42 tff(10370,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10371,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10372,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 82.85/52.42 tff(10373,plain,
% 82.85/52.42 (v127(constB73, 2) | (~v129(constB74, 2))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10372, 574, 10369])).
% 82.85/52.42 tff(10374,plain,
% 82.85/52.42 (~v129(constB74, 2)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10373, 10366])).
% 82.85/52.42 tff(10375,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10376,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10377,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 82.85/52.42 tff(10378,plain,
% 82.85/52.42 (~v130(constB71, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10377, 1882, 10185])).
% 82.85/52.42 tff(10379,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10380,plain,
% 82.85/52.42 ((v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0))) <=> ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10381,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10380])).
% 82.85/52.42 tff(10382,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10381, 10379])).
% 82.85/52.42 tff(10383,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10384,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10383, 10382])).
% 82.85/52.42 tff(10385,plain,
% 82.85/52.42 ((~v127(constB71, 0)) | v130(constB71, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10384, 896, 10197])).
% 82.85/52.42 tff(10386,plain,
% 82.85/52.42 (~v127(constB71, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10385, 10378])).
% 82.85/52.42 tff(10387,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10388,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10389,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10388, 10387])).
% 82.85/52.42 tff(10390,plain,
% 82.85/52.42 (v127(constB71, 0) | (~v129(constB72, 0))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10389, 914, 10212])).
% 82.85/52.42 tff(10391,plain,
% 82.85/52.42 (~v129(constB72, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10390, 10386])).
% 82.85/52.42 tff(10392,plain,
% 82.85/52.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10393,plain,
% 82.85/52.42 (((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0)) <=> ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10394,plain,
% 82.85/52.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10393])).
% 82.85/52.42 tff(10395,plain,
% 82.85/52.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10394, 10392])).
% 82.85/52.42 tff(10396,plain,
% 82.85/52.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10397,plain,
% 82.85/52.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 82.85/52.42 tff(10398,plain,
% 82.85/52.42 ((~v90(constB72, 0)) | (~v100(constB72))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10397, 929, 10391])).
% 82.85/52.42 tff(10399,plain,
% 82.85/52.42 (~v90(constB72, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10398, 10246])).
% 82.85/52.42 tff(10400,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10401,plain,
% 82.85/52.42 (((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))) <=> (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10402,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10401])).
% 82.85/52.42 tff(10403,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10402, 10400])).
% 82.85/52.42 tff(10404,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10405,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 82.85/52.42 tff(10406,plain,
% 82.85/52.42 (v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10405, 140, 10274])).
% 82.85/52.42 tff(10407,plain,
% 82.85/52.42 (v90(constB72, 0) | (~v90(constB73, 0))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10406, 10286])).
% 82.85/52.42 tff(10408,plain,
% 82.85/52.42 (~v90(constB73, 0)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10407, 10399])).
% 82.85/52.42 tff(10409,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10410,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10411,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 82.85/52.42 tff(10412,plain,
% 82.85/52.42 (v125(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10411, 1934, 10408, 10334, 10295])).
% 82.85/52.42 tff(10413,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB73)) | v113(constB73))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10414,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10415,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB73)) | v113(constB73)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10414, 10413])).
% 82.85/52.42 tff(10416,plain,
% 82.85/52.42 (v113(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10415, 1946, 10412])).
% 82.85/52.42 tff(10417,assumption,(~v108(constB73)), introduced(assumption)).
% 82.85/52.42 tff(10418,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10419,plain,
% 82.85/52.42 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10420,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10419])).
% 82.85/52.42 tff(10421,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10420, 10418])).
% 82.85/52.42 tff(10422,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10423,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 82.85/52.42 tff(10424,plain,
% 82.85/52.42 (~v112(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10423, 268, 10417])).
% 82.85/52.42 tff(10425,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v26(constB73)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10426,plain,
% 82.85/52.42 (((~v26(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v26(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10427,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v26(constB73))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10426])).
% 82.85/52.42 tff(10428,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10427, 10425])).
% 82.85/52.42 tff(10429,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10430,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 82.85/52.42 tff(10431,plain,
% 82.85/52.42 (~v26(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10430, 685, 10417])).
% 82.85/52.42 tff(10432,assumption,(v113(constB73)), introduced(assumption)).
% 82.85/52.42 tff(10433,plain,
% 82.85/52.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10434,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10435,plain,
% 82.85/52.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 82.85/52.42 tff(10436,plain,
% 82.85/52.42 (v26(constB73) | v112(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10435, 256, 10432])).
% 82.85/52.42 tff(10437,plain,
% 82.85/52.42 ($false),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10436, 10431, 10424])).
% 82.85/52.42 tff(10438,plain,(v108(constB73) | (~v113(constB73))), inference(lemma,lemma(discharge,[]))).
% 82.85/52.42 tff(10439,plain,
% 82.85/52.42 (v108(constB73)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10438, 10416])).
% 82.85/52.42 tff(10440,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10441,plain,
% 82.85/52.42 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10442,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10441])).
% 82.85/52.42 tff(10443,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 82.85/52.42 inference(transitivity,[status(thm)],[10442, 10440])).
% 82.85/52.42 tff(10444,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10445,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10444, 10443])).
% 82.85/52.42 tff(10446,plain,
% 82.85/52.42 (v110(constB74) | (~v108(constB73))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10445, 288, 10369])).
% 82.85/52.42 tff(10447,plain,
% 82.85/52.42 (v110(constB74)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10446, 10439])).
% 82.85/52.42 tff(10448,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10449,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10450,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10449, 10448])).
% 82.85/52.42 tff(10451,plain,
% 82.85/52.42 (~v104(constB74)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10450, 306, 10369, 10271])).
% 82.85/52.42 tff(10452,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10453,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10454,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 82.85/52.42 tff(10455,plain,
% 82.85/52.42 (v102(constB74) | v104(constB74)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10454, 320, 10369])).
% 82.85/52.42 tff(10456,plain,
% 82.85/52.42 (v102(constB74)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10455, 10451])).
% 82.85/52.42 tff(10457,plain,
% 82.85/52.42 (v1(constB74) <=> v1(constB74)),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10458,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 82.85/52.42 tff(10459,plain,
% 82.85/52.42 (v1(constB74)),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 82.85/52.42 tff(10460,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10461,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 82.85/52.42 inference(quant_inst,[status(thm)],[])).
% 82.85/52.42 tff(10462,plain,
% 82.85/52.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 82.85/52.42 inference(modus_ponens,[status(thm)],[10461, 10460])).
% 82.85/52.42 tff(10463,plain,
% 82.85/52.42 (v101(constB74) | (~v102(constB74))),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10462, 338, 10369, 10459])).
% 82.85/52.42 tff(10464,plain,
% 82.85/52.42 (v101(constB74)),
% 82.85/52.42 inference(unit_resolution,[status(thm)],[10463, 10456])).
% 82.85/52.42 tff(10465,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10466,plain,
% 82.85/52.42 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 82.85/52.42 inference(rewrite,[status(thm)],[])).
% 82.85/52.42 tff(10467,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 82.85/52.42 inference(monotonicity,[status(thm)],[10466])).
% 82.85/52.42 tff(10468,plain,
% 82.85/52.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10467, 10465])).
% 82.85/52.43 tff(10469,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10470,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 82.85/52.43 tff(10471,plain,
% 82.85/52.43 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10470, 353, 10369])).
% 82.85/52.43 tff(10472,plain,
% 82.85/52.43 (v100(constB74) | (~v110(constB74))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10471, 10464])).
% 82.85/52.43 tff(10473,plain,
% 82.85/52.43 (v100(constB74)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10472, 10447])).
% 82.85/52.43 tff(10474,plain,
% 82.85/52.43 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10475,plain,
% 82.85/52.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10476,plain,
% 82.85/52.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10475, 10474])).
% 82.85/52.43 tff(10477,plain,
% 82.85/52.43 (~v90(constB74, 2)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10476, 589, 10473, 10374])).
% 82.85/52.43 tff(10478,plain,
% 82.85/52.43 ((~v1(constB75)) <=> (~v1(constB75))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10479,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 82.85/52.43 tff(10480,plain,
% 82.85/52.43 (~v1(constB75)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10479, 10478])).
% 82.85/52.43 tff(10481,plain,
% 82.85/52.43 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10482,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 82.85/52.43 tff(10483,plain,
% 82.85/52.43 (nextState(constB74, constB75)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 82.85/52.43 tff(10484,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10485,plain,
% 82.85/52.43 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10486,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10485])).
% 82.85/52.43 tff(10487,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10486, 10484])).
% 82.85/52.43 tff(10488,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10489,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10488, 10487])).
% 82.85/52.43 tff(10490,plain,
% 82.85/52.43 (~v101(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10489, 66, 10483, 10480])).
% 82.85/52.43 tff(10491,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10492,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10493,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10492, 10491])).
% 82.85/52.43 tff(10494,plain,
% 82.85/52.43 (v101(constB75) | (~v100(constB75))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10493, 83, 10483])).
% 82.85/52.43 tff(10495,plain,
% 82.85/52.43 (~v100(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10494, 10490])).
% 82.85/52.43 tff(10496,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10497,plain,
% 82.85/52.43 (((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))) <=> (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10498,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10497])).
% 82.85/52.43 tff(10499,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10498, 10496])).
% 82.85/52.43 tff(10500,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10501,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10500, 10499])).
% 82.85/52.43 tff(10502,plain,
% 82.85/52.43 (v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10501, 98, 10483])).
% 82.85/52.43 tff(10503,plain,
% 82.85/52.43 (v90(constB74, 2) | (~v90(constB75, 2))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10502, 10495])).
% 82.85/52.43 tff(10504,plain,
% 82.85/52.43 (~v90(constB75, 2)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10503, 10477])).
% 82.85/52.43 tff(10505,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10506,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10507,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10506, 10505])).
% 82.85/52.43 tff(10508,plain,
% 82.85/52.43 (~v130(constB73, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10507, 2135, 10350, 10346, 10342, 10338, 10303, 10299])).
% 82.85/52.43 tff(10509,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10510,plain,
% 82.85/52.43 ((v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1))) <=> ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10511,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10510])).
% 82.85/52.43 tff(10512,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10511, 10509])).
% 82.85/52.43 tff(10513,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10514,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 82.85/52.43 tff(10515,plain,
% 82.85/52.43 ((~v127(constB73, 1)) | v130(constB73, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10514, 383, 10358])).
% 82.85/52.43 tff(10516,plain,
% 82.85/52.43 (~v127(constB73, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10515, 10508])).
% 82.85/52.43 tff(10517,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10518,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10519,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 82.85/52.43 tff(10520,plain,
% 82.85/52.43 (v127(constB73, 1) | (~v129(constB74, 1))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10519, 401, 10369])).
% 82.85/52.43 tff(10521,plain,
% 82.85/52.43 (~v129(constB74, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10520, 10516])).
% 82.85/52.43 tff(10522,plain,
% 82.85/52.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10523,plain,
% 82.85/52.43 (((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1)) <=> ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10524,plain,
% 82.85/52.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10523])).
% 82.85/52.43 tff(10525,plain,
% 82.85/52.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10524, 10522])).
% 82.85/52.43 tff(10526,plain,
% 82.85/52.43 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10527,plain,
% 82.85/52.43 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 82.85/52.43 tff(10528,plain,
% 82.85/52.43 (~v90(constB74, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10527, 416, 10473, 10521])).
% 82.85/52.43 tff(10529,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10530,plain,
% 82.85/52.43 (((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))) <=> (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10531,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10530])).
% 82.85/52.43 tff(10532,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10531, 10529])).
% 82.85/52.43 tff(10533,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10534,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10533, 10532])).
% 82.85/52.43 tff(10535,plain,
% 82.85/52.43 (v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10534, 119, 10483])).
% 82.85/52.43 tff(10536,plain,
% 82.85/52.43 (v90(constB74, 1) | (~v90(constB75, 1))),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10535, 10495])).
% 82.85/52.43 tff(10537,plain,
% 82.85/52.43 (~v90(constB75, 1)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10536, 10528])).
% 82.85/52.43 tff(10538,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10539,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10540,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10539, 10538])).
% 82.85/52.43 tff(10541,plain,
% 82.85/52.43 (v130(constB73, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10540, 2180, 10350, 10346, 10342, 10338, 10303, 10299])).
% 82.85/52.43 tff(10542,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10543,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10544,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 82.85/52.43 tff(10545,plain,
% 82.85/52.43 ((~v130(constB73, 0)) | v127(constB73, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10544, 478, 10358])).
% 82.85/52.43 tff(10546,plain,
% 82.85/52.43 (v127(constB73, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10545, 10541])).
% 82.85/52.43 tff(10547,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10548,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10549,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10548, 10547])).
% 82.85/52.43 tff(10550,plain,
% 82.85/52.43 ((~v127(constB73, 0)) | v129(constB74, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10549, 493, 10369])).
% 82.85/52.43 tff(10551,plain,
% 82.85/52.43 (v129(constB74, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10550, 10546])).
% 82.85/52.43 tff(10552,plain,
% 82.85/52.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10553,plain,
% 82.85/52.43 ((v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0))) <=> (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10554,plain,
% 82.85/52.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10553])).
% 82.85/52.43 tff(10555,plain,
% 82.85/52.43 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10554, 10552])).
% 82.85/52.43 tff(10556,plain,
% 82.85/52.43 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10557,plain,
% 82.85/52.43 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10556, 10555])).
% 82.85/52.43 tff(10558,plain,
% 82.85/52.43 (v90(constB74, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10557, 508, 10473, 10551])).
% 82.85/52.43 tff(10559,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10560,plain,
% 82.85/52.43 (((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)) <=> ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10561,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10560])).
% 82.85/52.43 tff(10562,plain,
% 82.85/52.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10561, 10559])).
% 82.85/52.43 tff(10563,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10564,plain,
% 82.85/52.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10563, 10562])).
% 82.85/52.43 tff(10565,plain,
% 82.85/52.43 ((~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10564, 526, 10483])).
% 82.85/52.43 tff(10566,plain,
% 82.85/52.43 ((~v90(constB74, 0)) | v90(constB75, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10565, 10495])).
% 82.85/52.43 tff(10567,plain,
% 82.85/52.43 (v90(constB75, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10566, 10558])).
% 82.85/52.43 tff(10568,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10569,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10570,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 82.85/52.43 tff(10571,plain,
% 82.85/52.43 (v120(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10570, 614, 10567, 10537, 10504])).
% 82.85/52.43 tff(10572,assumption,(v120(constB75)), introduced(assumption)).
% 82.85/52.43 tff(10573,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10574,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10575,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 82.85/52.43 tff(10576,plain,
% 82.85/52.43 (~v130(constB75, 0)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10575, 882, 10572])).
% 82.85/52.43 tff(10577,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10578,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10579,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB75)) | v118(constB75)),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 82.85/52.43 tff(10580,plain,
% 82.85/52.43 (v118(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10579, 628, 10572])).
% 82.85/52.43 tff(10581,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10582,plain,
% 82.85/52.43 (((~v118(constB75)) | v117(constB75)) <=> (v117(constB75) | (~v118(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10583,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10582])).
% 82.85/52.43 tff(10584,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10583, 10581])).
% 82.85/52.43 tff(10585,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10586,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 82.85/52.43 tff(10587,plain,
% 82.85/52.43 (v117(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10586, 186, 10580])).
% 82.85/52.43 tff(10588,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10589,plain,
% 82.85/52.43 (((~v117(constB75)) | v116(constB75)) <=> (v116(constB75) | (~v117(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10590,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10589])).
% 82.85/52.43 tff(10591,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10590, 10588])).
% 82.85/52.43 tff(10592,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10593,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 82.85/52.43 tff(10594,plain,
% 82.85/52.43 (v116(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10593, 200, 10587])).
% 82.85/52.43 tff(10595,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10596,plain,
% 82.85/52.43 (((~v116(constB75)) | v115(constB75)) <=> (v115(constB75) | (~v116(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10597,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v116(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10596])).
% 82.85/52.43 tff(10598,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10597, 10595])).
% 82.85/52.43 tff(10599,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10600,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v116(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 82.85/52.43 tff(10601,plain,
% 82.85/52.43 (v115(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10600, 214, 10594])).
% 82.85/52.43 tff(10602,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10603,plain,
% 82.85/52.43 (((~v115(constB75)) | v114(constB75)) <=> (v114(constB75) | (~v115(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10604,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10603])).
% 82.85/52.43 tff(10605,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10604, 10602])).
% 82.85/52.43 tff(10606,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10607,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 82.85/52.43 tff(10608,plain,
% 82.85/52.43 (v114(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10607, 228, 10601])).
% 82.85/52.43 tff(10609,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10610,plain,
% 82.85/52.43 (((~v114(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v114(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10611,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10610])).
% 82.85/52.43 tff(10612,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10611, 10609])).
% 82.85/52.43 tff(10613,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10614,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10613, 10612])).
% 82.85/52.43 tff(10615,plain,
% 82.85/52.43 (v113(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10614, 242, 10608])).
% 82.85/52.43 tff(10616,assumption,(v26(constB75)), introduced(assumption)).
% 82.85/52.43 tff(10617,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10618,plain,
% 82.85/52.43 ($false),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10617, 19, 10616])).
% 82.85/52.43 tff(10619,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 82.85/52.43 tff(10620,assumption,(~v26(constB75)), introduced(assumption)).
% 82.85/52.43 tff(10621,assumption,(v113(constB75)), introduced(assumption)).
% 82.85/52.43 tff(10622,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10623,plain,
% 82.85/52.43 ((v26(constB75) | (~v113(constB75)) | v112(constB75)) <=> (v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10624,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | v112(constB75) | (~v113(constB75))))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10623])).
% 82.85/52.43 tff(10625,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75)))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10624, 10622])).
% 82.85/52.43 tff(10626,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 82.85/52.43 inference(quant_inst,[status(thm)],[])).
% 82.85/52.43 tff(10627,plain,
% 82.85/52.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | v112(constB75) | (~v113(constB75))),
% 82.85/52.43 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 82.85/52.43 tff(10628,plain,
% 82.85/52.43 (v26(constB75) | v112(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10627, 256, 10621])).
% 82.85/52.43 tff(10629,plain,
% 82.85/52.43 (v112(constB75)),
% 82.85/52.43 inference(unit_resolution,[status(thm)],[10628, 10620])).
% 82.85/52.43 tff(10630,assumption,(~v130(constB75, 0)), introduced(assumption)).
% 82.85/52.43 tff(10631,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10632,plain,
% 82.85/52.43 ((v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0))) <=> ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 82.85/52.43 inference(rewrite,[status(thm)],[])).
% 82.85/52.43 tff(10633,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)))),
% 82.85/52.43 inference(monotonicity,[status(thm)],[10632])).
% 82.85/52.43 tff(10634,plain,
% 82.85/52.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 82.85/52.43 inference(transitivity,[status(thm)],[10633, 10631])).
% 82.85/52.44 tff(10635,plain,
% 82.85/52.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))),
% 82.85/52.44 inference(quant_inst,[status(thm)],[])).
% 82.85/52.44 tff(10636,plain,
% 82.85/52.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)),
% 82.85/52.44 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 82.85/52.44 tff(10637,plain,
% 82.85/52.44 ((~v127(constB75, 0)) | v26(constB75)),
% 82.85/52.44 inference(unit_resolution,[status(thm)],[10636, 896, 10630])).
% 82.85/52.44 tff(10638,plain,
% 82.85/52.44 (~v127(constB75, 0)),
% 82.85/52.44 inference(unit_resolution,[status(thm)],[10637, 10620])).
% 82.85/52.44 tff(10639,plain,
% 82.85/52.44 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 82.85/52.44 inference(rewrite,[status(thm)],[])).
% 82.85/52.44 tff(10640,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 82.85/52.44 tff(10641,plain,
% 82.85/52.44 (nextState(constB75, constB76)),
% 82.85/52.44 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 82.85/52.44 tff(10642,plain,
% 82.85/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 82.85/52.44 inference(rewrite,[status(thm)],[])).
% 82.85/52.44 tff(10643,plain,
% 82.85/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 82.85/52.44 inference(quant_inst,[status(thm)],[])).
% 82.85/52.44 tff(10644,plain,
% 82.85/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0))),
% 82.85/52.44 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 82.85/52.44 tff(10645,plain,
% 82.85/52.44 (v127(constB75, 0) | (~v129(constB76, 0))),
% 82.85/52.44 inference(unit_resolution,[status(thm)],[10644, 914, 10641])).
% 82.85/52.44 tff(10646,plain,
% 82.85/52.44 (~v129(constB76, 0)),
% 82.85/52.44 inference(unit_resolution,[status(thm)],[10645, 10638])).
% 82.85/52.44 tff(10647,assumption,(v90(constB76, 0)), introduced(assumption)).
% 82.85/52.44 tff(10648,plain,
% 82.85/52.44 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 82.85/52.44 inference(rewrite,[status(thm)],[])).
% 82.85/52.44 tff(10649,plain,
% 82.85/52.44 (((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0)) <=> ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 82.85/52.44 inference(rewrite,[status(thm)],[])).
% 82.85/52.44 tff(10650,plain,
% 82.85/52.44 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))))),
% 82.85/52.44 inference(monotonicity,[status(thm)],[10649])).
% 82.85/52.44 tff(10651,plain,
% 82.85/52.44 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 82.85/52.44 inference(transitivity,[status(thm)],[10650, 10648])).
% 82.85/52.44 tff(10652,plain,
% 82.85/52.44 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))),
% 82.85/52.44 inference(quant_inst,[status(thm)],[])).
% 82.85/52.44 tff(10653,plain,
% 82.85/52.44 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 82.87/52.44 tff(10654,plain,
% 82.87/52.44 (v129(constB76, 0) | (~v100(constB76))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10653, 929, 10647])).
% 82.87/52.44 tff(10655,plain,
% 82.87/52.44 (~v100(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10654, 10646])).
% 82.87/52.44 tff(10656,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10657,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10658,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 82.87/52.44 tff(10659,plain,
% 82.87/52.44 (~v104(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10658, 306, 10641, 10480])).
% 82.87/52.44 tff(10660,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10661,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10662,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10661, 10660])).
% 82.87/52.44 tff(10663,plain,
% 82.87/52.44 (v102(constB76) | v104(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10662, 320, 10641])).
% 82.87/52.44 tff(10664,plain,
% 82.87/52.44 (v102(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10663, 10659])).
% 82.87/52.44 tff(10665,plain,
% 82.87/52.44 (v1(constB76) <=> v1(constB76)),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10666,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 82.87/52.44 tff(10667,plain,
% 82.87/52.44 (v1(constB76)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 82.87/52.44 tff(10668,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10669,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10670,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 82.87/52.44 tff(10671,plain,
% 82.87/52.44 (v101(constB76) | (~v102(constB76))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10670, 338, 10641, 10667])).
% 82.87/52.44 tff(10672,plain,
% 82.87/52.44 (v101(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10671, 10664])).
% 82.87/52.44 tff(10673,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10674,plain,
% 82.87/52.44 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10675,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10674])).
% 82.87/52.44 tff(10676,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10675, 10673])).
% 82.87/52.44 tff(10677,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10678,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 82.87/52.44 tff(10679,plain,
% 82.87/52.44 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10678, 353, 10641])).
% 82.87/52.44 tff(10680,plain,
% 82.87/52.44 (v100(constB76) | (~v110(constB76))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10679, 10672])).
% 82.87/52.44 tff(10681,plain,
% 82.87/52.44 (~v110(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10680, 10655])).
% 82.87/52.44 tff(10682,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10683,plain,
% 82.87/52.44 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10684,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10683])).
% 82.87/52.44 tff(10685,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10684, 10682])).
% 82.87/52.44 tff(10686,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10687,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10686, 10685])).
% 82.87/52.44 tff(10688,plain,
% 82.87/52.44 (v110(constB76) | (~v108(constB75))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10687, 288, 10641])).
% 82.87/52.44 tff(10689,plain,
% 82.87/52.44 (~v108(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10688, 10681])).
% 82.87/52.44 tff(10690,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10691,plain,
% 82.87/52.44 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10692,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10691])).
% 82.87/52.44 tff(10693,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10692, 10690])).
% 82.87/52.44 tff(10694,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10695,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 82.87/52.44 tff(10696,plain,
% 82.87/52.44 ($false),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10695, 268, 10689, 10629])).
% 82.87/52.44 tff(10697,plain,(v26(constB75) | (~v90(constB76, 0)) | (~v113(constB75)) | v130(constB75, 0)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.44 tff(10698,plain,
% 82.87/52.44 ((~v90(constB76, 0)) | (~v113(constB75)) | v130(constB75, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10697, 10619])).
% 82.87/52.44 tff(10699,plain,
% 82.87/52.44 (~v90(constB76, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10698, 10615, 10576])).
% 82.87/52.44 tff(10700,plain,
% 82.87/52.44 ((~v1(constB77)) <=> (~v1(constB77))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10701,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 82.87/52.44 tff(10702,plain,
% 82.87/52.44 (~v1(constB77)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 82.87/52.44 tff(10703,plain,
% 82.87/52.44 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10704,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 82.87/52.44 tff(10705,plain,
% 82.87/52.44 (nextState(constB76, constB77)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 82.87/52.44 tff(10706,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10707,plain,
% 82.87/52.44 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10708,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10707])).
% 82.87/52.44 tff(10709,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10708, 10706])).
% 82.87/52.44 tff(10710,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10711,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10710, 10709])).
% 82.87/52.44 tff(10712,plain,
% 82.87/52.44 (~v101(constB77)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10711, 66, 10705, 10702])).
% 82.87/52.44 tff(10713,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10714,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10715,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 82.87/52.44 tff(10716,plain,
% 82.87/52.44 (v101(constB77) | (~v100(constB77))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10715, 83, 10705])).
% 82.87/52.44 tff(10717,plain,
% 82.87/52.44 (~v100(constB77)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10716, 10712])).
% 82.87/52.44 tff(10718,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10719,plain,
% 82.87/52.44 (((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))) <=> (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10720,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10719])).
% 82.87/52.44 tff(10721,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10720, 10718])).
% 82.87/52.44 tff(10722,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10723,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 82.87/52.44 tff(10724,plain,
% 82.87/52.44 (v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10723, 140, 10705])).
% 82.87/52.44 tff(10725,plain,
% 82.87/52.44 (v90(constB76, 0) | (~v90(constB77, 0))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10724, 10717])).
% 82.87/52.44 tff(10726,plain,
% 82.87/52.44 (~v90(constB77, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10725, 10699])).
% 82.87/52.44 tff(10727,assumption,(~v100(constB76)), introduced(assumption)).
% 82.87/52.44 tff(10728,plain,
% 82.87/52.44 (~v110(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10680, 10727])).
% 82.87/52.44 tff(10729,plain,
% 82.87/52.44 (~v108(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10688, 10728])).
% 82.87/52.44 tff(10730,plain,
% 82.87/52.44 (~v112(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10695, 268, 10729])).
% 82.87/52.44 tff(10731,plain,
% 82.87/52.44 (v112(constB75) | (~v113(constB75))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10627, 256, 10619])).
% 82.87/52.44 tff(10732,plain,
% 82.87/52.44 (~v113(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10731, 10730])).
% 82.87/52.44 tff(10733,plain,
% 82.87/52.44 (~v114(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10614, 242, 10732])).
% 82.87/52.44 tff(10734,assumption,(~v90(constB76, 0)), introduced(assumption)).
% 82.87/52.44 tff(10735,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10736,plain,
% 82.87/52.44 (((~nextState(constB75, constB76)) | (~v90(constB75, 0)) | v100(constB76) | v90(constB76, 0)) <=> ((~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10737,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 0)) | v100(constB76) | v90(constB76, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0)))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10736])).
% 82.87/52.44 tff(10738,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 0)) | v100(constB76) | v90(constB76, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10737, 10735])).
% 82.87/52.44 tff(10739,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 0)) | v100(constB76) | v90(constB76, 0))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10740,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB75, 0)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 0)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 82.87/52.44 tff(10741,plain,
% 82.87/52.44 ((~v90(constB75, 0)) | v100(constB76) | v90(constB76, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10740, 526, 10641])).
% 82.87/52.44 tff(10742,plain,
% 82.87/52.44 (~v90(constB75, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10741, 10727, 10734])).
% 82.87/52.44 tff(10743,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB75)) | v90(constB75, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB75)) | v90(constB75, 0))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10744,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB75)) | v90(constB75, 0))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10745,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB75)) | v90(constB75, 0)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 82.87/52.44 tff(10746,plain,
% 82.87/52.44 (~v124(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10745, 5687, 10742])).
% 82.87/52.44 tff(10747,assumption,(~v110(constB76)), introduced(assumption)).
% 82.87/52.44 tff(10748,plain,
% 82.87/52.44 (~v108(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10688, 10747])).
% 82.87/52.44 tff(10749,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v26(constB75)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v26(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10750,plain,
% 82.87/52.44 (((~v26(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v26(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10751,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v26(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10750])).
% 82.87/52.44 tff(10752,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v26(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10751, 10749])).
% 82.87/52.44 tff(10753,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB75)) | v108(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10754,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v26(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 82.87/52.44 tff(10755,plain,
% 82.87/52.44 (~v26(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10754, 685, 10748])).
% 82.87/52.44 tff(10756,assumption,(~v127(constB75, 2)), introduced(assumption)).
% 82.87/52.44 tff(10757,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB75) | (~v130(constB75, 2)) | v127(constB75, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB75) | (~v130(constB75, 2)) | v127(constB75, 2))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10758,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB75) | (~v130(constB75, 2)) | v127(constB75, 2))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10759,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB75) | (~v130(constB75, 2)) | v127(constB75, 2)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 82.87/52.44 tff(10760,plain,
% 82.87/52.44 (v26(constB75) | (~v130(constB75, 2))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10759, 1212, 10756])).
% 82.87/52.44 tff(10761,plain,
% 82.87/52.44 (~v130(constB75, 2)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10760, 10755])).
% 82.87/52.44 tff(10762,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB75)) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB75)) | v130(constB75, 2))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10763,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB75)) | v130(constB75, 2))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10764,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB75)) | v130(constB75, 2)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 82.87/52.44 tff(10765,plain,
% 82.87/52.44 (~v123(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10764, 1567, 10761])).
% 82.87/52.44 tff(10766,plain,
% 82.87/52.44 (~v112(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10695, 268, 10748])).
% 82.87/52.44 tff(10767,plain,
% 82.87/52.44 (~v113(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10627, 256, 10755, 10766])).
% 82.87/52.44 tff(10768,plain,
% 82.87/52.44 (~v114(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10614, 242, 10767])).
% 82.87/52.44 tff(10769,plain,
% 82.87/52.44 (~v115(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10607, 228, 10768])).
% 82.87/52.44 tff(10770,plain,
% 82.87/52.44 (~v116(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10600, 214, 10769])).
% 82.87/52.44 tff(10771,plain,
% 82.87/52.44 (~v117(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10593, 200, 10770])).
% 82.87/52.44 tff(10772,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v121(constB75)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v121(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10773,plain,
% 82.87/52.44 (((~v121(constB75)) | v117(constB75)) <=> (v117(constB75) | (~v121(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10774,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v121(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10773])).
% 82.87/52.44 tff(10775,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v121(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10774, 10772])).
% 82.87/52.44 tff(10776,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB75)) | v117(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10777,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v121(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 82.87/52.44 tff(10778,plain,
% 82.87/52.44 (~v121(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10777, 967, 10771])).
% 82.87/52.44 tff(10779,plain,
% 82.87/52.44 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 82.87/52.44 inference(bind,[status(th)],[])).
% 82.87/52.44 tff(10780,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(quant_intro,[status(thm)],[10779])).
% 82.87/52.44 tff(10781,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10782,plain,
% 82.87/52.44 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 82.87/52.44 inference(bind,[status(th)],[])).
% 82.87/52.44 tff(10783,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(quant_intro,[status(thm)],[10782])).
% 82.87/52.44 tff(10784,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 82.87/52.44 tff(10785,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 82.87/52.44 tff(10786,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10785, 10781])).
% 82.87/52.44 tff(10787,plain,(
% 82.87/52.44 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(skolemize,[status(sab)],[10786])).
% 82.87/52.44 tff(10788,plain,
% 82.87/52.44 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10787, 10780])).
% 82.87/52.44 tff(10789,plain,
% 82.87/52.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v100(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v100(constB76)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10790,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v100(constB76)))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10791,plain,
% 82.87/52.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v100(constB76))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 82.87/52.44 tff(10792,plain,
% 82.87/52.44 (v110(constB76) | (~v100(constB76))),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10791, 10788, 10641])).
% 82.87/52.44 tff(10793,plain,
% 82.87/52.44 (~v100(constB76)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10792, 10747])).
% 82.87/52.44 tff(10794,plain,
% 82.87/52.44 (~v90(constB75, 0)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10741, 10793, 10734])).
% 82.87/52.44 tff(10795,plain,
% 82.87/52.44 (~v118(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10586, 186, 10771])).
% 82.87/52.44 tff(10796,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB75) | (~v119(constB75)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v119(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10797,plain,
% 82.87/52.44 (((~v119(constB75)) | v118(constB75)) <=> (v118(constB75) | (~v119(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10798,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB75) | (~v119(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10797])).
% 82.87/52.44 tff(10799,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v119(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10798, 10796])).
% 82.87/52.44 tff(10800,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB75)) | v118(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10801,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v119(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10800, 10799])).
% 82.87/52.44 tff(10802,plain,
% 82.87/52.44 (~v119(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10801, 175, 10795])).
% 82.87/52.44 tff(10803,assumption,(~v119(constB75)), introduced(assumption)).
% 82.87/52.44 tff(10804,assumption,(~v90(constB75, 2)), introduced(assumption)).
% 82.87/52.44 tff(10805,assumption,(~v121(constB75)), introduced(assumption)).
% 82.87/52.44 tff(10806,assumption,(~v90(constB75, 0)), introduced(assumption)).
% 82.87/52.44 tff(10807,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB75, 0) | (~v90(constB75, 1)) | v90(constB75, 2) | v121(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB75, 0) | (~v90(constB75, 1)) | v90(constB75, 2) | v121(constB75))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10808,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB75, 0) | (~v90(constB75, 1)) | v90(constB75, 2) | v121(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10809,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB75, 0) | (~v90(constB75, 1)) | v90(constB75, 2) | v121(constB75)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10808, 10807])).
% 82.87/52.44 tff(10810,plain,
% 82.87/52.44 ((~v90(constB75, 1)) | v90(constB75, 2) | v121(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10809, 956, 10806])).
% 82.87/52.44 tff(10811,plain,
% 82.87/52.44 (~v90(constB75, 1)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10810, 10804, 10805])).
% 82.87/52.44 tff(10812,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10813,plain,
% 82.87/52.44 ((v90(constB75, 0) | v119(constB75) | v90(constB75, 1) | v90(constB75, 2)) <=> (v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10814,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB75, 0) | v119(constB75) | v90(constB75, 1) | v90(constB75, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75)))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10813])).
% 82.87/52.44 tff(10815,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB75, 0) | v119(constB75) | v90(constB75, 1) | v90(constB75, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10814, 10812])).
% 82.87/52.44 tff(10816,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB75, 0) | v119(constB75) | v90(constB75, 1) | v90(constB75, 2))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10817,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB75, 0) | v90(constB75, 1) | v90(constB75, 2) | v119(constB75)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10816, 10815])).
% 82.87/52.44 tff(10818,plain,
% 82.87/52.44 (v90(constB75, 1) | v90(constB75, 2) | v119(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10817, 161, 10806])).
% 82.87/52.44 tff(10819,plain,
% 82.87/52.44 ($false),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10818, 10811, 10804, 10803])).
% 82.87/52.44 tff(10820,plain,(v90(constB75, 2) | v119(constB75) | v90(constB75, 0) | v121(constB75)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.44 tff(10821,plain,
% 82.87/52.44 (v90(constB75, 2)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10820, 10802, 10794, 10778])).
% 82.87/52.44 tff(10822,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v125(constB75)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10823,plain,
% 82.87/52.44 (((~v125(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v125(constB75)))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10824,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v125(constB75))))),
% 82.87/52.44 inference(monotonicity,[status(thm)],[10823])).
% 82.87/52.44 tff(10825,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75)))),
% 82.87/52.44 inference(transitivity,[status(thm)],[10824, 10822])).
% 82.87/52.44 tff(10826,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB75)) | v113(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10827,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v125(constB75))),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 82.87/52.44 tff(10828,plain,
% 82.87/52.44 (~v125(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10827, 1946, 10767])).
% 82.87/52.44 tff(10829,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)) | v125(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)) | v125(constB75))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10830,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)) | v125(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10831,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB75, 0) | (~v90(constB75, 1)) | (~v90(constB75, 2)) | v125(constB75)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 82.87/52.44 tff(10832,plain,
% 82.87/52.44 ((~v90(constB75, 1)) | (~v90(constB75, 2)) | v125(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10831, 1934, 10794])).
% 82.87/52.44 tff(10833,plain,
% 82.87/52.44 (~v90(constB75, 1)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10832, 10821, 10828])).
% 82.87/52.44 tff(10834,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)) | v123(constB75))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)) | v123(constB75))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10835,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)) | v123(constB75))),
% 82.87/52.44 inference(quant_inst,[status(thm)],[])).
% 82.87/52.44 tff(10836,plain,
% 82.87/52.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB75, 0) | v90(constB75, 1) | (~v90(constB75, 2)) | v123(constB75)),
% 82.87/52.44 inference(modus_ponens,[status(thm)],[10835, 10834])).
% 82.87/52.44 tff(10837,plain,
% 82.87/52.44 (v90(constB75, 1) | (~v90(constB75, 2)) | v123(constB75)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10836, 1475, 10794])).
% 82.87/52.44 tff(10838,plain,
% 82.87/52.44 ($false),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10837, 10833, 10821, 10765])).
% 82.87/52.44 tff(10839,plain,(v110(constB76) | v127(constB75, 2) | v90(constB76, 0)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.44 tff(10840,plain,
% 82.87/52.44 (v127(constB75, 2)),
% 82.87/52.44 inference(unit_resolution,[status(thm)],[10839, 10728, 10734])).
% 82.87/52.44 tff(10841,assumption,(v127(constB75, 2)), introduced(assumption)).
% 82.87/52.44 tff(10842,assumption,(~v130(constB75, 2)), introduced(assumption)).
% 82.87/52.44 tff(10843,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10844,plain,
% 82.87/52.44 ((v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2))) <=> ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 82.87/52.44 inference(rewrite,[status(thm)],[])).
% 82.87/52.44 tff(10845,plain,
% 82.87/52.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10844])).
% 82.87/52.45 tff(10846,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10845, 10843])).
% 82.87/52.45 tff(10847,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10848,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10847, 10846])).
% 82.87/52.45 tff(10849,plain,
% 82.87/52.45 ((~v127(constB75, 2)) | v26(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10848, 556, 10842])).
% 82.87/52.45 tff(10850,plain,
% 82.87/52.45 (v26(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10849, 10841])).
% 82.87/52.45 tff(10851,plain,
% 82.87/52.45 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 2))))),
% 82.87/52.45 inference(bind,[status(th)],[])).
% 82.87/52.45 tff(10852,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 82.87/52.45 inference(quant_intro,[status(thm)],[10851])).
% 82.87/52.45 tff(10853,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10854,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 82.87/52.45 tff(10855,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 82.87/52.45 tff(10856,plain,(
% 82.87/52.45 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 82.87/52.45 inference(skolemize,[status(sab)],[10855])).
% 82.87/52.45 tff(10857,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10856, 10852])).
% 82.87/52.45 tff(10858,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB75)) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB75)) | (~v127(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10859,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB75)) | (~v127(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10860,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB75)) | (~v127(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 82.87/52.45 tff(10861,plain,
% 82.87/52.45 ($false),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10860, 10857, 10841, 10850])).
% 82.87/52.45 tff(10862,plain,((~v127(constB75, 2)) | v130(constB75, 2)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.45 tff(10863,plain,
% 82.87/52.45 (v130(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10862, 10840])).
% 82.87/52.45 tff(10864,assumption,(~v90(constB76, 2)), introduced(assumption)).
% 82.87/52.45 tff(10865,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10866,plain,
% 82.87/52.45 (((~nextState(constB75, constB76)) | (~v90(constB75, 2)) | v100(constB76) | v90(constB76, 2)) <=> ((~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10867,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 2)) | v100(constB76) | v90(constB76, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2)))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10866])).
% 82.87/52.45 tff(10868,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 2)) | v100(constB76) | v90(constB76, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10867, 10865])).
% 82.87/52.45 tff(10869,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 2)) | v100(constB76) | v90(constB76, 2))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10870,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB75, 2)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 2)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 82.87/52.45 tff(10871,plain,
% 82.87/52.45 ((~v90(constB75, 2)) | v100(constB76) | v90(constB76, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10870, 1374, 10641])).
% 82.87/52.45 tff(10872,plain,
% 82.87/52.45 (~v90(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10871, 10727, 10864])).
% 82.87/52.45 tff(10873,assumption,(~v90(constB76, 1)), introduced(assumption)).
% 82.87/52.45 tff(10874,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10875,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10876,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB75)) | (~v130(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 82.87/52.45 tff(10877,plain,
% 82.87/52.45 (~v119(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10876, 542, 10863])).
% 82.87/52.45 tff(10878,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10879,plain,
% 82.87/52.45 (((~nextState(constB75, constB76)) | (~v90(constB75, 1)) | v100(constB76) | v90(constB76, 1)) <=> ((~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10880,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 1)) | v100(constB76) | v90(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1)))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10879])).
% 82.87/52.45 tff(10881,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 1)) | v100(constB76) | v90(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10880, 10878])).
% 82.87/52.45 tff(10882,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v90(constB75, 1)) | v100(constB76) | v90(constB76, 1))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10883,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB75, 1)) | (~nextState(constB75, constB76)) | v100(constB76) | v90(constB76, 1)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 82.87/52.45 tff(10884,plain,
% 82.87/52.45 ((~v90(constB75, 1)) | v100(constB76) | v90(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10883, 866, 10641])).
% 82.87/52.45 tff(10885,plain,
% 82.87/52.45 (~v90(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10884, 10727, 10873])).
% 82.87/52.45 tff(10886,plain,
% 82.87/52.45 ($false),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10817, 161, 10742, 10885, 10872, 10877])).
% 82.87/52.45 tff(10887,plain,(v100(constB76) | v90(constB76, 0) | v90(constB76, 2) | v90(constB76, 1)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.45 tff(10888,plain,
% 82.87/52.45 (v100(constB76)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10887, 10873, 10864, 10734])).
% 82.87/52.45 tff(10889,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10890,plain,
% 82.87/52.45 ((v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1))) <=> (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10891,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10890])).
% 82.87/52.45 tff(10892,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10891, 10889])).
% 82.87/52.45 tff(10893,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10894,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10893, 10892])).
% 82.87/52.45 tff(10895,plain,
% 82.87/52.45 ((~v129(constB76, 1)) | (~v100(constB76))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10894, 848, 10873])).
% 82.87/52.45 tff(10896,plain,
% 82.87/52.45 (~v129(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10895, 10888])).
% 82.87/52.45 tff(10897,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10898,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10899,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 82.87/52.45 tff(10900,plain,
% 82.87/52.45 ((~v127(constB75, 1)) | v129(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10899, 833, 10641])).
% 82.87/52.45 tff(10901,plain,
% 82.87/52.45 (~v127(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10900, 10896])).
% 82.87/52.45 tff(10902,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10903,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10904,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 82.87/52.45 tff(10905,plain,
% 82.87/52.45 ((~v130(constB75, 1)) | v127(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10904, 818, 10619])).
% 82.87/52.45 tff(10906,plain,
% 82.87/52.45 (~v130(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10905, 10901])).
% 82.87/52.45 tff(10907,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10908,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10909,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 82.87/52.45 tff(10910,plain,
% 82.87/52.45 (~v120(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10909, 804, 10906])).
% 82.87/52.45 tff(10911,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10912,plain,
% 82.87/52.45 ((v90(constB76, 0) | (~v100(constB76)) | (~v129(constB76, 0))) <=> (v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10913,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB76, 0) | (~v100(constB76)) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10912])).
% 82.87/52.45 tff(10914,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB76, 0) | (~v100(constB76)) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10913, 10911])).
% 82.87/52.45 tff(10915,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB76, 0) | (~v100(constB76)) | (~v129(constB76, 0)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10916,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB76, 0) | (~v129(constB76, 0)) | (~v100(constB76))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 82.87/52.45 tff(10917,plain,
% 82.87/52.45 ((~v129(constB76, 0)) | (~v100(constB76))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10916, 508, 10734])).
% 82.87/52.45 tff(10918,plain,
% 82.87/52.45 (~v129(constB76, 0)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10917, 10888])).
% 82.87/52.45 tff(10919,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 0)) | v129(constB76, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB75, constB76)) | (~v127(constB75, 0)) | v129(constB76, 0))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10920,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 0)) | v129(constB76, 0))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10921,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB75, constB76)) | (~v127(constB75, 0)) | v129(constB76, 0)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 82.87/52.45 tff(10922,plain,
% 82.87/52.45 ((~v127(constB75, 0)) | v129(constB76, 0)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10921, 493, 10641])).
% 82.87/52.45 tff(10923,plain,
% 82.87/52.45 (~v127(constB75, 0)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10922, 10918])).
% 82.87/52.45 tff(10924,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB75) | (~v130(constB75, 0)) | v127(constB75, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB75) | (~v130(constB75, 0)) | v127(constB75, 0))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10925,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB75) | (~v130(constB75, 0)) | v127(constB75, 0))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10926,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB75) | (~v130(constB75, 0)) | v127(constB75, 0)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10925, 10924])).
% 82.87/52.45 tff(10927,plain,
% 82.87/52.45 ((~v130(constB75, 0)) | v127(constB75, 0)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10926, 478, 10619])).
% 82.87/52.45 tff(10928,plain,
% 82.87/52.45 (~v130(constB75, 0)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10927, 10923])).
% 82.87/52.45 tff(10929,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB75)) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB75)) | v130(constB75, 0))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10930,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB75)) | v130(constB75, 0))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10931,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB75)) | v130(constB75, 0)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10930, 10929])).
% 82.87/52.45 tff(10932,plain,
% 82.87/52.45 (~v121(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10931, 1146, 10928])).
% 82.87/52.45 tff(10933,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB75)) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB75)) | v130(constB75, 0))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10934,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB75)) | v130(constB75, 0))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10935,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB75)) | v130(constB75, 0)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10934, 10933])).
% 82.87/52.45 tff(10936,plain,
% 82.87/52.45 (~v119(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10935, 464, 10928])).
% 82.87/52.45 tff(10937,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10938,plain,
% 82.87/52.45 ((v90(constB76, 2) | (~v100(constB76)) | (~v129(constB76, 2))) <=> (v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10939,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB76, 2) | (~v100(constB76)) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10938])).
% 82.87/52.45 tff(10940,plain,
% 82.87/52.45 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB76, 2) | (~v100(constB76)) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10939, 10937])).
% 82.87/52.45 tff(10941,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB76, 2) | (~v100(constB76)) | (~v129(constB76, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10942,plain,
% 82.87/52.45 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB76, 2) | (~v129(constB76, 2)) | (~v100(constB76))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 82.87/52.45 tff(10943,plain,
% 82.87/52.45 ((~v129(constB76, 2)) | (~v100(constB76))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10942, 1338, 10864])).
% 82.87/52.45 tff(10944,plain,
% 82.87/52.45 (~v129(constB76, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10943, 10888])).
% 82.87/52.45 tff(10945,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 2)) | v129(constB76, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB75, constB76)) | (~v127(constB75, 2)) | v129(constB76, 2))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10946,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 2)) | v129(constB76, 2))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10947,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB75, constB76)) | (~v127(constB75, 2)) | v129(constB76, 2)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 82.87/52.45 tff(10948,plain,
% 82.87/52.45 ((~v127(constB75, 2)) | v129(constB76, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10947, 1230, 10641])).
% 82.87/52.45 tff(10949,plain,
% 82.87/52.45 (~v127(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10948, 10944])).
% 82.87/52.45 tff(10950,plain,
% 82.87/52.45 ((~v130(constB75, 2)) | v127(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10759, 1212, 10619])).
% 82.87/52.45 tff(10951,plain,
% 82.87/52.45 (~v130(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10950, 10949])).
% 82.87/52.45 tff(10952,plain,
% 82.87/52.45 (~v123(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10764, 1567, 10951])).
% 82.87/52.45 tff(10953,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB75)) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB75)) | v130(constB75, 2))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10954,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB75)) | v130(constB75, 2))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10955,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB75)) | v130(constB75, 2)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 82.87/52.45 tff(10956,plain,
% 82.87/52.45 (~v124(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10955, 1716, 10951])).
% 82.87/52.45 tff(10957,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB75)) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB75)) | v130(constB75, 2))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10958,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB75)) | v130(constB75, 2))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10959,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB75)) | v130(constB75, 2)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 82.87/52.45 tff(10960,plain,
% 82.87/52.45 (~v122(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10959, 1198, 10951])).
% 82.87/52.45 tff(10961,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, 0))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10962,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, 0))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10963,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, 0)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10962, 10961])).
% 82.87/52.45 tff(10964,plain,
% 82.87/52.45 (v119(constB75) | v120(constB75) | v121(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10963, 2180, 10960, 10928, 10956, 10952])).
% 82.87/52.45 tff(10965,plain,
% 82.87/52.45 ($false),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10964, 10936, 10932, 10910])).
% 82.87/52.45 tff(10966,plain,(v90(constB76, 1) | v90(constB76, 0) | v90(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.45 tff(10967,plain,
% 82.87/52.45 (v90(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10966, 10734, 10864])).
% 82.87/52.45 tff(10968,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10969,plain,
% 82.87/52.45 (((~nextState(constB75, constB76)) | v90(constB75, 1) | v100(constB76) | (~v90(constB76, 1))) <=> (v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10970,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB75, constB76)) | v90(constB75, 1) | v100(constB76) | (~v90(constB76, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10969])).
% 82.87/52.45 tff(10971,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB75, constB76)) | v90(constB75, 1) | v100(constB76) | (~v90(constB76, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10970, 10968])).
% 82.87/52.45 tff(10972,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB75, constB76)) | v90(constB75, 1) | v100(constB76) | (~v90(constB76, 1)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10973,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB75, 1) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 1))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 82.87/52.45 tff(10974,plain,
% 82.87/52.45 (v90(constB75, 1) | v100(constB76) | (~v90(constB76, 1))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10973, 119, 10641])).
% 82.87/52.45 tff(10975,plain,
% 82.87/52.45 (v90(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10974, 10727, 10967])).
% 82.87/52.45 tff(10976,plain,
% 82.87/52.45 (v121(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10809, 956, 10742, 10975, 10872])).
% 82.87/52.45 tff(10977,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10978,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10979,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB75)) | (~v130(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 82.87/52.45 tff(10980,plain,
% 82.87/52.45 ($false),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10979, 1052, 10976, 10863])).
% 82.87/52.45 tff(10981,plain,(v100(constB76) | v90(constB76, 0) | v90(constB76, 2)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.45 tff(10982,plain,
% 82.87/52.45 (v90(constB76, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10981, 10727, 10734])).
% 82.87/52.45 tff(10983,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10984,plain,
% 82.87/52.45 (((~nextState(constB75, constB76)) | v90(constB75, 2) | v100(constB76) | (~v90(constB76, 2))) <=> (v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10985,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v90(constB75, 2) | v100(constB76) | (~v90(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[10984])).
% 82.87/52.45 tff(10986,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v90(constB75, 2) | v100(constB76) | (~v90(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[10985, 10983])).
% 82.87/52.45 tff(10987,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v90(constB75, 2) | v100(constB76) | (~v90(constB76, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10988,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB75, 2) | (~nextState(constB75, constB76)) | v100(constB76) | (~v90(constB76, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 82.87/52.45 tff(10989,plain,
% 82.87/52.45 (v90(constB75, 2) | v100(constB76) | (~v90(constB76, 2))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10988, 98, 10641])).
% 82.87/52.45 tff(10990,plain,
% 82.87/52.45 (v90(constB75, 2)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10989, 10982, 10727])).
% 82.87/52.45 tff(10991,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB75)) | (~v90(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10992,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(10993,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB75)) | (~v90(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10992, 10991])).
% 82.87/52.45 tff(10994,plain,
% 82.87/52.45 (~v122(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10993, 2006, 10990])).
% 82.87/52.45 tff(10995,plain,
% 82.87/52.45 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 2))))),
% 82.87/52.45 inference(bind,[status(th)],[])).
% 82.87/52.45 tff(10996,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(quant_intro,[status(thm)],[10995])).
% 82.87/52.45 tff(10997,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(10998,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 82.87/52.45 tff(10999,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 82.87/52.45 tff(11000,plain,(
% 82.87/52.45 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(skolemize,[status(sab)],[10999])).
% 82.87/52.45 tff(11001,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11000, 10996])).
% 82.87/52.45 tff(11002,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB75)) | (~v90(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11003,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11004,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB75)) | (~v90(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 82.87/52.45 tff(11005,plain,
% 82.87/52.45 (~v120(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11004, 11001, 10990])).
% 82.87/52.45 tff(11006,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB75)) | (~v90(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11007,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11008,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB75)) | (~v90(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 82.87/52.45 tff(11009,plain,
% 82.87/52.45 (~v121(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11008, 2017, 10990])).
% 82.87/52.45 tff(11010,plain,
% 82.87/52.45 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 2))))),
% 82.87/52.45 inference(bind,[status(th)],[])).
% 82.87/52.45 tff(11011,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(quant_intro,[status(thm)],[11010])).
% 82.87/52.45 tff(11012,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11013,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 82.87/52.45 tff(11014,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 82.87/52.45 tff(11015,plain,(
% 82.87/52.45 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(skolemize,[status(sab)],[11014])).
% 82.87/52.45 tff(11016,plain,
% 82.87/52.45 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11015, 11011])).
% 82.87/52.45 tff(11017,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB75)) | (~v90(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11018,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB75)) | (~v90(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11019,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB75)) | (~v90(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 82.87/52.45 tff(11020,plain,
% 82.87/52.45 (~v119(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11019, 11016, 10990])).
% 82.87/52.45 tff(11021,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11022,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, 2)))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11023,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB75) | v120(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, 2))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 82.87/52.45 tff(11024,plain,
% 82.87/52.45 (v123(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11023, 2075, 11020, 11009, 11005, 10994, 10863, 10746])).
% 82.87/52.45 tff(11025,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v123(constB75)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v123(constB75)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11026,plain,
% 82.87/52.45 (((~v123(constB75)) | v115(constB75)) <=> (v115(constB75) | (~v123(constB75)))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11027,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB75) | (~v123(constB75))))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[11026])).
% 82.87/52.45 tff(11028,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v123(constB75)))),
% 82.87/52.45 inference(transitivity,[status(thm)],[11027, 11025])).
% 82.87/52.45 tff(11029,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB75)) | v115(constB75))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11030,plain,
% 82.87/52.45 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB75) | (~v123(constB75))),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 82.87/52.45 tff(11031,plain,
% 82.87/52.45 (v115(constB75)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11030, 1486, 11024])).
% 82.87/52.45 tff(11032,plain,
% 82.87/52.45 ($false),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10607, 228, 11031, 10733])).
% 82.87/52.45 tff(11033,plain,(v100(constB76) | v90(constB76, 0)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.45 tff(11034,plain,
% 82.87/52.45 (v100(constB76)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11033, 10699])).
% 82.87/52.45 tff(11035,plain,
% 82.87/52.45 (v130(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10909, 804, 10572])).
% 82.87/52.45 tff(11036,plain,
% 82.87/52.45 (v127(constB75, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10905, 11035])).
% 82.87/52.45 tff(11037,plain,
% 82.87/52.45 (v129(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10900, 11036])).
% 82.87/52.45 tff(11038,plain,
% 82.87/52.45 (v90(constB76, 1) | (~v100(constB76))),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[10894, 848, 11037])).
% 82.87/52.45 tff(11039,plain,
% 82.87/52.45 (v90(constB76, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11038, 11034])).
% 82.87/52.45 tff(11040,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11041,plain,
% 82.87/52.45 (((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)) <=> ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 82.87/52.45 inference(rewrite,[status(thm)],[])).
% 82.87/52.45 tff(11042,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)))),
% 82.87/52.45 inference(monotonicity,[status(thm)],[11041])).
% 82.87/52.45 tff(11043,plain,
% 82.87/52.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 82.87/52.45 inference(transitivity,[status(thm)],[11042, 11040])).
% 82.87/52.45 tff(11044,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))),
% 82.87/52.45 inference(quant_inst,[status(thm)],[])).
% 82.87/52.45 tff(11045,plain,
% 82.87/52.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)),
% 82.87/52.45 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 82.87/52.45 tff(11046,plain,
% 82.87/52.45 ((~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11045, 866, 10705])).
% 82.87/52.45 tff(11047,plain,
% 82.87/52.45 ((~v90(constB76, 1)) | v90(constB77, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11046, 10717])).
% 82.87/52.45 tff(11048,plain,
% 82.87/52.45 (v90(constB77, 1)),
% 82.87/52.45 inference(unit_resolution,[status(thm)],[11047, 11039])).
% 82.87/52.45 tff(11049,plain,
% 82.87/52.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11050,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11051,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 82.87/52.46 tff(11052,plain,
% 82.87/52.46 (~v130(constB75, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11051, 744, 10572])).
% 82.87/52.46 tff(11053,plain,
% 82.87/52.46 (~v127(constB75, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[10862, 11052])).
% 82.87/52.46 tff(11054,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11055,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11056,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 82.87/52.46 tff(11057,plain,
% 82.87/52.46 (v127(constB75, 2) | (~v129(constB76, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11056, 574, 10641])).
% 82.87/52.46 tff(11058,plain,
% 82.87/52.46 (~v129(constB76, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11057, 11053])).
% 82.87/52.46 tff(11059,plain,
% 82.87/52.46 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11060,plain,
% 82.87/52.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11061,plain,
% 82.87/52.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 82.87/52.46 tff(11062,plain,
% 82.87/52.46 ((~v90(constB76, 2)) | (~v100(constB76))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11061, 589, 11058])).
% 82.87/52.46 tff(11063,plain,
% 82.87/52.46 (~v90(constB76, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11062, 11034])).
% 82.87/52.46 tff(11064,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11065,plain,
% 82.87/52.46 (((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))) <=> (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11066,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11065])).
% 82.87/52.46 tff(11067,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11066, 11064])).
% 82.87/52.46 tff(11068,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11069,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 82.87/52.46 tff(11070,plain,
% 82.87/52.46 (v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11069, 98, 10705])).
% 82.87/52.46 tff(11071,plain,
% 82.87/52.46 (v90(constB76, 2) | (~v90(constB77, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11070, 10717])).
% 82.87/52.46 tff(11072,plain,
% 82.87/52.46 (~v90(constB77, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11071, 11063])).
% 82.87/52.46 tff(11073,assumption,(~v121(constB77)), introduced(assumption)).
% 82.87/52.46 tff(11074,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11075,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11076,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11075, 11074])).
% 82.87/52.46 tff(11077,plain,
% 82.87/52.46 (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11076, 956, 11073])).
% 82.87/52.46 tff(11078,plain,
% 82.87/52.46 ($false),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11077, 11072, 11048, 10726])).
% 82.87/52.46 tff(11079,plain,((~v120(constB75)) | v121(constB77)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.46 tff(11080,plain,
% 82.87/52.46 (v121(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11079, 10571])).
% 82.87/52.46 tff(11081,assumption,(v121(constB77)), introduced(assumption)).
% 82.87/52.46 tff(11082,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11083,plain,
% 82.87/52.46 (((~v121(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v121(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11084,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11083])).
% 82.87/52.46 tff(11085,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11084, 11082])).
% 82.87/52.46 tff(11086,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11087,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 82.87/52.46 tff(11088,plain,
% 82.87/52.46 (v117(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11087, 967, 11081])).
% 82.87/52.46 tff(11089,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11090,plain,
% 82.87/52.46 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11091,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11090])).
% 82.87/52.46 tff(11092,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11091, 11089])).
% 82.87/52.46 tff(11093,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11094,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 82.87/52.46 tff(11095,plain,
% 82.87/52.46 (v116(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11094, 200, 11088])).
% 82.87/52.46 tff(11096,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11097,plain,
% 82.87/52.46 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11098,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11097])).
% 82.87/52.46 tff(11099,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11098, 11096])).
% 82.87/52.46 tff(11100,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11101,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 82.87/52.46 tff(11102,plain,
% 82.87/52.46 (v115(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11101, 214, 11095])).
% 82.87/52.46 tff(11103,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11104,plain,
% 82.87/52.46 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11105,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11104])).
% 82.87/52.46 tff(11106,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11105, 11103])).
% 82.87/52.46 tff(11107,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11108,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11107, 11106])).
% 82.87/52.46 tff(11109,plain,
% 82.87/52.46 (v114(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11108, 228, 11102])).
% 82.87/52.46 tff(11110,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11111,plain,
% 82.87/52.46 (((~v114(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v114(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11112,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11111])).
% 82.87/52.46 tff(11113,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11112, 11110])).
% 82.87/52.46 tff(11114,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11115,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 82.87/52.46 tff(11116,plain,
% 82.87/52.46 (v113(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11115, 242, 11109])).
% 82.87/52.46 tff(11117,assumption,(~v108(constB77)), introduced(assumption)).
% 82.87/52.46 tff(11118,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11119,plain,
% 82.87/52.46 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11120,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11119])).
% 82.87/52.46 tff(11121,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11120, 11118])).
% 82.87/52.46 tff(11122,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11123,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11122, 11121])).
% 82.87/52.46 tff(11124,plain,
% 82.87/52.46 (~v112(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11123, 268, 11117])).
% 82.87/52.46 tff(11125,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v26(constB77)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11126,plain,
% 82.87/52.46 (((~v26(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v26(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11127,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v26(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11126])).
% 82.87/52.46 tff(11128,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11127, 11125])).
% 82.87/52.46 tff(11129,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB77)) | v108(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11130,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v26(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 82.87/52.46 tff(11131,plain,
% 82.87/52.46 (~v26(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11130, 685, 11117])).
% 82.87/52.46 tff(11132,assumption,(v113(constB77)), introduced(assumption)).
% 82.87/52.46 tff(11133,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11134,plain,
% 82.87/52.46 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11135,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11134])).
% 82.87/52.46 tff(11136,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11135, 11133])).
% 82.87/52.46 tff(11137,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11138,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 82.87/52.46 tff(11139,plain,
% 82.87/52.46 (v26(constB77) | v112(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11138, 256, 11132])).
% 82.87/52.46 tff(11140,plain,
% 82.87/52.46 ($false),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11139, 11131, 11124])).
% 82.87/52.46 tff(11141,plain,(v108(constB77) | (~v113(constB77))), inference(lemma,lemma(discharge,[]))).
% 82.87/52.46 tff(11142,plain,
% 82.87/52.46 (v108(constB77)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11141, 11116])).
% 82.87/52.46 tff(11143,plain,
% 82.87/52.46 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11144,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 82.87/52.46 tff(11145,plain,
% 82.87/52.46 (nextState(constB77, constB78)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11144, 11143])).
% 82.87/52.46 tff(11146,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11147,plain,
% 82.87/52.46 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11148,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11147])).
% 82.87/52.46 tff(11149,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11148, 11146])).
% 82.87/52.46 tff(11150,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11151,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 82.87/52.46 tff(11152,plain,
% 82.87/52.46 (v110(constB78) | (~v108(constB77))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11151, 288, 11145])).
% 82.87/52.46 tff(11153,plain,
% 82.87/52.46 (v110(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11152, 11142])).
% 82.87/52.46 tff(11154,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11155,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11156,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11155, 11154])).
% 82.87/52.46 tff(11157,plain,
% 82.87/52.46 (~v104(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11156, 306, 11145, 10702])).
% 82.87/52.46 tff(11158,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11159,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11160,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 82.87/52.46 tff(11161,plain,
% 82.87/52.46 (v102(constB78) | v104(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11160, 320, 11145])).
% 82.87/52.46 tff(11162,plain,
% 82.87/52.46 (v102(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11161, 11157])).
% 82.87/52.46 tff(11163,plain,
% 82.87/52.46 (v1(constB78) <=> v1(constB78)),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11164,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 82.87/52.46 tff(11165,plain,
% 82.87/52.46 (v1(constB78)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 82.87/52.46 tff(11166,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11167,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11168,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11167, 11166])).
% 82.87/52.46 tff(11169,plain,
% 82.87/52.46 (v101(constB78) | (~v102(constB78))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11168, 338, 11145, 11165])).
% 82.87/52.46 tff(11170,plain,
% 82.87/52.46 (v101(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11169, 11162])).
% 82.87/52.46 tff(11171,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11172,plain,
% 82.87/52.46 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11173,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11172])).
% 82.87/52.46 tff(11174,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11173, 11171])).
% 82.87/52.46 tff(11175,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11176,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 82.87/52.46 tff(11177,plain,
% 82.87/52.46 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11176, 353, 11145])).
% 82.87/52.46 tff(11178,plain,
% 82.87/52.46 (v100(constB78) | (~v110(constB78))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11177, 11170])).
% 82.87/52.46 tff(11179,plain,
% 82.87/52.46 (v100(constB78)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11178, 11153])).
% 82.87/52.46 tff(11180,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11181,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11182,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11181, 11180])).
% 82.87/52.46 tff(11183,plain,
% 82.87/52.46 (~v130(constB77, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11182, 1052, 11081])).
% 82.87/52.46 tff(11184,assumption,(v26(constB77)), introduced(assumption)).
% 82.87/52.46 tff(11185,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11186,plain,
% 82.87/52.46 ($false),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11185, 19, 11184])).
% 82.87/52.46 tff(11187,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.46 tff(11188,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11189,plain,
% 82.87/52.46 ((v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2))) <=> ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11190,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11189])).
% 82.87/52.46 tff(11191,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11190, 11188])).
% 82.87/52.46 tff(11192,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11193,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11192, 11191])).
% 82.87/52.46 tff(11194,plain,
% 82.87/52.46 ((~v127(constB77, 2)) | v130(constB77, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11193, 556, 11187])).
% 82.87/52.46 tff(11195,plain,
% 82.87/52.46 (~v127(constB77, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11194, 11183])).
% 82.87/52.46 tff(11196,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11197,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11198,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 82.87/52.46 tff(11199,plain,
% 82.87/52.46 (v127(constB77, 2) | (~v129(constB78, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11198, 574, 11145])).
% 82.87/52.46 tff(11200,plain,
% 82.87/52.46 (~v129(constB78, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11199, 11195])).
% 82.87/52.46 tff(11201,plain,
% 82.87/52.46 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11202,plain,
% 82.87/52.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11203,plain,
% 82.87/52.46 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 82.87/52.46 tff(11204,plain,
% 82.87/52.46 ((~v90(constB78, 2)) | (~v100(constB78))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11203, 589, 11200])).
% 82.87/52.46 tff(11205,plain,
% 82.87/52.46 (~v90(constB78, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11204, 11179])).
% 82.87/52.46 tff(11206,plain,
% 82.87/52.46 ((~v1(constB79)) <=> (~v1(constB79))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11207,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 82.87/52.46 tff(11208,plain,
% 82.87/52.46 (~v1(constB79)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 82.87/52.46 tff(11209,plain,
% 82.87/52.46 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11210,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 82.87/52.46 tff(11211,plain,
% 82.87/52.46 (nextState(constB78, constB79)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 82.87/52.46 tff(11212,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11213,plain,
% 82.87/52.46 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11214,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11213])).
% 82.87/52.46 tff(11215,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11214, 11212])).
% 82.87/52.46 tff(11216,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11217,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 82.87/52.46 tff(11218,plain,
% 82.87/52.46 (~v101(constB79)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11217, 66, 11211, 11208])).
% 82.87/52.46 tff(11219,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11220,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11221,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 82.87/52.46 tff(11222,plain,
% 82.87/52.46 (v101(constB79) | (~v100(constB79))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11221, 83, 11211])).
% 82.87/52.46 tff(11223,plain,
% 82.87/52.46 (~v100(constB79)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11222, 11218])).
% 82.87/52.46 tff(11224,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11225,plain,
% 82.87/52.46 (((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))) <=> (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11226,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))))),
% 82.87/52.46 inference(monotonicity,[status(thm)],[11225])).
% 82.87/52.46 tff(11227,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 82.87/52.46 inference(transitivity,[status(thm)],[11226, 11224])).
% 82.87/52.46 tff(11228,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11229,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 82.87/52.46 tff(11230,plain,
% 82.87/52.46 (v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11229, 98, 11211])).
% 82.87/52.46 tff(11231,plain,
% 82.87/52.46 (v90(constB78, 2) | (~v90(constB79, 2))),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11230, 11223])).
% 82.87/52.46 tff(11232,plain,
% 82.87/52.46 (~v90(constB79, 2)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11231, 11205])).
% 82.87/52.46 tff(11233,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11234,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11235,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 82.87/52.46 tff(11236,plain,
% 82.87/52.46 (v130(constB77, 0)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11235, 1146, 11081])).
% 82.87/52.46 tff(11237,plain,
% 82.87/52.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11238,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11239,plain,
% 82.87/52.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 82.87/52.46 tff(11240,plain,
% 82.87/52.46 ((~v130(constB77, 0)) | v127(constB77, 0)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11239, 478, 11187])).
% 82.87/52.46 tff(11241,plain,
% 82.87/52.46 (v127(constB77, 0)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11240, 11236])).
% 82.87/52.46 tff(11242,plain,
% 82.87/52.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 82.87/52.46 inference(rewrite,[status(thm)],[])).
% 82.87/52.46 tff(11243,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 82.87/52.46 inference(quant_inst,[status(thm)],[])).
% 82.87/52.46 tff(11244,plain,
% 82.87/52.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0)),
% 82.87/52.46 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 82.87/52.46 tff(11245,plain,
% 82.87/52.46 ((~v127(constB77, 0)) | v129(constB78, 0)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11244, 493, 11145])).
% 82.87/52.46 tff(11246,plain,
% 82.87/52.46 (v129(constB78, 0)),
% 82.87/52.46 inference(unit_resolution,[status(thm)],[11245, 11241])).
% 82.87/52.46 tff(11247,plain,
% 82.87/52.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11248,plain,
% 82.87/52.47 ((v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0))) <=> (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11249,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11248])).
% 82.87/52.47 tff(11250,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11249, 11247])).
% 82.87/52.47 tff(11251,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11252,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 82.87/52.47 tff(11253,plain,
% 82.87/52.47 (v90(constB78, 0) | (~v100(constB78))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11252, 508, 11246])).
% 82.87/52.47 tff(11254,plain,
% 82.87/52.47 (v90(constB78, 0)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11253, 11179])).
% 82.87/52.47 tff(11255,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11256,plain,
% 82.87/52.47 (((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)) <=> ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11257,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11256])).
% 82.87/52.47 tff(11258,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11257, 11255])).
% 82.87/52.47 tff(11259,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11260,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 82.87/52.47 tff(11261,plain,
% 82.87/52.47 ((~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11260, 526, 11211])).
% 82.87/52.47 tff(11262,plain,
% 82.87/52.47 ((~v90(constB78, 0)) | v90(constB79, 0)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11261, 11223])).
% 82.87/52.47 tff(11263,plain,
% 82.87/52.47 (v90(constB79, 0)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11262, 11254])).
% 82.87/52.47 tff(11264,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11265,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11266,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 82.87/52.47 tff(11267,plain,
% 82.87/52.47 (v130(constB77, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11266, 1108, 11081])).
% 82.87/52.47 tff(11268,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11269,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11270,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 82.87/52.47 tff(11271,plain,
% 82.87/52.47 ((~v130(constB77, 1)) | v127(constB77, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11270, 818, 11187])).
% 82.87/52.47 tff(11272,plain,
% 82.87/52.47 (v127(constB77, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11271, 11267])).
% 82.87/52.47 tff(11273,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11274,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11275,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 82.87/52.47 tff(11276,plain,
% 82.87/52.47 ((~v127(constB77, 1)) | v129(constB78, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11275, 833, 11145])).
% 82.87/52.47 tff(11277,plain,
% 82.87/52.47 (v129(constB78, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11276, 11272])).
% 82.87/52.47 tff(11278,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11279,plain,
% 82.87/52.47 ((v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1))) <=> (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11280,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11279])).
% 82.87/52.47 tff(11281,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11280, 11278])).
% 82.87/52.47 tff(11282,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11283,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 82.87/52.47 tff(11284,plain,
% 82.87/52.47 (v90(constB78, 1) | (~v100(constB78))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11283, 848, 11277])).
% 82.87/52.47 tff(11285,plain,
% 82.87/52.47 (v90(constB78, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11284, 11179])).
% 82.87/52.47 tff(11286,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11287,plain,
% 82.87/52.47 (((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)) <=> ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11288,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11287])).
% 82.87/52.47 tff(11289,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11288, 11286])).
% 82.87/52.47 tff(11290,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11291,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 82.87/52.47 tff(11292,plain,
% 82.87/52.47 ((~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11291, 866, 11211])).
% 82.87/52.47 tff(11293,plain,
% 82.87/52.47 ((~v90(constB78, 1)) | v90(constB79, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11292, 11223])).
% 82.87/52.47 tff(11294,plain,
% 82.87/52.47 (v90(constB79, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11293, 11285])).
% 82.87/52.47 tff(11295,assumption,(~v122(constB79)), introduced(assumption)).
% 82.87/52.47 tff(11296,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11297,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11298,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 82.87/52.47 tff(11299,plain,
% 82.87/52.47 ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11298, 1187, 11295])).
% 82.87/52.47 tff(11300,plain,
% 82.87/52.47 ($false),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11299, 11294, 11263, 11232])).
% 82.87/52.47 tff(11301,plain,((~v121(constB77)) | v122(constB79)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.47 tff(11302,plain,
% 82.87/52.47 (v122(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11301, 11080])).
% 82.87/52.47 tff(11303,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB79)) | v116(constB79))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11304,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11305,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB79)) | v116(constB79)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 82.87/52.47 tff(11306,plain,
% 82.87/52.47 (v116(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11305, 1257, 11302])).
% 82.87/52.47 tff(11307,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11308,plain,
% 82.87/52.47 (((~v116(constB79)) | v115(constB79)) <=> (v115(constB79) | (~v116(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11309,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11308])).
% 82.87/52.47 tff(11310,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11309, 11307])).
% 82.87/52.47 tff(11311,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11312,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11311, 11310])).
% 82.87/52.47 tff(11313,plain,
% 82.87/52.47 (v115(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11312, 214, 11306])).
% 82.87/52.47 tff(11314,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11315,plain,
% 82.87/52.47 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11316,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11315])).
% 82.87/52.47 tff(11317,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11316, 11314])).
% 82.87/52.47 tff(11318,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11319,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11318, 11317])).
% 82.87/52.47 tff(11320,plain,
% 82.87/52.47 (v114(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11319, 228, 11313])).
% 82.87/52.47 tff(11321,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB79)) | v113(constB79))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11322,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11323,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB79)) | v113(constB79)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11322, 11321])).
% 82.87/52.47 tff(11324,plain,
% 82.87/52.47 (v113(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11323, 242, 11320])).
% 82.87/52.47 tff(11325,assumption,(v26(constB79)), introduced(assumption)).
% 82.87/52.47 tff(11326,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11327,plain,
% 82.87/52.47 ($false),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11326, 19, 11325])).
% 82.87/52.47 tff(11328,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.47 tff(11329,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11330,plain,
% 82.87/52.47 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11331,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11330])).
% 82.87/52.47 tff(11332,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11331, 11329])).
% 82.87/52.47 tff(11333,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11334,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11333, 11332])).
% 82.87/52.47 tff(11335,plain,
% 82.87/52.47 (v112(constB79) | (~v113(constB79))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11334, 256, 11328])).
% 82.87/52.47 tff(11336,plain,
% 82.87/52.47 (v112(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11335, 11324])).
% 82.87/52.47 tff(11337,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11338,plain,
% 82.87/52.47 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11339,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11338])).
% 82.87/52.47 tff(11340,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11339, 11337])).
% 82.87/52.47 tff(11341,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11342,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 82.87/52.47 tff(11343,plain,
% 82.87/52.47 (v108(constB79)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11342, 268, 11336])).
% 82.87/52.47 tff(11344,plain,
% 82.87/52.47 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11345,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 82.87/52.47 tff(11346,plain,
% 82.87/52.47 (nextState(constB79, constB80)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 82.87/52.47 tff(11347,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11348,plain,
% 82.87/52.47 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11349,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11348])).
% 82.87/52.47 tff(11350,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11349, 11347])).
% 82.87/52.47 tff(11351,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11352,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11351, 11350])).
% 82.87/52.47 tff(11353,plain,
% 82.87/52.47 (v110(constB80) | (~v108(constB79))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11352, 288, 11346])).
% 82.87/52.47 tff(11354,plain,
% 82.87/52.47 (v110(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11353, 11343])).
% 82.87/52.47 tff(11355,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11356,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11357,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 82.87/52.47 tff(11358,plain,
% 82.87/52.47 (~v104(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11357, 306, 11346, 11208])).
% 82.87/52.47 tff(11359,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11360,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11361,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11360, 11359])).
% 82.87/52.47 tff(11362,plain,
% 82.87/52.47 (v102(constB80) | v104(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11361, 320, 11346])).
% 82.87/52.47 tff(11363,plain,
% 82.87/52.47 (v102(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11362, 11358])).
% 82.87/52.47 tff(11364,plain,
% 82.87/52.47 (v1(constB80) <=> v1(constB80)),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11365,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 82.87/52.47 tff(11366,plain,
% 82.87/52.47 (v1(constB80)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 82.87/52.47 tff(11367,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11368,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11369,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 82.87/52.47 tff(11370,plain,
% 82.87/52.47 (v101(constB80) | (~v102(constB80))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11369, 338, 11346, 11366])).
% 82.87/52.47 tff(11371,plain,
% 82.87/52.47 (v101(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11370, 11363])).
% 82.87/52.47 tff(11372,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11373,plain,
% 82.87/52.47 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11374,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11373])).
% 82.87/52.47 tff(11375,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11374, 11372])).
% 82.87/52.47 tff(11376,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11377,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 82.87/52.47 tff(11378,plain,
% 82.87/52.47 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11377, 353, 11346])).
% 82.87/52.47 tff(11379,plain,
% 82.87/52.47 (v100(constB80) | (~v110(constB80))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11378, 11371])).
% 82.87/52.47 tff(11380,plain,
% 82.87/52.47 (v100(constB80)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11379, 11354])).
% 82.87/52.47 tff(11381,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11382,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11383,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11382, 11381])).
% 82.87/52.47 tff(11384,plain,
% 82.87/52.47 (v130(constB79, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11383, 1198, 11302])).
% 82.87/52.47 tff(11385,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11386,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11387,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11386, 11385])).
% 82.87/52.47 tff(11388,plain,
% 82.87/52.47 ((~v130(constB79, 2)) | v127(constB79, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11387, 1212, 11328])).
% 82.87/52.47 tff(11389,plain,
% 82.87/52.47 (v127(constB79, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11388, 11384])).
% 82.87/52.47 tff(11390,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11391,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11392,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 82.87/52.47 tff(11393,plain,
% 82.87/52.47 ((~v127(constB79, 2)) | v129(constB80, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11392, 1230, 11346])).
% 82.87/52.47 tff(11394,plain,
% 82.87/52.47 (v129(constB80, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11393, 11389])).
% 82.87/52.47 tff(11395,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11396,plain,
% 82.87/52.47 ((v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2))) <=> (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11397,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11396])).
% 82.87/52.47 tff(11398,plain,
% 82.87/52.47 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11397, 11395])).
% 82.87/52.47 tff(11399,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11400,plain,
% 82.87/52.47 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 82.87/52.47 tff(11401,plain,
% 82.87/52.47 (v90(constB80, 2) | (~v100(constB80))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11400, 1338, 11394])).
% 82.87/52.47 tff(11402,plain,
% 82.87/52.47 (v90(constB80, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11401, 11380])).
% 82.87/52.47 tff(11403,plain,
% 82.87/52.47 ((~v1(constB81)) <=> (~v1(constB81))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11404,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 82.87/52.47 tff(11405,plain,
% 82.87/52.47 (~v1(constB81)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 82.87/52.47 tff(11406,plain,
% 82.87/52.47 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11407,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 82.87/52.47 tff(11408,plain,
% 82.87/52.47 (nextState(constB80, constB81)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 82.87/52.47 tff(11409,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11410,plain,
% 82.87/52.47 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11411,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11410])).
% 82.87/52.47 tff(11412,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11411, 11409])).
% 82.87/52.47 tff(11413,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11414,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 82.87/52.47 tff(11415,plain,
% 82.87/52.47 (~v101(constB81)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11414, 66, 11408, 11405])).
% 82.87/52.47 tff(11416,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11417,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11418,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11417, 11416])).
% 82.87/52.47 tff(11419,plain,
% 82.87/52.47 (v101(constB81) | (~v100(constB81))),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11418, 83, 11408])).
% 82.87/52.47 tff(11420,plain,
% 82.87/52.47 (~v100(constB81)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11419, 11415])).
% 82.87/52.47 tff(11421,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11422,plain,
% 82.87/52.47 (((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)) <=> ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11423,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)))),
% 82.87/52.47 inference(monotonicity,[status(thm)],[11422])).
% 82.87/52.47 tff(11424,plain,
% 82.87/52.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 82.87/52.47 inference(transitivity,[status(thm)],[11423, 11421])).
% 82.87/52.47 tff(11425,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11426,plain,
% 82.87/52.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 82.87/52.47 tff(11427,plain,
% 82.87/52.47 ((~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11426, 1374, 11408])).
% 82.87/52.47 tff(11428,plain,
% 82.87/52.47 ((~v90(constB80, 2)) | v90(constB81, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11427, 11420])).
% 82.87/52.47 tff(11429,plain,
% 82.87/52.47 (v90(constB81, 2)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11428, 11402])).
% 82.87/52.47 tff(11430,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1)))),
% 82.87/52.47 inference(rewrite,[status(thm)],[])).
% 82.87/52.47 tff(11431,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))),
% 82.87/52.47 inference(quant_inst,[status(thm)],[])).
% 82.87/52.47 tff(11432,plain,
% 82.87/52.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1))),
% 82.87/52.47 inference(modus_ponens,[status(thm)],[11431, 11430])).
% 82.87/52.47 tff(11433,plain,
% 82.87/52.47 (~v130(constB79, 1)),
% 82.87/52.47 inference(unit_resolution,[status(thm)],[11432, 1390, 11302])).
% 82.87/52.47 tff(11434,plain,
% 82.87/52.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11435,plain,
% 82.87/52.48 ((v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1))) <=> ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11436,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11435])).
% 82.87/52.48 tff(11437,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11436, 11434])).
% 82.87/52.48 tff(11438,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11439,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11438, 11437])).
% 82.87/52.48 tff(11440,plain,
% 82.87/52.48 ((~v127(constB79, 1)) | v130(constB79, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11439, 383, 11328])).
% 82.87/52.48 tff(11441,plain,
% 82.87/52.48 (~v127(constB79, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11440, 11433])).
% 82.87/52.48 tff(11442,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11443,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11444,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 82.87/52.48 tff(11445,plain,
% 82.87/52.48 (v127(constB79, 1) | (~v129(constB80, 1))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11444, 401, 11346])).
% 82.87/52.48 tff(11446,plain,
% 82.87/52.48 (~v129(constB80, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11445, 11441])).
% 82.87/52.48 tff(11447,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11448,plain,
% 82.87/52.48 (((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1)) <=> ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11449,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11448])).
% 82.87/52.48 tff(11450,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11449, 11447])).
% 82.87/52.48 tff(11451,plain,
% 82.87/52.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11452,plain,
% 82.87/52.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 82.87/52.48 tff(11453,plain,
% 82.87/52.48 ((~v90(constB80, 1)) | (~v100(constB80))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11452, 416, 11446])).
% 82.87/52.48 tff(11454,plain,
% 82.87/52.48 (~v90(constB80, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11453, 11380])).
% 82.87/52.48 tff(11455,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11456,plain,
% 82.87/52.48 (((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))) <=> (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11457,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11456])).
% 82.87/52.48 tff(11458,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11457, 11455])).
% 82.87/52.48 tff(11459,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11460,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 82.87/52.48 tff(11461,plain,
% 82.87/52.48 (v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11460, 119, 11408])).
% 82.87/52.48 tff(11462,plain,
% 82.87/52.48 (v90(constB80, 1) | (~v90(constB81, 1))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11461, 11420])).
% 82.87/52.48 tff(11463,plain,
% 82.87/52.48 (~v90(constB81, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11462, 11454])).
% 82.87/52.48 tff(11464,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11465,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11466,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11465, 11464])).
% 82.87/52.48 tff(11467,plain,
% 82.87/52.48 (~v130(constB79, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11466, 1431, 11302])).
% 82.87/52.48 tff(11468,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11469,plain,
% 82.87/52.48 ((v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0))) <=> ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11470,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11469])).
% 82.87/52.48 tff(11471,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11470, 11468])).
% 82.87/52.48 tff(11472,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11473,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 82.87/52.48 tff(11474,plain,
% 82.87/52.48 ((~v127(constB79, 0)) | v130(constB79, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11473, 896, 11328])).
% 82.87/52.48 tff(11475,plain,
% 82.87/52.48 (~v127(constB79, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11474, 11467])).
% 82.87/52.48 tff(11476,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11477,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11478,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11477, 11476])).
% 82.87/52.48 tff(11479,plain,
% 82.87/52.48 (v127(constB79, 0) | (~v129(constB80, 0))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11478, 914, 11346])).
% 82.87/52.48 tff(11480,plain,
% 82.87/52.48 (~v129(constB80, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11479, 11475])).
% 82.87/52.48 tff(11481,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11482,plain,
% 82.87/52.48 (((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0)) <=> ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11483,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11482])).
% 82.87/52.48 tff(11484,plain,
% 82.87/52.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11483, 11481])).
% 82.87/52.48 tff(11485,plain,
% 82.87/52.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11486,plain,
% 82.87/52.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 82.87/52.48 tff(11487,plain,
% 82.87/52.48 ((~v90(constB80, 0)) | (~v100(constB80))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11486, 929, 11480])).
% 82.87/52.48 tff(11488,plain,
% 82.87/52.48 (~v90(constB80, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11487, 11380])).
% 82.87/52.48 tff(11489,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11490,plain,
% 82.87/52.48 (((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))) <=> (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11491,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11490])).
% 82.87/52.48 tff(11492,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11491, 11489])).
% 82.87/52.48 tff(11493,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11494,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 82.87/52.48 tff(11495,plain,
% 82.87/52.48 (v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11494, 140, 11408])).
% 82.87/52.48 tff(11496,plain,
% 82.87/52.48 (v90(constB80, 0) | (~v90(constB81, 0))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11495, 11420])).
% 82.87/52.48 tff(11497,plain,
% 82.87/52.48 (~v90(constB81, 0)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11496, 11488])).
% 82.87/52.48 tff(11498,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11499,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11500,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 82.87/52.48 tff(11501,plain,
% 82.87/52.48 (v123(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11500, 1475, 11497, 11463, 11429])).
% 82.87/52.48 tff(11502,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11503,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11504,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 82.87/52.48 tff(11505,plain,
% 82.87/52.48 (v115(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11504, 1486, 11501])).
% 82.87/52.48 tff(11506,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11507,plain,
% 82.87/52.48 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11508,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11507])).
% 82.87/52.48 tff(11509,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11508, 11506])).
% 82.87/52.48 tff(11510,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11511,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11510, 11509])).
% 82.87/52.48 tff(11512,plain,
% 82.87/52.48 (v114(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11511, 228, 11505])).
% 82.87/52.48 tff(11513,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11514,plain,
% 82.87/52.48 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11515,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11514])).
% 82.87/52.48 tff(11516,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11515, 11513])).
% 82.87/52.48 tff(11517,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11518,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 82.87/52.48 tff(11519,plain,
% 82.87/52.48 (v113(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11518, 242, 11512])).
% 82.87/52.48 tff(11520,assumption,(v26(constB81)), introduced(assumption)).
% 82.87/52.48 tff(11521,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11522,plain,
% 82.87/52.48 ($false),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11521, 19, 11520])).
% 82.87/52.48 tff(11523,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.48 tff(11524,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11525,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11526,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 82.87/52.48 tff(11527,plain,
% 82.87/52.48 ((~v113(constB81)) | v112(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11526, 256, 11523])).
% 82.87/52.48 tff(11528,plain,
% 82.87/52.48 (v112(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11527, 11519])).
% 82.87/52.48 tff(11529,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11530,plain,
% 82.87/52.48 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11531,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11530])).
% 82.87/52.48 tff(11532,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11531, 11529])).
% 82.87/52.48 tff(11533,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11534,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 82.87/52.48 tff(11535,plain,
% 82.87/52.48 (v108(constB81)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11534, 268, 11528])).
% 82.87/52.48 tff(11536,plain,
% 82.87/52.48 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11537,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 82.87/52.48 tff(11538,plain,
% 82.87/52.48 (nextState(constB81, constB82)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11537, 11536])).
% 82.87/52.48 tff(11539,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11540,plain,
% 82.87/52.48 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11541,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11540])).
% 82.87/52.48 tff(11542,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11541, 11539])).
% 82.87/52.48 tff(11543,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11544,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 82.87/52.48 tff(11545,plain,
% 82.87/52.48 (v110(constB82) | (~v108(constB81))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11544, 288, 11538])).
% 82.87/52.48 tff(11546,plain,
% 82.87/52.48 (v110(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11545, 11535])).
% 82.87/52.48 tff(11547,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11548,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11549,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11548, 11547])).
% 82.87/52.48 tff(11550,plain,
% 82.87/52.48 (~v104(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11549, 306, 11538, 11405])).
% 82.87/52.48 tff(11551,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11552,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11553,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 82.87/52.48 tff(11554,plain,
% 82.87/52.48 (v102(constB82) | v104(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11553, 320, 11538])).
% 82.87/52.48 tff(11555,plain,
% 82.87/52.48 (v102(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11554, 11550])).
% 82.87/52.48 tff(11556,plain,
% 82.87/52.48 (v1(constB82) <=> v1(constB82)),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11557,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 82.87/52.48 tff(11558,plain,
% 82.87/52.48 (v1(constB82)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 82.87/52.48 tff(11559,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11560,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11561,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 82.87/52.48 tff(11562,plain,
% 82.87/52.48 (v101(constB82) | (~v102(constB82))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11561, 338, 11538, 11558])).
% 82.87/52.48 tff(11563,plain,
% 82.87/52.48 (v101(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11562, 11555])).
% 82.87/52.48 tff(11564,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11565,plain,
% 82.87/52.48 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11566,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11565])).
% 82.87/52.48 tff(11567,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11566, 11564])).
% 82.87/52.48 tff(11568,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11569,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 82.87/52.48 tff(11570,plain,
% 82.87/52.48 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11569, 353, 11538])).
% 82.87/52.48 tff(11571,plain,
% 82.87/52.48 (v100(constB82) | (~v110(constB82))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11570, 11563])).
% 82.87/52.48 tff(11572,plain,
% 82.87/52.48 (v100(constB82)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11571, 11546])).
% 82.87/52.48 tff(11573,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11574,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11575,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11574, 11573])).
% 82.87/52.48 tff(11576,plain,
% 82.87/52.48 (v130(constB81, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11575, 1567, 11501])).
% 82.87/52.48 tff(11577,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11578,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11579,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11578, 11577])).
% 82.87/52.48 tff(11580,plain,
% 82.87/52.48 ((~v130(constB81, 2)) | v127(constB81, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11579, 1212, 11523])).
% 82.87/52.48 tff(11581,plain,
% 82.87/52.48 (v127(constB81, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11580, 11576])).
% 82.87/52.48 tff(11582,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11583,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11584,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 82.87/52.48 tff(11585,plain,
% 82.87/52.48 ((~v127(constB81, 2)) | v129(constB82, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11584, 1230, 11538])).
% 82.87/52.48 tff(11586,plain,
% 82.87/52.48 (v129(constB82, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11585, 11581])).
% 82.87/52.48 tff(11587,plain,
% 82.87/52.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11588,plain,
% 82.87/52.48 ((v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2))) <=> (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11589,plain,
% 82.87/52.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11588])).
% 82.87/52.48 tff(11590,plain,
% 82.87/52.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11589, 11587])).
% 82.87/52.48 tff(11591,plain,
% 82.87/52.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11592,plain,
% 82.87/52.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 82.87/52.48 tff(11593,plain,
% 82.87/52.48 (v90(constB82, 2) | (~v100(constB82))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11592, 1338, 11586])).
% 82.87/52.48 tff(11594,plain,
% 82.87/52.48 (v90(constB82, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11593, 11572])).
% 82.87/52.48 tff(11595,plain,
% 82.87/52.48 ((~v1(constB83)) <=> (~v1(constB83))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11596,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 82.87/52.48 tff(11597,plain,
% 82.87/52.48 (~v1(constB83)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 82.87/52.48 tff(11598,plain,
% 82.87/52.48 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11599,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 82.87/52.48 tff(11600,plain,
% 82.87/52.48 (nextState(constB82, constB83)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 82.87/52.48 tff(11601,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11602,plain,
% 82.87/52.48 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11603,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11602])).
% 82.87/52.48 tff(11604,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11603, 11601])).
% 82.87/52.48 tff(11605,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11606,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11605, 11604])).
% 82.87/52.48 tff(11607,plain,
% 82.87/52.48 (~v101(constB83)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11606, 66, 11600, 11597])).
% 82.87/52.48 tff(11608,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11609,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11610,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 82.87/52.48 tff(11611,plain,
% 82.87/52.48 (v101(constB83) | (~v100(constB83))),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11610, 83, 11600])).
% 82.87/52.48 tff(11612,plain,
% 82.87/52.48 (~v100(constB83)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11611, 11607])).
% 82.87/52.48 tff(11613,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11614,plain,
% 82.87/52.48 (((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)) <=> ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11615,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)))),
% 82.87/52.48 inference(monotonicity,[status(thm)],[11614])).
% 82.87/52.48 tff(11616,plain,
% 82.87/52.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 82.87/52.48 inference(transitivity,[status(thm)],[11615, 11613])).
% 82.87/52.48 tff(11617,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11618,plain,
% 82.87/52.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 82.87/52.48 tff(11619,plain,
% 82.87/52.48 ((~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11618, 1374, 11600])).
% 82.87/52.48 tff(11620,plain,
% 82.87/52.48 ((~v90(constB82, 2)) | v90(constB83, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11619, 11612])).
% 82.87/52.48 tff(11621,plain,
% 82.87/52.48 (v90(constB83, 2)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11620, 11594])).
% 82.87/52.48 tff(11622,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1)))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.48 tff(11623,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))),
% 82.87/52.48 inference(quant_inst,[status(thm)],[])).
% 82.87/52.48 tff(11624,plain,
% 82.87/52.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1))),
% 82.87/52.48 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 82.87/52.48 tff(11625,plain,
% 82.87/52.48 (~v130(constB81, 1)),
% 82.87/52.48 inference(unit_resolution,[status(thm)],[11624, 1623, 11501])).
% 82.87/52.48 tff(11626,plain,
% 82.87/52.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 82.87/52.48 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11627,plain,
% 82.87/52.49 ((v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1))) <=> ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11628,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11627])).
% 82.87/52.49 tff(11629,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11628, 11626])).
% 82.87/52.49 tff(11630,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11631,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 82.87/52.49 tff(11632,plain,
% 82.87/52.49 ((~v127(constB81, 1)) | v130(constB81, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11631, 383, 11523])).
% 82.87/52.49 tff(11633,plain,
% 82.87/52.49 (~v127(constB81, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11632, 11625])).
% 82.87/52.49 tff(11634,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11635,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11636,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 82.87/52.49 tff(11637,plain,
% 82.87/52.49 (v127(constB81, 1) | (~v129(constB82, 1))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11636, 401, 11538])).
% 82.87/52.49 tff(11638,plain,
% 82.87/52.49 (~v129(constB82, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11637, 11633])).
% 82.87/52.49 tff(11639,plain,
% 82.87/52.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11640,plain,
% 82.87/52.49 (((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1)) <=> ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11641,plain,
% 82.87/52.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11640])).
% 82.87/52.49 tff(11642,plain,
% 82.87/52.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11641, 11639])).
% 82.87/52.49 tff(11643,plain,
% 82.87/52.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11644,plain,
% 82.87/52.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 82.87/52.49 tff(11645,plain,
% 82.87/52.49 ((~v90(constB82, 1)) | (~v100(constB82))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11644, 416, 11638])).
% 82.87/52.49 tff(11646,plain,
% 82.87/52.49 (~v90(constB82, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11645, 11572])).
% 82.87/52.49 tff(11647,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11648,plain,
% 82.87/52.49 (((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))) <=> (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11649,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11648])).
% 82.87/52.49 tff(11650,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11649, 11647])).
% 82.87/52.49 tff(11651,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11652,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 82.87/52.49 tff(11653,plain,
% 82.87/52.49 (v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11652, 119, 11600])).
% 82.87/52.49 tff(11654,plain,
% 82.87/52.49 (v90(constB82, 1) | (~v90(constB83, 1))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11653, 11612])).
% 82.87/52.49 tff(11655,plain,
% 82.87/52.49 (~v90(constB83, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11654, 11646])).
% 82.87/52.49 tff(11656,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11657,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11658,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 82.87/52.49 tff(11659,plain,
% 82.87/52.49 (v130(constB81, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11658, 1664, 11501])).
% 82.87/52.49 tff(11660,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11661,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11662,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 82.87/52.49 tff(11663,plain,
% 82.87/52.49 ((~v130(constB81, 0)) | v127(constB81, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11662, 478, 11523])).
% 82.87/52.49 tff(11664,plain,
% 82.87/52.49 (v127(constB81, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11663, 11659])).
% 82.87/52.49 tff(11665,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11666,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11667,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 82.87/52.49 tff(11668,plain,
% 82.87/52.49 ((~v127(constB81, 0)) | v129(constB82, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11667, 493, 11538])).
% 82.87/52.49 tff(11669,plain,
% 82.87/52.49 (v129(constB82, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11668, 11664])).
% 82.87/52.49 tff(11670,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11671,plain,
% 82.87/52.49 ((v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0))) <=> (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11672,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11671])).
% 82.87/52.49 tff(11673,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11672, 11670])).
% 82.87/52.49 tff(11674,plain,
% 82.87/52.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11675,plain,
% 82.87/52.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 82.87/52.49 tff(11676,plain,
% 82.87/52.49 (v90(constB82, 0) | (~v100(constB82))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11675, 508, 11669])).
% 82.87/52.49 tff(11677,plain,
% 82.87/52.49 (v90(constB82, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11676, 11572])).
% 82.87/52.49 tff(11678,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11679,plain,
% 82.87/52.49 (((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)) <=> ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11680,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11679])).
% 82.87/52.49 tff(11681,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11680, 11678])).
% 82.87/52.49 tff(11682,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11683,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 82.87/52.49 tff(11684,plain,
% 82.87/52.49 ((~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11683, 526, 11600])).
% 82.87/52.49 tff(11685,plain,
% 82.87/52.49 ((~v90(constB82, 0)) | v90(constB83, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11684, 11612])).
% 82.87/52.49 tff(11686,plain,
% 82.87/52.49 (v90(constB83, 0)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11685, 11677])).
% 82.87/52.49 tff(11687,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11688,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11689,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11688, 11687])).
% 82.87/52.49 tff(11690,plain,
% 82.87/52.49 (v124(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11689, 1705, 11686, 11655, 11621])).
% 82.87/52.49 tff(11691,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11692,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11693,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11692, 11691])).
% 82.87/52.49 tff(11694,plain,
% 82.87/52.49 (v114(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11693, 1741, 11690])).
% 82.87/52.49 tff(11695,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11696,plain,
% 82.87/52.49 (((~v114(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v114(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11697,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11696])).
% 82.87/52.49 tff(11698,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11697, 11695])).
% 82.87/52.49 tff(11699,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11700,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 82.87/52.49 tff(11701,plain,
% 82.87/52.49 (v113(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11700, 242, 11694])).
% 82.87/52.49 tff(11702,assumption,(v26(constB83)), introduced(assumption)).
% 82.87/52.49 tff(11703,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11704,plain,
% 82.87/52.49 ($false),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11703, 19, 11702])).
% 82.87/52.49 tff(11705,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.49 tff(11706,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11707,plain,
% 82.87/52.49 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11708,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11707])).
% 82.87/52.49 tff(11709,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11708, 11706])).
% 82.87/52.49 tff(11710,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11711,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 82.87/52.49 tff(11712,plain,
% 82.87/52.49 (v112(constB83) | (~v113(constB83))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11711, 256, 11705])).
% 82.87/52.49 tff(11713,plain,
% 82.87/52.49 (v112(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11712, 11701])).
% 82.87/52.49 tff(11714,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11715,plain,
% 82.87/52.49 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11716,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11715])).
% 82.87/52.49 tff(11717,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11716, 11714])).
% 82.87/52.49 tff(11718,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11719,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 82.87/52.49 tff(11720,plain,
% 82.87/52.49 (v108(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11719, 268, 11713])).
% 82.87/52.49 tff(11721,plain,
% 82.87/52.49 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11722,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 82.87/52.49 tff(11723,plain,
% 82.87/52.49 (nextState(constB83, constB84)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11722, 11721])).
% 82.87/52.49 tff(11724,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11725,plain,
% 82.87/52.49 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11726,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11725])).
% 82.87/52.49 tff(11727,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11726, 11724])).
% 82.87/52.49 tff(11728,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11729,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 82.87/52.49 tff(11730,plain,
% 82.87/52.49 (v110(constB84) | (~v108(constB83))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11729, 288, 11723])).
% 82.87/52.49 tff(11731,plain,
% 82.87/52.49 (v110(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11730, 11720])).
% 82.87/52.49 tff(11732,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11733,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11734,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 82.87/52.49 tff(11735,plain,
% 82.87/52.49 (~v104(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11734, 306, 11723, 11597])).
% 82.87/52.49 tff(11736,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11737,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11738,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 82.87/52.49 tff(11739,plain,
% 82.87/52.49 (v102(constB84) | v104(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11738, 320, 11723])).
% 82.87/52.49 tff(11740,plain,
% 82.87/52.49 (v102(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11739, 11735])).
% 82.87/52.49 tff(11741,plain,
% 82.87/52.49 (v1(constB84) <=> v1(constB84)),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11742,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 82.87/52.49 tff(11743,plain,
% 82.87/52.49 (v1(constB84)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 82.87/52.49 tff(11744,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11745,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11746,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 82.87/52.49 tff(11747,plain,
% 82.87/52.49 (v101(constB84) | (~v102(constB84))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11746, 338, 11723, 11743])).
% 82.87/52.49 tff(11748,plain,
% 82.87/52.49 (v101(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11747, 11740])).
% 82.87/52.49 tff(11749,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11750,plain,
% 82.87/52.49 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11751,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11750])).
% 82.87/52.49 tff(11752,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11751, 11749])).
% 82.87/52.49 tff(11753,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11754,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 82.87/52.49 tff(11755,plain,
% 82.87/52.49 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11754, 353, 11723])).
% 82.87/52.49 tff(11756,plain,
% 82.87/52.49 (v100(constB84) | (~v110(constB84))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11755, 11748])).
% 82.87/52.49 tff(11757,plain,
% 82.87/52.49 (v100(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11756, 11731])).
% 82.87/52.49 tff(11758,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11759,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11760,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 82.87/52.49 tff(11761,plain,
% 82.87/52.49 (v130(constB83, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11760, 1716, 11690])).
% 82.87/52.49 tff(11762,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11763,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11764,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 82.87/52.49 tff(11765,plain,
% 82.87/52.49 ((~v130(constB83, 2)) | v127(constB83, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11764, 1212, 11705])).
% 82.87/52.49 tff(11766,plain,
% 82.87/52.49 (v127(constB83, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11765, 11761])).
% 82.87/52.49 tff(11767,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11768,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11769,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 82.87/52.49 tff(11770,plain,
% 82.87/52.49 ((~v127(constB83, 2)) | v129(constB84, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11769, 1230, 11723])).
% 82.87/52.49 tff(11771,plain,
% 82.87/52.49 (v129(constB84, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11770, 11766])).
% 82.87/52.49 tff(11772,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11773,plain,
% 82.87/52.49 ((v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2))) <=> (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11774,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11773])).
% 82.87/52.49 tff(11775,plain,
% 82.87/52.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11774, 11772])).
% 82.87/52.49 tff(11776,plain,
% 82.87/52.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11777,plain,
% 82.87/52.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11776, 11775])).
% 82.87/52.49 tff(11778,plain,
% 82.87/52.49 (v90(constB84, 2) | (~v100(constB84))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11777, 1338, 11771])).
% 82.87/52.49 tff(11779,plain,
% 82.87/52.49 (v90(constB84, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11778, 11757])).
% 82.87/52.49 tff(11780,plain,
% 82.87/52.49 ((~v1(constB85)) <=> (~v1(constB85))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11781,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 82.87/52.49 tff(11782,plain,
% 82.87/52.49 (~v1(constB85)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 82.87/52.49 tff(11783,plain,
% 82.87/52.49 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11784,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 82.87/52.49 tff(11785,plain,
% 82.87/52.49 (nextState(constB84, constB85)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 82.87/52.49 tff(11786,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11787,plain,
% 82.87/52.49 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11788,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11787])).
% 82.87/52.49 tff(11789,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11788, 11786])).
% 82.87/52.49 tff(11790,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11791,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 82.87/52.49 tff(11792,plain,
% 82.87/52.49 (~v101(constB85)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11791, 66, 11785, 11782])).
% 82.87/52.49 tff(11793,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11794,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11795,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 82.87/52.49 tff(11796,plain,
% 82.87/52.49 (v101(constB85) | (~v100(constB85))),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11795, 83, 11785])).
% 82.87/52.49 tff(11797,plain,
% 82.87/52.49 (~v100(constB85)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11796, 11792])).
% 82.87/52.49 tff(11798,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11799,plain,
% 82.87/52.49 (((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)) <=> ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11800,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)))),
% 82.87/52.49 inference(monotonicity,[status(thm)],[11799])).
% 82.87/52.49 tff(11801,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 82.87/52.49 inference(transitivity,[status(thm)],[11800, 11798])).
% 82.87/52.49 tff(11802,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11803,plain,
% 82.87/52.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 82.87/52.49 tff(11804,plain,
% 82.87/52.49 ((~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11803, 1374, 11785])).
% 82.87/52.49 tff(11805,plain,
% 82.87/52.49 ((~v90(constB84, 2)) | v90(constB85, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11804, 11797])).
% 82.87/52.49 tff(11806,plain,
% 82.87/52.49 (v90(constB85, 2)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11805, 11779])).
% 82.87/52.49 tff(11807,assumption,(~v125(constB85)), introduced(assumption)).
% 82.87/52.49 tff(11808,assumption,(v124(constB83)), introduced(assumption)).
% 82.87/52.49 tff(11809,plain,
% 82.87/52.49 (v114(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11693, 1741, 11808])).
% 82.87/52.49 tff(11810,plain,
% 82.87/52.49 (v113(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11700, 242, 11809])).
% 82.87/52.49 tff(11811,plain,
% 82.87/52.49 (v112(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11712, 11810])).
% 82.87/52.49 tff(11812,plain,
% 82.87/52.49 (v108(constB83)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11719, 268, 11811])).
% 82.87/52.49 tff(11813,plain,
% 82.87/52.49 (v110(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11730, 11812])).
% 82.87/52.49 tff(11814,plain,
% 82.87/52.49 (v100(constB84)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11756, 11813])).
% 82.87/52.49 tff(11815,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11816,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11817,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 82.87/52.49 tff(11818,plain,
% 82.87/52.49 (v130(constB83, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11817, 1767, 11808])).
% 82.87/52.49 tff(11819,plain,
% 82.87/52.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 82.87/52.49 inference(rewrite,[status(thm)],[])).
% 82.87/52.49 tff(11820,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 82.87/52.49 inference(quant_inst,[status(thm)],[])).
% 82.87/52.49 tff(11821,plain,
% 82.87/52.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1)),
% 82.87/52.49 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 82.87/52.49 tff(11822,plain,
% 82.87/52.49 ((~v130(constB83, 1)) | v127(constB83, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11821, 818, 11705])).
% 82.87/52.49 tff(11823,plain,
% 82.87/52.49 (v127(constB83, 1)),
% 82.87/52.49 inference(unit_resolution,[status(thm)],[11822, 11818])).
% 82.87/52.49 tff(11824,plain,
% 82.87/52.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11825,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11826,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 82.87/52.50 tff(11827,plain,
% 82.87/52.50 ((~v127(constB83, 1)) | v129(constB84, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11826, 833, 11723])).
% 82.87/52.50 tff(11828,plain,
% 82.87/52.50 (v129(constB84, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11827, 11823])).
% 82.87/52.50 tff(11829,plain,
% 82.87/52.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11830,plain,
% 82.87/52.50 ((v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1))) <=> (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11831,plain,
% 82.87/52.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11830])).
% 82.87/52.50 tff(11832,plain,
% 82.87/52.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11831, 11829])).
% 82.87/52.50 tff(11833,plain,
% 82.87/52.50 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11834,plain,
% 82.87/52.50 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 82.87/52.50 tff(11835,plain,
% 82.87/52.50 (v90(constB84, 1) | (~v100(constB84))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11834, 848, 11828])).
% 82.87/52.50 tff(11836,plain,
% 82.87/52.50 (v90(constB84, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11835, 11814])).
% 82.87/52.50 tff(11837,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11838,plain,
% 82.87/52.50 (((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)) <=> ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11839,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11838])).
% 82.87/52.50 tff(11840,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11839, 11837])).
% 82.87/52.50 tff(11841,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11842,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 82.87/52.50 tff(11843,plain,
% 82.87/52.50 ((~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11842, 866, 11785])).
% 82.87/52.50 tff(11844,plain,
% 82.87/52.50 ((~v90(constB84, 1)) | v90(constB85, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11843, 11797])).
% 82.87/52.50 tff(11845,plain,
% 82.87/52.50 (v90(constB85, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11844, 11836])).
% 82.87/52.50 tff(11846,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11847,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11848,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11847, 11846])).
% 82.87/52.50 tff(11849,plain,
% 82.87/52.50 (~v130(constB83, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11848, 1882, 11808])).
% 82.87/52.50 tff(11850,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11851,plain,
% 82.87/52.50 ((v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0))) <=> ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11852,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11851])).
% 82.87/52.50 tff(11853,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11852, 11850])).
% 82.87/52.50 tff(11854,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11855,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 82.87/52.50 tff(11856,plain,
% 82.87/52.50 ((~v127(constB83, 0)) | v130(constB83, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11855, 896, 11705])).
% 82.87/52.50 tff(11857,plain,
% 82.87/52.50 (~v127(constB83, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11856, 11849])).
% 82.87/52.50 tff(11858,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11859,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11860,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 82.87/52.50 tff(11861,plain,
% 82.87/52.50 (v127(constB83, 0) | (~v129(constB84, 0))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11860, 914, 11723])).
% 82.87/52.50 tff(11862,plain,
% 82.87/52.50 (~v129(constB84, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11861, 11857])).
% 82.87/52.50 tff(11863,plain,
% 82.87/52.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11864,plain,
% 82.87/52.50 (((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0)) <=> ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11865,plain,
% 82.87/52.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11864])).
% 82.87/52.50 tff(11866,plain,
% 82.87/52.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11865, 11863])).
% 82.87/52.50 tff(11867,plain,
% 82.87/52.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11868,plain,
% 82.87/52.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11867, 11866])).
% 82.87/52.50 tff(11869,plain,
% 82.87/52.50 ((~v90(constB84, 0)) | (~v100(constB84))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11868, 929, 11862])).
% 82.87/52.50 tff(11870,plain,
% 82.87/52.50 (~v90(constB84, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11869, 11814])).
% 82.87/52.50 tff(11871,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11872,plain,
% 82.87/52.50 (((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))) <=> (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11873,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11872])).
% 82.87/52.50 tff(11874,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11873, 11871])).
% 82.87/52.50 tff(11875,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11876,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11875, 11874])).
% 82.87/52.50 tff(11877,plain,
% 82.87/52.50 (v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11876, 140, 11785])).
% 82.87/52.50 tff(11878,plain,
% 82.87/52.50 (v90(constB84, 0) | (~v90(constB85, 0))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11877, 11797])).
% 82.87/52.50 tff(11879,plain,
% 82.87/52.50 (~v90(constB85, 0)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11878, 11870])).
% 82.87/52.50 tff(11880,assumption,(v90(constB85, 2)), introduced(assumption)).
% 82.87/52.50 tff(11881,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11882,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11883,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 82.87/52.50 tff(11884,plain,
% 82.87/52.50 (v90(constB85, 0) | (~v90(constB85, 1)) | v125(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11883, 1934, 11880])).
% 82.87/52.50 tff(11885,plain,
% 82.87/52.50 ($false),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11884, 11879, 11845, 11807])).
% 82.87/52.50 tff(11886,plain,((~v124(constB83)) | v125(constB85) | (~v90(constB85, 2))), inference(lemma,lemma(discharge,[]))).
% 82.87/52.50 tff(11887,plain,
% 82.87/52.50 (v125(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11886, 11806, 11690])).
% 82.87/52.50 tff(11888,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11889,plain,
% 82.87/52.50 (((~v125(constB85)) | v113(constB85)) <=> (v113(constB85) | (~v125(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11890,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11889])).
% 82.87/52.50 tff(11891,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11890, 11888])).
% 82.87/52.50 tff(11892,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11893,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11892, 11891])).
% 82.87/52.50 tff(11894,plain,
% 82.87/52.50 (v113(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11893, 1946, 11887])).
% 82.87/52.50 tff(11895,assumption,(v26(constB85)), introduced(assumption)).
% 82.87/52.50 tff(11896,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11897,plain,
% 82.87/52.50 ($false),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11896, 19, 11895])).
% 82.87/52.50 tff(11898,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.50 tff(11899,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11900,plain,
% 82.87/52.50 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11901,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11900])).
% 82.87/52.50 tff(11902,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11901, 11899])).
% 82.87/52.50 tff(11903,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11904,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11903, 11902])).
% 82.87/52.50 tff(11905,plain,
% 82.87/52.50 (v112(constB85) | (~v113(constB85))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11904, 256, 11898])).
% 82.87/52.50 tff(11906,plain,
% 82.87/52.50 (v112(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11905, 11894])).
% 82.87/52.50 tff(11907,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11908,plain,
% 82.87/52.50 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11909,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11908])).
% 82.87/52.50 tff(11910,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11909, 11907])).
% 82.87/52.50 tff(11911,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11912,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11911, 11910])).
% 82.87/52.50 tff(11913,plain,
% 82.87/52.50 (v108(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11912, 268, 11906])).
% 82.87/52.50 tff(11914,plain,
% 82.87/52.50 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11915,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 82.87/52.50 tff(11916,plain,
% 82.87/52.50 (nextState(constB85, constB86)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11915, 11914])).
% 82.87/52.50 tff(11917,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11918,plain,
% 82.87/52.50 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11919,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11918])).
% 82.87/52.50 tff(11920,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11919, 11917])).
% 82.87/52.50 tff(11921,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11922,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11921, 11920])).
% 82.87/52.50 tff(11923,plain,
% 82.87/52.50 (v110(constB86) | (~v108(constB85))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11922, 288, 11916])).
% 82.87/52.50 tff(11924,plain,
% 82.87/52.50 (v110(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11923, 11913])).
% 82.87/52.50 tff(11925,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11926,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11927,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 82.87/52.50 tff(11928,plain,
% 82.87/52.50 (~v104(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11927, 306, 11916, 11782])).
% 82.87/52.50 tff(11929,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11930,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11931,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 82.87/52.50 tff(11932,plain,
% 82.87/52.50 (v102(constB86) | v104(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11931, 320, 11916])).
% 82.87/52.50 tff(11933,plain,
% 82.87/52.50 (v102(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11932, 11928])).
% 82.87/52.50 tff(11934,plain,
% 82.87/52.50 (v1(constB86) <=> v1(constB86)),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11935,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 82.87/52.50 tff(11936,plain,
% 82.87/52.50 (v1(constB86)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11935, 11934])).
% 82.87/52.50 tff(11937,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11938,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11939,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11938, 11937])).
% 82.87/52.50 tff(11940,plain,
% 82.87/52.50 (v101(constB86) | (~v102(constB86))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11939, 338, 11916, 11936])).
% 82.87/52.50 tff(11941,plain,
% 82.87/52.50 (v101(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11940, 11933])).
% 82.87/52.50 tff(11942,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11943,plain,
% 82.87/52.50 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11944,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11943])).
% 82.87/52.50 tff(11945,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11944, 11942])).
% 82.87/52.50 tff(11946,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11947,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 82.87/52.50 tff(11948,plain,
% 82.87/52.50 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11947, 353, 11916])).
% 82.87/52.50 tff(11949,plain,
% 82.87/52.50 (v100(constB86) | (~v110(constB86))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11948, 11941])).
% 82.87/52.50 tff(11950,plain,
% 82.87/52.50 (v100(constB86)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11949, 11924])).
% 82.87/52.50 tff(11951,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11952,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11953,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 82.87/52.50 tff(11954,plain,
% 82.87/52.50 (~v121(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11953, 2017, 11806])).
% 82.87/52.50 tff(11955,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11956,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11957,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 82.87/52.50 tff(11958,plain,
% 82.87/52.50 (~v122(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11957, 2006, 11806])).
% 82.87/52.50 tff(11959,plain,
% 82.87/52.50 (v130(constB83, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11817, 1767, 11690])).
% 82.87/52.50 tff(11960,plain,
% 82.87/52.50 (v127(constB83, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11822, 11959])).
% 82.87/52.50 tff(11961,plain,
% 82.87/52.50 (v129(constB84, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11827, 11960])).
% 82.87/52.50 tff(11962,plain,
% 82.87/52.50 (v90(constB84, 1) | (~v100(constB84))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11834, 848, 11961])).
% 82.87/52.50 tff(11963,plain,
% 82.87/52.50 (v90(constB84, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11962, 11757])).
% 82.87/52.50 tff(11964,plain,
% 82.87/52.50 (v90(constB85, 1)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11844, 11963])).
% 82.87/52.50 tff(11965,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11966,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11967,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 82.87/52.50 tff(11968,plain,
% 82.87/52.50 (~v119(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11967, 2028, 11964])).
% 82.87/52.50 tff(11969,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11970,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11971,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11970, 11969])).
% 82.87/52.50 tff(11972,plain,
% 82.87/52.50 (~v120(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11971, 2039, 11964])).
% 82.87/52.50 tff(11973,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11974,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11975,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11974, 11973])).
% 82.87/52.50 tff(11976,plain,
% 82.87/52.50 (~v124(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11975, 2061, 11964])).
% 82.87/52.50 tff(11977,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11978,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11979,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 82.87/52.50 tff(11980,plain,
% 82.87/52.50 (~v123(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11979, 2050, 11964])).
% 82.87/52.50 tff(11981,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11982,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11983,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 82.87/52.50 tff(11984,plain,
% 82.87/52.50 (~v130(constB85, 2)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11983, 2075, 11980, 11976, 11972, 11968, 11958, 11954])).
% 82.87/52.50 tff(11985,assumption,(v127(constB85, 2)), introduced(assumption)).
% 82.87/52.50 tff(11986,assumption,(~v130(constB85, 2)), introduced(assumption)).
% 82.87/52.50 tff(11987,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11988,plain,
% 82.87/52.50 ((v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2))) <=> ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11989,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)))),
% 82.87/52.50 inference(monotonicity,[status(thm)],[11988])).
% 82.87/52.50 tff(11990,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 82.87/52.50 inference(transitivity,[status(thm)],[11989, 11987])).
% 82.87/52.50 tff(11991,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11992,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11991, 11990])).
% 82.87/52.50 tff(11993,plain,
% 82.87/52.50 ((~v127(constB85, 2)) | v26(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11992, 556, 11986])).
% 82.87/52.50 tff(11994,plain,
% 82.87/52.50 (v26(constB85)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11993, 11985])).
% 82.87/52.50 tff(11995,plain,
% 82.87/52.50 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB85)) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB85)) | (~v127(constB85, 2)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(11996,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB85)) | (~v127(constB85, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(11997,plain,
% 82.87/52.50 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB85)) | (~v127(constB85, 2))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 82.87/52.50 tff(11998,plain,
% 82.87/52.50 ($false),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11997, 10857, 11985, 11994])).
% 82.87/52.50 tff(11999,plain,((~v127(constB85, 2)) | v130(constB85, 2)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.50 tff(12000,plain,
% 82.87/52.50 (~v127(constB85, 2)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[11999, 11984])).
% 82.87/52.50 tff(12001,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12002,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(12003,plain,
% 82.87/52.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[12002, 12001])).
% 82.87/52.50 tff(12004,plain,
% 82.87/52.50 (v127(constB85, 2) | (~v129(constB86, 2))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[12003, 574, 11916])).
% 82.87/52.50 tff(12005,plain,
% 82.87/52.50 (~v129(constB86, 2)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[12004, 12000])).
% 82.87/52.50 tff(12006,plain,
% 82.87/52.50 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12007,plain,
% 82.87/52.50 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 82.87/52.50 inference(quant_inst,[status(thm)],[])).
% 82.87/52.50 tff(12008,plain,
% 82.87/52.50 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86))),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 82.87/52.50 tff(12009,plain,
% 82.87/52.50 ((~v90(constB86, 2)) | (~v100(constB86))),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[12008, 589, 12005])).
% 82.87/52.50 tff(12010,plain,
% 82.87/52.50 (~v90(constB86, 2)),
% 82.87/52.50 inference(unit_resolution,[status(thm)],[12009, 11950])).
% 82.87/52.50 tff(12011,plain,
% 82.87/52.50 ((~v1(constB87)) <=> (~v1(constB87))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12012,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 82.87/52.50 tff(12013,plain,
% 82.87/52.50 (~v1(constB87)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 82.87/52.50 tff(12014,plain,
% 82.87/52.50 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12015,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 82.87/52.50 tff(12016,plain,
% 82.87/52.50 (nextState(constB86, constB87)),
% 82.87/52.50 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 82.87/52.50 tff(12017,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12018,plain,
% 82.87/52.50 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 82.87/52.50 inference(rewrite,[status(thm)],[])).
% 82.87/52.50 tff(12019,plain,
% 82.87/52.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12018])).
% 82.87/52.51 tff(12020,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12019, 12017])).
% 82.87/52.51 tff(12021,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12022,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 82.87/52.51 tff(12023,plain,
% 82.87/52.51 (~v101(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12022, 66, 12016, 12013])).
% 82.87/52.51 tff(12024,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12025,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12026,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12025, 12024])).
% 82.87/52.51 tff(12027,plain,
% 82.87/52.51 (v101(constB87) | (~v100(constB87))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12026, 83, 12016])).
% 82.87/52.51 tff(12028,plain,
% 82.87/52.51 (~v100(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12027, 12023])).
% 82.87/52.51 tff(12029,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12030,plain,
% 82.87/52.51 (((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))) <=> (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12031,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12030])).
% 82.87/52.51 tff(12032,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12031, 12029])).
% 82.87/52.51 tff(12033,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12034,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 82.87/52.51 tff(12035,plain,
% 82.87/52.51 (v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12034, 98, 12016])).
% 82.87/52.51 tff(12036,plain,
% 82.87/52.51 (v90(constB86, 2) | (~v90(constB87, 2))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12035, 12028])).
% 82.87/52.51 tff(12037,plain,
% 82.87/52.51 (~v90(constB87, 2)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12036, 12010])).
% 82.87/52.51 tff(12038,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12039,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12040,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 82.87/52.51 tff(12041,plain,
% 82.87/52.51 (~v130(constB85, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12040, 2135, 11980, 11976, 11972, 11968, 11958, 11954])).
% 82.87/52.51 tff(12042,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12043,plain,
% 82.87/52.51 ((v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1))) <=> ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12044,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12043])).
% 82.87/52.51 tff(12045,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12044, 12042])).
% 82.87/52.51 tff(12046,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12047,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 82.87/52.51 tff(12048,plain,
% 82.87/52.51 ((~v127(constB85, 1)) | v130(constB85, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12047, 383, 11898])).
% 82.87/52.51 tff(12049,plain,
% 82.87/52.51 (~v127(constB85, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12048, 12041])).
% 82.87/52.51 tff(12050,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12051,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12052,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 82.87/52.51 tff(12053,plain,
% 82.87/52.51 (v127(constB85, 1) | (~v129(constB86, 1))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12052, 401, 11916])).
% 82.87/52.51 tff(12054,plain,
% 82.87/52.51 (~v129(constB86, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12053, 12049])).
% 82.87/52.51 tff(12055,plain,
% 82.87/52.51 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12056,plain,
% 82.87/52.51 (((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1)) <=> ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12057,plain,
% 82.87/52.51 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12056])).
% 82.87/52.51 tff(12058,plain,
% 82.87/52.51 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12057, 12055])).
% 82.87/52.51 tff(12059,plain,
% 82.87/52.51 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12060,plain,
% 82.87/52.51 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12059, 12058])).
% 82.87/52.51 tff(12061,plain,
% 82.87/52.51 ((~v90(constB86, 1)) | (~v100(constB86))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12060, 416, 12054])).
% 82.87/52.51 tff(12062,plain,
% 82.87/52.51 (~v90(constB86, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12061, 11950])).
% 82.87/52.51 tff(12063,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12064,plain,
% 82.87/52.51 (((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))) <=> (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12065,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12064])).
% 82.87/52.51 tff(12066,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12065, 12063])).
% 82.87/52.51 tff(12067,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12068,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 82.87/52.51 tff(12069,plain,
% 82.87/52.51 (v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12068, 119, 12016])).
% 82.87/52.51 tff(12070,plain,
% 82.87/52.51 (v90(constB86, 1) | (~v90(constB87, 1))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12069, 12028])).
% 82.87/52.51 tff(12071,plain,
% 82.87/52.51 (~v90(constB87, 1)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12070, 12062])).
% 82.87/52.51 tff(12072,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12073,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12074,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 82.87/52.51 tff(12075,plain,
% 82.87/52.51 (v130(constB85, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12074, 2180, 11980, 11976, 11972, 11968, 11958, 11954])).
% 82.87/52.51 tff(12076,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12077,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12078,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12077, 12076])).
% 82.87/52.51 tff(12079,plain,
% 82.87/52.51 ((~v130(constB85, 0)) | v127(constB85, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12078, 478, 11898])).
% 82.87/52.51 tff(12080,plain,
% 82.87/52.51 (v127(constB85, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12079, 12075])).
% 82.87/52.51 tff(12081,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12082,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12083,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 82.87/52.51 tff(12084,plain,
% 82.87/52.51 ((~v127(constB85, 0)) | v129(constB86, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12083, 493, 11916])).
% 82.87/52.51 tff(12085,plain,
% 82.87/52.51 (v129(constB86, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12084, 12080])).
% 82.87/52.51 tff(12086,plain,
% 82.87/52.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12087,plain,
% 82.87/52.51 ((v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0))) <=> (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12088,plain,
% 82.87/52.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12087])).
% 82.87/52.51 tff(12089,plain,
% 82.87/52.51 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12088, 12086])).
% 82.87/52.51 tff(12090,plain,
% 82.87/52.51 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12091,plain,
% 82.87/52.51 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 82.87/52.51 tff(12092,plain,
% 82.87/52.51 (v90(constB86, 0) | (~v100(constB86))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12091, 508, 12085])).
% 82.87/52.51 tff(12093,plain,
% 82.87/52.51 (v90(constB86, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12092, 11950])).
% 82.87/52.51 tff(12094,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12095,plain,
% 82.87/52.51 (((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)) <=> ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12096,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12095])).
% 82.87/52.51 tff(12097,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12096, 12094])).
% 82.87/52.51 tff(12098,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12099,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12098, 12097])).
% 82.87/52.51 tff(12100,plain,
% 82.87/52.51 ((~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12099, 526, 12016])).
% 82.87/52.51 tff(12101,plain,
% 82.87/52.51 ((~v90(constB86, 0)) | v90(constB87, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12100, 12028])).
% 82.87/52.51 tff(12102,plain,
% 82.87/52.51 (v90(constB87, 0)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12101, 12093])).
% 82.87/52.51 tff(12103,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12104,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12105,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 82.87/52.51 tff(12106,plain,
% 82.87/52.51 (v120(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12105, 614, 12102, 12071, 12037])).
% 82.87/52.51 tff(12107,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB87)) | v118(constB87))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12108,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12109,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB87)) | v118(constB87)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 82.87/52.51 tff(12110,plain,
% 82.87/52.51 (v118(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12109, 628, 12106])).
% 82.87/52.51 tff(12111,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12112,plain,
% 82.87/52.51 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12113,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12112])).
% 82.87/52.51 tff(12114,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12113, 12111])).
% 82.87/52.51 tff(12115,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12116,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 82.87/52.51 tff(12117,plain,
% 82.87/52.51 (v117(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12116, 186, 12110])).
% 82.87/52.51 tff(12118,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12119,plain,
% 82.87/52.51 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12120,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12119])).
% 82.87/52.51 tff(12121,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12120, 12118])).
% 82.87/52.51 tff(12122,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12123,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 82.87/52.51 tff(12124,plain,
% 82.87/52.51 (v116(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12123, 200, 12117])).
% 82.87/52.51 tff(12125,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12126,plain,
% 82.87/52.51 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12127,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12126])).
% 82.87/52.51 tff(12128,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12127, 12125])).
% 82.87/52.51 tff(12129,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12130,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 82.87/52.51 tff(12131,plain,
% 82.87/52.51 (v115(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12130, 214, 12124])).
% 82.87/52.51 tff(12132,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12133,plain,
% 82.87/52.51 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12134,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12133])).
% 82.87/52.51 tff(12135,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12134, 12132])).
% 82.87/52.51 tff(12136,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12137,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12136, 12135])).
% 82.87/52.51 tff(12138,plain,
% 82.87/52.51 (v114(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12137, 228, 12131])).
% 82.87/52.51 tff(12139,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB87)) | v113(constB87))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12140,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12141,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB87)) | v113(constB87)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 82.87/52.51 tff(12142,plain,
% 82.87/52.51 (v113(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12141, 242, 12138])).
% 82.87/52.51 tff(12143,assumption,(v26(constB87)), introduced(assumption)).
% 82.87/52.51 tff(12144,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12145,plain,
% 82.87/52.51 ($false),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12144, 19, 12143])).
% 82.87/52.51 tff(12146,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 82.87/52.51 tff(12147,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12148,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12149,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | (~v113(constB87)) | v112(constB87)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12148, 12147])).
% 82.87/52.51 tff(12150,plain,
% 82.87/52.51 ((~v113(constB87)) | v112(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12149, 256, 12146])).
% 82.87/52.51 tff(12151,plain,
% 82.87/52.51 (v112(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12150, 12142])).
% 82.87/52.51 tff(12152,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12153,plain,
% 82.87/52.51 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12154,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12153])).
% 82.87/52.51 tff(12155,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12154, 12152])).
% 82.87/52.51 tff(12156,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12157,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 82.87/52.51 tff(12158,plain,
% 82.87/52.51 (v108(constB87)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12157, 268, 12151])).
% 82.87/52.51 tff(12159,plain,
% 82.87/52.51 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12160,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 82.87/52.51 tff(12161,plain,
% 82.87/52.51 (nextState(constB87, constB88)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 82.87/52.51 tff(12162,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12163,plain,
% 82.87/52.51 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12164,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12163])).
% 82.87/52.51 tff(12165,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12164, 12162])).
% 82.87/52.51 tff(12166,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12167,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 82.87/52.51 tff(12168,plain,
% 82.87/52.51 (v110(constB88) | (~v108(constB87))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12167, 288, 12161])).
% 82.87/52.51 tff(12169,plain,
% 82.87/52.51 (v110(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12168, 12158])).
% 82.87/52.51 tff(12170,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12171,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12172,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12171, 12170])).
% 82.87/52.51 tff(12173,plain,
% 82.87/52.51 (~v104(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12172, 306, 12161, 12013])).
% 82.87/52.51 tff(12174,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12175,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12176,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12175, 12174])).
% 82.87/52.51 tff(12177,plain,
% 82.87/52.51 (v102(constB88) | v104(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12176, 320, 12161])).
% 82.87/52.51 tff(12178,plain,
% 82.87/52.51 (v102(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12177, 12173])).
% 82.87/52.51 tff(12179,plain,
% 82.87/52.51 (v1(constB88) <=> v1(constB88)),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12180,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 82.87/52.51 tff(12181,plain,
% 82.87/52.51 (v1(constB88)),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12180, 12179])).
% 82.87/52.51 tff(12182,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12183,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12184,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12183, 12182])).
% 82.87/52.51 tff(12185,plain,
% 82.87/52.51 (v101(constB88) | (~v102(constB88))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12184, 338, 12161, 12181])).
% 82.87/52.51 tff(12186,plain,
% 82.87/52.51 (v101(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12185, 12178])).
% 82.87/52.51 tff(12187,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12188,plain,
% 82.87/52.51 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12189,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 82.87/52.51 inference(monotonicity,[status(thm)],[12188])).
% 82.87/52.51 tff(12190,plain,
% 82.87/52.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 82.87/52.51 inference(transitivity,[status(thm)],[12189, 12187])).
% 82.87/52.51 tff(12191,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12192,plain,
% 82.87/52.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12191, 12190])).
% 82.87/52.51 tff(12193,plain,
% 82.87/52.51 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12192, 353, 12161])).
% 82.87/52.51 tff(12194,plain,
% 82.87/52.51 (v100(constB88) | (~v110(constB88))),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12193, 12186])).
% 82.87/52.51 tff(12195,plain,
% 82.87/52.51 (v100(constB88)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12194, 12169])).
% 82.87/52.51 tff(12196,plain,
% 82.87/52.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2)))),
% 82.87/52.51 inference(rewrite,[status(thm)],[])).
% 82.87/52.51 tff(12197,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))),
% 82.87/52.51 inference(quant_inst,[status(thm)],[])).
% 82.87/52.51 tff(12198,plain,
% 82.87/52.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2))),
% 82.87/52.51 inference(modus_ponens,[status(thm)],[12197, 12196])).
% 82.87/52.51 tff(12199,plain,
% 82.87/52.51 (~v130(constB87, 2)),
% 82.87/52.51 inference(unit_resolution,[status(thm)],[12198, 744, 12106])).
% 82.87/52.52 tff(12200,plain,
% 82.87/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12201,plain,
% 82.87/52.52 ((v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2))) <=> ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12202,plain,
% 82.87/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)))),
% 82.87/52.52 inference(monotonicity,[status(thm)],[12201])).
% 82.87/52.52 tff(12203,plain,
% 82.87/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 82.87/52.52 inference(transitivity,[status(thm)],[12202, 12200])).
% 82.87/52.52 tff(12204,plain,
% 82.87/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))),
% 82.87/52.52 inference(quant_inst,[status(thm)],[])).
% 82.87/52.52 tff(12205,plain,
% 82.87/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 82.87/52.52 tff(12206,plain,
% 82.87/52.52 ((~v127(constB87, 2)) | v130(constB87, 2)),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12205, 556, 12146])).
% 82.87/52.52 tff(12207,plain,
% 82.87/52.52 (~v127(constB87, 2)),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12206, 12199])).
% 82.87/52.52 tff(12208,plain,
% 82.87/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12209,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 82.87/52.52 inference(quant_inst,[status(thm)],[])).
% 82.87/52.52 tff(12210,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2))),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12209, 12208])).
% 82.87/52.52 tff(12211,plain,
% 82.87/52.52 (v127(constB87, 2) | (~v129(constB88, 2))),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12210, 574, 12161])).
% 82.87/52.52 tff(12212,plain,
% 82.87/52.52 (~v129(constB88, 2)),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12211, 12207])).
% 82.87/52.52 tff(12213,plain,
% 82.87/52.52 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12214,plain,
% 82.87/52.52 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 82.87/52.52 inference(quant_inst,[status(thm)],[])).
% 82.87/52.52 tff(12215,plain,
% 82.87/52.52 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88))),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12214, 12213])).
% 82.87/52.52 tff(12216,plain,
% 82.87/52.52 ((~v90(constB88, 2)) | (~v100(constB88))),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12215, 589, 12212])).
% 82.87/52.52 tff(12217,plain,
% 82.87/52.52 (~v90(constB88, 2)),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12216, 12195])).
% 82.87/52.52 tff(12218,plain,
% 82.87/52.52 ((~v1(constB89)) <=> (~v1(constB89))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12219,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 82.87/52.52 tff(12220,plain,
% 82.87/52.52 (~v1(constB89)),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 82.87/52.52 tff(12221,plain,
% 82.87/52.52 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12222,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 82.87/52.52 tff(12223,plain,
% 82.87/52.52 (nextState(constB88, constB89)),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12222, 12221])).
% 82.87/52.52 tff(12224,plain,
% 82.87/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12225,plain,
% 82.87/52.52 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12226,plain,
% 82.87/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 82.87/52.52 inference(monotonicity,[status(thm)],[12225])).
% 82.87/52.52 tff(12227,plain,
% 82.87/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 82.87/52.52 inference(transitivity,[status(thm)],[12226, 12224])).
% 82.87/52.52 tff(12228,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 82.87/52.52 inference(quant_inst,[status(thm)],[])).
% 82.87/52.52 tff(12229,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 82.87/52.52 tff(12230,plain,
% 82.87/52.52 (~v101(constB89)),
% 82.87/52.52 inference(unit_resolution,[status(thm)],[12229, 66, 12223, 12220])).
% 82.87/52.52 tff(12231,plain,
% 82.87/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 82.87/52.52 inference(rewrite,[status(thm)],[])).
% 82.87/52.52 tff(12232,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 82.87/52.52 inference(quant_inst,[status(thm)],[])).
% 82.87/52.52 tff(12233,plain,
% 82.87/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 82.87/52.52 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 82.95/52.52 tff(12234,plain,
% 82.95/52.52 (v101(constB89) | (~v100(constB89))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12233, 83, 12223])).
% 82.95/52.52 tff(12235,plain,
% 82.95/52.52 (~v100(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12234, 12230])).
% 82.95/52.52 tff(12236,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12237,plain,
% 82.95/52.52 (((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))) <=> (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12238,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12237])).
% 82.95/52.52 tff(12239,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12238, 12236])).
% 82.95/52.52 tff(12240,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12241,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 82.95/52.52 tff(12242,plain,
% 82.95/52.52 (v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12241, 98, 12223])).
% 82.95/52.52 tff(12243,plain,
% 82.95/52.52 (v90(constB88, 2) | (~v90(constB89, 2))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12242, 12235])).
% 82.95/52.52 tff(12244,plain,
% 82.95/52.52 (~v90(constB89, 2)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12243, 12217])).
% 82.95/52.52 tff(12245,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12246,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12247,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 82.95/52.52 tff(12248,plain,
% 82.95/52.52 (v130(constB87, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12247, 804, 12106])).
% 82.95/52.52 tff(12249,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12250,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12251,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12250, 12249])).
% 82.95/52.52 tff(12252,plain,
% 82.95/52.52 ((~v130(constB87, 1)) | v127(constB87, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12251, 818, 12146])).
% 82.95/52.52 tff(12253,plain,
% 82.95/52.52 (v127(constB87, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12252, 12248])).
% 82.95/52.52 tff(12254,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12255,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12256,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 82.95/52.52 tff(12257,plain,
% 82.95/52.52 ((~v127(constB87, 1)) | v129(constB88, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12256, 833, 12161])).
% 82.95/52.52 tff(12258,plain,
% 82.95/52.52 (v129(constB88, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12257, 12253])).
% 82.95/52.52 tff(12259,plain,
% 82.95/52.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12260,plain,
% 82.95/52.52 ((v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1))) <=> (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12261,plain,
% 82.95/52.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12260])).
% 82.95/52.52 tff(12262,plain,
% 82.95/52.52 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12261, 12259])).
% 82.95/52.52 tff(12263,plain,
% 82.95/52.52 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12264,plain,
% 82.95/52.52 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 82.95/52.52 tff(12265,plain,
% 82.95/52.52 (v90(constB88, 1) | (~v100(constB88))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12264, 848, 12258])).
% 82.95/52.52 tff(12266,plain,
% 82.95/52.52 (v90(constB88, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12265, 12195])).
% 82.95/52.52 tff(12267,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12268,plain,
% 82.95/52.52 (((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)) <=> ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12269,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12268])).
% 82.95/52.52 tff(12270,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12269, 12267])).
% 82.95/52.52 tff(12271,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12272,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 82.95/52.52 tff(12273,plain,
% 82.95/52.52 ((~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12272, 866, 12223])).
% 82.95/52.52 tff(12274,plain,
% 82.95/52.52 ((~v90(constB88, 1)) | v90(constB89, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12273, 12235])).
% 82.95/52.52 tff(12275,plain,
% 82.95/52.52 (v90(constB89, 1)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12274, 12266])).
% 82.95/52.52 tff(12276,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12277,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12278,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 82.95/52.52 tff(12279,plain,
% 82.95/52.52 (~v130(constB87, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12278, 882, 12106])).
% 82.95/52.52 tff(12280,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12281,plain,
% 82.95/52.52 ((v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0))) <=> ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12282,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12281])).
% 82.95/52.52 tff(12283,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12282, 12280])).
% 82.95/52.52 tff(12284,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12285,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12284, 12283])).
% 82.95/52.52 tff(12286,plain,
% 82.95/52.52 ((~v127(constB87, 0)) | v130(constB87, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12285, 896, 12146])).
% 82.95/52.52 tff(12287,plain,
% 82.95/52.52 (~v127(constB87, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12286, 12279])).
% 82.95/52.52 tff(12288,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12289,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12290,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12289, 12288])).
% 82.95/52.52 tff(12291,plain,
% 82.95/52.52 (v127(constB87, 0) | (~v129(constB88, 0))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12290, 914, 12161])).
% 82.95/52.52 tff(12292,plain,
% 82.95/52.52 (~v129(constB88, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12291, 12287])).
% 82.95/52.52 tff(12293,plain,
% 82.95/52.52 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12294,plain,
% 82.95/52.52 (((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0)) <=> ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12295,plain,
% 82.95/52.52 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12294])).
% 82.95/52.52 tff(12296,plain,
% 82.95/52.52 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12295, 12293])).
% 82.95/52.52 tff(12297,plain,
% 82.95/52.52 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12298,plain,
% 82.95/52.52 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 82.95/52.52 tff(12299,plain,
% 82.95/52.52 ((~v90(constB88, 0)) | (~v100(constB88))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12298, 929, 12292])).
% 82.95/52.52 tff(12300,plain,
% 82.95/52.52 (~v90(constB88, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12299, 12195])).
% 82.95/52.52 tff(12301,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12302,plain,
% 82.95/52.52 (((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))) <=> (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12303,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12302])).
% 82.95/52.52 tff(12304,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12303, 12301])).
% 82.95/52.52 tff(12305,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12306,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12305, 12304])).
% 82.95/52.52 tff(12307,plain,
% 82.95/52.52 (v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12306, 140, 12223])).
% 82.95/52.52 tff(12308,plain,
% 82.95/52.52 (v90(constB88, 0) | (~v90(constB89, 0))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12307, 12235])).
% 82.95/52.52 tff(12309,plain,
% 82.95/52.52 (~v90(constB89, 0)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12308, 12300])).
% 82.95/52.52 tff(12310,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12311,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12312,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12311, 12310])).
% 82.95/52.52 tff(12313,plain,
% 82.95/52.52 (v121(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12312, 956, 12309, 12275, 12244])).
% 82.95/52.52 tff(12314,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB89)) | v117(constB89))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12315,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12316,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB89)) | v117(constB89)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 82.95/52.52 tff(12317,plain,
% 82.95/52.52 (v117(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12316, 967, 12313])).
% 82.95/52.52 tff(12318,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12319,plain,
% 82.95/52.52 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12320,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12319])).
% 82.95/52.52 tff(12321,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12320, 12318])).
% 82.95/52.52 tff(12322,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12323,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 82.95/52.52 tff(12324,plain,
% 82.95/52.52 (v116(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12323, 200, 12317])).
% 82.95/52.52 tff(12325,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12326,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12327,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 82.95/52.52 tff(12328,plain,
% 82.95/52.52 (v115(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12327, 214, 12324])).
% 82.95/52.52 tff(12329,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12330,plain,
% 82.95/52.52 (((~v115(constB89)) | v114(constB89)) <=> (v114(constB89) | (~v115(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12331,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12330])).
% 82.95/52.52 tff(12332,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12331, 12329])).
% 82.95/52.52 tff(12333,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12334,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 82.95/52.52 tff(12335,plain,
% 82.95/52.52 (v114(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12334, 228, 12328])).
% 82.95/52.52 tff(12336,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12337,plain,
% 82.95/52.52 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12338,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12337])).
% 82.95/52.52 tff(12339,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12338, 12336])).
% 82.95/52.52 tff(12340,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12341,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12340, 12339])).
% 82.95/52.52 tff(12342,plain,
% 82.95/52.52 (v113(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12341, 242, 12335])).
% 82.95/52.52 tff(12343,assumption,(v26(constB89)), introduced(assumption)).
% 82.95/52.52 tff(12344,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12345,plain,
% 82.95/52.52 ($false),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12344, 19, 12343])).
% 82.95/52.52 tff(12346,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.52 tff(12347,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12348,plain,
% 82.95/52.52 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12349,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | v112(constB89) | (~v113(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12348])).
% 82.95/52.52 tff(12350,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12349, 12347])).
% 82.95/52.52 tff(12351,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12352,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 82.95/52.52 tff(12353,plain,
% 82.95/52.52 (v112(constB89) | (~v113(constB89))),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12352, 256, 12346])).
% 82.95/52.52 tff(12354,plain,
% 82.95/52.52 (v112(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12353, 12342])).
% 82.95/52.52 tff(12355,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12356,plain,
% 82.95/52.52 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12357,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12356])).
% 82.95/52.52 tff(12358,plain,
% 82.95/52.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12357, 12355])).
% 82.95/52.52 tff(12359,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 82.95/52.52 inference(quant_inst,[status(thm)],[])).
% 82.95/52.52 tff(12360,plain,
% 82.95/52.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12359, 12358])).
% 82.95/52.52 tff(12361,plain,
% 82.95/52.52 (v108(constB89)),
% 82.95/52.52 inference(unit_resolution,[status(thm)],[12360, 268, 12354])).
% 82.95/52.52 tff(12362,plain,
% 82.95/52.52 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12363,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 82.95/52.52 tff(12364,plain,
% 82.95/52.52 (nextState(constB89, constB90)),
% 82.95/52.52 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 82.95/52.52 tff(12365,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12366,plain,
% 82.95/52.52 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 82.95/52.52 inference(rewrite,[status(thm)],[])).
% 82.95/52.52 tff(12367,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 82.95/52.52 inference(monotonicity,[status(thm)],[12366])).
% 82.95/52.52 tff(12368,plain,
% 82.95/52.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 82.95/52.52 inference(transitivity,[status(thm)],[12367, 12365])).
% 82.95/52.52 tff(12369,plain,
% 82.95/52.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12370,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 82.95/52.53 tff(12371,plain,
% 82.95/52.53 (v110(constB90) | (~v108(constB89))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12370, 288, 12364])).
% 82.95/52.53 tff(12372,plain,
% 82.95/52.53 (v110(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12371, 12361])).
% 82.95/52.53 tff(12373,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12374,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12375,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12374, 12373])).
% 82.95/52.53 tff(12376,plain,
% 82.95/52.53 (~v104(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12375, 306, 12364, 12220])).
% 82.95/52.53 tff(12377,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12378,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12379,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12378, 12377])).
% 82.95/52.53 tff(12380,plain,
% 82.95/52.53 (v102(constB90) | v104(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12379, 320, 12364])).
% 82.95/52.53 tff(12381,plain,
% 82.95/52.53 (v102(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12380, 12376])).
% 82.95/52.53 tff(12382,plain,
% 82.95/52.53 (v1(constB90) <=> v1(constB90)),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12383,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 82.95/52.53 tff(12384,plain,
% 82.95/52.53 (v1(constB90)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 82.95/52.53 tff(12385,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12386,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12387,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12386, 12385])).
% 82.95/52.53 tff(12388,plain,
% 82.95/52.53 (v101(constB90) | (~v102(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12387, 338, 12364, 12384])).
% 82.95/52.53 tff(12389,plain,
% 82.95/52.53 (v101(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12388, 12381])).
% 82.95/52.53 tff(12390,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12391,plain,
% 82.95/52.53 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12392,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12391])).
% 82.95/52.53 tff(12393,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12392, 12390])).
% 82.95/52.53 tff(12394,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12395,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12394, 12393])).
% 82.95/52.53 tff(12396,plain,
% 82.95/52.53 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12395, 353, 12364])).
% 82.95/52.53 tff(12397,plain,
% 82.95/52.53 (v100(constB90) | (~v110(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12396, 12389])).
% 82.95/52.53 tff(12398,plain,
% 82.95/52.53 (v100(constB90)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12397, 12372])).
% 82.95/52.53 tff(12399,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12400,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12401,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 82.95/52.53 tff(12402,plain,
% 82.95/52.53 (~v130(constB89, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12401, 1052, 12313])).
% 82.95/52.53 tff(12403,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12404,plain,
% 82.95/52.53 ((v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2))) <=> ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12405,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12404])).
% 82.95/52.53 tff(12406,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12405, 12403])).
% 82.95/52.53 tff(12407,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12408,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12407, 12406])).
% 82.95/52.53 tff(12409,plain,
% 82.95/52.53 ((~v127(constB89, 2)) | v130(constB89, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12408, 556, 12346])).
% 82.95/52.53 tff(12410,plain,
% 82.95/52.53 (~v127(constB89, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12409, 12402])).
% 82.95/52.53 tff(12411,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12412,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12413,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 82.95/52.53 tff(12414,plain,
% 82.95/52.53 (v127(constB89, 2) | (~v129(constB90, 2))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12413, 574, 12364])).
% 82.95/52.53 tff(12415,plain,
% 82.95/52.53 (~v129(constB90, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12414, 12410])).
% 82.95/52.53 tff(12416,plain,
% 82.95/52.53 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12417,plain,
% 82.95/52.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12418,plain,
% 82.95/52.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 82.95/52.53 tff(12419,plain,
% 82.95/52.53 ((~v90(constB90, 2)) | (~v100(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12418, 589, 12415])).
% 82.95/52.53 tff(12420,plain,
% 82.95/52.53 (~v90(constB90, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12419, 12398])).
% 82.95/52.53 tff(12421,plain,
% 82.95/52.53 ((~v1(constB91)) <=> (~v1(constB91))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12422,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 82.95/52.53 tff(12423,plain,
% 82.95/52.53 (~v1(constB91)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 82.95/52.53 tff(12424,plain,
% 82.95/52.53 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12425,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 82.95/52.53 tff(12426,plain,
% 82.95/52.53 (nextState(constB90, constB91)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 82.95/52.53 tff(12427,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12428,plain,
% 82.95/52.53 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12429,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12428])).
% 82.95/52.53 tff(12430,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12429, 12427])).
% 82.95/52.53 tff(12431,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12432,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12431, 12430])).
% 82.95/52.53 tff(12433,plain,
% 82.95/52.53 (~v101(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12432, 66, 12426, 12423])).
% 82.95/52.53 tff(12434,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12435,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12436,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 82.95/52.53 tff(12437,plain,
% 82.95/52.53 (v101(constB91) | (~v100(constB91))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12436, 83, 12426])).
% 82.95/52.53 tff(12438,plain,
% 82.95/52.53 (~v100(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12437, 12433])).
% 82.95/52.53 tff(12439,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12440,plain,
% 82.95/52.53 (((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))) <=> (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12441,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12440])).
% 82.95/52.53 tff(12442,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12441, 12439])).
% 82.95/52.53 tff(12443,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12444,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12443, 12442])).
% 82.95/52.53 tff(12445,plain,
% 82.95/52.53 (v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12444, 98, 12426])).
% 82.95/52.53 tff(12446,plain,
% 82.95/52.53 (v90(constB90, 2) | (~v90(constB91, 2))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12445, 12438])).
% 82.95/52.53 tff(12447,plain,
% 82.95/52.53 (~v90(constB91, 2)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12446, 12420])).
% 82.95/52.53 tff(12448,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12449,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12450,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12449, 12448])).
% 82.95/52.53 tff(12451,plain,
% 82.95/52.53 (v130(constB89, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12450, 1108, 12313])).
% 82.95/52.53 tff(12452,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12453,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12454,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 82.95/52.53 tff(12455,plain,
% 82.95/52.53 ((~v130(constB89, 1)) | v127(constB89, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12454, 818, 12346])).
% 82.95/52.53 tff(12456,plain,
% 82.95/52.53 (v127(constB89, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12455, 12451])).
% 82.95/52.53 tff(12457,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12458,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12459,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 82.95/52.53 tff(12460,plain,
% 82.95/52.53 ((~v127(constB89, 1)) | v129(constB90, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12459, 833, 12364])).
% 82.95/52.53 tff(12461,plain,
% 82.95/52.53 (v129(constB90, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12460, 12456])).
% 82.95/52.53 tff(12462,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12463,plain,
% 82.95/52.53 ((v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1))) <=> (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12464,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12463])).
% 82.95/52.53 tff(12465,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12464, 12462])).
% 82.95/52.53 tff(12466,plain,
% 82.95/52.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12467,plain,
% 82.95/52.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 82.95/52.53 tff(12468,plain,
% 82.95/52.53 (v90(constB90, 1) | (~v100(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12467, 848, 12461])).
% 82.95/52.53 tff(12469,plain,
% 82.95/52.53 (v90(constB90, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12468, 12398])).
% 82.95/52.53 tff(12470,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12471,plain,
% 82.95/52.53 (((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)) <=> ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12472,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12471])).
% 82.95/52.53 tff(12473,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12472, 12470])).
% 82.95/52.53 tff(12474,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12475,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 82.95/52.53 tff(12476,plain,
% 82.95/52.53 ((~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12475, 866, 12426])).
% 82.95/52.53 tff(12477,plain,
% 82.95/52.53 ((~v90(constB90, 1)) | v90(constB91, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12476, 12438])).
% 82.95/52.53 tff(12478,plain,
% 82.95/52.53 (v90(constB91, 1)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12477, 12469])).
% 82.95/52.53 tff(12479,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12480,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12481,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 82.95/52.53 tff(12482,plain,
% 82.95/52.53 (v130(constB89, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12481, 1146, 12313])).
% 82.95/52.53 tff(12483,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12484,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12485,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 82.95/52.53 tff(12486,plain,
% 82.95/52.53 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12485, 478, 12346])).
% 82.95/52.53 tff(12487,plain,
% 82.95/52.53 (v127(constB89, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12486, 12482])).
% 82.95/52.53 tff(12488,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12489,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12490,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 82.95/52.53 tff(12491,plain,
% 82.95/52.53 ((~v127(constB89, 0)) | v129(constB90, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12490, 493, 12364])).
% 82.95/52.53 tff(12492,plain,
% 82.95/52.53 (v129(constB90, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12491, 12487])).
% 82.95/52.53 tff(12493,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12494,plain,
% 82.95/52.53 ((v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0))) <=> (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12495,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12494])).
% 82.95/52.53 tff(12496,plain,
% 82.95/52.53 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12495, 12493])).
% 82.95/52.53 tff(12497,plain,
% 82.95/52.53 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12498,plain,
% 82.95/52.53 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 82.95/52.53 tff(12499,plain,
% 82.95/52.53 (v90(constB90, 0) | (~v100(constB90))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12498, 508, 12492])).
% 82.95/52.53 tff(12500,plain,
% 82.95/52.53 (v90(constB90, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12499, 12398])).
% 82.95/52.53 tff(12501,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12502,plain,
% 82.95/52.53 (((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)) <=> ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12503,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12502])).
% 82.95/52.53 tff(12504,plain,
% 82.95/52.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12503, 12501])).
% 82.95/52.53 tff(12505,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12506,plain,
% 82.95/52.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 82.95/52.53 tff(12507,plain,
% 82.95/52.53 ((~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12506, 526, 12426])).
% 82.95/52.53 tff(12508,plain,
% 82.95/52.53 ((~v90(constB90, 0)) | v90(constB91, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12507, 12438])).
% 82.95/52.53 tff(12509,plain,
% 82.95/52.53 (v90(constB91, 0)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12508, 12500])).
% 82.95/52.53 tff(12510,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12511,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12512,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12511, 12510])).
% 82.95/52.53 tff(12513,plain,
% 82.95/52.53 (v122(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12512, 1187, 12509, 12478, 12447])).
% 82.95/52.53 tff(12514,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12515,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12516,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB91)) | v116(constB91)),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12515, 12514])).
% 82.95/52.53 tff(12517,plain,
% 82.95/52.53 (v116(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12516, 1257, 12513])).
% 82.95/52.53 tff(12518,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12519,plain,
% 82.95/52.53 (((~v116(constB91)) | v115(constB91)) <=> (v115(constB91) | (~v116(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12520,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12519])).
% 82.95/52.53 tff(12521,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12520, 12518])).
% 82.95/52.53 tff(12522,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12523,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 82.95/52.53 tff(12524,plain,
% 82.95/52.53 (v115(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12523, 214, 12517])).
% 82.95/52.53 tff(12525,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12526,plain,
% 82.95/52.53 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12527,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12526])).
% 82.95/52.53 tff(12528,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12527, 12525])).
% 82.95/52.53 tff(12529,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12530,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 82.95/52.53 tff(12531,plain,
% 82.95/52.53 (v114(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12530, 228, 12524])).
% 82.95/52.53 tff(12532,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12533,plain,
% 82.95/52.53 (((~v114(constB91)) | v113(constB91)) <=> (v113(constB91) | (~v114(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12534,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12533])).
% 82.95/52.53 tff(12535,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12534, 12532])).
% 82.95/52.53 tff(12536,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12537,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 82.95/52.53 tff(12538,plain,
% 82.95/52.53 (v113(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12537, 242, 12531])).
% 82.95/52.53 tff(12539,assumption,(v26(constB91)), introduced(assumption)).
% 82.95/52.53 tff(12540,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12541,plain,
% 82.95/52.53 ($false),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12540, 19, 12539])).
% 82.95/52.53 tff(12542,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.53 tff(12543,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12544,plain,
% 82.95/52.53 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12545,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12544])).
% 82.95/52.53 tff(12546,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12545, 12543])).
% 82.95/52.53 tff(12547,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 82.95/52.53 inference(quant_inst,[status(thm)],[])).
% 82.95/52.53 tff(12548,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 82.95/52.53 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 82.95/52.53 tff(12549,plain,
% 82.95/52.53 (v112(constB91) | (~v113(constB91))),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12548, 256, 12542])).
% 82.95/52.53 tff(12550,plain,
% 82.95/52.53 (v112(constB91)),
% 82.95/52.53 inference(unit_resolution,[status(thm)],[12549, 12538])).
% 82.95/52.53 tff(12551,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12552,plain,
% 82.95/52.53 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 82.95/52.53 inference(rewrite,[status(thm)],[])).
% 82.95/52.53 tff(12553,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 82.95/52.53 inference(monotonicity,[status(thm)],[12552])).
% 82.95/52.53 tff(12554,plain,
% 82.95/52.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 82.95/52.53 inference(transitivity,[status(thm)],[12553, 12551])).
% 82.95/52.53 tff(12555,plain,
% 82.95/52.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12556,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 82.95/52.54 tff(12557,plain,
% 82.95/52.54 (v108(constB91)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12556, 268, 12550])).
% 82.95/52.54 tff(12558,plain,
% 82.95/52.54 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12559,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 82.95/52.54 tff(12560,plain,
% 82.95/52.54 (nextState(constB91, constB92)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 82.95/52.54 tff(12561,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12562,plain,
% 82.95/52.54 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12563,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12562])).
% 82.95/52.54 tff(12564,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12563, 12561])).
% 82.95/52.54 tff(12565,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12566,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12565, 12564])).
% 82.95/52.54 tff(12567,plain,
% 82.95/52.54 (v110(constB92) | (~v108(constB91))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12566, 288, 12560])).
% 82.95/52.54 tff(12568,plain,
% 82.95/52.54 (v110(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12567, 12557])).
% 82.95/52.54 tff(12569,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12570,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12571,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12570, 12569])).
% 82.95/52.54 tff(12572,plain,
% 82.95/52.54 (~v104(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12571, 306, 12560, 12423])).
% 82.95/52.54 tff(12573,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12574,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12575,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 82.95/52.54 tff(12576,plain,
% 82.95/52.54 (v102(constB92) | v104(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12575, 320, 12560])).
% 82.95/52.54 tff(12577,plain,
% 82.95/52.54 (v102(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12576, 12572])).
% 82.95/52.54 tff(12578,plain,
% 82.95/52.54 (v1(constB92) <=> v1(constB92)),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12579,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 82.95/52.54 tff(12580,plain,
% 82.95/52.54 (v1(constB92)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 82.95/52.54 tff(12581,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12582,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12583,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 82.95/52.54 tff(12584,plain,
% 82.95/52.54 (v101(constB92) | (~v102(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12583, 338, 12560, 12580])).
% 82.95/52.54 tff(12585,plain,
% 82.95/52.54 (v101(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12584, 12577])).
% 82.95/52.54 tff(12586,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12587,plain,
% 82.95/52.54 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12588,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12587])).
% 82.95/52.54 tff(12589,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12588, 12586])).
% 82.95/52.54 tff(12590,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12591,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12590, 12589])).
% 82.95/52.54 tff(12592,plain,
% 82.95/52.54 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12591, 353, 12560])).
% 82.95/52.54 tff(12593,plain,
% 82.95/52.54 (v100(constB92) | (~v110(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12592, 12585])).
% 82.95/52.54 tff(12594,plain,
% 82.95/52.54 (v100(constB92)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12593, 12568])).
% 82.95/52.54 tff(12595,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12596,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12597,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12596, 12595])).
% 82.95/52.54 tff(12598,plain,
% 82.95/52.54 (v130(constB91, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12597, 1198, 12513])).
% 82.95/52.54 tff(12599,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12600,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12601,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 82.95/52.54 tff(12602,plain,
% 82.95/52.54 ((~v130(constB91, 2)) | v127(constB91, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12601, 1212, 12542])).
% 82.95/52.54 tff(12603,plain,
% 82.95/52.54 (v127(constB91, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12602, 12598])).
% 82.95/52.54 tff(12604,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12605,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12606,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 82.95/52.54 tff(12607,plain,
% 82.95/52.54 ((~v127(constB91, 2)) | v129(constB92, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12606, 1230, 12560])).
% 82.95/52.54 tff(12608,plain,
% 82.95/52.54 (v129(constB92, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12607, 12603])).
% 82.95/52.54 tff(12609,plain,
% 82.95/52.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12610,plain,
% 82.95/52.54 ((v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2))) <=> (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12611,plain,
% 82.95/52.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12610])).
% 82.95/52.54 tff(12612,plain,
% 82.95/52.54 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12611, 12609])).
% 82.95/52.54 tff(12613,plain,
% 82.95/52.54 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12614,plain,
% 82.95/52.54 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12613, 12612])).
% 82.95/52.54 tff(12615,plain,
% 82.95/52.54 (v90(constB92, 2) | (~v100(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12614, 1338, 12608])).
% 82.95/52.54 tff(12616,plain,
% 82.95/52.54 (v90(constB92, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12615, 12594])).
% 82.95/52.54 tff(12617,plain,
% 82.95/52.54 ((~v1(constB93)) <=> (~v1(constB93))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12618,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 82.95/52.54 tff(12619,plain,
% 82.95/52.54 (~v1(constB93)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 82.95/52.54 tff(12620,plain,
% 82.95/52.54 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12621,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 82.95/52.54 tff(12622,plain,
% 82.95/52.54 (nextState(constB92, constB93)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 82.95/52.54 tff(12623,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12624,plain,
% 82.95/52.54 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12625,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12624])).
% 82.95/52.54 tff(12626,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12625, 12623])).
% 82.95/52.54 tff(12627,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12628,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12627, 12626])).
% 82.95/52.54 tff(12629,plain,
% 82.95/52.54 (~v101(constB93)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12628, 66, 12622, 12619])).
% 82.95/52.54 tff(12630,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12631,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12632,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 82.95/52.54 tff(12633,plain,
% 82.95/52.54 (v101(constB93) | (~v100(constB93))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12632, 83, 12622])).
% 82.95/52.54 tff(12634,plain,
% 82.95/52.54 (~v100(constB93)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12633, 12629])).
% 82.95/52.54 tff(12635,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12636,plain,
% 82.95/52.54 (((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)) <=> ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12637,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12636])).
% 82.95/52.54 tff(12638,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12637, 12635])).
% 82.95/52.54 tff(12639,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12640,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 82.95/52.54 tff(12641,plain,
% 82.95/52.54 ((~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12640, 1374, 12622])).
% 82.95/52.54 tff(12642,plain,
% 82.95/52.54 ((~v90(constB92, 2)) | v90(constB93, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12641, 12634])).
% 82.95/52.54 tff(12643,plain,
% 82.95/52.54 (v90(constB93, 2)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12642, 12616])).
% 82.95/52.54 tff(12644,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12645,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12646,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12645, 12644])).
% 82.95/52.54 tff(12647,plain,
% 82.95/52.54 (~v130(constB91, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12646, 1390, 12513])).
% 82.95/52.54 tff(12648,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12649,plain,
% 82.95/52.54 ((v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1))) <=> ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12650,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12649])).
% 82.95/52.54 tff(12651,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12650, 12648])).
% 82.95/52.54 tff(12652,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12653,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12652, 12651])).
% 82.95/52.54 tff(12654,plain,
% 82.95/52.54 ((~v127(constB91, 1)) | v130(constB91, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12653, 383, 12542])).
% 82.95/52.54 tff(12655,plain,
% 82.95/52.54 (~v127(constB91, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12654, 12647])).
% 82.95/52.54 tff(12656,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12657,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12658,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 82.95/52.54 tff(12659,plain,
% 82.95/52.54 (v127(constB91, 1) | (~v129(constB92, 1))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12658, 401, 12560])).
% 82.95/52.54 tff(12660,plain,
% 82.95/52.54 (~v129(constB92, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12659, 12655])).
% 82.95/52.54 tff(12661,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12662,plain,
% 82.95/52.54 (((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1)) <=> ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12663,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12662])).
% 82.95/52.54 tff(12664,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12663, 12661])).
% 82.95/52.54 tff(12665,plain,
% 82.95/52.54 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12666,plain,
% 82.95/52.54 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 82.95/52.54 tff(12667,plain,
% 82.95/52.54 ((~v90(constB92, 1)) | (~v100(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12666, 416, 12660])).
% 82.95/52.54 tff(12668,plain,
% 82.95/52.54 (~v90(constB92, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12667, 12594])).
% 82.95/52.54 tff(12669,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12670,plain,
% 82.95/52.54 (((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))) <=> (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12671,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12670])).
% 82.95/52.54 tff(12672,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12671, 12669])).
% 82.95/52.54 tff(12673,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12674,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 82.95/52.54 tff(12675,plain,
% 82.95/52.54 (v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12674, 119, 12622])).
% 82.95/52.54 tff(12676,plain,
% 82.95/52.54 (v90(constB92, 1) | (~v90(constB93, 1))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12675, 12634])).
% 82.95/52.54 tff(12677,plain,
% 82.95/52.54 (~v90(constB93, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12676, 12668])).
% 82.95/52.54 tff(12678,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12679,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12680,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 82.95/52.54 tff(12681,plain,
% 82.95/52.54 (~v130(constB91, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12680, 1431, 12513])).
% 82.95/52.54 tff(12682,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12683,plain,
% 82.95/52.54 ((v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0))) <=> ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12684,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12683])).
% 82.95/52.54 tff(12685,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12684, 12682])).
% 82.95/52.54 tff(12686,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12687,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 82.95/52.54 tff(12688,plain,
% 82.95/52.54 ((~v127(constB91, 0)) | v130(constB91, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12687, 896, 12542])).
% 82.95/52.54 tff(12689,plain,
% 82.95/52.54 (~v127(constB91, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12688, 12681])).
% 82.95/52.54 tff(12690,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12691,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12692,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12691, 12690])).
% 82.95/52.54 tff(12693,plain,
% 82.95/52.54 (v127(constB91, 0) | (~v129(constB92, 0))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12692, 914, 12560])).
% 82.95/52.54 tff(12694,plain,
% 82.95/52.54 (~v129(constB92, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12693, 12689])).
% 82.95/52.54 tff(12695,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12696,plain,
% 82.95/52.54 (((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0)) <=> ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12697,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12696])).
% 82.95/52.54 tff(12698,plain,
% 82.95/52.54 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12697, 12695])).
% 82.95/52.54 tff(12699,plain,
% 82.95/52.54 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12700,plain,
% 82.95/52.54 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 82.95/52.54 tff(12701,plain,
% 82.95/52.54 ((~v90(constB92, 0)) | (~v100(constB92))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12700, 929, 12694])).
% 82.95/52.54 tff(12702,plain,
% 82.95/52.54 (~v90(constB92, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12701, 12594])).
% 82.95/52.54 tff(12703,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12704,plain,
% 82.95/52.54 (((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))) <=> (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12705,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12704])).
% 82.95/52.54 tff(12706,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12705, 12703])).
% 82.95/52.54 tff(12707,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12708,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 82.95/52.54 tff(12709,plain,
% 82.95/52.54 (v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12708, 140, 12622])).
% 82.95/52.54 tff(12710,plain,
% 82.95/52.54 (v90(constB92, 0) | (~v90(constB93, 0))),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12709, 12634])).
% 82.95/52.54 tff(12711,plain,
% 82.95/52.54 (~v90(constB93, 0)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12710, 12702])).
% 82.95/52.54 tff(12712,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12713,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12714,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12713, 12712])).
% 82.95/52.54 tff(12715,plain,
% 82.95/52.54 (v123(constB93)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12714, 1475, 12711, 12677, 12643])).
% 82.95/52.54 tff(12716,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12717,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12718,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1))),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12717, 12716])).
% 82.95/52.54 tff(12719,plain,
% 82.95/52.54 (~v130(constB93, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12718, 1623, 12715])).
% 82.95/52.54 tff(12720,assumption,(v26(constB93)), introduced(assumption)).
% 82.95/52.54 tff(12721,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12722,plain,
% 82.95/52.54 ($false),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12721, 19, 12720])).
% 82.95/52.54 tff(12723,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.54 tff(12724,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12725,plain,
% 82.95/52.54 ((v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1))) <=> ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12726,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)))),
% 82.95/52.54 inference(monotonicity,[status(thm)],[12725])).
% 82.95/52.54 tff(12727,plain,
% 82.95/52.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 82.95/52.54 inference(transitivity,[status(thm)],[12726, 12724])).
% 82.95/52.54 tff(12728,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))),
% 82.95/52.54 inference(quant_inst,[status(thm)],[])).
% 82.95/52.54 tff(12729,plain,
% 82.95/52.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 82.95/52.54 tff(12730,plain,
% 82.95/52.54 ((~v127(constB93, 1)) | v130(constB93, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12729, 383, 12723])).
% 82.95/52.54 tff(12731,plain,
% 82.95/52.54 (~v127(constB93, 1)),
% 82.95/52.54 inference(unit_resolution,[status(thm)],[12730, 12719])).
% 82.95/52.54 tff(12732,plain,
% 82.95/52.54 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12733,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 82.95/52.54 tff(12734,plain,
% 82.95/52.54 (nextState(constB93, constB94)),
% 82.95/52.54 inference(modus_ponens,[status(thm)],[12733, 12732])).
% 82.95/52.54 tff(12735,plain,
% 82.95/52.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 82.95/52.54 inference(rewrite,[status(thm)],[])).
% 82.95/52.54 tff(12736,plain,
% 82.95/52.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12737,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 82.95/52.55 tff(12738,plain,
% 82.95/52.55 (v127(constB93, 1) | (~v129(constB94, 1))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12737, 401, 12734])).
% 82.95/52.55 tff(12739,plain,
% 82.95/52.55 (~v129(constB94, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12738, 12731])).
% 82.95/52.55 tff(12740,assumption,(~v100(constB94)), introduced(assumption)).
% 82.95/52.55 tff(12741,assumption,(~v90(constB94, 0)), introduced(assumption)).
% 82.95/52.55 tff(12742,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12743,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0)) <=> ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12744,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0)))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12743])).
% 82.95/52.55 tff(12745,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12744, 12742])).
% 82.95/52.55 tff(12746,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12747,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB93, 0)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 0)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 82.95/52.55 tff(12748,plain,
% 82.95/52.55 ((~v90(constB93, 0)) | v100(constB94) | v90(constB94, 0)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12747, 526, 12734])).
% 82.95/52.55 tff(12749,plain,
% 82.95/52.55 (~v90(constB93, 0)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12748, 12741, 12740])).
% 82.95/52.55 tff(12750,assumption,(~v90(constB94, 2)), introduced(assumption)).
% 82.95/52.55 tff(12751,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12752,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2)) <=> ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12753,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2)))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12752])).
% 82.95/52.55 tff(12754,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12753, 12751])).
% 82.95/52.55 tff(12755,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12756,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB93, 2)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 2)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12755, 12754])).
% 82.95/52.55 tff(12757,plain,
% 82.95/52.55 ((~v90(constB93, 2)) | v100(constB94) | v90(constB94, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12756, 1374, 12734])).
% 82.95/52.55 tff(12758,plain,
% 82.95/52.55 (~v90(constB93, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12757, 12750, 12740])).
% 82.95/52.55 tff(12759,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12760,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12761,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 82.95/52.55 tff(12762,plain,
% 82.95/52.55 (~v104(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12761, 306, 12734, 12619])).
% 82.95/52.55 tff(12763,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12764,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12765,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 82.95/52.55 tff(12766,plain,
% 82.95/52.55 (v102(constB94) | v104(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12765, 320, 12734])).
% 82.95/52.55 tff(12767,plain,
% 82.95/52.55 (v102(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12766, 12762])).
% 82.95/52.55 tff(12768,plain,
% 82.95/52.55 (v1(constB94) <=> v1(constB94)),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12769,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 82.95/52.55 tff(12770,plain,
% 82.95/52.55 (v1(constB94)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 82.95/52.55 tff(12771,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12772,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12773,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 82.95/52.55 tff(12774,plain,
% 82.95/52.55 (v101(constB94) | (~v102(constB94))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12773, 338, 12734, 12770])).
% 82.95/52.55 tff(12775,plain,
% 82.95/52.55 (v101(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12774, 12767])).
% 82.95/52.55 tff(12776,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12777,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12778,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12777])).
% 82.95/52.55 tff(12779,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12778, 12776])).
% 82.95/52.55 tff(12780,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12781,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 82.95/52.55 tff(12782,plain,
% 82.95/52.55 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12781, 353, 12734])).
% 82.95/52.55 tff(12783,plain,
% 82.95/52.55 (v100(constB94) | (~v110(constB94))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12782, 12775])).
% 82.95/52.55 tff(12784,plain,
% 82.95/52.55 (~v110(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12783, 12740])).
% 82.95/52.55 tff(12785,assumption,(~v110(constB94)), introduced(assumption)).
% 82.95/52.55 tff(12786,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v100(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v100(constB94)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12787,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v100(constB94)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12788,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v100(constB94))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 82.95/52.55 tff(12789,plain,
% 82.95/52.55 (v110(constB94) | (~v100(constB94))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12788, 10788, 12734])).
% 82.95/52.55 tff(12790,plain,
% 82.95/52.55 (~v100(constB94)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12789, 12785])).
% 82.95/52.55 tff(12791,plain,
% 82.95/52.55 (~v90(constB93, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12757, 12790, 12750])).
% 82.95/52.55 tff(12792,assumption,(~v90(constB94, 1)), introduced(assumption)).
% 82.95/52.55 tff(12793,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12794,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1)) <=> ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12795,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1)))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12794])).
% 82.95/52.55 tff(12796,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12795, 12793])).
% 82.95/52.55 tff(12797,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB93, constB94)) | (~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12798,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB93, 1)) | (~nextState(constB93, constB94)) | v100(constB94) | v90(constB94, 1)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 82.95/52.55 tff(12799,plain,
% 82.95/52.55 ((~v90(constB93, 1)) | v100(constB94) | v90(constB94, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12798, 866, 12734])).
% 82.95/52.55 tff(12800,plain,
% 82.95/52.55 (~v90(constB93, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12799, 12790, 12792])).
% 82.95/52.55 tff(12801,plain,
% 82.95/52.55 (~v90(constB93, 0)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12748, 12790, 12741])).
% 82.95/52.55 tff(12802,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12803,plain,
% 82.95/52.55 ((v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2)) <=> (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12804,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93)))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12803])).
% 82.95/52.55 tff(12805,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12804, 12802])).
% 82.95/52.55 tff(12806,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB93, 0) | v119(constB93) | v90(constB93, 1) | v90(constB93, 2))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12807,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB93, 0) | v90(constB93, 1) | v90(constB93, 2) | v119(constB93)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 82.95/52.55 tff(12808,plain,
% 82.95/52.55 (v119(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12807, 161, 12801, 12800, 12791])).
% 82.95/52.55 tff(12809,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB93)) | v118(constB93))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB93)) | v118(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12810,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB93)) | v118(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12811,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB93)) | v118(constB93)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 82.95/52.55 tff(12812,plain,
% 82.95/52.55 (v118(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12811, 175, 12808])).
% 82.95/52.55 tff(12813,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB93) | (~v118(constB93)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12814,plain,
% 82.95/52.55 (((~v118(constB93)) | v117(constB93)) <=> (v117(constB93) | (~v118(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12815,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB93) | (~v118(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12814])).
% 82.95/52.55 tff(12816,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12815, 12813])).
% 82.95/52.55 tff(12817,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB93)) | v117(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12818,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB93) | (~v118(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12817, 12816])).
% 82.95/52.55 tff(12819,plain,
% 82.95/52.55 (v117(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12818, 186, 12812])).
% 82.95/52.55 tff(12820,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB93) | (~v117(constB93)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12821,plain,
% 82.95/52.55 (((~v117(constB93)) | v116(constB93)) <=> (v116(constB93) | (~v117(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12822,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB93) | (~v117(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12821])).
% 82.95/52.55 tff(12823,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12822, 12820])).
% 82.95/52.55 tff(12824,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB93)) | v116(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12825,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB93) | (~v117(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 82.95/52.55 tff(12826,plain,
% 82.95/52.55 (v116(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12825, 200, 12819])).
% 82.95/52.55 tff(12827,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12828,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12829,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12828])).
% 82.95/52.55 tff(12830,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12829, 12827])).
% 82.95/52.55 tff(12831,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12832,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 82.95/52.55 tff(12833,plain,
% 82.95/52.55 (v110(constB94) | (~v108(constB93))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12832, 288, 12734])).
% 82.95/52.55 tff(12834,plain,
% 82.95/52.55 (~v108(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12833, 12785])).
% 82.95/52.55 tff(12835,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12836,plain,
% 82.95/52.55 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12837,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12836])).
% 82.95/52.55 tff(12838,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12837, 12835])).
% 82.95/52.55 tff(12839,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12840,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 82.95/52.55 tff(12841,plain,
% 82.95/52.55 (~v112(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12840, 268, 12834])).
% 82.95/52.55 tff(12842,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12843,plain,
% 82.95/52.55 (((~v26(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v26(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12844,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12843])).
% 82.95/52.55 tff(12845,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12844, 12842])).
% 82.95/52.55 tff(12846,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12847,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 82.95/52.55 tff(12848,plain,
% 82.95/52.55 (~v26(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12847, 685, 12834])).
% 82.95/52.55 tff(12849,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12850,plain,
% 82.95/52.55 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12851,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | v112(constB93) | (~v113(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12850])).
% 82.95/52.55 tff(12852,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12851, 12849])).
% 82.95/52.55 tff(12853,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12854,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12853, 12852])).
% 82.95/52.55 tff(12855,plain,
% 82.95/52.55 (~v113(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12854, 256, 12848, 12841])).
% 82.95/52.55 tff(12856,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12857,plain,
% 82.95/52.55 (((~v114(constB93)) | v113(constB93)) <=> (v113(constB93) | (~v114(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12858,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB93) | (~v114(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12857])).
% 82.95/52.55 tff(12859,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12858, 12856])).
% 82.95/52.55 tff(12860,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12861,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB93) | (~v114(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12860, 12859])).
% 82.95/52.55 tff(12862,plain,
% 82.95/52.55 (~v114(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12861, 242, 12855])).
% 82.95/52.55 tff(12863,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12864,plain,
% 82.95/52.55 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12865,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12864])).
% 82.95/52.55 tff(12866,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12865, 12863])).
% 82.95/52.55 tff(12867,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12868,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12867, 12866])).
% 82.95/52.55 tff(12869,plain,
% 82.95/52.55 (~v115(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12868, 228, 12862])).
% 82.95/52.55 tff(12870,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v116(constB93)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12871,plain,
% 82.95/52.55 (((~v116(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v116(constB93)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12872,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v116(constB93))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12871])).
% 82.95/52.55 tff(12873,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12872, 12870])).
% 82.95/52.55 tff(12874,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB93)) | v115(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12875,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v116(constB93))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 82.95/52.55 tff(12876,plain,
% 82.95/52.55 ($false),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12875, 214, 12869, 12826])).
% 82.95/52.55 tff(12877,plain,(v110(constB94) | v90(constB94, 2) | v90(constB94, 1) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.55 tff(12878,plain,
% 82.95/52.55 (v90(constB94, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12877, 12750, 12784, 12741])).
% 82.95/52.55 tff(12879,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12880,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | v90(constB93, 1) | v100(constB94) | (~v90(constB94, 1))) <=> (v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12881,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v90(constB93, 1) | v100(constB94) | (~v90(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12880])).
% 82.95/52.55 tff(12882,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v90(constB93, 1) | v100(constB94) | (~v90(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12881, 12879])).
% 82.95/52.55 tff(12883,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v90(constB93, 1) | v100(constB94) | (~v90(constB94, 1)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12884,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB93, 1) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 1))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 82.95/52.55 tff(12885,plain,
% 82.95/52.55 (v90(constB93, 1) | v100(constB94) | (~v90(constB94, 1))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12884, 119, 12734])).
% 82.95/52.55 tff(12886,plain,
% 82.95/52.55 (v90(constB93, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12885, 12878, 12740])).
% 82.95/52.55 tff(12887,plain,
% 82.95/52.55 (~v108(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12833, 12784])).
% 82.95/52.55 tff(12888,plain,
% 82.95/52.55 (~v112(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12840, 268, 12887])).
% 82.95/52.55 tff(12889,plain,
% 82.95/52.55 (v112(constB93) | (~v113(constB93))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12854, 256, 12723])).
% 82.95/52.55 tff(12890,plain,
% 82.95/52.55 (~v113(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12889, 12888])).
% 82.95/52.55 tff(12891,plain,
% 82.95/52.55 (~v114(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12861, 242, 12890])).
% 82.95/52.55 tff(12892,plain,
% 82.95/52.55 (~v115(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12868, 228, 12891])).
% 82.95/52.55 tff(12893,plain,
% 82.95/52.55 (~v116(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12875, 214, 12892])).
% 82.95/52.55 tff(12894,plain,
% 82.95/52.55 (~v117(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12825, 200, 12893])).
% 82.95/52.55 tff(12895,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB93)) | v117(constB93))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB93)) | v117(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12896,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB93)) | v117(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12897,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB93)) | v117(constB93)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 82.95/52.55 tff(12898,plain,
% 82.95/52.55 (~v121(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12897, 967, 12894])).
% 82.95/52.55 tff(12899,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB93, 0) | (~v90(constB93, 1)) | v90(constB93, 2) | v121(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB93, 0) | (~v90(constB93, 1)) | v90(constB93, 2) | v121(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12900,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB93, 0) | (~v90(constB93, 1)) | v90(constB93, 2) | v121(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12901,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB93, 0) | (~v90(constB93, 1)) | v90(constB93, 2) | v121(constB93)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12900, 12899])).
% 82.95/52.55 tff(12902,plain,
% 82.95/52.55 (v90(constB93, 0) | (~v90(constB93, 1)) | v90(constB93, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12901, 956, 12898])).
% 82.95/52.55 tff(12903,plain,
% 82.95/52.55 ($false),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12902, 12886, 12758, 12749])).
% 82.95/52.55 tff(12904,plain,(v90(constB94, 2) | v100(constB94) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.55 tff(12905,plain,
% 82.95/52.55 (v90(constB94, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12904, 12741, 12740])).
% 82.95/52.55 tff(12906,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12907,plain,
% 82.95/52.55 (((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2))) <=> (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12908,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2))))),
% 82.95/52.55 inference(monotonicity,[status(thm)],[12907])).
% 82.95/52.55 tff(12909,plain,
% 82.95/52.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2)))),
% 82.95/52.55 inference(transitivity,[status(thm)],[12908, 12906])).
% 82.95/52.55 tff(12910,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2)))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12911,plain,
% 82.95/52.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB93, 2) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 2))),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12910, 12909])).
% 82.95/52.55 tff(12912,plain,
% 82.95/52.55 (v90(constB93, 2) | v100(constB94) | (~v90(constB94, 2))),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12911, 98, 12734])).
% 82.95/52.55 tff(12913,plain,
% 82.95/52.55 (v90(constB93, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12912, 12905, 12740])).
% 82.95/52.55 tff(12914,assumption,(v90(constB94, 2)), introduced(assumption)).
% 82.95/52.55 tff(12915,plain,
% 82.95/52.55 (v90(constB93, 2)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12912, 12740, 12914])).
% 82.95/52.55 tff(12916,plain,
% 82.95/52.55 (~v90(constB93, 0)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12748, 12740, 12741])).
% 82.95/52.55 tff(12917,plain,
% 82.95/52.55 (~v90(constB93, 1)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12799, 12740, 12792])).
% 82.95/52.55 tff(12918,assumption,(v123(constB93)), introduced(assumption)).
% 82.95/52.55 tff(12919,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB93)) | v115(constB93))),
% 82.95/52.55 inference(rewrite,[status(thm)],[])).
% 82.95/52.55 tff(12920,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 82.95/52.55 inference(quant_inst,[status(thm)],[])).
% 82.95/52.55 tff(12921,plain,
% 82.95/52.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB93)) | v115(constB93)),
% 82.95/52.55 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 82.95/52.55 tff(12922,plain,
% 82.95/52.55 (v115(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12921, 1486, 12918])).
% 82.95/52.55 tff(12923,plain,
% 82.95/52.55 (v114(constB93)),
% 82.95/52.55 inference(unit_resolution,[status(thm)],[12868, 228, 12922])).
% 82.95/52.55 tff(12924,plain,
% 82.95/52.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12925,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12926,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 82.95/52.56 tff(12927,plain,
% 82.95/52.56 (v130(constB93, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12926, 1664, 12918])).
% 82.95/52.56 tff(12928,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12929,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12930,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 82.95/52.56 tff(12931,plain,
% 82.95/52.56 ((~v130(constB93, 0)) | v127(constB93, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12930, 478, 12723])).
% 82.95/52.56 tff(12932,plain,
% 82.95/52.56 (v127(constB93, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12931, 12927])).
% 82.95/52.56 tff(12933,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12934,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12935,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 82.95/52.56 tff(12936,plain,
% 82.95/52.56 ((~v127(constB93, 0)) | v129(constB94, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12935, 493, 12734])).
% 82.95/52.56 tff(12937,plain,
% 82.95/52.56 (v129(constB94, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12936, 12932])).
% 82.95/52.56 tff(12938,plain,
% 82.95/52.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12939,plain,
% 82.95/52.56 ((v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0))) <=> (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12940,plain,
% 82.95/52.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[12939])).
% 82.95/52.56 tff(12941,plain,
% 82.95/52.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[12940, 12938])).
% 82.95/52.56 tff(12942,plain,
% 82.95/52.56 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12943,plain,
% 82.95/52.56 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 82.95/52.56 tff(12944,plain,
% 82.95/52.56 ((~v129(constB94, 0)) | (~v100(constB94))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12943, 508, 12741])).
% 82.95/52.56 tff(12945,plain,
% 82.95/52.56 (~v100(constB94)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12944, 12937])).
% 82.95/52.56 tff(12946,plain,
% 82.95/52.56 (~v110(constB94)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12783, 12945])).
% 82.95/52.56 tff(12947,plain,
% 82.95/52.56 (~v108(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12833, 12946])).
% 82.95/52.56 tff(12948,plain,
% 82.95/52.56 (~v112(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12840, 268, 12947])).
% 82.95/52.56 tff(12949,plain,
% 82.95/52.56 (~v113(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12889, 12948])).
% 82.95/52.56 tff(12950,plain,
% 82.95/52.56 ($false),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12861, 242, 12949, 12923])).
% 82.95/52.56 tff(12951,plain,((~v123(constB93)) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.56 tff(12952,plain,
% 82.95/52.56 (~v123(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12951, 12741])).
% 82.95/52.56 tff(12953,plain,
% 82.95/52.56 (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12714, 1475, 12952])).
% 82.95/52.56 tff(12954,plain,
% 82.95/52.56 ($false),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12953, 12917, 12916, 12915])).
% 82.95/52.56 tff(12955,plain,(v100(constB94) | (~v90(constB94, 2)) | v90(constB94, 1) | v90(constB94, 0)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.56 tff(12956,plain,
% 82.95/52.56 (v90(constB94, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12955, 12905, 12740, 12741])).
% 82.95/52.56 tff(12957,plain,
% 82.95/52.56 (v90(constB93, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12885, 12956, 12740])).
% 82.95/52.56 tff(12958,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB93)) | v113(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12959,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB93)) | v113(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12960,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB93)) | v113(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12959, 12958])).
% 82.95/52.56 tff(12961,plain,
% 82.95/52.56 (~v125(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12960, 1946, 12890])).
% 82.95/52.56 tff(12962,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB93, 0) | (~v90(constB93, 1)) | (~v90(constB93, 2)) | v125(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB93, 0) | (~v90(constB93, 1)) | (~v90(constB93, 2)) | v125(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12963,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB93, 0) | (~v90(constB93, 1)) | (~v90(constB93, 2)) | v125(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12964,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB93, 0) | (~v90(constB93, 1)) | (~v90(constB93, 2)) | v125(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12963, 12962])).
% 82.95/52.56 tff(12965,plain,
% 82.95/52.56 (v90(constB93, 0) | (~v90(constB93, 1)) | (~v90(constB93, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12964, 1934, 12961])).
% 82.95/52.56 tff(12966,plain,
% 82.95/52.56 ($false),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12965, 12957, 12913, 12749])).
% 82.95/52.56 tff(12967,plain,(v90(constB94, 0) | v100(constB94)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.56 tff(12968,plain,
% 82.95/52.56 (v90(constB94, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12967, 12740])).
% 82.95/52.56 tff(12969,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12970,plain,
% 82.95/52.56 (((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0))) <=> (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12971,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[12970])).
% 82.95/52.56 tff(12972,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[12971, 12969])).
% 82.95/52.56 tff(12973,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12974,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB93, 0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 82.95/52.56 tff(12975,plain,
% 82.95/52.56 (v90(constB93, 0) | v100(constB94) | (~v90(constB94, 0))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12974, 140, 12734])).
% 82.95/52.56 tff(12976,plain,
% 82.95/52.56 (v90(constB93, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12975, 12968, 12740])).
% 82.95/52.56 tff(12977,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB93)) | v116(constB93))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB93)) | v116(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12978,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB93)) | v116(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12979,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB93)) | v116(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 82.95/52.56 tff(12980,plain,
% 82.95/52.56 (~v122(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12979, 1257, 12893])).
% 82.95/52.56 tff(12981,plain,
% 82.95/52.56 (~v118(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12818, 186, 12894])).
% 82.95/52.56 tff(12982,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB93)) | v118(constB93))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB93)) | v118(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12983,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB93)) | v118(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12984,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB93)) | v118(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 82.95/52.56 tff(12985,plain,
% 82.95/52.56 (~v120(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12984, 628, 12981])).
% 82.95/52.56 tff(12986,assumption,(v90(constB93, 0)), introduced(assumption)).
% 82.95/52.56 tff(12987,assumption,(~v90(constB93, 2)), introduced(assumption)).
% 82.95/52.56 tff(12988,assumption,(~v122(constB93)), introduced(assumption)).
% 82.95/52.56 tff(12989,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12990,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12991,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2) | v122(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 82.95/52.56 tff(12992,plain,
% 82.95/52.56 ((~v90(constB93, 0)) | (~v90(constB93, 1)) | v90(constB93, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12991, 1187, 12988])).
% 82.95/52.56 tff(12993,plain,
% 82.95/52.56 (~v90(constB93, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12992, 12987, 12986])).
% 82.95/52.56 tff(12994,assumption,(~v120(constB93)), introduced(assumption)).
% 82.95/52.56 tff(12995,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB93, 0)) | v90(constB93, 1) | v90(constB93, 2) | v120(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB93, 0)) | v90(constB93, 1) | v90(constB93, 2) | v120(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(12996,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB93, 0)) | v90(constB93, 1) | v90(constB93, 2) | v120(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(12997,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB93, 0)) | v90(constB93, 1) | v90(constB93, 2) | v120(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[12996, 12995])).
% 82.95/52.56 tff(12998,plain,
% 82.95/52.56 ((~v90(constB93, 0)) | v90(constB93, 1) | v90(constB93, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12997, 614, 12994])).
% 82.95/52.56 tff(12999,plain,
% 82.95/52.56 ($false),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12998, 12993, 12987, 12986])).
% 82.95/52.56 tff(13000,plain,(v90(constB93, 2) | (~v90(constB93, 0)) | v120(constB93) | v122(constB93)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.56 tff(13001,plain,
% 82.95/52.56 (v90(constB93, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13000, 12976, 12985, 12980])).
% 82.95/52.56 tff(13002,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB93)) | v114(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13003,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB93)) | v114(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13004,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB93)) | v114(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13003, 13002])).
% 82.95/52.56 tff(13005,plain,
% 82.95/52.56 (~v124(constB93)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13004, 1741, 12891])).
% 82.95/52.56 tff(13006,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB93, 0)) | v90(constB93, 1) | (~v90(constB93, 2)) | v124(constB93))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB93, 0)) | v90(constB93, 1) | (~v90(constB93, 2)) | v124(constB93))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13007,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB93, 0)) | v90(constB93, 1) | (~v90(constB93, 2)) | v124(constB93))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13008,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB93, 0)) | v90(constB93, 1) | (~v90(constB93, 2)) | v124(constB93)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 82.95/52.56 tff(13009,plain,
% 82.95/52.56 ((~v90(constB93, 0)) | v90(constB93, 1) | (~v90(constB93, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13008, 1705, 13005])).
% 82.95/52.56 tff(13010,plain,
% 82.95/52.56 (v90(constB93, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13009, 13001, 12976])).
% 82.95/52.56 tff(13011,assumption,(~v90(constB87, 2)), introduced(assumption)).
% 82.95/52.56 tff(13012,plain,
% 82.95/52.56 (v90(constB94, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12757, 13001, 12740])).
% 82.95/52.56 tff(13013,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13014,plain,
% 82.95/52.56 (((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2))) <=> (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13015,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13014])).
% 82.95/52.56 tff(13016,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13015, 13013])).
% 82.95/52.56 tff(13017,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB92, constB93)) | v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13018,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB92, 2) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 2))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 82.95/52.56 tff(13019,plain,
% 82.95/52.56 (v90(constB92, 2) | v100(constB93) | (~v90(constB93, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13018, 98, 12622])).
% 82.95/52.56 tff(13020,plain,
% 82.95/52.56 (v90(constB92, 2) | (~v90(constB93, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13019, 12634])).
% 82.95/52.56 tff(13021,plain,
% 82.95/52.56 (v90(constB92, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13020, 12915])).
% 82.95/52.56 tff(13022,assumption,(v90(constB94, 0)), introduced(assumption)).
% 82.95/52.56 tff(13023,plain,
% 82.95/52.56 (v90(constB93, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12975, 12740, 13022])).
% 82.95/52.56 tff(13024,plain,
% 82.95/52.56 (v90(constB92, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12710, 13023])).
% 82.95/52.56 tff(13025,assumption,(v90(constB94, 1)), introduced(assumption)).
% 82.95/52.56 tff(13026,plain,
% 82.95/52.56 (v90(constB93, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12885, 12740, 13025])).
% 82.95/52.56 tff(13027,plain,
% 82.95/52.56 (v90(constB92, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12676, 13026])).
% 82.95/52.56 tff(13028,assumption,(v90(constB92, 2)), introduced(assumption)).
% 82.95/52.56 tff(13029,assumption,(~v100(constB92)), introduced(assumption)).
% 82.95/52.56 tff(13030,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13031,plain,
% 82.95/52.56 (((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2))) <=> (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13032,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13031])).
% 82.95/52.56 tff(13033,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13032, 13030])).
% 82.95/52.56 tff(13034,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13035,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB91, 2) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 2))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 82.95/52.56 tff(13036,plain,
% 82.95/52.56 (v90(constB91, 2) | v100(constB92) | (~v90(constB92, 2))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13035, 98, 12560])).
% 82.95/52.56 tff(13037,plain,
% 82.95/52.56 (v90(constB91, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13036, 13029, 13028])).
% 82.95/52.56 tff(13038,plain,
% 82.95/52.56 (v90(constB90, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12446, 13037])).
% 82.95/52.56 tff(13039,assumption,(v90(constB92, 0)), introduced(assumption)).
% 82.95/52.56 tff(13040,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13041,plain,
% 82.95/52.56 (((~nextState(constB91, constB92)) | v90(constB91, 0) | v100(constB92) | (~v90(constB92, 0))) <=> (v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13042,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v90(constB91, 0) | v100(constB92) | (~v90(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13041])).
% 82.95/52.56 tff(13043,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v90(constB91, 0) | v100(constB92) | (~v90(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13042, 13040])).
% 82.95/52.56 tff(13044,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v90(constB91, 0) | v100(constB92) | (~v90(constB92, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13045,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB91, 0) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13044, 13043])).
% 82.95/52.56 tff(13046,plain,
% 82.95/52.56 (v90(constB91, 0) | v100(constB92) | (~v90(constB92, 0))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13045, 140, 12560])).
% 82.95/52.56 tff(13047,plain,
% 82.95/52.56 (v90(constB91, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13046, 13029, 13039])).
% 82.95/52.56 tff(13048,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13049,plain,
% 82.95/52.56 (((~nextState(constB90, constB91)) | v90(constB90, 0) | v100(constB91) | (~v90(constB91, 0))) <=> (v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13050,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB90, constB91)) | v90(constB90, 0) | v100(constB91) | (~v90(constB91, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13049])).
% 82.95/52.56 tff(13051,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB90, constB91)) | v90(constB90, 0) | v100(constB91) | (~v90(constB91, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13050, 13048])).
% 82.95/52.56 tff(13052,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB90, constB91)) | v90(constB90, 0) | v100(constB91) | (~v90(constB91, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13053,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB90, 0) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13052, 13051])).
% 82.95/52.56 tff(13054,plain,
% 82.95/52.56 (v90(constB90, 0) | v100(constB91) | (~v90(constB91, 0))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13053, 140, 12426])).
% 82.95/52.56 tff(13055,plain,
% 82.95/52.56 (v90(constB90, 0) | (~v90(constB91, 0))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13054, 12438])).
% 82.95/52.56 tff(13056,plain,
% 82.95/52.56 (v90(constB90, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13055, 13047])).
% 82.95/52.56 tff(13057,assumption,(v90(constB92, 1)), introduced(assumption)).
% 82.95/52.56 tff(13058,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13059,plain,
% 82.95/52.56 (((~nextState(constB91, constB92)) | v90(constB91, 1) | v100(constB92) | (~v90(constB92, 1))) <=> (v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13060,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v90(constB91, 1) | v100(constB92) | (~v90(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13059])).
% 82.95/52.56 tff(13061,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v90(constB91, 1) | v100(constB92) | (~v90(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13060, 13058])).
% 82.95/52.56 tff(13062,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v90(constB91, 1) | v100(constB92) | (~v90(constB92, 1)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13063,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB91, 1) | (~nextState(constB91, constB92)) | v100(constB92) | (~v90(constB92, 1))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13062, 13061])).
% 82.95/52.56 tff(13064,plain,
% 82.95/52.56 (v90(constB91, 1) | v100(constB92) | (~v90(constB92, 1))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13063, 119, 12560])).
% 82.95/52.56 tff(13065,plain,
% 82.95/52.56 (v90(constB91, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13064, 13029, 13057])).
% 82.95/52.56 tff(13066,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13067,plain,
% 82.95/52.56 (((~nextState(constB90, constB91)) | v90(constB90, 1) | v100(constB91) | (~v90(constB91, 1))) <=> (v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13068,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB90, constB91)) | v90(constB90, 1) | v100(constB91) | (~v90(constB91, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13067])).
% 82.95/52.56 tff(13069,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB90, constB91)) | v90(constB90, 1) | v100(constB91) | (~v90(constB91, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13068, 13066])).
% 82.95/52.56 tff(13070,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB90, constB91)) | v90(constB90, 1) | v100(constB91) | (~v90(constB91, 1)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13071,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB90, 1) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 1))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 82.95/52.56 tff(13072,plain,
% 82.95/52.56 (v90(constB90, 1) | v100(constB91) | (~v90(constB91, 1))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13071, 119, 12426])).
% 82.95/52.56 tff(13073,plain,
% 82.95/52.56 (v90(constB90, 1) | (~v90(constB91, 1))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13072, 12438])).
% 82.95/52.56 tff(13074,plain,
% 82.95/52.56 (v90(constB90, 1)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13073, 13065])).
% 82.95/52.56 tff(13075,assumption,(v100(constB90)), introduced(assumption)).
% 82.95/52.56 tff(13076,assumption,(v90(constB90, 0)), introduced(assumption)).
% 82.95/52.56 tff(13077,plain,
% 82.95/52.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13078,plain,
% 82.95/52.56 (((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0)) <=> ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13079,plain,
% 82.95/52.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90))))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13078])).
% 82.95/52.56 tff(13080,plain,
% 82.95/52.56 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90)))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13079, 13077])).
% 82.95/52.56 tff(13081,plain,
% 82.95/52.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB90, 0)) | (~v100(constB90)) | v129(constB90, 0))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13082,plain,
% 82.95/52.56 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB90, 0)) | v129(constB90, 0) | (~v100(constB90))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13081, 13080])).
% 82.95/52.56 tff(13083,plain,
% 82.95/52.56 (v129(constB90, 0) | (~v100(constB90))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13082, 929, 13076])).
% 82.95/52.56 tff(13084,plain,
% 82.95/52.56 (v129(constB90, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13083, 13075])).
% 82.95/52.56 tff(13085,plain,
% 82.95/52.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB89, constB90)) | v127(constB89, 0) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB89, constB90)) | v127(constB89, 0) | (~v129(constB90, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13086,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB89, constB90)) | v127(constB89, 0) | (~v129(constB90, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13087,plain,
% 82.95/52.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB89, constB90)) | v127(constB89, 0) | (~v129(constB90, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 82.95/52.56 tff(13088,plain,
% 82.95/52.56 (v127(constB89, 0) | (~v129(constB90, 0))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13087, 914, 12364])).
% 82.95/52.56 tff(13089,plain,
% 82.95/52.56 (v127(constB89, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13088, 13084])).
% 82.95/52.56 tff(13090,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13091,plain,
% 82.95/52.56 ((v26(constB89) | v130(constB89, 0) | (~v127(constB89, 0))) <=> ((~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13092,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB89) | v130(constB89, 0) | (~v127(constB89, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0)))),
% 82.95/52.56 inference(monotonicity,[status(thm)],[13091])).
% 82.95/52.56 tff(13093,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB89) | v130(constB89, 0) | (~v127(constB89, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0))),
% 82.95/52.56 inference(transitivity,[status(thm)],[13092, 13090])).
% 82.95/52.56 tff(13094,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB89) | v130(constB89, 0) | (~v127(constB89, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13095,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB89, 0)) | v26(constB89) | v130(constB89, 0)),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 82.95/52.56 tff(13096,plain,
% 82.95/52.56 ((~v127(constB89, 0)) | v130(constB89, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13095, 896, 12346])).
% 82.95/52.56 tff(13097,plain,
% 82.95/52.56 (v130(constB89, 0)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13096, 13089])).
% 82.95/52.56 tff(13098,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB89)) | (~v130(constB89, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB89)) | (~v130(constB89, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13099,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB89)) | (~v130(constB89, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13100,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB89)) | (~v130(constB89, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13099, 13098])).
% 82.95/52.56 tff(13101,plain,
% 82.95/52.56 (~v124(constB89)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13100, 1882, 13097])).
% 82.95/52.56 tff(13102,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB89)) | (~v130(constB89, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB89)) | (~v130(constB89, 0)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13103,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB89)) | (~v130(constB89, 0)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13104,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB89)) | (~v130(constB89, 0))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 82.95/52.56 tff(13105,plain,
% 82.95/52.56 (~v122(constB89)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13104, 1431, 13097])).
% 82.95/52.56 tff(13106,assumption,(v90(constB90, 2)), introduced(assumption)).
% 82.95/52.56 tff(13107,plain,
% 82.95/52.56 (v129(constB90, 2) | (~v100(constB90))),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12418, 589, 13106])).
% 82.95/52.56 tff(13108,plain,
% 82.95/52.56 (v129(constB90, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13107, 13075])).
% 82.95/52.56 tff(13109,plain,
% 82.95/52.56 (v127(constB89, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12414, 13108])).
% 82.95/52.56 tff(13110,plain,
% 82.95/52.56 (v130(constB89, 2)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12409, 13109])).
% 82.95/52.56 tff(13111,plain,
% 82.95/52.56 (~v121(constB89)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[12401, 1052, 13110])).
% 82.95/52.56 tff(13112,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13113,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13114,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB89)) | (~v130(constB89, 2))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13113, 13112])).
% 82.95/52.56 tff(13115,plain,
% 82.95/52.56 (~v120(constB89)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13114, 744, 13110])).
% 82.95/52.56 tff(13116,plain,
% 82.95/52.56 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.56 inference(rewrite,[status(thm)],[])).
% 82.95/52.56 tff(13117,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB89)) | (~v130(constB89, 2)))),
% 82.95/52.56 inference(quant_inst,[status(thm)],[])).
% 82.95/52.56 tff(13118,plain,
% 82.95/52.56 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB89)) | (~v130(constB89, 2))),
% 82.95/52.56 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 82.95/52.56 tff(13119,plain,
% 82.95/52.56 (~v119(constB89)),
% 82.95/52.56 inference(unit_resolution,[status(thm)],[13118, 542, 13110])).
% 82.95/52.56 tff(13120,assumption,(v90(constB90, 1)), introduced(assumption)).
% 82.95/52.56 tff(13121,plain,
% 82.95/52.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13122,plain,
% 82.95/52.57 (((~v90(constB90, 1)) | (~v100(constB90)) | v129(constB90, 1)) <=> ((~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13123,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB90, 1)) | (~v100(constB90)) | v129(constB90, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13122])).
% 82.95/52.57 tff(13124,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB90, 1)) | (~v100(constB90)) | v129(constB90, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13123, 13121])).
% 82.95/52.57 tff(13125,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB90, 1)) | (~v100(constB90)) | v129(constB90, 1))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13126,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB90, 1)) | v129(constB90, 1) | (~v100(constB90))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 82.95/52.57 tff(13127,plain,
% 82.95/52.57 (v129(constB90, 1) | (~v100(constB90))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13126, 416, 13120])).
% 82.95/52.57 tff(13128,plain,
% 82.95/52.57 (v129(constB90, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13127, 13075])).
% 82.95/52.57 tff(13129,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v127(constB89, 1) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB89, constB90)) | v127(constB89, 1) | (~v129(constB90, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13130,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v127(constB89, 1) | (~v129(constB90, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13131,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB89, constB90)) | v127(constB89, 1) | (~v129(constB90, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 82.95/52.57 tff(13132,plain,
% 82.95/52.57 (v127(constB89, 1) | (~v129(constB90, 1))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13131, 401, 12364])).
% 82.95/52.57 tff(13133,plain,
% 82.95/52.57 (v127(constB89, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13132, 13128])).
% 82.95/52.57 tff(13134,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13135,plain,
% 82.95/52.57 ((v26(constB89) | v130(constB89, 1) | (~v127(constB89, 1))) <=> ((~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13136,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB89) | v130(constB89, 1) | (~v127(constB89, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1)))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13135])).
% 82.95/52.57 tff(13137,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB89) | v130(constB89, 1) | (~v127(constB89, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13136, 13134])).
% 82.95/52.57 tff(13138,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB89) | v130(constB89, 1) | (~v127(constB89, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13139,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB89, 1)) | v26(constB89) | v130(constB89, 1)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 82.95/52.57 tff(13140,plain,
% 82.95/52.57 ((~v127(constB89, 1)) | v130(constB89, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13139, 383, 12346])).
% 82.95/52.57 tff(13141,plain,
% 82.95/52.57 (v130(constB89, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13140, 13133])).
% 82.95/52.57 tff(13142,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13143,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13144,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB89) | v120(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13143, 13142])).
% 82.95/52.57 tff(13145,plain,
% 82.95/52.57 (v123(constB89)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13144, 2135, 13141, 13119, 13115, 13111, 13105, 13101])).
% 82.95/52.57 tff(13146,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB89)) | (~v130(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB89)) | (~v130(constB89, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13147,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB89)) | (~v130(constB89, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13148,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB89)) | (~v130(constB89, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13147, 13146])).
% 82.95/52.57 tff(13149,plain,
% 82.95/52.57 ($false),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13148, 1623, 13141, 13145])).
% 82.95/52.57 tff(13150,plain,((~v100(constB90)) | (~v90(constB90, 1)) | (~v90(constB90, 0)) | (~v90(constB90, 2))), inference(lemma,lemma(discharge,[]))).
% 82.95/52.57 tff(13151,plain,
% 82.95/52.57 (~v100(constB90)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13150, 13074, 13056, 13038])).
% 82.95/52.57 tff(13152,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13153,plain,
% 82.95/52.57 (((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2))) <=> (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13154,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13153])).
% 82.95/52.57 tff(13155,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13154, 13152])).
% 82.95/52.57 tff(13156,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13157,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB89, 2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 82.95/52.57 tff(13158,plain,
% 82.95/52.57 (v90(constB89, 2) | v100(constB90) | (~v90(constB90, 2))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13157, 98, 12364])).
% 82.95/52.57 tff(13159,plain,
% 82.95/52.57 (v90(constB89, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13158, 13151, 13038])).
% 82.95/52.57 tff(13160,plain,
% 82.95/52.57 (v90(constB88, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12243, 13159])).
% 82.95/52.57 tff(13161,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13162,plain,
% 82.95/52.57 (((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1))) <=> (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13163,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13162])).
% 82.95/52.57 tff(13164,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13163, 13161])).
% 82.95/52.57 tff(13165,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB89, constB90)) | v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13166,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB89, 1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13165, 13164])).
% 82.95/52.57 tff(13167,plain,
% 82.95/52.57 (v90(constB89, 1) | v100(constB90) | (~v90(constB90, 1))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13166, 119, 12364])).
% 82.95/52.57 tff(13168,plain,
% 82.95/52.57 (v90(constB89, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13167, 13151, 13074])).
% 82.95/52.57 tff(13169,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13170,plain,
% 82.95/52.57 (((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1))) <=> (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13171,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13170])).
% 82.95/52.57 tff(13172,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13171, 13169])).
% 82.95/52.57 tff(13173,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB88, constB89)) | v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13174,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB88, 1) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 82.95/52.57 tff(13175,plain,
% 82.95/52.57 (v90(constB88, 1) | v100(constB89) | (~v90(constB89, 1))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13174, 119, 12223])).
% 82.95/52.57 tff(13176,plain,
% 82.95/52.57 (v90(constB88, 1) | (~v90(constB89, 1))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13175, 12235])).
% 82.95/52.57 tff(13177,plain,
% 82.95/52.57 (v90(constB88, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13176, 13168])).
% 82.95/52.57 tff(13178,assumption,(v90(constB88, 2)), introduced(assumption)).
% 82.95/52.57 tff(13179,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13180,plain,
% 82.95/52.57 (((~nextState(constB87, constB88)) | v90(constB87, 2) | v100(constB88) | (~v90(constB88, 2))) <=> (v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13181,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v90(constB87, 2) | v100(constB88) | (~v90(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13180])).
% 82.95/52.57 tff(13182,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v90(constB87, 2) | v100(constB88) | (~v90(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13181, 13179])).
% 82.95/52.57 tff(13183,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v90(constB87, 2) | v100(constB88) | (~v90(constB88, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13184,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB87, 2) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 82.95/52.57 tff(13185,plain,
% 82.95/52.57 (v90(constB87, 2) | v100(constB88) | (~v90(constB88, 2))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13184, 98, 12161])).
% 82.95/52.57 tff(13186,plain,
% 82.95/52.57 (v100(constB88)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13185, 13011, 13178])).
% 82.95/52.57 tff(13187,plain,
% 82.95/52.57 (v129(constB88, 2) | (~v100(constB88))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12215, 589, 13178])).
% 82.95/52.57 tff(13188,plain,
% 82.95/52.57 (v129(constB88, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13187, 13186])).
% 82.95/52.57 tff(13189,plain,
% 82.95/52.57 (v127(constB87, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12211, 13188])).
% 82.95/52.57 tff(13190,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB87)) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB87)) | (~v127(constB87, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13191,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB87)) | (~v127(constB87, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13192,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB87)) | (~v127(constB87, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 82.95/52.57 tff(13193,plain,
% 82.95/52.57 (~v26(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13192, 10857, 13189])).
% 82.95/52.57 tff(13194,plain,
% 82.95/52.57 (v130(constB87, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12205, 556, 13189, 13193])).
% 82.95/52.57 tff(13195,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB87)) | (~v130(constB87, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13196,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB87)) | (~v130(constB87, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13197,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB87)) | (~v130(constB87, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13196, 13195])).
% 82.95/52.57 tff(13198,plain,
% 82.95/52.57 (~v119(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13197, 542, 13194])).
% 82.95/52.57 tff(13199,plain,
% 82.95/52.57 (~v120(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12198, 744, 13194])).
% 82.95/52.57 tff(13200,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB87)) | (~v130(constB87, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13201,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB87)) | (~v130(constB87, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13202,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB87)) | (~v130(constB87, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 82.95/52.57 tff(13203,plain,
% 82.95/52.57 (~v121(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13202, 1052, 13194])).
% 82.95/52.57 tff(13204,plain,
% 82.95/52.57 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ((~v123(VarCurr)) | v90(VarCurr, 2)))),
% 82.95/52.57 inference(bind,[status(th)],[])).
% 82.95/52.57 tff(13205,plain,
% 82.95/52.57 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 82.95/52.57 inference(quant_intro,[status(thm)],[13204])).
% 82.95/52.57 tff(13206,plain,
% 82.95/52.57 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13207,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 82.95/52.57 tff(13208,plain,
% 82.95/52.57 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 82.95/52.57 tff(13209,plain,(
% 82.95/52.57 ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 82.95/52.57 inference(skolemize,[status(sab)],[13208])).
% 82.95/52.57 tff(13210,plain,
% 82.95/52.57 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13209, 13205])).
% 82.95/52.57 tff(13211,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB87)) | v90(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB87)) | v90(constB87, 2))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13212,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB87)) | v90(constB87, 2))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13213,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB87)) | v90(constB87, 2)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 82.95/52.57 tff(13214,plain,
% 82.95/52.57 (~v123(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13213, 13210, 13011])).
% 82.95/52.57 tff(13215,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB87)) | v90(constB87, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB87)) | v90(constB87, 2))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13216,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB87)) | v90(constB87, 2))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13217,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB87)) | v90(constB87, 2)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 82.95/52.57 tff(13218,plain,
% 82.95/52.57 (~v124(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13217, 5840, 13011])).
% 82.95/52.57 tff(13219,assumption,(v90(constB88, 1)), introduced(assumption)).
% 82.95/52.57 tff(13220,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13221,plain,
% 82.95/52.57 (((~v90(constB88, 1)) | (~v100(constB88)) | v129(constB88, 1)) <=> ((~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13222,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB88, 1)) | (~v100(constB88)) | v129(constB88, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13221])).
% 82.95/52.57 tff(13223,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB88, 1)) | (~v100(constB88)) | v129(constB88, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13222, 13220])).
% 82.95/52.57 tff(13224,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB88, 1)) | (~v100(constB88)) | v129(constB88, 1))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13225,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB88, 1)) | v129(constB88, 1) | (~v100(constB88))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 82.95/52.57 tff(13226,plain,
% 82.95/52.57 (v129(constB88, 1) | (~v100(constB88))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13225, 416, 13219])).
% 82.95/52.57 tff(13227,plain,
% 82.95/52.57 (v129(constB88, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13226, 13186])).
% 82.95/52.57 tff(13228,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB87, constB88)) | v127(constB87, 1) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB87, constB88)) | v127(constB87, 1) | (~v129(constB88, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13229,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB87, constB88)) | v127(constB87, 1) | (~v129(constB88, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13230,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB87, constB88)) | v127(constB87, 1) | (~v129(constB88, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13229, 13228])).
% 82.95/52.57 tff(13231,plain,
% 82.95/52.57 (v127(constB87, 1) | (~v129(constB88, 1))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13230, 401, 12161])).
% 82.95/52.57 tff(13232,plain,
% 82.95/52.57 (v127(constB87, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13231, 13227])).
% 82.95/52.57 tff(13233,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13234,plain,
% 82.95/52.57 ((v26(constB87) | v130(constB87, 1) | (~v127(constB87, 1))) <=> ((~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13235,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB87) | v130(constB87, 1) | (~v127(constB87, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1)))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13234])).
% 82.95/52.57 tff(13236,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB87) | v130(constB87, 1) | (~v127(constB87, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13235, 13233])).
% 82.95/52.57 tff(13237,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB87) | v130(constB87, 1) | (~v127(constB87, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13238,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB87, 1)) | v26(constB87) | v130(constB87, 1)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 82.95/52.57 tff(13239,plain,
% 82.95/52.57 (v130(constB87, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13238, 383, 13232, 13193])).
% 82.95/52.57 tff(13240,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | (~v130(constB87, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | (~v130(constB87, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13241,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | (~v130(constB87, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13242,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB87) | v120(constB87) | v121(constB87) | v122(constB87) | v123(constB87) | v124(constB87) | (~v130(constB87, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13241, 13240])).
% 82.95/52.57 tff(13243,plain,
% 82.95/52.57 (v122(constB87)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13242, 2135, 13239, 13218, 13214, 13203, 13199, 13198])).
% 82.95/52.57 tff(13244,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB87)) | (~v130(constB87, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB87)) | (~v130(constB87, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13245,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB87)) | (~v130(constB87, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13246,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB87)) | (~v130(constB87, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 82.95/52.57 tff(13247,plain,
% 82.95/52.57 ($false),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13246, 1390, 13239, 13243])).
% 82.95/52.57 tff(13248,plain,(v90(constB87, 2) | (~v90(constB88, 1)) | (~v90(constB88, 2))), inference(lemma,lemma(discharge,[]))).
% 82.95/52.57 tff(13249,plain,
% 82.95/52.57 ($false),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13248, 13177, 13160, 13011])).
% 82.95/52.57 tff(13250,plain,(v100(constB92) | v90(constB87, 2) | (~v90(constB92, 1)) | (~v90(constB92, 0)) | (~v90(constB92, 2))), inference(lemma,lemma(discharge,[]))).
% 82.95/52.57 tff(13251,plain,
% 82.95/52.57 (v100(constB92)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13250, 13027, 13011, 13024, 13021])).
% 82.95/52.57 tff(13252,plain,
% 82.95/52.57 (v129(constB92, 1) | (~v100(constB92))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12666, 416, 13027])).
% 82.95/52.57 tff(13253,plain,
% 82.95/52.57 (v129(constB92, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13252, 13251])).
% 82.95/52.57 tff(13254,plain,
% 82.95/52.57 (v127(constB91, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12659, 13253])).
% 82.95/52.57 tff(13255,plain,
% 82.95/52.57 (v130(constB91, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12654, 13254])).
% 82.95/52.57 tff(13256,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13257,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13258,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB92, 2)) | v129(constB92, 2) | (~v100(constB92))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13257, 13256])).
% 82.95/52.57 tff(13259,plain,
% 82.95/52.57 (v129(constB92, 2) | (~v100(constB92))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13258, 589, 13021])).
% 82.95/52.57 tff(13260,plain,
% 82.95/52.57 (v129(constB92, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13259, 13251])).
% 82.95/52.57 tff(13261,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13262,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13263,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB91, constB92)) | v127(constB91, 2) | (~v129(constB92, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13262, 13261])).
% 82.95/52.57 tff(13264,plain,
% 82.95/52.57 (v127(constB91, 2) | (~v129(constB92, 2))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13263, 574, 12560])).
% 82.95/52.57 tff(13265,plain,
% 82.95/52.57 (v127(constB91, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13264, 13260])).
% 82.95/52.57 tff(13266,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13267,plain,
% 82.95/52.57 ((v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2))) <=> ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13268,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2)))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13267])).
% 82.95/52.57 tff(13269,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13268, 13266])).
% 82.95/52.57 tff(13270,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB91) | v130(constB91, 2) | (~v127(constB91, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13271,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB91, 2)) | v26(constB91) | v130(constB91, 2)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 82.95/52.57 tff(13272,plain,
% 82.95/52.57 ((~v127(constB91, 2)) | v130(constB91, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13271, 556, 12542])).
% 82.95/52.57 tff(13273,plain,
% 82.95/52.57 (v130(constB91, 2)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13272, 13265])).
% 82.95/52.57 tff(13274,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB91)) | (~v130(constB91, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB91)) | (~v130(constB91, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13275,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB91)) | (~v130(constB91, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13276,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB91)) | (~v130(constB91, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13275, 13274])).
% 82.95/52.57 tff(13277,plain,
% 82.95/52.57 (~v121(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13276, 1052, 13273])).
% 82.95/52.57 tff(13278,plain,
% 82.95/52.57 (v129(constB92, 0) | (~v100(constB92))),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12700, 929, 13024])).
% 82.95/52.57 tff(13279,plain,
% 82.95/52.57 (v129(constB92, 0)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13278, 13251])).
% 82.95/52.57 tff(13280,plain,
% 82.95/52.57 (v127(constB91, 0)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12693, 13279])).
% 82.95/52.57 tff(13281,plain,
% 82.95/52.57 (v130(constB91, 0)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12688, 13280])).
% 82.95/52.57 tff(13282,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13283,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13284,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB91)) | (~v130(constB91, 0))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 82.95/52.57 tff(13285,plain,
% 82.95/52.57 (~v120(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13284, 882, 13281])).
% 82.95/52.57 tff(13286,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB91)) | (~v130(constB91, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB91)) | (~v130(constB91, 2)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13287,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB91)) | (~v130(constB91, 2)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13288,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB91)) | (~v130(constB91, 2))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 82.95/52.57 tff(13289,plain,
% 82.95/52.57 (~v119(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13288, 542, 13273])).
% 82.95/52.57 tff(13290,plain,
% 82.95/52.57 (~v122(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12680, 1431, 13281])).
% 82.95/52.57 tff(13291,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13292,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB91)) | (~v130(constB91, 0)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13293,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB91)) | (~v130(constB91, 0))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13292, 13291])).
% 82.95/52.57 tff(13294,plain,
% 82.95/52.57 (~v124(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13293, 1882, 13281])).
% 82.95/52.57 tff(13295,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13296,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13297,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB91) | v120(constB91) | v121(constB91) | v122(constB91) | v123(constB91) | v124(constB91) | (~v130(constB91, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 82.95/52.57 tff(13298,plain,
% 82.95/52.57 (v123(constB91)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13297, 2135, 13294, 13290, 13255, 13289, 13285, 13277])).
% 82.95/52.57 tff(13299,plain,
% 82.95/52.57 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB91)) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB91)) | (~v130(constB91, 1)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13300,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB91)) | (~v130(constB91, 1)))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13301,plain,
% 82.95/52.57 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB91)) | (~v130(constB91, 1))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 82.95/52.57 tff(13302,plain,
% 82.95/52.57 ($false),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13301, 1623, 13298, 13255])).
% 82.95/52.57 tff(13303,plain,(v100(constB94) | v90(constB87, 2) | (~v90(constB94, 1)) | (~v90(constB94, 2)) | (~v90(constB94, 0))), inference(lemma,lemma(discharge,[]))).
% 82.95/52.57 tff(13304,plain,
% 82.95/52.57 (~v90(constB94, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13303, 13012, 13011, 12740, 12968])).
% 82.95/52.57 tff(13305,plain,
% 82.95/52.57 ($false),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[12799, 13304, 13010, 12740])).
% 82.95/52.57 tff(13306,plain,(v100(constB94) | v90(constB87, 2)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.57 tff(13307,plain,
% 82.95/52.57 (v100(constB94)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13306, 12037])).
% 82.95/52.57 tff(13308,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13309,plain,
% 82.95/52.57 (((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1)) <=> ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13310,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13309])).
% 82.95/52.57 tff(13311,plain,
% 82.95/52.57 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13310, 13308])).
% 82.95/52.57 tff(13312,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13313,plain,
% 82.95/52.57 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13312, 13311])).
% 82.95/52.57 tff(13314,plain,
% 82.95/52.57 ((~v90(constB94, 1)) | v129(constB94, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13313, 416, 13307])).
% 82.95/52.57 tff(13315,plain,
% 82.95/52.57 (~v90(constB94, 1)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13314, 12739])).
% 82.95/52.57 tff(13316,plain,
% 82.95/52.57 ((~v1(constB95)) <=> (~v1(constB95))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13317,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 82.95/52.57 tff(13318,plain,
% 82.95/52.57 (~v1(constB95)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13317, 13316])).
% 82.95/52.57 tff(13319,plain,
% 82.95/52.57 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13320,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 82.95/52.57 tff(13321,plain,
% 82.95/52.57 (nextState(constB94, constB95)),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13320, 13319])).
% 82.95/52.57 tff(13322,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13323,plain,
% 82.95/52.57 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.57 tff(13324,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 82.95/52.57 inference(monotonicity,[status(thm)],[13323])).
% 82.95/52.57 tff(13325,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 82.95/52.57 inference(transitivity,[status(thm)],[13324, 13322])).
% 82.95/52.57 tff(13326,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 82.95/52.57 inference(quant_inst,[status(thm)],[])).
% 82.95/52.57 tff(13327,plain,
% 82.95/52.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 82.95/52.57 inference(modus_ponens,[status(thm)],[13326, 13325])).
% 82.95/52.57 tff(13328,plain,
% 82.95/52.57 (~v101(constB95)),
% 82.95/52.57 inference(unit_resolution,[status(thm)],[13327, 66, 13321, 13318])).
% 82.95/52.57 tff(13329,plain,
% 82.95/52.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 82.95/52.57 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13330,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13331,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 82.95/52.58 tff(13332,plain,
% 82.95/52.58 (v101(constB95) | (~v100(constB95))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13331, 83, 13321])).
% 82.95/52.58 tff(13333,plain,
% 82.95/52.58 (~v100(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13332, 13328])).
% 82.95/52.58 tff(13334,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13335,plain,
% 82.95/52.58 (((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))) <=> (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13336,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13335])).
% 82.95/52.58 tff(13337,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13336, 13334])).
% 82.95/52.58 tff(13338,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13339,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 82.95/52.58 tff(13340,plain,
% 82.95/52.58 (v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13339, 119, 13321])).
% 82.95/52.58 tff(13341,plain,
% 82.95/52.58 (v90(constB94, 1) | (~v90(constB95, 1))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13340, 13333])).
% 82.95/52.58 tff(13342,plain,
% 82.95/52.58 (~v90(constB95, 1)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13341, 13315])).
% 82.95/52.58 tff(13343,plain,
% 82.95/52.58 (v90(constB94, 0)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[12951, 12715])).
% 82.95/52.58 tff(13344,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13345,plain,
% 82.95/52.58 (((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)) <=> ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13346,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13345])).
% 82.95/52.58 tff(13347,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13346, 13344])).
% 82.95/52.58 tff(13348,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13349,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 82.95/52.58 tff(13350,plain,
% 82.95/52.58 ((~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13349, 526, 13321])).
% 82.95/52.58 tff(13351,plain,
% 82.95/52.58 ((~v90(constB94, 0)) | v90(constB95, 0)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13350, 13333])).
% 82.95/52.58 tff(13352,plain,
% 82.95/52.58 (v90(constB95, 0)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13351, 13343])).
% 82.95/52.58 tff(13353,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB95)) | (~v90(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB95)) | (~v90(constB95, 0)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13354,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB95)) | (~v90(constB95, 0)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13355,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB95)) | (~v90(constB95, 0))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 82.95/52.58 tff(13356,plain,
% 82.95/52.58 (~v123(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13355, 5851, 13352])).
% 82.95/52.58 tff(13357,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13358,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13359,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 82.95/52.58 tff(13360,plain,
% 82.95/52.58 (v130(constB93, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13359, 1567, 12715])).
% 82.95/52.58 tff(13361,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13362,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13363,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 82.95/52.58 tff(13364,plain,
% 82.95/52.58 ((~v130(constB93, 2)) | v127(constB93, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13363, 1212, 12723])).
% 82.95/52.58 tff(13365,plain,
% 82.95/52.58 (v127(constB93, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13364, 13360])).
% 82.95/52.58 tff(13366,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13367,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13368,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 82.95/52.58 tff(13369,plain,
% 82.95/52.58 ((~v127(constB93, 2)) | v129(constB94, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13368, 1230, 12734])).
% 82.95/52.58 tff(13370,plain,
% 82.95/52.58 (v129(constB94, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13369, 13365])).
% 82.95/52.58 tff(13371,plain,
% 82.95/52.58 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13372,plain,
% 82.95/52.58 ((v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2))) <=> (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13373,plain,
% 82.95/52.58 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13372])).
% 82.95/52.58 tff(13374,plain,
% 82.95/52.58 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13373, 13371])).
% 82.95/52.58 tff(13375,plain,
% 82.95/52.58 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13376,plain,
% 82.95/52.58 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 82.95/52.58 tff(13377,plain,
% 82.95/52.58 (v90(constB94, 2) | (~v129(constB94, 2))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13376, 1338, 13307])).
% 82.95/52.58 tff(13378,plain,
% 82.95/52.58 (v90(constB94, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13377, 13370])).
% 82.95/52.58 tff(13379,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13380,plain,
% 82.95/52.58 (((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)) <=> ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13381,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13380])).
% 82.95/52.58 tff(13382,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13381, 13379])).
% 82.95/52.58 tff(13383,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13384,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13383, 13382])).
% 82.95/52.58 tff(13385,plain,
% 82.95/52.58 ((~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13384, 1374, 13321])).
% 82.95/52.58 tff(13386,plain,
% 82.95/52.58 ((~v90(constB94, 2)) | v90(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13385, 13333])).
% 82.95/52.58 tff(13387,plain,
% 82.95/52.58 (v90(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13386, 13378])).
% 82.95/52.58 tff(13388,assumption,(~v123(constB95)), introduced(assumption)).
% 82.95/52.58 tff(13389,assumption,(~v90(constB95, 1)), introduced(assumption)).
% 82.95/52.58 tff(13390,assumption,(~v124(constB95)), introduced(assumption)).
% 82.95/52.58 tff(13391,assumption,(v90(constB95, 2)), introduced(assumption)).
% 82.95/52.58 tff(13392,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13393,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13394,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 82.95/52.58 tff(13395,plain,
% 82.95/52.58 ((~v90(constB95, 0)) | v90(constB95, 1) | v124(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13394, 1705, 13391])).
% 82.95/52.58 tff(13396,plain,
% 82.95/52.58 (~v90(constB95, 0)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13395, 13389, 13390])).
% 82.95/52.58 tff(13397,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13398,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13399,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB95, 0) | v90(constB95, 1) | (~v90(constB95, 2)) | v123(constB95)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13398, 13397])).
% 82.95/52.58 tff(13400,plain,
% 82.95/52.58 (v90(constB95, 0) | v90(constB95, 1) | v123(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13399, 1475, 13391])).
% 82.95/52.58 tff(13401,plain,
% 82.95/52.58 ($false),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13400, 13396, 13389, 13388])).
% 82.95/52.58 tff(13402,plain,(v90(constB95, 1) | v123(constB95) | (~v90(constB95, 2)) | v124(constB95)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.58 tff(13403,plain,
% 82.95/52.58 (v124(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13402, 13387, 13356, 13342])).
% 82.95/52.58 tff(13404,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13405,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13406,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13405, 13404])).
% 82.95/52.58 tff(13407,plain,
% 82.95/52.58 (v114(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13406, 1741, 13403])).
% 82.95/52.58 tff(13408,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13409,plain,
% 82.95/52.58 (((~v114(constB95)) | v113(constB95)) <=> (v113(constB95) | (~v114(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13410,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB95) | (~v114(constB95))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13409])).
% 82.95/52.58 tff(13411,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13410, 13408])).
% 82.95/52.58 tff(13412,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13413,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB95) | (~v114(constB95))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13412, 13411])).
% 82.95/52.58 tff(13414,plain,
% 82.95/52.58 (v113(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13413, 242, 13407])).
% 82.95/52.58 tff(13415,assumption,(v26(constB95)), introduced(assumption)).
% 82.95/52.58 tff(13416,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13417,plain,
% 82.95/52.58 ($false),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13416, 19, 13415])).
% 82.95/52.58 tff(13418,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.58 tff(13419,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13420,plain,
% 82.95/52.58 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13421,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | v112(constB95) | (~v113(constB95))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13420])).
% 82.95/52.58 tff(13422,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13421, 13419])).
% 82.95/52.58 tff(13423,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13424,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 82.95/52.58 tff(13425,plain,
% 82.95/52.58 (v112(constB95) | (~v113(constB95))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13424, 256, 13418])).
% 82.95/52.58 tff(13426,plain,
% 82.95/52.58 (v112(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13425, 13414])).
% 82.95/52.58 tff(13427,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13428,plain,
% 82.95/52.58 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13429,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13428])).
% 82.95/52.58 tff(13430,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13429, 13427])).
% 82.95/52.58 tff(13431,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13432,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 82.95/52.58 tff(13433,plain,
% 82.95/52.58 (v108(constB95)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13432, 268, 13426])).
% 82.95/52.58 tff(13434,plain,
% 82.95/52.58 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13435,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 82.95/52.58 tff(13436,plain,
% 82.95/52.58 (nextState(constB95, constB96)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 82.95/52.58 tff(13437,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13438,plain,
% 82.95/52.58 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13439,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13438])).
% 82.95/52.58 tff(13440,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13439, 13437])).
% 82.95/52.58 tff(13441,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13442,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 82.95/52.58 tff(13443,plain,
% 82.95/52.58 (v110(constB96) | (~v108(constB95))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13442, 288, 13436])).
% 82.95/52.58 tff(13444,plain,
% 82.95/52.58 (v110(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13443, 13433])).
% 82.95/52.58 tff(13445,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13446,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13447,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13446, 13445])).
% 82.95/52.58 tff(13448,plain,
% 82.95/52.58 (~v104(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13447, 306, 13436, 13318])).
% 82.95/52.58 tff(13449,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13450,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13451,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 82.95/52.58 tff(13452,plain,
% 82.95/52.58 (v102(constB96) | v104(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13451, 320, 13436])).
% 82.95/52.58 tff(13453,plain,
% 82.95/52.58 (v102(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13452, 13448])).
% 82.95/52.58 tff(13454,plain,
% 82.95/52.58 (v1(constB96) <=> v1(constB96)),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13455,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 82.95/52.58 tff(13456,plain,
% 82.95/52.58 (v1(constB96)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 82.95/52.58 tff(13457,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13458,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13459,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 82.95/52.58 tff(13460,plain,
% 82.95/52.58 (v101(constB96) | (~v102(constB96))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13459, 338, 13436, 13456])).
% 82.95/52.58 tff(13461,plain,
% 82.95/52.58 (v101(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13460, 13453])).
% 82.95/52.58 tff(13462,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13463,plain,
% 82.95/52.58 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13464,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 82.95/52.58 inference(monotonicity,[status(thm)],[13463])).
% 82.95/52.58 tff(13465,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 82.95/52.58 inference(transitivity,[status(thm)],[13464, 13462])).
% 82.95/52.58 tff(13466,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13467,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 82.95/52.58 tff(13468,plain,
% 82.95/52.58 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13467, 353, 13436])).
% 82.95/52.58 tff(13469,plain,
% 82.95/52.58 (v100(constB96) | (~v110(constB96))),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13468, 13461])).
% 82.95/52.58 tff(13470,plain,
% 82.95/52.58 (v100(constB96)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13469, 13444])).
% 82.95/52.58 tff(13471,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13472,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13473,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 82.95/52.58 tff(13474,plain,
% 82.95/52.58 (v130(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13473, 1716, 13403])).
% 82.95/52.58 tff(13475,plain,
% 82.95/52.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13476,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13477,plain,
% 82.95/52.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13476, 13475])).
% 82.95/52.58 tff(13478,plain,
% 82.95/52.58 ((~v130(constB95, 2)) | v127(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13477, 1212, 13418])).
% 82.95/52.58 tff(13479,plain,
% 82.95/52.58 (v127(constB95, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13478, 13474])).
% 82.95/52.58 tff(13480,plain,
% 82.95/52.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 82.95/52.58 inference(rewrite,[status(thm)],[])).
% 82.95/52.58 tff(13481,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 82.95/52.58 inference(quant_inst,[status(thm)],[])).
% 82.95/52.58 tff(13482,plain,
% 82.95/52.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2)),
% 82.95/52.58 inference(modus_ponens,[status(thm)],[13481, 13480])).
% 82.95/52.58 tff(13483,plain,
% 82.95/52.58 ((~v127(constB95, 2)) | v129(constB96, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13482, 1230, 13436])).
% 82.95/52.58 tff(13484,plain,
% 82.95/52.58 (v129(constB96, 2)),
% 82.95/52.58 inference(unit_resolution,[status(thm)],[13483, 13479])).
% 82.95/52.58 tff(13485,plain,
% 82.95/52.58 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13486,plain,
% 82.95/52.59 ((v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2))) <=> (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13487,plain,
% 82.95/52.59 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13486])).
% 82.95/52.59 tff(13488,plain,
% 82.95/52.59 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13487, 13485])).
% 82.95/52.59 tff(13489,plain,
% 82.95/52.59 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13490,plain,
% 82.95/52.59 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13489, 13488])).
% 82.95/52.59 tff(13491,plain,
% 82.95/52.59 (v90(constB96, 2) | (~v100(constB96))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13490, 1338, 13484])).
% 82.95/52.59 tff(13492,plain,
% 82.95/52.59 (v90(constB96, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13491, 13470])).
% 82.95/52.59 tff(13493,plain,
% 82.95/52.59 ((~v1(constB97)) <=> (~v1(constB97))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13494,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 82.95/52.59 tff(13495,plain,
% 82.95/52.59 (~v1(constB97)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 82.95/52.59 tff(13496,plain,
% 82.95/52.59 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13497,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 82.95/52.59 tff(13498,plain,
% 82.95/52.59 (nextState(constB96, constB97)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13497, 13496])).
% 82.95/52.59 tff(13499,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13500,plain,
% 82.95/52.59 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13501,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13500])).
% 82.95/52.59 tff(13502,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13501, 13499])).
% 82.95/52.59 tff(13503,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13504,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 82.95/52.59 tff(13505,plain,
% 82.95/52.59 (~v101(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13504, 66, 13498, 13495])).
% 82.95/52.59 tff(13506,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13507,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13508,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 82.95/52.59 tff(13509,plain,
% 82.95/52.59 (v101(constB97) | (~v100(constB97))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13508, 83, 13498])).
% 82.95/52.59 tff(13510,plain,
% 82.95/52.59 (~v100(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13509, 13505])).
% 82.95/52.59 tff(13511,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13512,plain,
% 82.95/52.59 (((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)) <=> ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13513,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13512])).
% 82.95/52.59 tff(13514,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13513, 13511])).
% 82.95/52.59 tff(13515,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13516,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 82.95/52.59 tff(13517,plain,
% 82.95/52.59 ((~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13516, 1374, 13498])).
% 82.95/52.59 tff(13518,plain,
% 82.95/52.59 ((~v90(constB96, 2)) | v90(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13517, 13510])).
% 82.95/52.59 tff(13519,plain,
% 82.95/52.59 (v90(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13518, 13492])).
% 82.95/52.59 tff(13520,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13521,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13522,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 82.95/52.59 tff(13523,plain,
% 82.95/52.59 (~v121(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13522, 2017, 13519])).
% 82.95/52.59 tff(13524,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13525,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13526,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 82.95/52.59 tff(13527,plain,
% 82.95/52.59 (v130(constB95, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13526, 1767, 13403])).
% 82.95/52.59 tff(13528,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13529,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13530,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 82.95/52.59 tff(13531,plain,
% 82.95/52.59 ((~v130(constB95, 1)) | v127(constB95, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13530, 818, 13418])).
% 82.95/52.59 tff(13532,plain,
% 82.95/52.59 (v127(constB95, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13531, 13527])).
% 82.95/52.59 tff(13533,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13534,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13535,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 82.95/52.59 tff(13536,plain,
% 82.95/52.59 ((~v127(constB95, 1)) | v129(constB96, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13535, 833, 13436])).
% 82.95/52.59 tff(13537,plain,
% 82.95/52.59 (v129(constB96, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13536, 13532])).
% 82.95/52.59 tff(13538,plain,
% 82.95/52.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13539,plain,
% 82.95/52.59 ((v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1))) <=> (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13540,plain,
% 82.95/52.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13539])).
% 82.95/52.59 tff(13541,plain,
% 82.95/52.59 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13540, 13538])).
% 82.95/52.59 tff(13542,plain,
% 82.95/52.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13543,plain,
% 82.95/52.59 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 82.95/52.59 tff(13544,plain,
% 82.95/52.59 (v90(constB96, 1) | (~v100(constB96))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13543, 848, 13537])).
% 82.95/52.59 tff(13545,plain,
% 82.95/52.59 (v90(constB96, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13544, 13470])).
% 82.95/52.59 tff(13546,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13547,plain,
% 82.95/52.59 (((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)) <=> ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13548,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13547])).
% 82.95/52.59 tff(13549,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13548, 13546])).
% 82.95/52.59 tff(13550,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13551,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 82.95/52.59 tff(13552,plain,
% 82.95/52.59 ((~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13551, 866, 13498])).
% 82.95/52.59 tff(13553,plain,
% 82.95/52.59 ((~v90(constB96, 1)) | v90(constB97, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13552, 13510])).
% 82.95/52.59 tff(13554,plain,
% 82.95/52.59 (v90(constB97, 1)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13553, 13545])).
% 82.95/52.59 tff(13555,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13556,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13557,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 82.95/52.59 tff(13558,plain,
% 82.95/52.59 (~v123(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13557, 2050, 13554])).
% 82.95/52.59 tff(13559,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13560,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13561,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 82.95/52.59 tff(13562,plain,
% 82.95/52.59 (~v119(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13561, 2028, 13554])).
% 82.95/52.59 tff(13563,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13564,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13565,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13564, 13563])).
% 82.95/52.59 tff(13566,plain,
% 82.95/52.59 (~v122(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13565, 2006, 13519])).
% 82.95/52.59 tff(13567,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13568,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13569,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13568, 13567])).
% 82.95/52.59 tff(13570,plain,
% 82.95/52.59 (~v124(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13569, 2061, 13554])).
% 82.95/52.59 tff(13571,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13572,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13573,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13572, 13571])).
% 82.95/52.59 tff(13574,plain,
% 82.95/52.59 (~v120(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13573, 2039, 13554])).
% 82.95/52.59 tff(13575,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13576,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13577,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 82.95/52.59 tff(13578,plain,
% 82.95/52.59 (~v130(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13577, 2075, 13574, 13570, 13566, 13562, 13558, 13523])).
% 82.95/52.59 tff(13579,assumption,(v26(constB97)), introduced(assumption)).
% 82.95/52.59 tff(13580,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13581,plain,
% 82.95/52.59 ($false),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13580, 19, 13579])).
% 82.95/52.59 tff(13582,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 82.95/52.59 tff(13583,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13584,plain,
% 82.95/52.59 ((v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2))) <=> ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13585,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13584])).
% 82.95/52.59 tff(13586,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13585, 13583])).
% 82.95/52.59 tff(13587,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13588,plain,
% 82.95/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 82.95/52.59 tff(13589,plain,
% 82.95/52.59 ((~v127(constB97, 2)) | v130(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13588, 556, 13582])).
% 82.95/52.59 tff(13590,plain,
% 82.95/52.59 (~v127(constB97, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13589, 13578])).
% 82.95/52.59 tff(13591,plain,
% 82.95/52.59 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13592,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 82.95/52.59 tff(13593,plain,
% 82.95/52.59 (nextState(constB97, constB98)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13592, 13591])).
% 82.95/52.59 tff(13594,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13595,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13596,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13595, 13594])).
% 82.95/52.59 tff(13597,plain,
% 82.95/52.59 (v127(constB97, 2) | (~v129(constB98, 2))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13596, 574, 13593])).
% 82.95/52.59 tff(13598,plain,
% 82.95/52.59 (~v129(constB98, 2)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13597, 13590])).
% 82.95/52.59 tff(13599,assumption,(~v100(constB98)), introduced(assumption)).
% 82.95/52.59 tff(13600,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13601,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13602,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13601, 13600])).
% 82.95/52.59 tff(13603,plain,
% 82.95/52.59 (~v104(constB98)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13602, 306, 13593, 13495])).
% 82.95/52.59 tff(13604,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13605,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13606,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 82.95/52.59 tff(13607,plain,
% 82.95/52.59 (v102(constB98) | v104(constB98)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13606, 320, 13593])).
% 82.95/52.59 tff(13608,plain,
% 82.95/52.59 (v102(constB98)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13607, 13603])).
% 82.95/52.59 tff(13609,plain,
% 82.95/52.59 (v1(constB98) <=> v1(constB98)),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13610,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 82.95/52.59 tff(13611,plain,
% 82.95/52.59 (v1(constB98)),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 82.95/52.59 tff(13612,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13613,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13614,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 82.95/52.59 tff(13615,plain,
% 82.95/52.59 (v101(constB98) | (~v102(constB98))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13614, 338, 13593, 13611])).
% 82.95/52.59 tff(13616,plain,
% 82.95/52.59 (v101(constB98)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13615, 13608])).
% 82.95/52.59 tff(13617,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13618,plain,
% 82.95/52.59 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13619,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13618])).
% 82.95/52.59 tff(13620,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13619, 13617])).
% 82.95/52.59 tff(13621,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13622,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13621, 13620])).
% 82.95/52.59 tff(13623,plain,
% 82.95/52.59 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13622, 353, 13593])).
% 82.95/52.59 tff(13624,plain,
% 82.95/52.59 (v100(constB98) | (~v110(constB98))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13623, 13616])).
% 82.95/52.59 tff(13625,plain,
% 82.95/52.59 (~v110(constB98)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13624, 13599])).
% 82.95/52.59 tff(13626,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13627,plain,
% 82.95/52.59 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13628,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 82.95/52.59 inference(monotonicity,[status(thm)],[13627])).
% 82.95/52.59 tff(13629,plain,
% 82.95/52.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 82.95/52.59 inference(transitivity,[status(thm)],[13628, 13626])).
% 82.95/52.59 tff(13630,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 82.95/52.59 inference(quant_inst,[status(thm)],[])).
% 82.95/52.59 tff(13631,plain,
% 82.95/52.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 82.95/52.59 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 82.95/52.59 tff(13632,plain,
% 82.95/52.59 (v110(constB98) | (~v108(constB97))),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13631, 288, 13593])).
% 82.95/52.59 tff(13633,plain,
% 82.95/52.59 (~v108(constB97)),
% 82.95/52.59 inference(unit_resolution,[status(thm)],[13632, 13625])).
% 82.95/52.59 tff(13634,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13635,plain,
% 82.95/52.59 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 82.95/52.59 inference(rewrite,[status(thm)],[])).
% 82.95/52.59 tff(13636,plain,
% 82.95/52.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 83.02/52.59 inference(monotonicity,[status(thm)],[13635])).
% 83.02/52.59 tff(13637,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 83.02/52.59 inference(transitivity,[status(thm)],[13636, 13634])).
% 83.02/52.59 tff(13638,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 83.02/52.59 inference(quant_inst,[status(thm)],[])).
% 83.02/52.59 tff(13639,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 83.02/52.59 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 83.02/52.59 tff(13640,plain,
% 83.02/52.59 (~v112(constB97)),
% 83.02/52.59 inference(unit_resolution,[status(thm)],[13639, 268, 13633])).
% 83.02/52.59 tff(13641,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 83.02/52.59 inference(rewrite,[status(thm)],[])).
% 83.02/52.59 tff(13642,plain,
% 83.02/52.59 ((v26(constB97) | (~v113(constB97)) | v112(constB97)) <=> (v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 83.02/52.59 inference(rewrite,[status(thm)],[])).
% 83.02/52.59 tff(13643,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97))))),
% 83.02/52.59 inference(monotonicity,[status(thm)],[13642])).
% 83.02/52.59 tff(13644,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 83.02/52.59 inference(transitivity,[status(thm)],[13643, 13641])).
% 83.02/52.59 tff(13645,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 83.02/52.59 inference(quant_inst,[status(thm)],[])).
% 83.02/52.59 tff(13646,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97))),
% 83.02/52.59 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 83.02/52.59 tff(13647,plain,
% 83.02/52.59 (v112(constB97) | (~v113(constB97))),
% 83.02/52.59 inference(unit_resolution,[status(thm)],[13646, 256, 13582])).
% 83.02/52.59 tff(13648,plain,
% 83.02/52.59 (~v113(constB97)),
% 83.02/52.59 inference(unit_resolution,[status(thm)],[13647, 13640])).
% 83.02/52.59 tff(13649,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97))),
% 83.02/52.59 inference(rewrite,[status(thm)],[])).
% 83.02/52.59 tff(13650,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))),
% 83.02/52.59 inference(quant_inst,[status(thm)],[])).
% 83.02/52.59 tff(13651,plain,
% 83.02/52.59 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97)),
% 83.02/52.59 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 83.02/52.59 tff(13652,plain,
% 83.02/52.59 (~v125(constB97)),
% 83.02/52.59 inference(unit_resolution,[status(thm)],[13651, 1946, 13648])).
% 83.02/52.59 tff(13653,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v114(constB97)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97)))),
% 83.02/52.59 inference(rewrite,[status(thm)],[])).
% 83.02/52.59 tff(13654,plain,
% 83.02/52.59 (((~v114(constB97)) | v113(constB97)) <=> (v113(constB97) | (~v114(constB97)))),
% 83.02/52.59 inference(rewrite,[status(thm)],[])).
% 83.02/52.59 tff(13655,plain,
% 83.02/52.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB97) | (~v114(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13654])).
% 83.02/52.60 tff(13656,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13655, 13653])).
% 83.02/52.60 tff(13657,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB97)) | v113(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13658,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB97) | (~v114(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 83.02/52.60 tff(13659,plain,
% 83.02/52.60 (~v114(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13658, 242, 13648])).
% 83.02/52.60 tff(13660,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13661,plain,
% 83.02/52.60 (((~v115(constB97)) | v114(constB97)) <=> (v114(constB97) | (~v115(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13662,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB97) | (~v115(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13661])).
% 83.02/52.60 tff(13663,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13662, 13660])).
% 83.02/52.60 tff(13664,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB97)) | v114(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13665,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB97) | (~v115(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 83.02/52.60 tff(13666,plain,
% 83.02/52.60 (~v115(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13665, 228, 13659])).
% 83.02/52.60 tff(13667,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13668,plain,
% 83.02/52.60 (((~v116(constB97)) | v115(constB97)) <=> (v115(constB97) | (~v116(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13669,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB97) | (~v116(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13668])).
% 83.02/52.60 tff(13670,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13669, 13667])).
% 83.02/52.60 tff(13671,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB97)) | v115(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13672,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB97) | (~v116(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13671, 13670])).
% 83.02/52.60 tff(13673,plain,
% 83.02/52.60 (~v116(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13672, 214, 13666])).
% 83.02/52.60 tff(13674,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v122(constB97)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v122(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13675,plain,
% 83.02/52.60 (((~v122(constB97)) | v116(constB97)) <=> (v116(constB97) | (~v122(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13676,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v122(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13675])).
% 83.02/52.60 tff(13677,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v122(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13676, 13674])).
% 83.02/52.60 tff(13678,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB97)) | v116(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13679,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v122(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 83.02/52.60 tff(13680,plain,
% 83.02/52.60 (~v122(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13679, 1257, 13673])).
% 83.02/52.60 tff(13681,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13682,plain,
% 83.02/52.60 (((~v117(constB97)) | v116(constB97)) <=> (v116(constB97) | (~v117(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13683,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB97) | (~v117(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13682])).
% 83.02/52.60 tff(13684,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13683, 13681])).
% 83.02/52.60 tff(13685,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB97)) | v116(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13686,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB97) | (~v117(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 83.02/52.60 tff(13687,plain,
% 83.02/52.60 (~v117(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13686, 200, 13673])).
% 83.02/52.60 tff(13688,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB97) | (~v118(constB97)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13689,plain,
% 83.02/52.60 (((~v118(constB97)) | v117(constB97)) <=> (v117(constB97) | (~v118(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13690,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB97) | (~v118(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13689])).
% 83.02/52.60 tff(13691,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13690, 13688])).
% 83.02/52.60 tff(13692,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB97)) | v117(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13693,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB97) | (~v118(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13692, 13691])).
% 83.02/52.60 tff(13694,plain,
% 83.02/52.60 (~v118(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13693, 186, 13687])).
% 83.02/52.60 tff(13695,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13696,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB97)) | v118(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13697,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB97)) | v118(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 83.02/52.60 tff(13698,plain,
% 83.02/52.60 (~v120(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13697, 628, 13694])).
% 83.02/52.60 tff(13699,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB97)) | v115(constB97))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB97)) | v115(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13700,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB97)) | v115(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13701,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB97)) | v115(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13700, 13699])).
% 83.02/52.60 tff(13702,plain,
% 83.02/52.60 (~v123(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13701, 1486, 13666])).
% 83.02/52.60 tff(13703,assumption,(~v90(constB98, 1)), introduced(assumption)).
% 83.02/52.60 tff(13704,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13705,plain,
% 83.02/52.60 (((~nextState(constB97, constB98)) | (~v90(constB97, 1)) | v100(constB98) | v90(constB98, 1)) <=> ((~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13706,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, 1)) | v100(constB98) | v90(constB98, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1)))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13705])).
% 83.02/52.60 tff(13707,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, 1)) | v100(constB98) | v90(constB98, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13706, 13704])).
% 83.02/52.60 tff(13708,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB97, constB98)) | (~v90(constB97, 1)) | v100(constB98) | v90(constB98, 1))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13709,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB97, 1)) | (~nextState(constB97, constB98)) | v100(constB98) | v90(constB98, 1)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13708, 13707])).
% 83.02/52.60 tff(13710,plain,
% 83.02/52.60 ((~v90(constB97, 1)) | v100(constB98) | v90(constB98, 1)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13709, 866, 13593])).
% 83.02/52.60 tff(13711,plain,
% 83.02/52.60 (~v90(constB97, 1)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13710, 13599, 13703])).
% 83.02/52.60 tff(13712,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB97) | (~v119(constB97)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB97) | (~v119(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13713,plain,
% 83.02/52.60 (((~v119(constB97)) | v118(constB97)) <=> (v118(constB97) | (~v119(constB97)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13714,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB97)) | v118(constB97))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB97) | (~v119(constB97))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13713])).
% 83.02/52.60 tff(13715,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB97)) | v118(constB97))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB97) | (~v119(constB97)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13714, 13712])).
% 83.02/52.60 tff(13716,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB97)) | v118(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13717,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB97) | (~v119(constB97))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13716, 13715])).
% 83.02/52.60 tff(13718,plain,
% 83.02/52.60 (~v119(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13717, 175, 13694])).
% 83.02/52.60 tff(13719,assumption,(~v119(constB97)), introduced(assumption)).
% 83.02/52.60 tff(13720,assumption,(~v90(constB97, 0)), introduced(assumption)).
% 83.02/52.60 tff(13721,assumption,(~v123(constB97)), introduced(assumption)).
% 83.02/52.60 tff(13722,assumption,(~v90(constB97, 1)), introduced(assumption)).
% 83.02/52.60 tff(13723,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB97, 0) | v90(constB97, 1) | (~v90(constB97, 2)) | v123(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB97, 0) | v90(constB97, 1) | (~v90(constB97, 2)) | v123(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13724,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB97, 0) | v90(constB97, 1) | (~v90(constB97, 2)) | v123(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13725,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB97, 0) | v90(constB97, 1) | (~v90(constB97, 2)) | v123(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 83.02/52.60 tff(13726,plain,
% 83.02/52.60 (v90(constB97, 0) | (~v90(constB97, 2)) | v123(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13725, 1475, 13722])).
% 83.02/52.60 tff(13727,plain,
% 83.02/52.60 (~v90(constB97, 2)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13726, 13720, 13721])).
% 83.02/52.60 tff(13728,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13729,plain,
% 83.02/52.60 ((v90(constB97, 0) | v119(constB97) | v90(constB97, 1) | v90(constB97, 2)) <=> (v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13730,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB97, 0) | v119(constB97) | v90(constB97, 1) | v90(constB97, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97)))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13729])).
% 83.02/52.60 tff(13731,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB97, 0) | v119(constB97) | v90(constB97, 1) | v90(constB97, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13730, 13728])).
% 83.02/52.60 tff(13732,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB97, 0) | v119(constB97) | v90(constB97, 1) | v90(constB97, 2))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13733,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB97, 0) | v90(constB97, 1) | v90(constB97, 2) | v119(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 83.02/52.60 tff(13734,plain,
% 83.02/52.60 (v90(constB97, 0) | v90(constB97, 2) | v119(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13733, 161, 13722])).
% 83.02/52.60 tff(13735,plain,
% 83.02/52.60 ($false),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13734, 13727, 13720, 13719])).
% 83.02/52.60 tff(13736,plain,(v90(constB97, 0) | v119(constB97) | v90(constB97, 1) | v123(constB97)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.60 tff(13737,plain,
% 83.02/52.60 (v90(constB97, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13736, 13718, 13711, 13702])).
% 83.02/52.60 tff(13738,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB97)) | v114(constB97))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB97)) | v114(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13739,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB97)) | v114(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13740,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB97)) | v114(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13739, 13738])).
% 83.02/52.60 tff(13741,plain,
% 83.02/52.60 (~v124(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13740, 1741, 13659])).
% 83.02/52.60 tff(13742,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB97, 0)) | v90(constB97, 1) | (~v90(constB97, 2)) | v124(constB97))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB97, 0)) | v90(constB97, 1) | (~v90(constB97, 2)) | v124(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13743,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB97, 0)) | v90(constB97, 1) | (~v90(constB97, 2)) | v124(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13744,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB97, 0)) | v90(constB97, 1) | (~v90(constB97, 2)) | v124(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13743, 13742])).
% 83.02/52.60 tff(13745,plain,
% 83.02/52.60 ((~v90(constB97, 0)) | (~v90(constB97, 2)) | v124(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13744, 1705, 13711])).
% 83.02/52.60 tff(13746,plain,
% 83.02/52.60 (~v90(constB97, 2)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13745, 13737, 13741])).
% 83.02/52.60 tff(13747,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB97, 0)) | v90(constB97, 1) | v90(constB97, 2) | v120(constB97))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB97, 0)) | v90(constB97, 1) | v90(constB97, 2) | v120(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13748,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB97, 0)) | v90(constB97, 1) | v90(constB97, 2) | v120(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13749,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB97, 0)) | v90(constB97, 1) | v90(constB97, 2) | v120(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13748, 13747])).
% 83.02/52.60 tff(13750,plain,
% 83.02/52.60 ((~v90(constB97, 0)) | v90(constB97, 2) | v120(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13749, 614, 13711])).
% 83.02/52.60 tff(13751,plain,
% 83.02/52.60 ($false),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13750, 13746, 13737, 13698])).
% 83.02/52.60 tff(13752,plain,(v100(constB98) | v90(constB98, 1)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.60 tff(13753,plain,
% 83.02/52.60 (v90(constB98, 1)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13752, 13599])).
% 83.02/52.60 tff(13754,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13755,plain,
% 83.02/52.60 (((~nextState(constB97, constB98)) | v90(constB97, 1) | v100(constB98) | (~v90(constB98, 1))) <=> (v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13756,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v90(constB97, 1) | v100(constB98) | (~v90(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13755])).
% 83.02/52.60 tff(13757,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v90(constB97, 1) | v100(constB98) | (~v90(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13756, 13754])).
% 83.02/52.60 tff(13758,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v90(constB97, 1) | v100(constB98) | (~v90(constB98, 1)))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13759,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB97, 1) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 1))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 83.02/52.60 tff(13760,plain,
% 83.02/52.60 (v90(constB97, 1) | v100(constB98) | (~v90(constB98, 1))),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13759, 119, 13593])).
% 83.02/52.60 tff(13761,plain,
% 83.02/52.60 (v90(constB97, 1)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13760, 13599, 13753])).
% 83.02/52.60 tff(13762,plain,
% 83.02/52.60 (~v120(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13573, 2039, 13761])).
% 83.02/52.60 tff(13763,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB97)) | v117(constB97))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB97)) | v117(constB97))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13764,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB97)) | v117(constB97))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13765,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB97)) | v117(constB97)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13764, 13763])).
% 83.02/52.60 tff(13766,plain,
% 83.02/52.60 (~v121(constB97)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13765, 967, 13687])).
% 83.02/52.60 tff(13767,assumption,(~v90(constB97, 2)), introduced(assumption)).
% 83.02/52.60 tff(13768,assumption,(~v120(constB97)), introduced(assumption)).
% 83.02/52.60 tff(13769,assumption,(~v130(constB95, 1)), introduced(assumption)).
% 83.02/52.60 tff(13770,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB95)) | v130(constB95, 1))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13771,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB95)) | v130(constB95, 1))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13772,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB95)) | v130(constB95, 1)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 83.02/52.60 tff(13773,plain,
% 83.02/52.60 (~v121(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13772, 1108, 13769])).
% 83.02/52.60 tff(13774,assumption,(~v26(constB95)), introduced(assumption)).
% 83.02/52.60 tff(13775,assumption,(v130(constB95, 0)), introduced(assumption)).
% 83.02/52.60 tff(13776,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB95) | (~v130(constB95, 0)) | v127(constB95, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB95) | (~v130(constB95, 0)) | v127(constB95, 0))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13777,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB95) | (~v130(constB95, 0)) | v127(constB95, 0))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13778,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB95) | (~v130(constB95, 0)) | v127(constB95, 0)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 83.02/52.60 tff(13779,plain,
% 83.02/52.60 (v26(constB95) | v127(constB95, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13778, 478, 13775])).
% 83.02/52.60 tff(13780,plain,
% 83.02/52.60 (v127(constB95, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13779, 13774])).
% 83.02/52.60 tff(13781,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 0)) | v129(constB96, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB95, constB96)) | (~v127(constB95, 0)) | v129(constB96, 0))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13782,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 0)) | v129(constB96, 0))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13783,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB95, constB96)) | (~v127(constB95, 0)) | v129(constB96, 0)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13782, 13781])).
% 83.02/52.60 tff(13784,plain,
% 83.02/52.60 ((~v127(constB95, 0)) | v129(constB96, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13783, 493, 13436])).
% 83.02/52.60 tff(13785,plain,
% 83.02/52.60 (v129(constB96, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13784, 13780])).
% 83.02/52.60 tff(13786,plain,
% 83.02/52.60 (~v90(constB96, 2)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13518, 13767])).
% 83.02/52.60 tff(13787,assumption,(~v100(constB96)), introduced(assumption)).
% 83.02/52.60 tff(13788,plain,
% 83.02/52.60 (~v110(constB96)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13469, 13787])).
% 83.02/52.60 tff(13789,plain,
% 83.02/52.60 (~v108(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13443, 13788])).
% 83.02/52.60 tff(13790,plain,
% 83.02/52.60 (~v112(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13432, 268, 13789])).
% 83.02/52.60 tff(13791,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v26(constB95)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13792,plain,
% 83.02/52.60 (((~v26(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v26(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13793,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v26(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13792])).
% 83.02/52.60 tff(13794,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13793, 13791])).
% 83.02/52.60 tff(13795,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB95)) | v108(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13796,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v26(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 83.02/52.60 tff(13797,plain,
% 83.02/52.60 (~v26(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13796, 685, 13789])).
% 83.02/52.60 tff(13798,plain,
% 83.02/52.60 (~v113(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13424, 256, 13797, 13790])).
% 83.02/52.60 tff(13799,plain,
% 83.02/52.60 (~v114(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13413, 242, 13798])).
% 83.02/52.60 tff(13800,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB95) | (~v115(constB95)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v115(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13801,plain,
% 83.02/52.60 (((~v115(constB95)) | v114(constB95)) <=> (v114(constB95) | (~v115(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13802,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB95) | (~v115(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13801])).
% 83.02/52.60 tff(13803,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v115(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13802, 13800])).
% 83.02/52.60 tff(13804,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB95)) | v114(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13805,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB95) | (~v115(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 83.02/52.60 tff(13806,plain,
% 83.02/52.60 (~v115(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13805, 228, 13799])).
% 83.02/52.60 tff(13807,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB95) | (~v116(constB95)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13808,plain,
% 83.02/52.60 (((~v116(constB95)) | v115(constB95)) <=> (v115(constB95) | (~v116(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13809,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB95) | (~v116(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13808])).
% 83.02/52.60 tff(13810,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13809, 13807])).
% 83.02/52.60 tff(13811,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB95)) | v115(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13812,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB95) | (~v116(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13811, 13810])).
% 83.02/52.60 tff(13813,plain,
% 83.02/52.60 (~v116(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13812, 214, 13806])).
% 83.02/52.60 tff(13814,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB95) | (~v117(constB95)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v117(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13815,plain,
% 83.02/52.60 (((~v117(constB95)) | v116(constB95)) <=> (v116(constB95) | (~v117(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13816,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB95) | (~v117(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13815])).
% 83.02/52.60 tff(13817,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v117(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13816, 13814])).
% 83.02/52.60 tff(13818,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB95)) | v116(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13819,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v117(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 83.02/52.60 tff(13820,plain,
% 83.02/52.60 (~v117(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13819, 200, 13813])).
% 83.02/52.60 tff(13821,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v121(constB95)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v121(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13822,plain,
% 83.02/52.60 (((~v121(constB95)) | v117(constB95)) <=> (v117(constB95) | (~v121(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13823,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v121(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13822])).
% 83.02/52.60 tff(13824,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v121(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13823, 13821])).
% 83.02/52.60 tff(13825,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB95)) | v117(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13826,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v121(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 83.02/52.60 tff(13827,plain,
% 83.02/52.60 (~v121(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13826, 967, 13820])).
% 83.02/52.60 tff(13828,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v118(constB95)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13829,plain,
% 83.02/52.60 (((~v118(constB95)) | v117(constB95)) <=> (v117(constB95) | (~v118(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13830,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB95) | (~v118(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13829])).
% 83.02/52.60 tff(13831,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13830, 13828])).
% 83.02/52.60 tff(13832,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB95)) | v117(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13833,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB95) | (~v118(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13832, 13831])).
% 83.02/52.60 tff(13834,plain,
% 83.02/52.60 (~v118(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13833, 186, 13820])).
% 83.02/52.60 tff(13835,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB95) | (~v120(constB95)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v120(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13836,plain,
% 83.02/52.60 (((~v120(constB95)) | v118(constB95)) <=> (v118(constB95) | (~v120(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13837,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB95)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB95) | (~v120(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13836])).
% 83.02/52.60 tff(13838,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB95)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v120(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13837, 13835])).
% 83.02/52.60 tff(13839,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB95)) | v118(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13840,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v120(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 83.02/52.60 tff(13841,plain,
% 83.02/52.60 (~v120(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13840, 628, 13834])).
% 83.02/52.60 tff(13842,assumption,(~v90(constB96, 2)), introduced(assumption)).
% 83.02/52.60 tff(13843,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13844,plain,
% 83.02/52.60 (((~nextState(constB95, constB96)) | (~v90(constB95, 2)) | v100(constB96) | v90(constB96, 2)) <=> ((~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13845,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, 2)) | v100(constB96) | v90(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2)))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13844])).
% 83.02/52.60 tff(13846,plain,
% 83.02/52.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, 2)) | v100(constB96) | v90(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13845, 13843])).
% 83.02/52.60 tff(13847,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v90(constB95, 2)) | v100(constB96) | v90(constB96, 2))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13848,plain,
% 83.02/52.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB95, 2)) | (~nextState(constB95, constB96)) | v100(constB96) | v90(constB96, 2)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13847, 13846])).
% 83.02/52.60 tff(13849,plain,
% 83.02/52.60 ((~v90(constB95, 2)) | v100(constB96) | v90(constB96, 2)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13848, 1374, 13436])).
% 83.02/52.60 tff(13850,plain,
% 83.02/52.60 (~v90(constB95, 2)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13849, 13787, 13842])).
% 83.02/52.60 tff(13851,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB95) | (~v119(constB95)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v119(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13852,plain,
% 83.02/52.60 (((~v119(constB95)) | v118(constB95)) <=> (v118(constB95) | (~v119(constB95)))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13853,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB95)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB95) | (~v119(constB95))))),
% 83.02/52.60 inference(monotonicity,[status(thm)],[13852])).
% 83.02/52.60 tff(13854,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB95)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v119(constB95)))),
% 83.02/52.60 inference(transitivity,[status(thm)],[13853, 13851])).
% 83.02/52.60 tff(13855,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB95)) | v118(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13856,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB95) | (~v119(constB95))),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 83.02/52.60 tff(13857,plain,
% 83.02/52.60 (~v119(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13856, 175, 13834])).
% 83.02/52.60 tff(13858,assumption,(~v119(constB95)), introduced(assumption)).
% 83.02/52.60 tff(13859,assumption,(~v120(constB95)), introduced(assumption)).
% 83.02/52.60 tff(13860,assumption,(~v90(constB95, 2)), introduced(assumption)).
% 83.02/52.60 tff(13861,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))),
% 83.02/52.60 inference(rewrite,[status(thm)],[])).
% 83.02/52.60 tff(13862,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95))),
% 83.02/52.60 inference(quant_inst,[status(thm)],[])).
% 83.02/52.60 tff(13863,plain,
% 83.02/52.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | v90(constB95, 2) | v120(constB95)),
% 83.02/52.60 inference(modus_ponens,[status(thm)],[13862, 13861])).
% 83.02/52.60 tff(13864,plain,
% 83.02/52.60 ((~v90(constB95, 0)) | v90(constB95, 1) | v120(constB95)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13863, 614, 13860])).
% 83.02/52.60 tff(13865,plain,
% 83.02/52.60 (~v90(constB95, 0)),
% 83.02/52.60 inference(unit_resolution,[status(thm)],[13864, 13389, 13859])).
% 83.02/52.60 tff(13866,plain,
% 83.02/52.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13867,plain,
% 83.02/52.61 ((v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2)) <=> (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13868,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95)))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13867])).
% 83.02/52.61 tff(13869,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13868, 13866])).
% 83.02/52.61 tff(13870,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB95, 0) | v119(constB95) | v90(constB95, 1) | v90(constB95, 2))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13871,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB95, 0) | v90(constB95, 1) | v90(constB95, 2) | v119(constB95)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13870, 13869])).
% 83.02/52.61 tff(13872,plain,
% 83.02/52.61 (v90(constB95, 0) | v90(constB95, 1) | v119(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13871, 161, 13860])).
% 83.02/52.61 tff(13873,plain,
% 83.02/52.61 ($false),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13872, 13865, 13389, 13858])).
% 83.02/52.61 tff(13874,plain,(v90(constB95, 1) | v119(constB95) | v90(constB95, 2) | v120(constB95)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.61 tff(13875,plain,
% 83.02/52.61 (v90(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13874, 13857, 13850, 13841])).
% 83.02/52.61 tff(13876,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB95) | (~v122(constB95)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v122(constB95)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13877,plain,
% 83.02/52.61 (((~v122(constB95)) | v116(constB95)) <=> (v116(constB95) | (~v122(constB95)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13878,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB95) | (~v122(constB95))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13877])).
% 83.02/52.61 tff(13879,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB95)) | v116(constB95))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v122(constB95)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13878, 13876])).
% 83.02/52.61 tff(13880,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB95)) | v116(constB95))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13881,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB95) | (~v122(constB95))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 83.02/52.61 tff(13882,plain,
% 83.02/52.61 (~v122(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13881, 1257, 13813])).
% 83.02/52.61 tff(13883,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13884,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13885,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB95, 0)) | (~v90(constB95, 1)) | v90(constB95, 2) | v122(constB95)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 83.02/52.61 tff(13886,plain,
% 83.02/52.61 ((~v90(constB95, 0)) | (~v90(constB95, 1)) | v122(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13885, 1187, 13850])).
% 83.02/52.61 tff(13887,plain,
% 83.02/52.61 (~v90(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13886, 13875, 13882])).
% 83.02/52.61 tff(13888,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13889,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13890,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB95, 0) | (~v90(constB95, 1)) | v90(constB95, 2) | v121(constB95)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 83.02/52.61 tff(13891,plain,
% 83.02/52.61 (v90(constB95, 0) | (~v90(constB95, 1)) | v121(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13890, 956, 13850])).
% 83.02/52.61 tff(13892,plain,
% 83.02/52.61 ($false),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13891, 13887, 13875, 13827])).
% 83.02/52.61 tff(13893,plain,(v100(constB96) | v90(constB96, 2)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.61 tff(13894,plain,
% 83.02/52.61 (v100(constB96)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13893, 13786])).
% 83.02/52.61 tff(13895,plain,
% 83.02/52.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13896,plain,
% 83.02/52.61 ((v90(constB96, 0) | (~v100(constB96)) | (~v129(constB96, 0))) <=> (v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13897,plain,
% 83.02/52.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB96, 0) | (~v100(constB96)) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13896])).
% 83.02/52.61 tff(13898,plain,
% 83.02/52.61 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB96, 0) | (~v100(constB96)) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13897, 13895])).
% 83.02/52.61 tff(13899,plain,
% 83.02/52.61 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB96, 0) | (~v100(constB96)) | (~v129(constB96, 0)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13900,plain,
% 83.02/52.61 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB96, 0) | (~v129(constB96, 0)) | (~v100(constB96))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13899, 13898])).
% 83.02/52.61 tff(13901,plain,
% 83.02/52.61 (v90(constB96, 0) | (~v129(constB96, 0))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13900, 508, 13894])).
% 83.02/52.61 tff(13902,plain,
% 83.02/52.61 (v90(constB96, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13901, 13785])).
% 83.02/52.61 tff(13903,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13904,plain,
% 83.02/52.61 (((~nextState(constB96, constB97)) | (~v90(constB96, 0)) | v100(constB97) | v90(constB97, 0)) <=> ((~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13905,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 0)) | v100(constB97) | v90(constB97, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0)))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13904])).
% 83.02/52.61 tff(13906,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 0)) | v100(constB97) | v90(constB97, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13905, 13903])).
% 83.02/52.61 tff(13907,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 0)) | v100(constB97) | v90(constB97, 0))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13908,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB96, 0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 0)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 83.02/52.61 tff(13909,plain,
% 83.02/52.61 ((~v90(constB96, 0)) | v100(constB97) | v90(constB97, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13908, 526, 13498])).
% 83.02/52.61 tff(13910,plain,
% 83.02/52.61 ((~v90(constB96, 0)) | v90(constB97, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13909, 13510])).
% 83.02/52.61 tff(13911,plain,
% 83.02/52.61 (v90(constB97, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13910, 13902])).
% 83.02/52.61 tff(13912,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13913,plain,
% 83.02/52.61 ((v26(constB95) | v130(constB95, 1) | (~v127(constB95, 1))) <=> ((~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13914,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB95) | v130(constB95, 1) | (~v127(constB95, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1)))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13913])).
% 83.02/52.61 tff(13915,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB95) | v130(constB95, 1) | (~v127(constB95, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13914, 13912])).
% 83.02/52.61 tff(13916,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB95) | v130(constB95, 1) | (~v127(constB95, 1)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13917,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB95, 1)) | v26(constB95) | v130(constB95, 1)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 83.02/52.61 tff(13918,plain,
% 83.02/52.61 ((~v127(constB95, 1)) | v26(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13917, 383, 13769])).
% 83.02/52.61 tff(13919,plain,
% 83.02/52.61 (~v127(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13918, 13774])).
% 83.02/52.61 tff(13920,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB95, constB96)) | v127(constB95, 1) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB95, constB96)) | v127(constB95, 1) | (~v129(constB96, 1)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13921,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB95, constB96)) | v127(constB95, 1) | (~v129(constB96, 1)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13922,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB95, constB96)) | v127(constB95, 1) | (~v129(constB96, 1))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13921, 13920])).
% 83.02/52.61 tff(13923,plain,
% 83.02/52.61 (v127(constB95, 1) | (~v129(constB96, 1))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13922, 401, 13436])).
% 83.02/52.61 tff(13924,plain,
% 83.02/52.61 (~v129(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13923, 13919])).
% 83.02/52.61 tff(13925,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13926,plain,
% 83.02/52.61 (((~v90(constB96, 1)) | (~v100(constB96)) | v129(constB96, 1)) <=> ((~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13927,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB96, 1)) | (~v100(constB96)) | v129(constB96, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13926])).
% 83.02/52.61 tff(13928,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB96, 1)) | (~v100(constB96)) | v129(constB96, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13927, 13925])).
% 83.02/52.61 tff(13929,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB96, 1)) | (~v100(constB96)) | v129(constB96, 1))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13930,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB96, 1)) | v129(constB96, 1) | (~v100(constB96))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 83.02/52.61 tff(13931,plain,
% 83.02/52.61 ((~v90(constB96, 1)) | v129(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13930, 416, 13894])).
% 83.02/52.61 tff(13932,plain,
% 83.02/52.61 (~v90(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13931, 13924])).
% 83.02/52.61 tff(13933,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13934,plain,
% 83.02/52.61 (((~nextState(constB96, constB97)) | v90(constB96, 1) | v100(constB97) | (~v90(constB97, 1))) <=> (v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13935,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB96, constB97)) | v90(constB96, 1) | v100(constB97) | (~v90(constB97, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13934])).
% 83.02/52.61 tff(13936,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB96, constB97)) | v90(constB96, 1) | v100(constB97) | (~v90(constB97, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13935, 13933])).
% 83.02/52.61 tff(13937,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB96, constB97)) | v90(constB96, 1) | v100(constB97) | (~v90(constB97, 1)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13938,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB96, 1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 1))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13937, 13936])).
% 83.02/52.61 tff(13939,plain,
% 83.02/52.61 (v90(constB96, 1) | v100(constB97) | (~v90(constB97, 1))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13938, 119, 13498])).
% 83.02/52.61 tff(13940,plain,
% 83.02/52.61 (v90(constB96, 1) | (~v90(constB97, 1))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13939, 13510])).
% 83.02/52.61 tff(13941,plain,
% 83.02/52.61 (~v90(constB97, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13940, 13932])).
% 83.02/52.61 tff(13942,plain,
% 83.02/52.61 ((~v90(constB97, 0)) | v90(constB97, 1) | v90(constB97, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13749, 614, 13768])).
% 83.02/52.61 tff(13943,plain,
% 83.02/52.61 ($false),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13942, 13941, 13911, 13767])).
% 83.02/52.61 tff(13944,plain,(v26(constB95) | v90(constB97, 2) | v120(constB97) | v130(constB95, 1) | (~v130(constB95, 0))), inference(lemma,lemma(discharge,[]))).
% 83.02/52.61 tff(13945,plain,
% 83.02/52.61 (v90(constB97, 2) | v120(constB97) | v130(constB95, 1) | (~v130(constB95, 0))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13944, 13418])).
% 83.02/52.61 tff(13946,plain,
% 83.02/52.61 (~v130(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13945, 13769, 13767, 13768])).
% 83.02/52.61 tff(13947,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB95)) | v130(constB95, 1))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13948,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB95)) | v130(constB95, 1))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13949,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB95)) | v130(constB95, 1)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13948, 13947])).
% 83.02/52.61 tff(13950,plain,
% 83.02/52.61 (~v120(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13949, 804, 13769])).
% 83.02/52.61 tff(13951,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB95)) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB95)) | v130(constB95, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13952,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB95)) | v130(constB95, 0))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13953,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB95)) | v130(constB95, 0)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13952, 13951])).
% 83.02/52.61 tff(13954,plain,
% 83.02/52.61 (~v119(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13953, 464, 13946])).
% 83.02/52.61 tff(13955,plain,
% 83.02/52.61 (~v129(constB96, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13490, 1338, 13894, 13786])).
% 83.02/52.61 tff(13956,plain,
% 83.02/52.61 (~v127(constB95, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13483, 13955])).
% 83.02/52.61 tff(13957,plain,
% 83.02/52.61 (~v130(constB95, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13478, 13956])).
% 83.02/52.61 tff(13958,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB95)) | v130(constB95, 2))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13959,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB95)) | v130(constB95, 2))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13960,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB95)) | v130(constB95, 2)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 83.02/52.61 tff(13961,plain,
% 83.02/52.61 (~v122(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13960, 1198, 13957])).
% 83.02/52.61 tff(13962,plain,
% 83.02/52.61 (~v124(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13473, 1716, 13957])).
% 83.02/52.61 tff(13963,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB95)) | v130(constB95, 2))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13964,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB95)) | v130(constB95, 2))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13965,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB95)) | v130(constB95, 2)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13964, 13963])).
% 83.02/52.61 tff(13966,plain,
% 83.02/52.61 (~v123(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13965, 1567, 13957])).
% 83.02/52.61 tff(13967,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13968,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, 0))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13969,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, 0)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 83.02/52.61 tff(13970,plain,
% 83.02/52.61 (v119(constB95) | v120(constB95) | v121(constB95) | v130(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13969, 2180, 13966, 13962, 13961])).
% 83.02/52.61 tff(13971,plain,
% 83.02/52.61 ($false),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13970, 13954, 13950, 13946, 13773])).
% 83.02/52.61 tff(13972,plain,(v130(constB95, 1) | v90(constB97, 2) | v120(constB97)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.61 tff(13973,plain,
% 83.02/52.61 (v130(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13972, 13767, 13768])).
% 83.02/52.61 tff(13974,plain,
% 83.02/52.61 (v127(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13531, 13973])).
% 83.02/52.61 tff(13975,plain,
% 83.02/52.61 (v129(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13536, 13974])).
% 83.02/52.61 tff(13976,plain,
% 83.02/52.61 (v90(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13543, 848, 13894, 13975])).
% 83.02/52.61 tff(13977,plain,
% 83.02/52.61 (v90(constB97, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13553, 13976])).
% 83.02/52.61 tff(13978,assumption,(~v121(constB97)), introduced(assumption)).
% 83.02/52.61 tff(13979,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | v90(constB97, 2) | v121(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | v90(constB97, 2) | v121(constB97))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13980,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | v90(constB97, 2) | v121(constB97))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13981,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | v90(constB97, 2) | v121(constB97)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 83.02/52.61 tff(13982,plain,
% 83.02/52.61 (v90(constB97, 0) | (~v90(constB97, 1)) | v90(constB97, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13981, 956, 13978])).
% 83.02/52.61 tff(13983,plain,
% 83.02/52.61 (v90(constB97, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13982, 13977, 13767])).
% 83.02/52.61 tff(13984,assumption,(~v122(constB97)), introduced(assumption)).
% 83.02/52.61 tff(13985,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB97, 0)) | (~v90(constB97, 1)) | v90(constB97, 2) | v122(constB97))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB97, 0)) | (~v90(constB97, 1)) | v90(constB97, 2) | v122(constB97))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13986,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB97, 0)) | (~v90(constB97, 1)) | v90(constB97, 2) | v122(constB97))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13987,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB97, 0)) | (~v90(constB97, 1)) | v90(constB97, 2) | v122(constB97)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 83.02/52.61 tff(13988,plain,
% 83.02/52.61 ((~v90(constB97, 0)) | (~v90(constB97, 1)) | v90(constB97, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13987, 1187, 13984])).
% 83.02/52.61 tff(13989,plain,
% 83.02/52.61 ($false),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13988, 13983, 13977, 13767])).
% 83.02/52.61 tff(13990,plain,(v90(constB97, 2) | v122(constB97) | v121(constB97) | v120(constB97)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.61 tff(13991,plain,
% 83.02/52.61 (v90(constB97, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13990, 13766, 13762, 13680])).
% 83.02/52.61 tff(13992,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13993,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(13994,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 83.02/52.61 tff(13995,plain,
% 83.02/52.61 (v90(constB97, 0) | (~v90(constB97, 2)) | v125(constB97)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13994, 1934, 13761])).
% 83.02/52.61 tff(13996,plain,
% 83.02/52.61 (v90(constB97, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13995, 13991, 13652])).
% 83.02/52.61 tff(13997,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13998,plain,
% 83.02/52.61 (((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))) <=> (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(13999,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[13998])).
% 83.02/52.61 tff(14000,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[13999, 13997])).
% 83.02/52.61 tff(14001,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14002,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 83.02/52.61 tff(14003,plain,
% 83.02/52.61 (v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14002, 140, 13498])).
% 83.02/52.61 tff(14004,plain,
% 83.02/52.61 (v90(constB96, 0) | (~v90(constB97, 0))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14003, 13510])).
% 83.02/52.61 tff(14005,plain,
% 83.02/52.61 (v90(constB96, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14004, 13996])).
% 83.02/52.61 tff(14006,plain,
% 83.02/52.61 (v90(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13940, 13761])).
% 83.02/52.61 tff(14007,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14008,plain,
% 83.02/52.61 (((~nextState(constB96, constB97)) | v90(constB96, 2) | v100(constB97) | (~v90(constB97, 2))) <=> (v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14009,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB96, constB97)) | v90(constB96, 2) | v100(constB97) | (~v90(constB97, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[14008])).
% 83.02/52.61 tff(14010,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB96, constB97)) | v90(constB96, 2) | v100(constB97) | (~v90(constB97, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[14009, 14007])).
% 83.02/52.61 tff(14011,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB96, constB97)) | v90(constB96, 2) | v100(constB97) | (~v90(constB97, 2)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14012,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB96, 2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 2))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 83.02/52.61 tff(14013,plain,
% 83.02/52.61 (v90(constB96, 2) | v100(constB97) | (~v90(constB97, 2))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14012, 98, 13498])).
% 83.02/52.61 tff(14014,plain,
% 83.02/52.61 (v90(constB96, 2) | (~v90(constB97, 2))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14013, 13510])).
% 83.02/52.61 tff(14015,plain,
% 83.02/52.61 (v90(constB96, 2)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14014, 13991])).
% 83.02/52.61 tff(14016,assumption,(v100(constB96)), introduced(assumption)).
% 83.02/52.61 tff(14017,assumption,(v90(constB96, 1)), introduced(assumption)).
% 83.02/52.61 tff(14018,plain,
% 83.02/52.61 (v129(constB96, 1) | (~v100(constB96))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13930, 416, 14017])).
% 83.02/52.61 tff(14019,plain,
% 83.02/52.61 (v129(constB96, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14018, 14016])).
% 83.02/52.61 tff(14020,plain,
% 83.02/52.61 (v127(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13923, 14019])).
% 83.02/52.61 tff(14021,plain,
% 83.02/52.61 ((~v127(constB95, 1)) | v130(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[13917, 383, 13418])).
% 83.02/52.61 tff(14022,plain,
% 83.02/52.61 (v130(constB95, 1)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14021, 14020])).
% 83.02/52.61 tff(14023,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB95)) | (~v130(constB95, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14024,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14025,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB95)) | (~v130(constB95, 1))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 83.02/52.61 tff(14026,plain,
% 83.02/52.61 (~v122(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14025, 1390, 14022])).
% 83.02/52.61 tff(14027,assumption,(v90(constB96, 0)), introduced(assumption)).
% 83.02/52.61 tff(14028,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14029,plain,
% 83.02/52.61 (((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0)) <=> ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14030,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[14029])).
% 83.02/52.61 tff(14031,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 83.02/52.61 inference(transitivity,[status(thm)],[14030, 14028])).
% 83.02/52.61 tff(14032,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14033,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 83.02/52.61 tff(14034,plain,
% 83.02/52.61 (v129(constB96, 0) | (~v100(constB96))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14033, 929, 14027])).
% 83.02/52.61 tff(14035,plain,
% 83.02/52.61 (v129(constB96, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14034, 14016])).
% 83.02/52.61 tff(14036,plain,
% 83.02/52.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14037,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14038,plain,
% 83.02/52.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 83.02/52.61 tff(14039,plain,
% 83.02/52.61 (v127(constB95, 0) | (~v129(constB96, 0))),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14038, 914, 13436])).
% 83.02/52.61 tff(14040,plain,
% 83.02/52.61 (v127(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14039, 14035])).
% 83.02/52.61 tff(14041,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14042,plain,
% 83.02/52.61 ((v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0))) <=> ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14043,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)))),
% 83.02/52.61 inference(monotonicity,[status(thm)],[14042])).
% 83.02/52.61 tff(14044,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 83.02/52.61 inference(transitivity,[status(thm)],[14043, 14041])).
% 83.02/52.61 tff(14045,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14046,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 83.02/52.61 tff(14047,plain,
% 83.02/52.61 ((~v127(constB95, 0)) | v130(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14046, 896, 13418])).
% 83.02/52.61 tff(14048,plain,
% 83.02/52.61 (v130(constB95, 0)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14047, 14040])).
% 83.02/52.61 tff(14049,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14050,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14051,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 83.02/52.61 tff(14052,plain,
% 83.02/52.61 (~v124(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14051, 1882, 14048])).
% 83.02/52.61 tff(14053,plain,
% 83.02/52.61 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB95)) | (~v130(constB95, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14054,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14055,plain,
% 83.02/52.61 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB95)) | (~v130(constB95, 1))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 83.02/52.61 tff(14056,plain,
% 83.02/52.61 (~v123(constB95)),
% 83.02/52.61 inference(unit_resolution,[status(thm)],[14055, 1623, 14022])).
% 83.02/52.61 tff(14057,assumption,(v90(constB96, 2)), introduced(assumption)).
% 83.02/52.61 tff(14058,plain,
% 83.02/52.61 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB96, 2)) | v129(constB96, 2) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB96, 2)) | v129(constB96, 2) | (~v100(constB96)))),
% 83.02/52.61 inference(rewrite,[status(thm)],[])).
% 83.02/52.61 tff(14059,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB96, 2)) | v129(constB96, 2) | (~v100(constB96)))),
% 83.02/52.61 inference(quant_inst,[status(thm)],[])).
% 83.02/52.61 tff(14060,plain,
% 83.02/52.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB96, 2)) | v129(constB96, 2) | (~v100(constB96))),
% 83.02/52.61 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 83.02/52.62 tff(14061,plain,
% 83.02/52.62 (v129(constB96, 2) | (~v100(constB96))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14060, 589, 14057])).
% 83.02/52.62 tff(14062,plain,
% 83.02/52.62 (v129(constB96, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14061, 14016])).
% 83.02/52.62 tff(14063,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB95, constB96)) | v127(constB95, 2) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB95, constB96)) | v127(constB95, 2) | (~v129(constB96, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14064,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB95, constB96)) | v127(constB95, 2) | (~v129(constB96, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14065,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB95, constB96)) | v127(constB95, 2) | (~v129(constB96, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14064, 14063])).
% 83.02/52.62 tff(14066,plain,
% 83.02/52.62 (v127(constB95, 2) | (~v129(constB96, 2))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14065, 574, 13436])).
% 83.02/52.62 tff(14067,plain,
% 83.02/52.62 (v127(constB95, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14066, 14062])).
% 83.02/52.62 tff(14068,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14069,plain,
% 83.02/52.62 ((v26(constB95) | v130(constB95, 2) | (~v127(constB95, 2))) <=> ((~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14070,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB95) | v130(constB95, 2) | (~v127(constB95, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2)))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14069])).
% 83.02/52.62 tff(14071,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB95) | v130(constB95, 2) | (~v127(constB95, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14070, 14068])).
% 83.02/52.62 tff(14072,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB95) | v130(constB95, 2) | (~v127(constB95, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14073,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB95, 2)) | v26(constB95) | v130(constB95, 2)),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 83.02/52.62 tff(14074,plain,
% 83.02/52.62 ((~v127(constB95, 2)) | v130(constB95, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14073, 556, 13418])).
% 83.02/52.62 tff(14075,plain,
% 83.02/52.62 (v130(constB95, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14074, 14067])).
% 83.02/52.62 tff(14076,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB95)) | (~v130(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB95)) | (~v130(constB95, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14077,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB95)) | (~v130(constB95, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14078,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB95)) | (~v130(constB95, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14077, 14076])).
% 83.02/52.62 tff(14079,plain,
% 83.02/52.62 (~v120(constB95)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14078, 882, 14048])).
% 83.02/52.62 tff(14080,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB95)) | (~v130(constB95, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14081,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB95)) | (~v130(constB95, 1)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14082,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB95)) | (~v130(constB95, 1))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14081, 14080])).
% 83.02/52.62 tff(14083,plain,
% 83.02/52.62 (~v119(constB95)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14082, 369, 14022])).
% 83.02/52.62 tff(14084,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14085,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14086,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB95) | v120(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 83.02/52.62 tff(14087,plain,
% 83.02/52.62 (v121(constB95)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14086, 2075, 14083, 14079, 14075, 14056, 14052, 14026])).
% 83.02/52.62 tff(14088,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB95)) | (~v130(constB95, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB95)) | (~v130(constB95, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14089,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB95)) | (~v130(constB95, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14090,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB95)) | (~v130(constB95, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14089, 14088])).
% 83.02/52.62 tff(14091,plain,
% 83.02/52.62 ($false),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14090, 1052, 14075, 14087])).
% 83.02/52.62 tff(14092,plain,((~v100(constB96)) | (~v90(constB96, 2)) | (~v90(constB96, 0)) | (~v90(constB96, 1))), inference(lemma,lemma(discharge,[]))).
% 83.02/52.62 tff(14093,plain,
% 83.02/52.62 (~v100(constB96)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14092, 14005, 14015, 14006])).
% 83.02/52.62 tff(14094,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14095,plain,
% 83.02/52.62 (((~nextState(constB95, constB96)) | v90(constB95, 0) | v100(constB96) | (~v90(constB96, 0))) <=> (v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14096,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v90(constB95, 0) | v100(constB96) | (~v90(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14095])).
% 83.02/52.62 tff(14097,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v90(constB95, 0) | v100(constB96) | (~v90(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14096, 14094])).
% 83.02/52.62 tff(14098,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v90(constB95, 0) | v100(constB96) | (~v90(constB96, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14099,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB95, 0) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 83.02/52.62 tff(14100,plain,
% 83.02/52.62 (v90(constB95, 0) | v100(constB96) | (~v90(constB96, 0))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14099, 140, 13436])).
% 83.02/52.62 tff(14101,plain,
% 83.02/52.62 (v90(constB95, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14100, 14093, 14005])).
% 83.02/52.62 tff(14102,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14103,plain,
% 83.02/52.62 (((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0))) <=> (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14104,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14103])).
% 83.02/52.62 tff(14105,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14104, 14102])).
% 83.02/52.62 tff(14106,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB94, constB95)) | v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14107,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB94, 0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14106, 14105])).
% 83.02/52.62 tff(14108,plain,
% 83.02/52.62 (v90(constB94, 0) | v100(constB95) | (~v90(constB95, 0))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14107, 140, 13321])).
% 83.02/52.62 tff(14109,plain,
% 83.02/52.62 (v90(constB94, 0) | (~v90(constB95, 0))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14108, 13333])).
% 83.02/52.62 tff(14110,plain,
% 83.02/52.62 (v90(constB94, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14109, 14101])).
% 83.02/52.62 tff(14111,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14112,plain,
% 83.02/52.62 (((~nextState(constB95, constB96)) | v90(constB95, 2) | v100(constB96) | (~v90(constB96, 2))) <=> (v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14113,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB95, constB96)) | v90(constB95, 2) | v100(constB96) | (~v90(constB96, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14112])).
% 83.02/52.62 tff(14114,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB95, constB96)) | v90(constB95, 2) | v100(constB96) | (~v90(constB96, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14113, 14111])).
% 83.02/52.62 tff(14115,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB95, constB96)) | v90(constB95, 2) | v100(constB96) | (~v90(constB96, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14116,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB95, 2) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 83.02/52.62 tff(14117,plain,
% 83.02/52.62 (v90(constB95, 2) | v100(constB96) | (~v90(constB96, 2))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14116, 98, 13436])).
% 83.02/52.62 tff(14118,plain,
% 83.02/52.62 (v90(constB95, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14117, 14093, 14015])).
% 83.02/52.62 tff(14119,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14120,plain,
% 83.02/52.62 (((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2))) <=> (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14121,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14120])).
% 83.02/52.62 tff(14122,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14121, 14119])).
% 83.02/52.62 tff(14123,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB94, constB95)) | v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14124,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB94, 2) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 83.02/52.62 tff(14125,plain,
% 83.02/52.62 (v90(constB94, 2) | v100(constB95) | (~v90(constB95, 2))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14124, 98, 13321])).
% 83.02/52.62 tff(14126,plain,
% 83.02/52.62 (v90(constB94, 2) | (~v90(constB95, 2))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14125, 13333])).
% 83.02/52.62 tff(14127,plain,
% 83.02/52.62 (v90(constB94, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14126, 14118])).
% 83.02/52.62 tff(14128,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14129,plain,
% 83.02/52.62 (((~nextState(constB95, constB96)) | v90(constB95, 1) | v100(constB96) | (~v90(constB96, 1))) <=> (v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14130,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB95, constB96)) | v90(constB95, 1) | v100(constB96) | (~v90(constB96, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14129])).
% 83.02/52.62 tff(14131,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB95, constB96)) | v90(constB95, 1) | v100(constB96) | (~v90(constB96, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14130, 14128])).
% 83.02/52.62 tff(14132,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB95, constB96)) | v90(constB95, 1) | v100(constB96) | (~v90(constB96, 1)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14133,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB95, 1) | (~nextState(constB95, constB96)) | v100(constB96) | (~v90(constB96, 1))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 83.02/52.62 tff(14134,plain,
% 83.02/52.62 (v90(constB95, 1) | v100(constB96) | (~v90(constB96, 1))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14133, 119, 13436])).
% 83.02/52.62 tff(14135,plain,
% 83.02/52.62 (v90(constB95, 1)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14134, 14093, 14006])).
% 83.02/52.62 tff(14136,plain,
% 83.02/52.62 (v90(constB94, 1)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[13341, 14135])).
% 83.02/52.62 tff(14137,plain,
% 83.02/52.62 (v100(constB94)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[13303, 14136, 13011, 14127, 14110])).
% 83.02/52.62 tff(14138,plain,
% 83.02/52.62 (v129(constB94, 1) | (~v100(constB94))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[13313, 416, 14136])).
% 83.02/52.62 tff(14139,plain,
% 83.02/52.62 (v129(constB94, 1)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14138, 14137])).
% 83.02/52.62 tff(14140,plain,
% 83.02/52.62 (v127(constB93, 1)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[12738, 14139])).
% 83.02/52.62 tff(14141,plain,
% 83.02/52.62 (v130(constB93, 1)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[12730, 14140])).
% 83.02/52.62 tff(14142,plain,
% 83.02/52.62 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14143,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14144,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB94, 2)) | v129(constB94, 2) | (~v100(constB94))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 83.02/52.62 tff(14145,plain,
% 83.02/52.62 (v129(constB94, 2) | (~v100(constB94))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14144, 589, 14127])).
% 83.02/52.62 tff(14146,plain,
% 83.02/52.62 (v129(constB94, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14145, 14137])).
% 83.02/52.62 tff(14147,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14148,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14149,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB93, constB94)) | v127(constB93, 2) | (~v129(constB94, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 83.02/52.62 tff(14150,plain,
% 83.02/52.62 (v127(constB93, 2) | (~v129(constB94, 2))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14149, 574, 12734])).
% 83.02/52.62 tff(14151,plain,
% 83.02/52.62 (v127(constB93, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14150, 14146])).
% 83.02/52.62 tff(14152,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14153,plain,
% 83.02/52.62 ((v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2))) <=> ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14154,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2)))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14153])).
% 83.02/52.62 tff(14155,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14154, 14152])).
% 83.02/52.62 tff(14156,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB93) | v130(constB93, 2) | (~v127(constB93, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14157,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB93, 2)) | v26(constB93) | v130(constB93, 2)),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 83.02/52.62 tff(14158,plain,
% 83.02/52.62 ((~v127(constB93, 2)) | v130(constB93, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14157, 556, 12723])).
% 83.02/52.62 tff(14159,plain,
% 83.02/52.62 (v130(constB93, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14158, 14151])).
% 83.02/52.62 tff(14160,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB93)) | (~v130(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB93)) | (~v130(constB93, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14161,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB93)) | (~v130(constB93, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14162,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB93)) | (~v130(constB93, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 83.02/52.62 tff(14163,plain,
% 83.02/52.62 (~v119(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14162, 542, 14159])).
% 83.02/52.62 tff(14164,plain,
% 83.02/52.62 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14165,plain,
% 83.02/52.62 (((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0)) <=> ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14166,plain,
% 83.02/52.62 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14165])).
% 83.02/52.62 tff(14167,plain,
% 83.02/52.62 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14166, 14164])).
% 83.02/52.62 tff(14168,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB94, 0)) | (~v100(constB94)) | v129(constB94, 0))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14169,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB94, 0)) | v129(constB94, 0) | (~v100(constB94))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14168, 14167])).
% 83.02/52.62 tff(14170,plain,
% 83.02/52.62 (v129(constB94, 0) | (~v100(constB94))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14169, 929, 14110])).
% 83.02/52.62 tff(14171,plain,
% 83.02/52.62 (v129(constB94, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14170, 14137])).
% 83.02/52.62 tff(14172,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14173,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14174,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB93, constB94)) | v127(constB93, 0) | (~v129(constB94, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14173, 14172])).
% 83.02/52.62 tff(14175,plain,
% 83.02/52.62 (v127(constB93, 0) | (~v129(constB94, 0))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14174, 914, 12734])).
% 83.02/52.62 tff(14176,plain,
% 83.02/52.62 (v127(constB93, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14175, 14171])).
% 83.02/52.62 tff(14177,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14178,plain,
% 83.02/52.62 ((v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0))) <=> ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14179,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0)))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14178])).
% 83.02/52.62 tff(14180,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14179, 14177])).
% 83.02/52.62 tff(14181,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB93) | v130(constB93, 0) | (~v127(constB93, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14182,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB93, 0)) | v26(constB93) | v130(constB93, 0)),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 83.02/52.62 tff(14183,plain,
% 83.02/52.62 ((~v127(constB93, 0)) | v130(constB93, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14182, 896, 12723])).
% 83.02/52.62 tff(14184,plain,
% 83.02/52.62 (v130(constB93, 0)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14183, 14176])).
% 83.02/52.62 tff(14185,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB93)) | (~v130(constB93, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14186,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14187,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB93)) | (~v130(constB93, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 83.02/52.62 tff(14188,plain,
% 83.02/52.62 (~v120(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14187, 882, 14184])).
% 83.02/52.62 tff(14189,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB93)) | (~v130(constB93, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14190,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14191,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB93)) | (~v130(constB93, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 83.02/52.62 tff(14192,plain,
% 83.02/52.62 (~v124(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14191, 1882, 14184])).
% 83.02/52.62 tff(14193,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB93)) | (~v130(constB93, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14194,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB93)) | (~v130(constB93, 0)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14195,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB93)) | (~v130(constB93, 0))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 83.02/52.62 tff(14196,plain,
% 83.02/52.62 (~v122(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14195, 1431, 14184])).
% 83.02/52.62 tff(14197,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB93)) | (~v130(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB93)) | (~v130(constB93, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14198,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB93)) | (~v130(constB93, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14199,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB93)) | (~v130(constB93, 2))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 83.02/52.62 tff(14200,plain,
% 83.02/52.62 (~v121(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14199, 1052, 14159])).
% 83.02/52.62 tff(14201,plain,
% 83.02/52.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14202,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14203,plain,
% 83.02/52.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB93) | v120(constB93) | v121(constB93) | v122(constB93) | v123(constB93) | v124(constB93) | (~v130(constB93, 1))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 83.02/52.62 tff(14204,plain,
% 83.02/52.62 (v123(constB93)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14203, 2135, 14200, 14196, 14192, 14141, 14188, 14163])).
% 83.02/52.62 tff(14205,plain,
% 83.02/52.62 ($false),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[12718, 1623, 14204, 14141])).
% 83.02/52.62 tff(14206,plain,(v100(constB98) | v90(constB87, 2)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.62 tff(14207,plain,
% 83.02/52.62 (v100(constB98)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14206, 12037])).
% 83.02/52.62 tff(14208,plain,
% 83.02/52.62 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14209,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14210,plain,
% 83.02/52.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14209, 14208])).
% 83.02/52.62 tff(14211,plain,
% 83.02/52.62 ((~v90(constB98, 2)) | v129(constB98, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14210, 589, 14207])).
% 83.02/52.62 tff(14212,plain,
% 83.02/52.62 (~v90(constB98, 2)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14211, 13598])).
% 83.02/52.62 tff(14213,plain,
% 83.02/52.62 ((~v1(constB99)) <=> (~v1(constB99))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14214,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 83.02/52.62 tff(14215,plain,
% 83.02/52.62 (~v1(constB99)),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 83.02/52.62 tff(14216,plain,
% 83.02/52.62 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14217,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 83.02/52.62 tff(14218,plain,
% 83.02/52.62 (nextState(constB98, constB99)),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 83.02/52.62 tff(14219,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14220,plain,
% 83.02/52.62 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14221,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14220])).
% 83.02/52.62 tff(14222,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14221, 14219])).
% 83.02/52.62 tff(14223,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14224,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 83.02/52.62 tff(14225,plain,
% 83.02/52.62 (~v101(constB99)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14224, 66, 14218, 14215])).
% 83.02/52.62 tff(14226,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14227,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14228,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 83.02/52.62 inference(modus_ponens,[status(thm)],[14227, 14226])).
% 83.02/52.62 tff(14229,plain,
% 83.02/52.62 (v101(constB99) | (~v100(constB99))),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14228, 83, 14218])).
% 83.02/52.62 tff(14230,plain,
% 83.02/52.62 (~v100(constB99)),
% 83.02/52.62 inference(unit_resolution,[status(thm)],[14229, 14225])).
% 83.02/52.62 tff(14231,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14232,plain,
% 83.02/52.62 (((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))) <=> (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 83.02/52.62 inference(rewrite,[status(thm)],[])).
% 83.02/52.62 tff(14233,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))))),
% 83.02/52.62 inference(monotonicity,[status(thm)],[14232])).
% 83.02/52.62 tff(14234,plain,
% 83.02/52.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 83.02/52.62 inference(transitivity,[status(thm)],[14233, 14231])).
% 83.02/52.62 tff(14235,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))),
% 83.02/52.62 inference(quant_inst,[status(thm)],[])).
% 83.02/52.62 tff(14236,plain,
% 83.02/52.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 83.02/52.63 tff(14237,plain,
% 83.02/52.63 (v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14236, 98, 14218])).
% 83.02/52.63 tff(14238,plain,
% 83.02/52.63 (v90(constB98, 2) | (~v90(constB99, 2))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14237, 14230])).
% 83.02/52.63 tff(14239,plain,
% 83.02/52.63 (~v90(constB99, 2)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14238, 14212])).
% 83.02/52.63 tff(14240,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14241,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14242,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 83.02/52.63 tff(14243,plain,
% 83.02/52.63 (~v130(constB97, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14242, 2135, 13574, 13570, 13566, 13562, 13558, 13523])).
% 83.02/52.63 tff(14244,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14245,plain,
% 83.02/52.63 ((v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1))) <=> ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14246,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14245])).
% 83.02/52.63 tff(14247,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14246, 14244])).
% 83.02/52.63 tff(14248,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14249,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 83.02/52.63 tff(14250,plain,
% 83.02/52.63 ((~v127(constB97, 1)) | v130(constB97, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14249, 383, 13582])).
% 83.02/52.63 tff(14251,plain,
% 83.02/52.63 (~v127(constB97, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14250, 14243])).
% 83.02/52.63 tff(14252,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14253,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14254,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 83.02/52.63 tff(14255,plain,
% 83.02/52.63 (v127(constB97, 1) | (~v129(constB98, 1))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14254, 401, 13593])).
% 83.02/52.63 tff(14256,plain,
% 83.02/52.63 (~v129(constB98, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14255, 14251])).
% 83.02/52.63 tff(14257,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14258,plain,
% 83.02/52.63 (((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1)) <=> ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14259,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14258])).
% 83.02/52.63 tff(14260,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14259, 14257])).
% 83.02/52.63 tff(14261,plain,
% 83.02/52.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14262,plain,
% 83.02/52.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14261, 14260])).
% 83.02/52.63 tff(14263,plain,
% 83.02/52.63 ((~v90(constB98, 1)) | v129(constB98, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14262, 416, 14207])).
% 83.02/52.63 tff(14264,plain,
% 83.02/52.63 (~v90(constB98, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14263, 14256])).
% 83.02/52.63 tff(14265,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14266,plain,
% 83.02/52.63 (((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))) <=> (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14267,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14266])).
% 83.02/52.63 tff(14268,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14267, 14265])).
% 83.02/52.63 tff(14269,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14270,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 83.02/52.63 tff(14271,plain,
% 83.02/52.63 (v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14270, 119, 14218])).
% 83.02/52.63 tff(14272,plain,
% 83.02/52.63 (v90(constB98, 1) | (~v90(constB99, 1))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14271, 14230])).
% 83.02/52.63 tff(14273,plain,
% 83.02/52.63 (~v90(constB99, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14272, 14264])).
% 83.02/52.63 tff(14274,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14275,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14276,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 83.02/52.63 tff(14277,plain,
% 83.02/52.63 (v130(constB97, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14276, 2180, 13574, 13570, 13566, 13562, 13558, 13523])).
% 83.02/52.63 tff(14278,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14279,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14280,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 83.02/52.63 tff(14281,plain,
% 83.02/52.63 ((~v130(constB97, 0)) | v127(constB97, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14280, 478, 13582])).
% 83.02/52.63 tff(14282,plain,
% 83.02/52.63 (v127(constB97, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14281, 14277])).
% 83.02/52.63 tff(14283,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14284,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14285,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14284, 14283])).
% 83.02/52.63 tff(14286,plain,
% 83.02/52.63 ((~v127(constB97, 0)) | v129(constB98, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14285, 493, 13593])).
% 83.02/52.63 tff(14287,plain,
% 83.02/52.63 (v129(constB98, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14286, 14282])).
% 83.02/52.63 tff(14288,plain,
% 83.02/52.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14289,plain,
% 83.02/52.63 ((v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0))) <=> (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14290,plain,
% 83.02/52.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14289])).
% 83.02/52.63 tff(14291,plain,
% 83.02/52.63 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14290, 14288])).
% 83.02/52.63 tff(14292,plain,
% 83.02/52.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14293,plain,
% 83.02/52.63 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14292, 14291])).
% 83.02/52.63 tff(14294,plain,
% 83.02/52.63 (v90(constB98, 0) | (~v129(constB98, 0))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14293, 508, 14207])).
% 83.02/52.63 tff(14295,plain,
% 83.02/52.63 (v90(constB98, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14294, 14287])).
% 83.02/52.63 tff(14296,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14297,plain,
% 83.02/52.63 (((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)) <=> ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14298,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14297])).
% 83.02/52.63 tff(14299,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14298, 14296])).
% 83.02/52.63 tff(14300,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14301,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 83.02/52.63 tff(14302,plain,
% 83.02/52.63 ((~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14301, 526, 14218])).
% 83.02/52.63 tff(14303,plain,
% 83.02/52.63 ((~v90(constB98, 0)) | v90(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14302, 14230])).
% 83.02/52.63 tff(14304,plain,
% 83.02/52.63 (v90(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14303, 14295])).
% 83.02/52.63 tff(14305,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14306,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14307,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 83.02/52.63 tff(14308,plain,
% 83.02/52.63 (v120(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14307, 614, 14304, 14273, 14239])).
% 83.02/52.63 tff(14309,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14310,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14311,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14310, 14309])).
% 83.02/52.63 tff(14312,plain,
% 83.02/52.63 (v130(constB99, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14311, 804, 14308])).
% 83.02/52.63 tff(14313,assumption,(v26(constB99)), introduced(assumption)).
% 83.02/52.63 tff(14314,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14315,plain,
% 83.02/52.63 ($false),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14314, 19, 14313])).
% 83.02/52.63 tff(14316,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.63 tff(14317,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14318,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14319,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14318, 14317])).
% 83.02/52.63 tff(14320,plain,
% 83.02/52.63 ((~v130(constB99, 1)) | v127(constB99, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14319, 818, 14316])).
% 83.02/52.63 tff(14321,plain,
% 83.02/52.63 (v127(constB99, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14320, 14312])).
% 83.02/52.63 tff(14322,plain,
% 83.02/52.63 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14323,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 83.02/52.63 tff(14324,plain,
% 83.02/52.63 (nextState(constB99, constB100)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14323, 14322])).
% 83.02/52.63 tff(14325,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14326,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14327,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 83.02/52.63 tff(14328,plain,
% 83.02/52.63 ((~v127(constB99, 1)) | v129(constB100, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14327, 833, 14324])).
% 83.02/52.63 tff(14329,plain,
% 83.02/52.63 (v129(constB100, 1)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14328, 14321])).
% 83.02/52.63 tff(14330,assumption,(v120(constB99)), introduced(assumption)).
% 83.02/52.63 tff(14331,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14332,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14333,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 83.02/52.63 tff(14334,plain,
% 83.02/52.63 (~v130(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14333, 882, 14330])).
% 83.02/52.63 tff(14335,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14336,plain,
% 83.02/52.63 ((v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0))) <=> ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14337,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14336])).
% 83.02/52.63 tff(14338,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14337, 14335])).
% 83.02/52.63 tff(14339,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14340,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14339, 14338])).
% 83.02/52.63 tff(14341,plain,
% 83.02/52.63 ((~v127(constB99, 0)) | v130(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14340, 896, 14316])).
% 83.02/52.63 tff(14342,plain,
% 83.02/52.63 (~v127(constB99, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14341, 14334])).
% 83.02/52.63 tff(14343,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14344,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14345,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14344, 14343])).
% 83.02/52.63 tff(14346,plain,
% 83.02/52.63 (v127(constB99, 0) | (~v129(constB100, 0))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14345, 914, 14324])).
% 83.02/52.63 tff(14347,plain,
% 83.02/52.63 (~v129(constB100, 0)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14346, 14342])).
% 83.02/52.63 tff(14348,assumption,(v90(constB100, 0)), introduced(assumption)).
% 83.02/52.63 tff(14349,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14350,plain,
% 83.02/52.63 (((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0)) <=> ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14351,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14350])).
% 83.02/52.63 tff(14352,plain,
% 83.02/52.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14351, 14349])).
% 83.02/52.63 tff(14353,plain,
% 83.02/52.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14354,plain,
% 83.02/52.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 83.02/52.63 tff(14355,plain,
% 83.02/52.63 (v129(constB100, 0) | (~v100(constB100))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14354, 929, 14348])).
% 83.02/52.63 tff(14356,plain,
% 83.02/52.63 (~v100(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14355, 14347])).
% 83.02/52.63 tff(14357,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14358,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14359,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 83.02/52.63 tff(14360,plain,
% 83.02/52.63 (~v104(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14359, 306, 14324, 14215])).
% 83.02/52.63 tff(14361,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14362,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14363,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 83.02/52.63 tff(14364,plain,
% 83.02/52.63 (v102(constB100) | v104(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14363, 320, 14324])).
% 83.02/52.63 tff(14365,plain,
% 83.02/52.63 (v102(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14364, 14360])).
% 83.02/52.63 tff(14366,plain,
% 83.02/52.63 (v1(constB100) <=> v1(constB100)),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14367,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 83.02/52.63 tff(14368,plain,
% 83.02/52.63 (v1(constB100)),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14367, 14366])).
% 83.02/52.63 tff(14369,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14370,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14371,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 83.02/52.63 tff(14372,plain,
% 83.02/52.63 (v101(constB100) | (~v102(constB100))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14371, 338, 14324, 14368])).
% 83.02/52.63 tff(14373,plain,
% 83.02/52.63 (v101(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14372, 14365])).
% 83.02/52.63 tff(14374,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14375,plain,
% 83.02/52.63 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14376,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14375])).
% 83.02/52.63 tff(14377,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14376, 14374])).
% 83.02/52.63 tff(14378,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14379,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 83.02/52.63 tff(14380,plain,
% 83.02/52.63 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14379, 353, 14324])).
% 83.02/52.63 tff(14381,plain,
% 83.02/52.63 (v100(constB100) | (~v110(constB100))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14380, 14373])).
% 83.02/52.63 tff(14382,plain,
% 83.02/52.63 (~v110(constB100)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14381, 14356])).
% 83.02/52.63 tff(14383,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14384,plain,
% 83.02/52.63 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14385,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14384])).
% 83.02/52.63 tff(14386,plain,
% 83.02/52.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14385, 14383])).
% 83.02/52.63 tff(14387,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14388,plain,
% 83.02/52.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 83.02/52.63 tff(14389,plain,
% 83.02/52.63 (v110(constB100) | (~v108(constB99))),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14388, 288, 14324])).
% 83.02/52.63 tff(14390,plain,
% 83.02/52.63 (~v108(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14389, 14382])).
% 83.02/52.63 tff(14391,assumption,(~v108(constB99)), introduced(assumption)).
% 83.02/52.63 tff(14392,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14393,plain,
% 83.02/52.63 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14394,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14393])).
% 83.02/52.63 tff(14395,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14394, 14392])).
% 83.02/52.63 tff(14396,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14397,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14396, 14395])).
% 83.02/52.63 tff(14398,plain,
% 83.02/52.63 (~v112(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14397, 268, 14391])).
% 83.02/52.63 tff(14399,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v26(constB99)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v26(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14400,plain,
% 83.02/52.63 (((~v26(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v26(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14401,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v26(constB99))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14400])).
% 83.02/52.63 tff(14402,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v26(constB99)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14401, 14399])).
% 83.02/52.63 tff(14403,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB99)) | v108(constB99))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14404,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v26(constB99))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14403, 14402])).
% 83.02/52.63 tff(14405,plain,
% 83.02/52.63 (~v26(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14404, 685, 14391])).
% 83.02/52.63 tff(14406,assumption,(v113(constB99)), introduced(assumption)).
% 83.02/52.63 tff(14407,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14408,plain,
% 83.02/52.63 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14409,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14408])).
% 83.02/52.63 tff(14410,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 83.02/52.63 inference(transitivity,[status(thm)],[14409, 14407])).
% 83.02/52.63 tff(14411,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 83.02/52.63 inference(quant_inst,[status(thm)],[])).
% 83.02/52.63 tff(14412,plain,
% 83.02/52.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 83.02/52.63 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 83.02/52.63 tff(14413,plain,
% 83.02/52.63 (v26(constB99) | v112(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14412, 256, 14406])).
% 83.02/52.63 tff(14414,plain,
% 83.02/52.63 ($false),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14413, 14405, 14398])).
% 83.02/52.63 tff(14415,plain,(v108(constB99) | (~v113(constB99))), inference(lemma,lemma(discharge,[]))).
% 83.02/52.63 tff(14416,plain,
% 83.02/52.63 (~v113(constB99)),
% 83.02/52.63 inference(unit_resolution,[status(thm)],[14415, 14390])).
% 83.02/52.63 tff(14417,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14418,plain,
% 83.02/52.63 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 83.02/52.63 inference(rewrite,[status(thm)],[])).
% 83.02/52.63 tff(14419,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 83.02/52.63 inference(monotonicity,[status(thm)],[14418])).
% 83.02/52.63 tff(14420,plain,
% 83.02/52.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14419, 14417])).
% 83.02/52.64 tff(14421,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14422,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 83.02/52.64 tff(14423,plain,
% 83.02/52.64 (~v114(constB99)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14422, 242, 14416])).
% 83.02/52.64 tff(14424,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14425,plain,
% 83.02/52.64 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14426,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14425])).
% 83.02/52.64 tff(14427,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14426, 14424])).
% 83.02/52.64 tff(14428,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14429,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 83.02/52.64 tff(14430,plain,
% 83.02/52.64 (~v115(constB99)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14429, 228, 14423])).
% 83.02/52.64 tff(14431,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14432,plain,
% 83.02/52.64 (((~v120(constB99)) | v118(constB99)) <=> (v118(constB99) | (~v120(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14433,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB99) | (~v120(constB99))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14432])).
% 83.02/52.64 tff(14434,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14433, 14431])).
% 83.02/52.64 tff(14435,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14436,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB99) | (~v120(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 83.02/52.64 tff(14437,plain,
% 83.02/52.64 (v118(constB99)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14436, 628, 14330])).
% 83.02/52.64 tff(14438,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14439,plain,
% 83.02/52.64 (((~v118(constB99)) | v117(constB99)) <=> (v117(constB99) | (~v118(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14440,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14439])).
% 83.02/52.64 tff(14441,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14440, 14438])).
% 83.02/52.64 tff(14442,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14443,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 83.02/52.64 tff(14444,plain,
% 83.02/52.64 (v117(constB99)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14443, 186, 14437])).
% 83.02/52.64 tff(14445,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14446,plain,
% 83.02/52.64 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14447,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14446])).
% 83.02/52.64 tff(14448,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14447, 14445])).
% 83.02/52.64 tff(14449,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14450,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14449, 14448])).
% 83.02/52.64 tff(14451,plain,
% 83.02/52.64 (v116(constB99)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14450, 200, 14444])).
% 83.02/52.64 tff(14452,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14453,plain,
% 83.02/52.64 (((~v116(constB99)) | v115(constB99)) <=> (v115(constB99) | (~v116(constB99)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14454,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14453])).
% 83.02/52.64 tff(14455,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14454, 14452])).
% 83.02/52.64 tff(14456,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14457,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 83.02/52.64 tff(14458,plain,
% 83.02/52.64 ($false),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14457, 214, 14451, 14430])).
% 83.02/52.64 tff(14459,plain,((~v120(constB99)) | (~v90(constB100, 0))), inference(lemma,lemma(discharge,[]))).
% 83.02/52.64 tff(14460,plain,
% 83.02/52.64 (~v90(constB100, 0)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14459, 14308])).
% 83.02/52.64 tff(14461,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14462,plain,
% 83.02/52.64 (((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0)) <=> ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14463,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0)))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14462])).
% 83.02/52.64 tff(14464,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14463, 14461])).
% 83.02/52.64 tff(14465,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14466,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 83.02/52.64 tff(14467,plain,
% 83.02/52.64 ((~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14466, 526, 14324])).
% 83.02/52.64 tff(14468,plain,
% 83.02/52.64 (v100(constB100)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14467, 14460, 14304])).
% 83.02/52.64 tff(14469,plain,
% 83.02/52.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14470,plain,
% 83.02/52.64 ((v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1))) <=> (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14471,plain,
% 83.02/52.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14470])).
% 83.02/52.64 tff(14472,plain,
% 83.02/52.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14471, 14469])).
% 83.02/52.64 tff(14473,plain,
% 83.02/52.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14474,plain,
% 83.02/52.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 83.02/52.64 tff(14475,plain,
% 83.02/52.64 (v90(constB100, 1) | (~v129(constB100, 1))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14474, 848, 14468])).
% 83.02/52.64 tff(14476,plain,
% 83.02/52.64 (v90(constB100, 1)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14475, 14329])).
% 83.02/52.64 tff(14477,plain,
% 83.02/52.64 ((~v1(constB101)) <=> (~v1(constB101))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14478,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 83.02/52.64 tff(14479,plain,
% 83.02/52.64 (~v1(constB101)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14478, 14477])).
% 83.02/52.64 tff(14480,plain,
% 83.02/52.64 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14481,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 83.02/52.64 tff(14482,plain,
% 83.02/52.64 (nextState(constB100, constB101)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 83.02/52.64 tff(14483,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14484,plain,
% 83.02/52.64 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14485,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14484])).
% 83.02/52.64 tff(14486,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14485, 14483])).
% 83.02/52.64 tff(14487,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14488,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 83.02/52.64 tff(14489,plain,
% 83.02/52.64 (~v101(constB101)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14488, 66, 14482, 14479])).
% 83.02/52.64 tff(14490,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14491,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14492,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14491, 14490])).
% 83.02/52.64 tff(14493,plain,
% 83.02/52.64 (v101(constB101) | (~v100(constB101))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14492, 83, 14482])).
% 83.02/52.64 tff(14494,plain,
% 83.02/52.64 (~v100(constB101)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14493, 14489])).
% 83.02/52.64 tff(14495,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14496,plain,
% 83.02/52.64 (((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)) <=> ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14497,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14496])).
% 83.02/52.64 tff(14498,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14497, 14495])).
% 83.02/52.64 tff(14499,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14500,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 83.02/52.64 tff(14501,plain,
% 83.02/52.64 ((~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14500, 866, 14482])).
% 83.02/52.64 tff(14502,plain,
% 83.02/52.64 ((~v90(constB100, 1)) | v90(constB101, 1)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14501, 14494])).
% 83.02/52.64 tff(14503,plain,
% 83.02/52.64 (v90(constB101, 1)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14502, 14476])).
% 83.02/52.64 tff(14504,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14505,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14506,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 83.02/52.64 tff(14507,plain,
% 83.02/52.64 (~v130(constB99, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14506, 744, 14308])).
% 83.02/52.64 tff(14508,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14509,plain,
% 83.02/52.64 ((v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2))) <=> ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14510,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14509])).
% 83.02/52.64 tff(14511,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14510, 14508])).
% 83.02/52.64 tff(14512,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14513,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 83.02/52.64 tff(14514,plain,
% 83.02/52.64 ((~v127(constB99, 2)) | v130(constB99, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14513, 556, 14316])).
% 83.02/52.64 tff(14515,plain,
% 83.02/52.64 (~v127(constB99, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14514, 14507])).
% 83.02/52.64 tff(14516,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14517,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14518,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 83.02/52.64 tff(14519,plain,
% 83.02/52.64 (v127(constB99, 2) | (~v129(constB100, 2))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14518, 574, 14324])).
% 83.02/52.64 tff(14520,plain,
% 83.02/52.64 (~v129(constB100, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14519, 14515])).
% 83.02/52.64 tff(14521,plain,
% 83.02/52.64 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14522,plain,
% 83.02/52.64 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14523,plain,
% 83.02/52.64 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14522, 14521])).
% 83.02/52.64 tff(14524,plain,
% 83.02/52.64 ((~v90(constB100, 2)) | v129(constB100, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14523, 589, 14468])).
% 83.02/52.64 tff(14525,plain,
% 83.02/52.64 (~v90(constB100, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14524, 14520])).
% 83.02/52.64 tff(14526,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14527,plain,
% 83.02/52.64 (((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))) <=> (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14528,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14527])).
% 83.02/52.64 tff(14529,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14528, 14526])).
% 83.02/52.64 tff(14530,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14531,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14530, 14529])).
% 83.02/52.64 tff(14532,plain,
% 83.02/52.64 (v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14531, 98, 14482])).
% 83.02/52.64 tff(14533,plain,
% 83.02/52.64 (v90(constB100, 2) | (~v90(constB101, 2))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14532, 14494])).
% 83.02/52.64 tff(14534,plain,
% 83.02/52.64 (~v90(constB101, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14533, 14525])).
% 83.02/52.64 tff(14535,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14536,plain,
% 83.02/52.64 (((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))) <=> (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14537,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14536])).
% 83.02/52.64 tff(14538,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14537, 14535])).
% 83.02/52.64 tff(14539,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14540,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 83.02/52.64 tff(14541,plain,
% 83.02/52.64 (v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14540, 140, 14482])).
% 83.02/52.64 tff(14542,plain,
% 83.02/52.64 (v90(constB100, 0) | (~v90(constB101, 0))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14541, 14494])).
% 83.02/52.64 tff(14543,plain,
% 83.02/52.64 (~v90(constB101, 0)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14542, 14460])).
% 83.02/52.64 tff(14544,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14545,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14546,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 83.02/52.64 tff(14547,plain,
% 83.02/52.64 ((~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14546, 956, 14543])).
% 83.02/52.64 tff(14548,plain,
% 83.02/52.64 (v121(constB101)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14547, 14534, 14503])).
% 83.02/52.64 tff(14549,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14550,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14551,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14550, 14549])).
% 83.02/52.64 tff(14552,plain,
% 83.02/52.64 (~v130(constB101, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14551, 1052, 14548])).
% 83.02/52.64 tff(14553,assumption,(v26(constB101)), introduced(assumption)).
% 83.02/52.64 tff(14554,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14555,plain,
% 83.02/52.64 ($false),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14554, 19, 14553])).
% 83.02/52.64 tff(14556,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.64 tff(14557,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14558,plain,
% 83.02/52.64 ((v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2))) <=> ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14559,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14558])).
% 83.02/52.64 tff(14560,plain,
% 83.02/52.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14559, 14557])).
% 83.02/52.64 tff(14561,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14562,plain,
% 83.02/52.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14561, 14560])).
% 83.02/52.64 tff(14563,plain,
% 83.02/52.64 ((~v127(constB101, 2)) | v130(constB101, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14562, 556, 14556])).
% 83.02/52.64 tff(14564,plain,
% 83.02/52.64 (~v127(constB101, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14563, 14552])).
% 83.02/52.64 tff(14565,plain,
% 83.02/52.64 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14566,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 83.02/52.64 tff(14567,plain,
% 83.02/52.64 (nextState(constB101, constB102)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 83.02/52.64 tff(14568,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14569,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14570,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14569, 14568])).
% 83.02/52.64 tff(14571,plain,
% 83.02/52.64 (v127(constB101, 2) | (~v129(constB102, 2))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14570, 574, 14567])).
% 83.02/52.64 tff(14572,plain,
% 83.02/52.64 (~v129(constB102, 2)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14571, 14564])).
% 83.02/52.64 tff(14573,assumption,(~v100(constB102)), introduced(assumption)).
% 83.02/52.64 tff(14574,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14575,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14576,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14575, 14574])).
% 83.02/52.64 tff(14577,plain,
% 83.02/52.64 (~v104(constB102)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14576, 306, 14567, 14479])).
% 83.02/52.64 tff(14578,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14579,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14580,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14579, 14578])).
% 83.02/52.64 tff(14581,plain,
% 83.02/52.64 (v102(constB102) | v104(constB102)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14580, 320, 14567])).
% 83.02/52.64 tff(14582,plain,
% 83.02/52.64 (v102(constB102)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14581, 14577])).
% 83.02/52.64 tff(14583,plain,
% 83.02/52.64 (v1(constB102) <=> v1(constB102)),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14584,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 83.02/52.64 tff(14585,plain,
% 83.02/52.64 (v1(constB102)),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14584, 14583])).
% 83.02/52.64 tff(14586,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14587,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14588,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14587, 14586])).
% 83.02/52.64 tff(14589,plain,
% 83.02/52.64 (v101(constB102) | (~v102(constB102))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14588, 338, 14567, 14585])).
% 83.02/52.64 tff(14590,plain,
% 83.02/52.64 (v101(constB102)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14589, 14582])).
% 83.02/52.64 tff(14591,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14592,plain,
% 83.02/52.64 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14593,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 83.02/52.64 inference(monotonicity,[status(thm)],[14592])).
% 83.02/52.64 tff(14594,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 83.02/52.64 inference(transitivity,[status(thm)],[14593, 14591])).
% 83.02/52.64 tff(14595,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 83.02/52.64 inference(quant_inst,[status(thm)],[])).
% 83.02/52.64 tff(14596,plain,
% 83.02/52.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 83.02/52.64 inference(modus_ponens,[status(thm)],[14595, 14594])).
% 83.02/52.64 tff(14597,plain,
% 83.02/52.64 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14596, 353, 14567])).
% 83.02/52.64 tff(14598,plain,
% 83.02/52.64 (v100(constB102) | (~v110(constB102))),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14597, 14590])).
% 83.02/52.64 tff(14599,plain,
% 83.02/52.64 (~v110(constB102)),
% 83.02/52.64 inference(unit_resolution,[status(thm)],[14598, 14573])).
% 83.02/52.64 tff(14600,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14601,plain,
% 83.02/52.64 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 83.02/52.64 inference(rewrite,[status(thm)],[])).
% 83.02/52.64 tff(14602,plain,
% 83.02/52.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14601])).
% 83.02/52.65 tff(14603,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14602, 14600])).
% 83.02/52.65 tff(14604,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14605,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 83.02/52.65 tff(14606,plain,
% 83.02/52.65 (v110(constB102) | (~v108(constB101))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14605, 288, 14567])).
% 83.02/52.65 tff(14607,plain,
% 83.02/52.65 (~v108(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14606, 14599])).
% 83.02/52.65 tff(14608,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14609,plain,
% 83.02/52.65 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14610,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14609])).
% 83.02/52.65 tff(14611,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14610, 14608])).
% 83.02/52.65 tff(14612,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14613,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 83.02/52.65 tff(14614,plain,
% 83.02/52.65 (~v112(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14613, 268, 14607])).
% 83.02/52.65 tff(14615,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14616,plain,
% 83.02/52.65 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14617,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | v112(constB101) | (~v113(constB101))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14616])).
% 83.02/52.65 tff(14618,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14617, 14615])).
% 83.02/52.65 tff(14619,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14620,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14619, 14618])).
% 83.02/52.65 tff(14621,plain,
% 83.02/52.65 (v112(constB101) | (~v113(constB101))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14620, 256, 14556])).
% 83.02/52.65 tff(14622,plain,
% 83.02/52.65 (~v113(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14621, 14614])).
% 83.02/52.65 tff(14623,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14624,plain,
% 83.02/52.65 (((~v114(constB101)) | v113(constB101)) <=> (v113(constB101) | (~v114(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14625,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB101) | (~v114(constB101))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14624])).
% 83.02/52.65 tff(14626,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14625, 14623])).
% 83.02/52.65 tff(14627,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14628,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB101) | (~v114(constB101))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 83.02/52.65 tff(14629,plain,
% 83.02/52.65 (~v114(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14628, 242, 14622])).
% 83.02/52.65 tff(14630,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14631,plain,
% 83.02/52.65 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14632,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14631])).
% 83.02/52.65 tff(14633,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14632, 14630])).
% 83.02/52.65 tff(14634,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14635,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 83.02/52.65 tff(14636,plain,
% 83.02/52.65 (~v115(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14635, 228, 14629])).
% 83.02/52.65 tff(14637,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14638,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14639,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB101)) | v115(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 83.02/52.65 tff(14640,plain,
% 83.02/52.65 (~v116(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14639, 214, 14636])).
% 83.02/52.65 tff(14641,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB101)) | v116(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14642,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14643,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB101)) | v116(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 83.02/52.65 tff(14644,plain,
% 83.02/52.65 (~v117(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14643, 200, 14640])).
% 83.02/52.65 tff(14645,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB101)) | v117(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14646,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB101)) | v117(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14647,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB101)) | v117(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 83.02/52.65 tff(14648,plain,
% 83.02/52.65 (~v118(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14647, 186, 14644])).
% 83.02/52.65 tff(14649,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB101)) | v118(constB101))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB101)) | v118(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14650,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB101)) | v118(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14651,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB101)) | v118(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14650, 14649])).
% 83.02/52.65 tff(14652,plain,
% 83.02/52.65 (~v119(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14651, 175, 14648])).
% 83.02/52.65 tff(14653,assumption,(~v90(constB101, 2)), introduced(assumption)).
% 83.02/52.65 tff(14654,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14655,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB101)) | v116(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14656,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB101)) | v116(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 83.02/52.65 tff(14657,plain,
% 83.02/52.65 (~v122(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14656, 1257, 14640])).
% 83.02/52.65 tff(14658,assumption,(v122(constB103)), introduced(assumption)).
% 83.02/52.65 tff(14659,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB103)) | v90(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB103)) | v90(constB103, 1))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14660,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB103)) | v90(constB103, 1))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14661,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB103)) | v90(constB103, 1)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14660, 14659])).
% 83.02/52.65 tff(14662,plain,
% 83.02/52.65 (v90(constB103, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14661, 5876, 14658])).
% 83.02/52.65 tff(14663,plain,
% 83.02/52.65 ((~v1(constB103)) <=> (~v1(constB103))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14664,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 83.02/52.65 tff(14665,plain,
% 83.02/52.65 (~v1(constB103)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 83.02/52.65 tff(14666,plain,
% 83.02/52.65 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14667,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 83.02/52.65 tff(14668,plain,
% 83.02/52.65 (nextState(constB102, constB103)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 83.02/52.65 tff(14669,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14670,plain,
% 83.02/52.65 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14671,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14670])).
% 83.02/52.65 tff(14672,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14671, 14669])).
% 83.02/52.65 tff(14673,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14674,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 83.02/52.65 tff(14675,plain,
% 83.02/52.65 (~v101(constB103)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14674, 66, 14668, 14665])).
% 83.02/52.65 tff(14676,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14677,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14678,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 83.02/52.65 tff(14679,plain,
% 83.02/52.65 (v101(constB103) | (~v100(constB103))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14678, 83, 14668])).
% 83.02/52.65 tff(14680,plain,
% 83.02/52.65 (~v100(constB103)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14679, 14675])).
% 83.02/52.65 tff(14681,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14682,plain,
% 83.02/52.65 (((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1))) <=> (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14683,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14682])).
% 83.02/52.65 tff(14684,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14683, 14681])).
% 83.02/52.65 tff(14685,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14686,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 83.02/52.65 tff(14687,plain,
% 83.02/52.65 (v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14686, 119, 14668])).
% 83.02/52.65 tff(14688,plain,
% 83.02/52.65 (v90(constB102, 1) | (~v90(constB103, 1))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14687, 14680])).
% 83.02/52.65 tff(14689,plain,
% 83.02/52.65 (v90(constB102, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14688, 14662])).
% 83.02/52.65 tff(14690,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14691,plain,
% 83.02/52.65 (((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1))) <=> (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14692,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14691])).
% 83.02/52.65 tff(14693,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14692, 14690])).
% 83.02/52.65 tff(14694,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14695,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 83.02/52.65 tff(14696,plain,
% 83.02/52.65 (v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14695, 119, 14567])).
% 83.02/52.65 tff(14697,plain,
% 83.02/52.65 (v90(constB101, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14696, 14689, 14573])).
% 83.02/52.65 tff(14698,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB103)) | v90(constB103, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB103)) | v90(constB103, 0))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14699,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB103)) | v90(constB103, 0))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14700,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB103)) | v90(constB103, 0)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14699, 14698])).
% 83.02/52.65 tff(14701,plain,
% 83.02/52.65 (v90(constB103, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14700, 5863, 14658])).
% 83.02/52.65 tff(14702,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14703,plain,
% 83.02/52.65 (((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0))) <=> (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14704,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14703])).
% 83.02/52.65 tff(14705,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14704, 14702])).
% 83.02/52.65 tff(14706,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14707,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 83.02/52.65 tff(14708,plain,
% 83.02/52.65 (v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14707, 140, 14668])).
% 83.02/52.65 tff(14709,plain,
% 83.02/52.65 (v90(constB102, 0) | (~v90(constB103, 0))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14708, 14680])).
% 83.02/52.65 tff(14710,plain,
% 83.02/52.65 (v90(constB102, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14709, 14701])).
% 83.02/52.65 tff(14711,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14712,plain,
% 83.02/52.65 (((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0))) <=> (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14713,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14712])).
% 83.02/52.65 tff(14714,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14713, 14711])).
% 83.02/52.65 tff(14715,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14716,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14715, 14714])).
% 83.02/52.65 tff(14717,plain,
% 83.02/52.65 (v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14716, 140, 14567])).
% 83.02/52.65 tff(14718,plain,
% 83.02/52.65 (v90(constB101, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14717, 14710, 14573])).
% 83.02/52.65 tff(14719,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB101, 0)) | (~v90(constB101, 1)) | v90(constB101, 2) | v122(constB101))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB101, 0)) | (~v90(constB101, 1)) | v90(constB101, 2) | v122(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14720,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB101, 0)) | (~v90(constB101, 1)) | v90(constB101, 2) | v122(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14721,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB101, 0)) | (~v90(constB101, 1)) | v90(constB101, 2) | v122(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14720, 14719])).
% 83.02/52.65 tff(14722,plain,
% 83.02/52.65 ((~v90(constB101, 0)) | (~v90(constB101, 1)) | v122(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14721, 1187, 14653])).
% 83.02/52.65 tff(14723,plain,
% 83.02/52.65 ($false),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14722, 14718, 14697, 14657])).
% 83.02/52.65 tff(14724,plain,((~v122(constB103)) | v90(constB101, 2) | v100(constB102)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.65 tff(14725,plain,
% 83.02/52.65 (~v122(constB103)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14724, 14573, 14653])).
% 83.02/52.65 tff(14726,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14727,plain,
% 83.02/52.65 (((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2))) <=> (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14728,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14727])).
% 83.02/52.65 tff(14729,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14728, 14726])).
% 83.02/52.65 tff(14730,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14731,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14730, 14729])).
% 83.02/52.65 tff(14732,plain,
% 83.02/52.65 (v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14731, 98, 14567])).
% 83.02/52.65 tff(14733,plain,
% 83.02/52.65 (~v90(constB102, 2)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14732, 14573, 14653])).
% 83.02/52.65 tff(14734,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14735,plain,
% 83.02/52.65 (((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))) <=> (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14736,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14735])).
% 83.02/52.65 tff(14737,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14736, 14734])).
% 83.02/52.65 tff(14738,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14739,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 83.02/52.65 tff(14740,plain,
% 83.02/52.65 (v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14739, 98, 14668])).
% 83.02/52.65 tff(14741,plain,
% 83.02/52.65 (v90(constB102, 2) | (~v90(constB103, 2))),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14740, 14680])).
% 83.02/52.65 tff(14742,plain,
% 83.02/52.65 (~v90(constB103, 2)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14741, 14733])).
% 83.02/52.65 tff(14743,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB101)) | v118(constB101))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB101)) | v118(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14744,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB101)) | v118(constB101))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14745,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB101)) | v118(constB101)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 83.02/52.65 tff(14746,plain,
% 83.02/52.65 (~v120(constB101)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14745, 628, 14648])).
% 83.02/52.65 tff(14747,assumption,(v120(constB103)), introduced(assumption)).
% 83.02/52.65 tff(14748,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB103)) | v90(constB103, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB103)) | v90(constB103, 0))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14749,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB103)) | v90(constB103, 0))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14750,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB103)) | v90(constB103, 0)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14749, 14748])).
% 83.02/52.65 tff(14751,plain,
% 83.02/52.65 (v90(constB103, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14750, 5676, 14747])).
% 83.02/52.65 tff(14752,plain,
% 83.02/52.65 (v90(constB102, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14709, 14751])).
% 83.02/52.65 tff(14753,plain,
% 83.02/52.65 (v90(constB101, 0)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14717, 14752, 14573])).
% 83.02/52.65 tff(14754,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB103)) | (~v90(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB103)) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14755,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB103)) | (~v90(constB103, 1)))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14756,plain,
% 83.02/52.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB103)) | (~v90(constB103, 1))),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 83.02/52.65 tff(14757,plain,
% 83.02/52.65 (~v90(constB103, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14756, 2039, 14747])).
% 83.02/52.65 tff(14758,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14759,plain,
% 83.02/52.65 (((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)) <=> ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14760,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14759])).
% 83.02/52.65 tff(14761,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14760, 14758])).
% 83.02/52.65 tff(14762,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14763,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 83.02/52.65 tff(14764,plain,
% 83.02/52.65 ((~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14763, 866, 14668])).
% 83.02/52.65 tff(14765,plain,
% 83.02/52.65 ((~v90(constB102, 1)) | v90(constB103, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14764, 14680])).
% 83.02/52.65 tff(14766,plain,
% 83.02/52.65 (~v90(constB102, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14765, 14757])).
% 83.02/52.65 tff(14767,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14768,plain,
% 83.02/52.65 (((~nextState(constB101, constB102)) | (~v90(constB101, 1)) | v100(constB102) | v90(constB102, 1)) <=> ((~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14769,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 1)) | v100(constB102) | v90(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1)))),
% 83.02/52.65 inference(monotonicity,[status(thm)],[14768])).
% 83.02/52.65 tff(14770,plain,
% 83.02/52.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 1)) | v100(constB102) | v90(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1))),
% 83.02/52.65 inference(transitivity,[status(thm)],[14769, 14767])).
% 83.02/52.65 tff(14771,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 1)) | v100(constB102) | v90(constB102, 1))),
% 83.02/52.65 inference(quant_inst,[status(thm)],[])).
% 83.02/52.65 tff(14772,plain,
% 83.02/52.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB101, 1)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 1)),
% 83.02/52.65 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 83.02/52.65 tff(14773,plain,
% 83.02/52.65 ((~v90(constB101, 1)) | v100(constB102) | v90(constB102, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14772, 866, 14567])).
% 83.02/52.65 tff(14774,plain,
% 83.02/52.65 (~v90(constB101, 1)),
% 83.02/52.65 inference(unit_resolution,[status(thm)],[14773, 14766, 14573])).
% 83.02/52.65 tff(14775,plain,
% 83.02/52.65 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB101, 0)) | v90(constB101, 1) | v90(constB101, 2) | v120(constB101))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB101, 0)) | v90(constB101, 1) | v90(constB101, 2) | v120(constB101))),
% 83.02/52.65 inference(rewrite,[status(thm)],[])).
% 83.02/52.65 tff(14776,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB101, 0)) | v90(constB101, 1) | v90(constB101, 2) | v120(constB101))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14777,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB101, 0)) | v90(constB101, 1) | v90(constB101, 2) | v120(constB101)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 83.02/52.66 tff(14778,plain,
% 83.02/52.66 ((~v90(constB101, 0)) | v90(constB101, 1) | v120(constB101)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14777, 614, 14653])).
% 83.02/52.66 tff(14779,plain,
% 83.02/52.66 ($false),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14778, 14774, 14753, 14746])).
% 83.02/52.66 tff(14780,plain,((~v120(constB103)) | v90(constB101, 2) | v100(constB102)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.66 tff(14781,plain,
% 83.02/52.66 (~v120(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14780, 14573, 14653])).
% 83.02/52.66 tff(14782,assumption,(~v120(constB103)), introduced(assumption)).
% 83.02/52.66 tff(14783,assumption,(v90(constB103, 0)), introduced(assumption)).
% 83.02/52.66 tff(14784,assumption,(~v122(constB103)), introduced(assumption)).
% 83.02/52.66 tff(14785,assumption,(~v90(constB103, 2)), introduced(assumption)).
% 83.02/52.66 tff(14786,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14787,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14788,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 83.02/52.66 tff(14789,plain,
% 83.02/52.66 ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v122(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14788, 1187, 14785])).
% 83.02/52.66 tff(14790,plain,
% 83.02/52.66 (~v90(constB103, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14789, 14783, 14784])).
% 83.02/52.66 tff(14791,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14792,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14793,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 83.02/52.66 tff(14794,plain,
% 83.02/52.66 ((~v90(constB103, 0)) | v90(constB103, 1) | v120(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14793, 614, 14785])).
% 83.02/52.66 tff(14795,plain,
% 83.02/52.66 ($false),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14794, 14790, 14783, 14782])).
% 83.02/52.66 tff(14796,plain,((~v90(constB103, 0)) | v120(constB103) | v90(constB103, 2) | v122(constB103)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.66 tff(14797,plain,
% 83.02/52.66 (~v90(constB103, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14796, 14781, 14742, 14725])).
% 83.02/52.66 tff(14798,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14799,plain,
% 83.02/52.66 (((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)) <=> ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14800,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14799])).
% 83.02/52.66 tff(14801,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14800, 14798])).
% 83.02/52.66 tff(14802,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14803,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 83.02/52.66 tff(14804,plain,
% 83.02/52.66 ((~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14803, 526, 14668])).
% 83.02/52.66 tff(14805,plain,
% 83.02/52.66 ((~v90(constB102, 0)) | v90(constB103, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14804, 14680])).
% 83.02/52.66 tff(14806,plain,
% 83.02/52.66 (~v90(constB102, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14805, 14797])).
% 83.02/52.66 tff(14807,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14808,plain,
% 83.02/52.66 (((~nextState(constB101, constB102)) | (~v90(constB101, 0)) | v100(constB102) | v90(constB102, 0)) <=> ((~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14809,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 0)) | v100(constB102) | v90(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0)))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14808])).
% 83.02/52.66 tff(14810,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 0)) | v100(constB102) | v90(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14809, 14807])).
% 83.02/52.66 tff(14811,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v90(constB101, 0)) | v100(constB102) | v90(constB102, 0))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14812,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB101, 0)) | (~nextState(constB101, constB102)) | v100(constB102) | v90(constB102, 0)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14811, 14810])).
% 83.02/52.66 tff(14813,plain,
% 83.02/52.66 ((~v90(constB101, 0)) | v100(constB102) | v90(constB102, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14812, 526, 14567])).
% 83.02/52.66 tff(14814,plain,
% 83.02/52.66 (~v90(constB101, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14813, 14806, 14573])).
% 83.02/52.66 tff(14815,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB101)) | v117(constB101))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14816,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14817,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB101)) | v117(constB101)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 83.02/52.66 tff(14818,plain,
% 83.02/52.66 (~v121(constB101)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14817, 967, 14644])).
% 83.02/52.66 tff(14819,plain,
% 83.02/52.66 (v90(constB101, 0) | (~v90(constB101, 1)) | v121(constB101)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14546, 956, 14653])).
% 83.02/52.66 tff(14820,plain,
% 83.02/52.66 (~v90(constB101, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14819, 14814, 14818])).
% 83.02/52.66 tff(14821,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14822,plain,
% 83.02/52.66 ((v90(constB101, 0) | v119(constB101) | v90(constB101, 1) | v90(constB101, 2)) <=> (v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14823,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB101, 0) | v119(constB101) | v90(constB101, 1) | v90(constB101, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101)))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14822])).
% 83.02/52.66 tff(14824,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB101, 0) | v119(constB101) | v90(constB101, 1) | v90(constB101, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14823, 14821])).
% 83.02/52.66 tff(14825,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB101, 0) | v119(constB101) | v90(constB101, 1) | v90(constB101, 2))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14826,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB101, 0) | v90(constB101, 1) | v90(constB101, 2) | v119(constB101)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14825, 14824])).
% 83.02/52.66 tff(14827,plain,
% 83.02/52.66 (v90(constB101, 0) | v90(constB101, 1) | v119(constB101)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14826, 161, 14653])).
% 83.02/52.66 tff(14828,plain,
% 83.02/52.66 ($false),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14827, 14820, 14814, 14652])).
% 83.02/52.66 tff(14829,plain,(v100(constB102) | v90(constB101, 2)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.66 tff(14830,plain,
% 83.02/52.66 (v100(constB102)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14829, 14534])).
% 83.02/52.66 tff(14831,plain,
% 83.02/52.66 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14832,plain,
% 83.02/52.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14833,plain,
% 83.02/52.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 83.02/52.66 tff(14834,plain,
% 83.02/52.66 ((~v90(constB102, 2)) | v129(constB102, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14833, 589, 14830])).
% 83.02/52.66 tff(14835,plain,
% 83.02/52.66 (~v90(constB102, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14834, 14572])).
% 83.02/52.66 tff(14836,plain,
% 83.02/52.66 (~v90(constB103, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14741, 14835])).
% 83.02/52.66 tff(14837,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14838,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14839,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 83.02/52.66 tff(14840,plain,
% 83.02/52.66 (v130(constB101, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14839, 1108, 14548])).
% 83.02/52.66 tff(14841,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14842,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14843,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 83.02/52.66 tff(14844,plain,
% 83.02/52.66 ((~v130(constB101, 1)) | v127(constB101, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14843, 818, 14556])).
% 83.02/52.66 tff(14845,plain,
% 83.02/52.66 (v127(constB101, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14844, 14840])).
% 83.02/52.66 tff(14846,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14847,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14848,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14847, 14846])).
% 83.02/52.66 tff(14849,plain,
% 83.02/52.66 ((~v127(constB101, 1)) | v129(constB102, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14848, 833, 14567])).
% 83.02/52.66 tff(14850,plain,
% 83.02/52.66 (v129(constB102, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14849, 14845])).
% 83.02/52.66 tff(14851,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14852,plain,
% 83.02/52.66 ((v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1))) <=> (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14853,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14852])).
% 83.02/52.66 tff(14854,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14853, 14851])).
% 83.02/52.66 tff(14855,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14856,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 83.02/52.66 tff(14857,plain,
% 83.02/52.66 (v90(constB102, 1) | (~v129(constB102, 1))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14856, 848, 14830])).
% 83.02/52.66 tff(14858,plain,
% 83.02/52.66 (v90(constB102, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14857, 14850])).
% 83.02/52.66 tff(14859,plain,
% 83.02/52.66 (v90(constB103, 1)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14765, 14858])).
% 83.02/52.66 tff(14860,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14861,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14862,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 83.02/52.66 tff(14863,plain,
% 83.02/52.66 (v130(constB101, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14862, 1146, 14548])).
% 83.02/52.66 tff(14864,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14865,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14866,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 83.02/52.66 tff(14867,plain,
% 83.02/52.66 ((~v130(constB101, 0)) | v127(constB101, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14866, 478, 14556])).
% 83.02/52.66 tff(14868,plain,
% 83.02/52.66 (v127(constB101, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14867, 14863])).
% 83.02/52.66 tff(14869,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14870,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14871,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 83.02/52.66 tff(14872,plain,
% 83.02/52.66 ((~v127(constB101, 0)) | v129(constB102, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14871, 493, 14567])).
% 83.02/52.66 tff(14873,plain,
% 83.02/52.66 (v129(constB102, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14872, 14868])).
% 83.02/52.66 tff(14874,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14875,plain,
% 83.02/52.66 ((v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0))) <=> (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14876,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14875])).
% 83.02/52.66 tff(14877,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14876, 14874])).
% 83.02/52.66 tff(14878,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14879,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 83.02/52.66 tff(14880,plain,
% 83.02/52.66 (v90(constB102, 0) | (~v129(constB102, 0))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14879, 508, 14830])).
% 83.02/52.66 tff(14881,plain,
% 83.02/52.66 (v90(constB102, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14880, 14873])).
% 83.02/52.66 tff(14882,plain,
% 83.02/52.66 (v90(constB103, 0)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14805, 14881])).
% 83.02/52.66 tff(14883,plain,
% 83.02/52.66 (v122(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14788, 1187, 14882, 14859, 14836])).
% 83.02/52.66 tff(14884,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14885,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14886,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 83.02/52.66 tff(14887,plain,
% 83.02/52.66 (v116(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14886, 1257, 14883])).
% 83.02/52.66 tff(14888,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14889,plain,
% 83.02/52.66 (((~v116(constB103)) | v115(constB103)) <=> (v115(constB103) | (~v116(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14890,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14889])).
% 83.02/52.66 tff(14891,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14890, 14888])).
% 83.02/52.66 tff(14892,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14893,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14892, 14891])).
% 83.02/52.66 tff(14894,plain,
% 83.02/52.66 (v115(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14893, 214, 14887])).
% 83.02/52.66 tff(14895,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14896,plain,
% 83.02/52.66 (((~v115(constB103)) | v114(constB103)) <=> (v114(constB103) | (~v115(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14897,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB103) | (~v115(constB103))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14896])).
% 83.02/52.66 tff(14898,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14897, 14895])).
% 83.02/52.66 tff(14899,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14900,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB103) | (~v115(constB103))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14899, 14898])).
% 83.02/52.66 tff(14901,plain,
% 83.02/52.66 (v114(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14900, 228, 14894])).
% 83.02/52.66 tff(14902,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14903,plain,
% 83.02/52.66 (((~v114(constB103)) | v113(constB103)) <=> (v113(constB103) | (~v114(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14904,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB103) | (~v114(constB103))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14903])).
% 83.02/52.66 tff(14905,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14904, 14902])).
% 83.02/52.66 tff(14906,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14907,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB103) | (~v114(constB103))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 83.02/52.66 tff(14908,plain,
% 83.02/52.66 (v113(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14907, 242, 14901])).
% 83.02/52.66 tff(14909,assumption,(v26(constB103)), introduced(assumption)).
% 83.02/52.66 tff(14910,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14911,plain,
% 83.02/52.66 ($false),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14910, 19, 14909])).
% 83.02/52.66 tff(14912,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 83.02/52.66 tff(14913,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14914,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14915,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 83.02/52.66 tff(14916,plain,
% 83.02/52.66 ((~v113(constB103)) | v112(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14915, 256, 14912])).
% 83.02/52.66 tff(14917,plain,
% 83.02/52.66 (v112(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14916, 14908])).
% 83.02/52.66 tff(14918,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14919,plain,
% 83.02/52.66 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14920,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14919])).
% 83.02/52.66 tff(14921,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14920, 14918])).
% 83.02/52.66 tff(14922,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14923,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 83.02/52.66 tff(14924,plain,
% 83.02/52.66 (v108(constB103)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14923, 268, 14917])).
% 83.02/52.66 tff(14925,plain,
% 83.02/52.66 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14926,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 83.02/52.66 tff(14927,plain,
% 83.02/52.66 (nextState(constB103, constB104)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 83.02/52.66 tff(14928,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14929,plain,
% 83.02/52.66 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14930,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14929])).
% 83.02/52.66 tff(14931,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14930, 14928])).
% 83.02/52.66 tff(14932,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14933,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14932, 14931])).
% 83.02/52.66 tff(14934,plain,
% 83.02/52.66 (v110(constB104) | (~v108(constB103))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14933, 288, 14927])).
% 83.02/52.66 tff(14935,plain,
% 83.02/52.66 (v110(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14934, 14924])).
% 83.02/52.66 tff(14936,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14937,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14938,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 83.02/52.66 tff(14939,plain,
% 83.02/52.66 (~v104(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14938, 306, 14927, 14665])).
% 83.02/52.66 tff(14940,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14941,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14942,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 83.02/52.66 tff(14943,plain,
% 83.02/52.66 (v102(constB104) | v104(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14942, 320, 14927])).
% 83.02/52.66 tff(14944,plain,
% 83.02/52.66 (v102(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14943, 14939])).
% 83.02/52.66 tff(14945,plain,
% 83.02/52.66 (v1(constB104) <=> v1(constB104)),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14946,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 83.02/52.66 tff(14947,plain,
% 83.02/52.66 (v1(constB104)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 83.02/52.66 tff(14948,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14949,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14950,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14949, 14948])).
% 83.02/52.66 tff(14951,plain,
% 83.02/52.66 (v101(constB104) | (~v102(constB104))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14950, 338, 14927, 14947])).
% 83.02/52.66 tff(14952,plain,
% 83.02/52.66 (v101(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14951, 14944])).
% 83.02/52.66 tff(14953,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14954,plain,
% 83.02/52.66 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14955,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14954])).
% 83.02/52.66 tff(14956,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14955, 14953])).
% 83.02/52.66 tff(14957,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14958,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 83.02/52.66 tff(14959,plain,
% 83.02/52.66 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14958, 353, 14927])).
% 83.02/52.66 tff(14960,plain,
% 83.02/52.66 (v100(constB104) | (~v110(constB104))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14959, 14952])).
% 83.02/52.66 tff(14961,plain,
% 83.02/52.66 (v100(constB104)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14960, 14935])).
% 83.02/52.66 tff(14962,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14963,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14964,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14963, 14962])).
% 83.02/52.66 tff(14965,plain,
% 83.02/52.66 (v130(constB103, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14964, 1198, 14883])).
% 83.02/52.66 tff(14966,plain,
% 83.02/52.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14967,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14968,plain,
% 83.02/52.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14967, 14966])).
% 83.02/52.66 tff(14969,plain,
% 83.02/52.66 ((~v130(constB103, 2)) | v127(constB103, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14968, 1212, 14912])).
% 83.02/52.66 tff(14970,plain,
% 83.02/52.66 (v127(constB103, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14969, 14965])).
% 83.02/52.66 tff(14971,plain,
% 83.02/52.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14972,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14973,plain,
% 83.02/52.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2)),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14972, 14971])).
% 83.02/52.66 tff(14974,plain,
% 83.02/52.66 ((~v127(constB103, 2)) | v129(constB104, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14973, 1230, 14927])).
% 83.02/52.66 tff(14975,plain,
% 83.02/52.66 (v129(constB104, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14974, 14970])).
% 83.02/52.66 tff(14976,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14977,plain,
% 83.02/52.66 ((v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2))) <=> (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14978,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))))),
% 83.02/52.66 inference(monotonicity,[status(thm)],[14977])).
% 83.02/52.66 tff(14979,plain,
% 83.02/52.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 83.02/52.66 inference(transitivity,[status(thm)],[14978, 14976])).
% 83.02/52.66 tff(14980,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))),
% 83.02/52.66 inference(quant_inst,[status(thm)],[])).
% 83.02/52.66 tff(14981,plain,
% 83.02/52.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))),
% 83.02/52.66 inference(modus_ponens,[status(thm)],[14980, 14979])).
% 83.02/52.66 tff(14982,plain,
% 83.02/52.66 (v90(constB104, 2) | (~v100(constB104))),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14981, 1338, 14975])).
% 83.02/52.66 tff(14983,plain,
% 83.02/52.66 (v90(constB104, 2)),
% 83.02/52.66 inference(unit_resolution,[status(thm)],[14982, 14961])).
% 83.02/52.66 tff(14984,plain,
% 83.02/52.66 ((~v1(constB105)) <=> (~v1(constB105))),
% 83.02/52.66 inference(rewrite,[status(thm)],[])).
% 83.02/52.66 tff(14985,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 83.02/52.67 tff(14986,plain,
% 83.02/52.67 (~v1(constB105)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 83.02/52.67 tff(14987,plain,
% 83.02/52.67 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(14988,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 83.02/52.67 tff(14989,plain,
% 83.02/52.67 (nextState(constB104, constB105)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[14988, 14987])).
% 83.02/52.67 tff(14990,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(14991,plain,
% 83.02/52.67 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(14992,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[14991])).
% 83.02/52.67 tff(14993,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[14992, 14990])).
% 83.02/52.67 tff(14994,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(14995,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 83.02/52.67 tff(14996,plain,
% 83.02/52.67 (~v101(constB105)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[14995, 66, 14989, 14986])).
% 83.02/52.67 tff(14997,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(14998,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(14999,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 83.02/52.67 tff(15000,plain,
% 83.02/52.67 (v101(constB105) | (~v100(constB105))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[14999, 83, 14989])).
% 83.02/52.67 tff(15001,plain,
% 83.02/52.67 (~v100(constB105)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15000, 14996])).
% 83.02/52.67 tff(15002,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15003,plain,
% 83.02/52.67 (((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)) <=> ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15004,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15003])).
% 83.02/52.67 tff(15005,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15004, 15002])).
% 83.02/52.67 tff(15006,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15007,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 83.02/52.67 tff(15008,plain,
% 83.02/52.67 ((~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15007, 1374, 14989])).
% 83.02/52.67 tff(15009,plain,
% 83.02/52.67 ((~v90(constB104, 2)) | v90(constB105, 2)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15008, 15001])).
% 83.02/52.67 tff(15010,plain,
% 83.02/52.67 (v90(constB105, 2)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15009, 14983])).
% 83.02/52.67 tff(15011,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15012,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15013,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 83.02/52.67 tff(15014,plain,
% 83.02/52.67 (~v130(constB103, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15013, 1390, 14883])).
% 83.02/52.67 tff(15015,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15016,plain,
% 83.02/52.67 ((v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1))) <=> ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15017,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15016])).
% 83.02/52.67 tff(15018,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15017, 15015])).
% 83.02/52.67 tff(15019,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15020,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15019, 15018])).
% 83.02/52.67 tff(15021,plain,
% 83.02/52.67 ((~v127(constB103, 1)) | v130(constB103, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15020, 383, 14912])).
% 83.02/52.67 tff(15022,plain,
% 83.02/52.67 (~v127(constB103, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15021, 15014])).
% 83.02/52.67 tff(15023,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15024,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15025,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 83.02/52.67 tff(15026,plain,
% 83.02/52.67 (v127(constB103, 1) | (~v129(constB104, 1))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15025, 401, 14927])).
% 83.02/52.67 tff(15027,plain,
% 83.02/52.67 (~v129(constB104, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15026, 15022])).
% 83.02/52.67 tff(15028,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15029,plain,
% 83.02/52.67 (((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1)) <=> ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15030,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15029])).
% 83.02/52.67 tff(15031,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15030, 15028])).
% 83.02/52.67 tff(15032,plain,
% 83.02/52.67 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15033,plain,
% 83.02/52.67 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 83.02/52.67 tff(15034,plain,
% 83.02/52.67 ((~v90(constB104, 1)) | (~v100(constB104))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15033, 416, 15027])).
% 83.02/52.67 tff(15035,plain,
% 83.02/52.67 (~v90(constB104, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15034, 14961])).
% 83.02/52.67 tff(15036,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15037,plain,
% 83.02/52.67 (((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))) <=> (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15038,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15037])).
% 83.02/52.67 tff(15039,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15038, 15036])).
% 83.02/52.67 tff(15040,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15041,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15040, 15039])).
% 83.02/52.67 tff(15042,plain,
% 83.02/52.67 (v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15041, 119, 14989])).
% 83.02/52.67 tff(15043,plain,
% 83.02/52.67 (v90(constB104, 1) | (~v90(constB105, 1))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15042, 15001])).
% 83.02/52.67 tff(15044,plain,
% 83.02/52.67 (~v90(constB105, 1)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15043, 15035])).
% 83.02/52.67 tff(15045,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15046,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15047,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15046, 15045])).
% 83.02/52.67 tff(15048,plain,
% 83.02/52.67 (~v130(constB103, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15047, 1431, 14883])).
% 83.02/52.67 tff(15049,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15050,plain,
% 83.02/52.67 ((v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0))) <=> ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15051,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15050])).
% 83.02/52.67 tff(15052,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15051, 15049])).
% 83.02/52.67 tff(15053,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15054,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 83.02/52.67 tff(15055,plain,
% 83.02/52.67 ((~v127(constB103, 0)) | v130(constB103, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15054, 896, 14912])).
% 83.02/52.67 tff(15056,plain,
% 83.02/52.67 (~v127(constB103, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15055, 15048])).
% 83.02/52.67 tff(15057,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15058,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15059,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15058, 15057])).
% 83.02/52.67 tff(15060,plain,
% 83.02/52.67 (v127(constB103, 0) | (~v129(constB104, 0))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15059, 914, 14927])).
% 83.02/52.67 tff(15061,plain,
% 83.02/52.67 (~v129(constB104, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15060, 15056])).
% 83.02/52.67 tff(15062,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15063,plain,
% 83.02/52.67 (((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0)) <=> ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15064,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15063])).
% 83.02/52.67 tff(15065,plain,
% 83.02/52.67 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15064, 15062])).
% 83.02/52.67 tff(15066,plain,
% 83.02/52.67 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15067,plain,
% 83.02/52.67 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 83.02/52.67 tff(15068,plain,
% 83.02/52.67 ((~v90(constB104, 0)) | (~v100(constB104))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15067, 929, 15061])).
% 83.02/52.67 tff(15069,plain,
% 83.02/52.67 (~v90(constB104, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15068, 14961])).
% 83.02/52.67 tff(15070,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15071,plain,
% 83.02/52.67 (((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))) <=> (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15072,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15071])).
% 83.02/52.67 tff(15073,plain,
% 83.02/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15072, 15070])).
% 83.02/52.67 tff(15074,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15075,plain,
% 83.02/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 83.02/52.67 tff(15076,plain,
% 83.02/52.67 (v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15075, 140, 14989])).
% 83.02/52.67 tff(15077,plain,
% 83.02/52.67 (v90(constB104, 0) | (~v90(constB105, 0))),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15076, 15001])).
% 83.02/52.67 tff(15078,plain,
% 83.02/52.67 (~v90(constB105, 0)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15077, 15069])).
% 83.02/52.67 tff(15079,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15080,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15081,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 83.02/52.67 tff(15082,plain,
% 83.02/52.67 (v123(constB105)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15081, 1475, 15078, 15044, 15010])).
% 83.02/52.67 tff(15083,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB105)) | v115(constB105))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15084,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15085,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB105)) | v115(constB105)),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15084, 15083])).
% 83.02/52.67 tff(15086,plain,
% 83.02/52.67 (v115(constB105)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15085, 1486, 15082])).
% 83.02/52.67 tff(15087,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15088,plain,
% 83.02/52.67 (((~v115(constB105)) | v114(constB105)) <=> (v114(constB105) | (~v115(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15089,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15088])).
% 83.02/52.67 tff(15090,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15089, 15087])).
% 83.02/52.67 tff(15091,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.02/52.67 tff(15092,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105))),
% 83.02/52.67 inference(modus_ponens,[status(thm)],[15091, 15090])).
% 83.02/52.67 tff(15093,plain,
% 83.02/52.67 (v114(constB105)),
% 83.02/52.67 inference(unit_resolution,[status(thm)],[15092, 228, 15086])).
% 83.02/52.67 tff(15094,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15095,plain,
% 83.02/52.67 (((~v114(constB105)) | v113(constB105)) <=> (v113(constB105) | (~v114(constB105)))),
% 83.02/52.67 inference(rewrite,[status(thm)],[])).
% 83.02/52.67 tff(15096,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB105) | (~v114(constB105))))),
% 83.02/52.67 inference(monotonicity,[status(thm)],[15095])).
% 83.02/52.67 tff(15097,plain,
% 83.02/52.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105)))),
% 83.02/52.67 inference(transitivity,[status(thm)],[15096, 15094])).
% 83.02/52.67 tff(15098,plain,
% 83.02/52.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))),
% 83.02/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15099,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB105) | (~v114(constB105))),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 83.10/52.67 tff(15100,plain,
% 83.10/52.67 (v113(constB105)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15099, 242, 15093])).
% 83.10/52.67 tff(15101,assumption,(v26(constB105)), introduced(assumption)).
% 83.10/52.67 tff(15102,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15103,plain,
% 83.10/52.67 ($false),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15102, 19, 15101])).
% 83.10/52.67 tff(15104,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 83.10/52.67 tff(15105,plain,
% 83.10/52.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15106,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15107,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 83.10/52.67 tff(15108,plain,
% 83.10/52.67 ((~v113(constB105)) | v112(constB105)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15107, 256, 15104])).
% 83.10/52.67 tff(15109,plain,
% 83.10/52.67 (v112(constB105)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15108, 15100])).
% 83.10/52.67 tff(15110,plain,
% 83.10/52.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15111,plain,
% 83.10/52.67 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15112,plain,
% 83.10/52.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 83.10/52.67 inference(monotonicity,[status(thm)],[15111])).
% 83.10/52.67 tff(15113,plain,
% 83.10/52.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 83.10/52.67 inference(transitivity,[status(thm)],[15112, 15110])).
% 83.10/52.67 tff(15114,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15115,plain,
% 83.10/52.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 83.10/52.67 tff(15116,plain,
% 83.10/52.67 (v108(constB105)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15115, 268, 15109])).
% 83.10/52.67 tff(15117,plain,
% 83.10/52.67 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15118,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 83.10/52.67 tff(15119,plain,
% 83.10/52.67 (nextState(constB105, constB106)),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 83.10/52.67 tff(15120,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15121,plain,
% 83.10/52.67 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15122,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 83.10/52.67 inference(monotonicity,[status(thm)],[15121])).
% 83.10/52.67 tff(15123,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 83.10/52.67 inference(transitivity,[status(thm)],[15122, 15120])).
% 83.10/52.67 tff(15124,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15125,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 83.10/52.67 tff(15126,plain,
% 83.10/52.67 (v110(constB106) | (~v108(constB105))),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15125, 288, 15119])).
% 83.10/52.67 tff(15127,plain,
% 83.10/52.67 (v110(constB106)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15126, 15116])).
% 83.10/52.67 tff(15128,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15129,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15130,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 83.10/52.67 tff(15131,plain,
% 83.10/52.67 (~v104(constB106)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15130, 306, 15119, 14986])).
% 83.10/52.67 tff(15132,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15133,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15134,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 83.10/52.67 tff(15135,plain,
% 83.10/52.67 (v102(constB106) | v104(constB106)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15134, 320, 15119])).
% 83.10/52.67 tff(15136,plain,
% 83.10/52.67 (v102(constB106)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15135, 15131])).
% 83.10/52.67 tff(15137,plain,
% 83.10/52.67 (v1(constB106) <=> v1(constB106)),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15138,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 83.10/52.67 tff(15139,plain,
% 83.10/52.67 (v1(constB106)),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15138, 15137])).
% 83.10/52.67 tff(15140,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15141,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15142,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 83.10/52.67 inference(modus_ponens,[status(thm)],[15141, 15140])).
% 83.10/52.67 tff(15143,plain,
% 83.10/52.67 (v101(constB106) | (~v102(constB106))),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15142, 338, 15119, 15139])).
% 83.10/52.67 tff(15144,plain,
% 83.10/52.67 (v101(constB106)),
% 83.10/52.67 inference(unit_resolution,[status(thm)],[15143, 15136])).
% 83.10/52.67 tff(15145,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15146,plain,
% 83.10/52.67 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 83.10/52.67 inference(rewrite,[status(thm)],[])).
% 83.10/52.67 tff(15147,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 83.10/52.67 inference(monotonicity,[status(thm)],[15146])).
% 83.10/52.67 tff(15148,plain,
% 83.10/52.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 83.10/52.67 inference(transitivity,[status(thm)],[15147, 15145])).
% 83.10/52.67 tff(15149,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 83.10/52.67 inference(quant_inst,[status(thm)],[])).
% 83.10/52.67 tff(15150,plain,
% 83.10/52.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15149, 15148])).
% 83.10/52.68 tff(15151,plain,
% 83.10/52.68 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15150, 353, 15119])).
% 83.10/52.68 tff(15152,plain,
% 83.10/52.68 (v100(constB106) | (~v110(constB106))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15151, 15144])).
% 83.10/52.68 tff(15153,plain,
% 83.10/52.68 (v100(constB106)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15152, 15127])).
% 83.10/52.68 tff(15154,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15155,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15156,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 83.10/52.68 tff(15157,plain,
% 83.10/52.68 (v130(constB105, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15156, 1567, 15082])).
% 83.10/52.68 tff(15158,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15159,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15160,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 83.10/52.68 tff(15161,plain,
% 83.10/52.68 ((~v130(constB105, 2)) | v127(constB105, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15160, 1212, 15104])).
% 83.10/52.68 tff(15162,plain,
% 83.10/52.68 (v127(constB105, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15161, 15157])).
% 83.10/52.68 tff(15163,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15164,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15165,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 83.10/52.68 tff(15166,plain,
% 83.10/52.68 ((~v127(constB105, 2)) | v129(constB106, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15165, 1230, 15119])).
% 83.10/52.68 tff(15167,plain,
% 83.10/52.68 (v129(constB106, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15166, 15162])).
% 83.10/52.68 tff(15168,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15169,plain,
% 83.10/52.68 ((v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2))) <=> (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15170,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15169])).
% 83.10/52.68 tff(15171,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15170, 15168])).
% 83.10/52.68 tff(15172,plain,
% 83.10/52.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15173,plain,
% 83.10/52.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 83.10/52.68 tff(15174,plain,
% 83.10/52.68 (v90(constB106, 2) | (~v100(constB106))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15173, 1338, 15167])).
% 83.10/52.68 tff(15175,plain,
% 83.10/52.68 (v90(constB106, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15174, 15153])).
% 83.10/52.68 tff(15176,plain,
% 83.10/52.68 ((~v1(constB107)) <=> (~v1(constB107))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15177,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 83.10/52.68 tff(15178,plain,
% 83.10/52.68 (~v1(constB107)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 83.10/52.68 tff(15179,plain,
% 83.10/52.68 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15180,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 83.10/52.68 tff(15181,plain,
% 83.10/52.68 (nextState(constB106, constB107)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15180, 15179])).
% 83.10/52.68 tff(15182,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15183,plain,
% 83.10/52.68 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15184,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15183])).
% 83.10/52.68 tff(15185,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15184, 15182])).
% 83.10/52.68 tff(15186,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15187,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 83.10/52.68 tff(15188,plain,
% 83.10/52.68 (~v101(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15187, 66, 15181, 15178])).
% 83.10/52.68 tff(15189,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15190,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15191,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 83.10/52.68 tff(15192,plain,
% 83.10/52.68 (v101(constB107) | (~v100(constB107))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15191, 83, 15181])).
% 83.10/52.68 tff(15193,plain,
% 83.10/52.68 (~v100(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15192, 15188])).
% 83.10/52.68 tff(15194,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15195,plain,
% 83.10/52.68 (((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)) <=> ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15196,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15195])).
% 83.10/52.68 tff(15197,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15196, 15194])).
% 83.10/52.68 tff(15198,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15199,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 83.10/52.68 tff(15200,plain,
% 83.10/52.68 ((~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15199, 1374, 15181])).
% 83.10/52.68 tff(15201,plain,
% 83.10/52.68 ((~v90(constB106, 2)) | v90(constB107, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15200, 15193])).
% 83.10/52.68 tff(15202,plain,
% 83.10/52.68 (v90(constB107, 2)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15201, 15175])).
% 83.10/52.68 tff(15203,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15204,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15205,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 83.10/52.68 tff(15206,plain,
% 83.10/52.68 (~v130(constB105, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15205, 1623, 15082])).
% 83.10/52.68 tff(15207,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15208,plain,
% 83.10/52.68 ((v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1))) <=> ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15209,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15208])).
% 83.10/52.68 tff(15210,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15209, 15207])).
% 83.10/52.68 tff(15211,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15212,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 83.10/52.68 tff(15213,plain,
% 83.10/52.68 ((~v127(constB105, 1)) | v130(constB105, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15212, 383, 15104])).
% 83.10/52.68 tff(15214,plain,
% 83.10/52.68 (~v127(constB105, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15213, 15206])).
% 83.10/52.68 tff(15215,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15216,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15217,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 83.10/52.68 tff(15218,plain,
% 83.10/52.68 (v127(constB105, 1) | (~v129(constB106, 1))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15217, 401, 15119])).
% 83.10/52.68 tff(15219,plain,
% 83.10/52.68 (~v129(constB106, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15218, 15214])).
% 83.10/52.68 tff(15220,plain,
% 83.10/52.68 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15221,plain,
% 83.10/52.68 (((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1)) <=> ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15222,plain,
% 83.10/52.68 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15221])).
% 83.10/52.68 tff(15223,plain,
% 83.10/52.68 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15222, 15220])).
% 83.10/52.68 tff(15224,plain,
% 83.10/52.68 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15225,plain,
% 83.10/52.68 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 83.10/52.68 tff(15226,plain,
% 83.10/52.68 ((~v90(constB106, 1)) | (~v100(constB106))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15225, 416, 15219])).
% 83.10/52.68 tff(15227,plain,
% 83.10/52.68 (~v90(constB106, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15226, 15153])).
% 83.10/52.68 tff(15228,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15229,plain,
% 83.10/52.68 (((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))) <=> (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15230,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15229])).
% 83.10/52.68 tff(15231,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15230, 15228])).
% 83.10/52.68 tff(15232,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15233,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 83.10/52.68 tff(15234,plain,
% 83.10/52.68 (v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15233, 119, 15181])).
% 83.10/52.68 tff(15235,plain,
% 83.10/52.68 (v90(constB106, 1) | (~v90(constB107, 1))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15234, 15193])).
% 83.10/52.68 tff(15236,plain,
% 83.10/52.68 (~v90(constB107, 1)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15235, 15227])).
% 83.10/52.68 tff(15237,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15238,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15239,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15238, 15237])).
% 83.10/52.68 tff(15240,plain,
% 83.10/52.68 (v130(constB105, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15239, 1664, 15082])).
% 83.10/52.68 tff(15241,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15242,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15243,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 83.10/52.68 tff(15244,plain,
% 83.10/52.68 ((~v130(constB105, 0)) | v127(constB105, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15243, 478, 15104])).
% 83.10/52.68 tff(15245,plain,
% 83.10/52.68 (v127(constB105, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15244, 15240])).
% 83.10/52.68 tff(15246,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15247,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15248,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15247, 15246])).
% 83.10/52.68 tff(15249,plain,
% 83.10/52.68 ((~v127(constB105, 0)) | v129(constB106, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15248, 493, 15119])).
% 83.10/52.68 tff(15250,plain,
% 83.10/52.68 (v129(constB106, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15249, 15245])).
% 83.10/52.68 tff(15251,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15252,plain,
% 83.10/52.68 ((v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0))) <=> (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15253,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15252])).
% 83.10/52.68 tff(15254,plain,
% 83.10/52.68 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15253, 15251])).
% 83.10/52.68 tff(15255,plain,
% 83.10/52.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15256,plain,
% 83.10/52.68 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 83.10/52.68 tff(15257,plain,
% 83.10/52.68 (v90(constB106, 0) | (~v100(constB106))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15256, 508, 15250])).
% 83.10/52.68 tff(15258,plain,
% 83.10/52.68 (v90(constB106, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15257, 15153])).
% 83.10/52.68 tff(15259,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15260,plain,
% 83.10/52.68 (((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)) <=> ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15261,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15260])).
% 83.10/52.68 tff(15262,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15261, 15259])).
% 83.10/52.68 tff(15263,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15264,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15263, 15262])).
% 83.10/52.68 tff(15265,plain,
% 83.10/52.68 ((~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15264, 526, 15181])).
% 83.10/52.68 tff(15266,plain,
% 83.10/52.68 ((~v90(constB106, 0)) | v90(constB107, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15265, 15193])).
% 83.10/52.68 tff(15267,plain,
% 83.10/52.68 (v90(constB107, 0)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15266, 15258])).
% 83.10/52.68 tff(15268,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15269,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15270,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 83.10/52.68 tff(15271,plain,
% 83.10/52.68 (v124(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15270, 1705, 15267, 15236, 15202])).
% 83.10/52.68 tff(15272,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15273,plain,
% 83.10/52.68 (((~v124(constB107)) | v114(constB107)) <=> (v114(constB107) | (~v124(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15274,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB107) | (~v124(constB107))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15273])).
% 83.10/52.68 tff(15275,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15274, 15272])).
% 83.10/52.68 tff(15276,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15277,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB107) | (~v124(constB107))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 83.10/52.68 tff(15278,plain,
% 83.10/52.68 (v114(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15277, 1741, 15271])).
% 83.10/52.68 tff(15279,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15280,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15281,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB107)) | v113(constB107)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 83.10/52.68 tff(15282,plain,
% 83.10/52.68 (v113(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15281, 242, 15278])).
% 83.10/52.68 tff(15283,assumption,(v26(constB107)), introduced(assumption)).
% 83.10/52.68 tff(15284,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15285,plain,
% 83.10/52.68 ($false),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15284, 19, 15283])).
% 83.10/52.68 tff(15286,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 83.10/52.68 tff(15287,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15288,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15289,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 83.10/52.68 tff(15290,plain,
% 83.10/52.68 ((~v113(constB107)) | v112(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15289, 256, 15286])).
% 83.10/52.68 tff(15291,plain,
% 83.10/52.68 (v112(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15290, 15282])).
% 83.10/52.68 tff(15292,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15293,plain,
% 83.10/52.68 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15294,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15293])).
% 83.10/52.68 tff(15295,plain,
% 83.10/52.68 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15294, 15292])).
% 83.10/52.68 tff(15296,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15297,plain,
% 83.10/52.68 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 83.10/52.68 tff(15298,plain,
% 83.10/52.68 (v108(constB107)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15297, 268, 15291])).
% 83.10/52.68 tff(15299,plain,
% 83.10/52.68 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15300,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 83.10/52.68 tff(15301,plain,
% 83.10/52.68 (nextState(constB107, constB108)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 83.10/52.68 tff(15302,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15303,plain,
% 83.10/52.68 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15304,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15303])).
% 83.10/52.68 tff(15305,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15304, 15302])).
% 83.10/52.68 tff(15306,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15307,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 83.10/52.68 tff(15308,plain,
% 83.10/52.68 (v110(constB108) | (~v108(constB107))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15307, 288, 15301])).
% 83.10/52.68 tff(15309,plain,
% 83.10/52.68 (v110(constB108)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15308, 15298])).
% 83.10/52.68 tff(15310,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15311,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15312,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 83.10/52.68 tff(15313,plain,
% 83.10/52.68 (~v104(constB108)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15312, 306, 15301, 15178])).
% 83.10/52.68 tff(15314,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15315,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15316,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 83.10/52.68 tff(15317,plain,
% 83.10/52.68 (v102(constB108) | v104(constB108)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15316, 320, 15301])).
% 83.10/52.68 tff(15318,plain,
% 83.10/52.68 (v102(constB108)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15317, 15313])).
% 83.10/52.68 tff(15319,plain,
% 83.10/52.68 (v1(constB108) <=> v1(constB108)),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15320,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 83.10/52.68 tff(15321,plain,
% 83.10/52.68 (v1(constB108)),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 83.10/52.68 tff(15322,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15323,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 83.10/52.68 inference(quant_inst,[status(thm)],[])).
% 83.10/52.68 tff(15324,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 83.10/52.68 inference(modus_ponens,[status(thm)],[15323, 15322])).
% 83.10/52.68 tff(15325,plain,
% 83.10/52.68 (v101(constB108) | (~v102(constB108))),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15324, 338, 15301, 15321])).
% 83.10/52.68 tff(15326,plain,
% 83.10/52.68 (v101(constB108)),
% 83.10/52.68 inference(unit_resolution,[status(thm)],[15325, 15318])).
% 83.10/52.68 tff(15327,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15328,plain,
% 83.10/52.68 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 83.10/52.68 inference(rewrite,[status(thm)],[])).
% 83.10/52.68 tff(15329,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 83.10/52.68 inference(monotonicity,[status(thm)],[15328])).
% 83.10/52.68 tff(15330,plain,
% 83.10/52.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 83.10/52.68 inference(transitivity,[status(thm)],[15329, 15327])).
% 83.10/52.68 tff(15331,plain,
% 83.10/52.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15332,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15331, 15330])).
% 83.10/52.69 tff(15333,plain,
% 83.10/52.69 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15332, 353, 15301])).
% 83.10/52.69 tff(15334,plain,
% 83.10/52.69 (v100(constB108) | (~v110(constB108))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15333, 15326])).
% 83.10/52.69 tff(15335,plain,
% 83.10/52.69 (v100(constB108)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15334, 15309])).
% 83.10/52.69 tff(15336,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15337,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15338,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 83.10/52.69 tff(15339,plain,
% 83.10/52.69 (v130(constB107, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15338, 1716, 15271])).
% 83.10/52.69 tff(15340,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15341,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15342,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 83.10/52.69 tff(15343,plain,
% 83.10/52.69 ((~v130(constB107, 2)) | v127(constB107, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15342, 1212, 15286])).
% 83.10/52.69 tff(15344,plain,
% 83.10/52.69 (v127(constB107, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15343, 15339])).
% 83.10/52.69 tff(15345,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15346,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15347,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 83.10/52.69 tff(15348,plain,
% 83.10/52.69 ((~v127(constB107, 2)) | v129(constB108, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15347, 1230, 15301])).
% 83.10/52.69 tff(15349,plain,
% 83.10/52.69 (v129(constB108, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15348, 15344])).
% 83.10/52.69 tff(15350,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15351,plain,
% 83.10/52.69 ((v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2))) <=> (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15352,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15351])).
% 83.10/52.69 tff(15353,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15352, 15350])).
% 83.10/52.69 tff(15354,plain,
% 83.10/52.69 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15355,plain,
% 83.10/52.69 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 83.10/52.69 tff(15356,plain,
% 83.10/52.69 (v90(constB108, 2) | (~v100(constB108))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15355, 1338, 15349])).
% 83.10/52.69 tff(15357,plain,
% 83.10/52.69 (v90(constB108, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15356, 15335])).
% 83.10/52.69 tff(15358,plain,
% 83.10/52.69 ((~v1(constB109)) <=> (~v1(constB109))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15359,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 83.10/52.69 tff(15360,plain,
% 83.10/52.69 (~v1(constB109)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 83.10/52.69 tff(15361,plain,
% 83.10/52.69 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15362,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 83.10/52.69 tff(15363,plain,
% 83.10/52.69 (nextState(constB108, constB109)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15362, 15361])).
% 83.10/52.69 tff(15364,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15365,plain,
% 83.10/52.69 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15366,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15365])).
% 83.10/52.69 tff(15367,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15366, 15364])).
% 83.10/52.69 tff(15368,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15369,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 83.10/52.69 tff(15370,plain,
% 83.10/52.69 (~v101(constB109)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15369, 66, 15363, 15360])).
% 83.10/52.69 tff(15371,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15372,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15373,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 83.10/52.69 tff(15374,plain,
% 83.10/52.69 (v101(constB109) | (~v100(constB109))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15373, 83, 15363])).
% 83.10/52.69 tff(15375,plain,
% 83.10/52.69 (~v100(constB109)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15374, 15370])).
% 83.10/52.69 tff(15376,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15377,plain,
% 83.10/52.69 (((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)) <=> ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15378,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15377])).
% 83.10/52.69 tff(15379,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15378, 15376])).
% 83.10/52.69 tff(15380,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15381,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 83.10/52.69 tff(15382,plain,
% 83.10/52.69 ((~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15381, 1374, 15363])).
% 83.10/52.69 tff(15383,plain,
% 83.10/52.69 ((~v90(constB108, 2)) | v90(constB109, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15382, 15375])).
% 83.10/52.69 tff(15384,plain,
% 83.10/52.69 (v90(constB109, 2)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15383, 15357])).
% 83.10/52.69 tff(15385,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15386,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15387,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15386, 15385])).
% 83.10/52.69 tff(15388,plain,
% 83.10/52.69 (v130(constB107, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15387, 1767, 15271])).
% 83.10/52.69 tff(15389,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15390,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15391,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 83.10/52.69 tff(15392,plain,
% 83.10/52.69 ((~v130(constB107, 1)) | v127(constB107, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15391, 818, 15286])).
% 83.10/52.69 tff(15393,plain,
% 83.10/52.69 (v127(constB107, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15392, 15388])).
% 83.10/52.69 tff(15394,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15395,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15396,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 83.10/52.69 tff(15397,plain,
% 83.10/52.69 ((~v127(constB107, 1)) | v129(constB108, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15396, 833, 15301])).
% 83.10/52.69 tff(15398,plain,
% 83.10/52.69 (v129(constB108, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15397, 15393])).
% 83.10/52.69 tff(15399,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15400,plain,
% 83.10/52.69 ((v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1))) <=> (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15401,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15400])).
% 83.10/52.69 tff(15402,plain,
% 83.10/52.69 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15401, 15399])).
% 83.10/52.69 tff(15403,plain,
% 83.10/52.69 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15404,plain,
% 83.10/52.69 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 83.10/52.69 tff(15405,plain,
% 83.10/52.69 (v90(constB108, 1) | (~v100(constB108))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15404, 848, 15398])).
% 83.10/52.69 tff(15406,plain,
% 83.10/52.69 (v90(constB108, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15405, 15335])).
% 83.10/52.69 tff(15407,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15408,plain,
% 83.10/52.69 (((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)) <=> ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15409,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15408])).
% 83.10/52.69 tff(15410,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15409, 15407])).
% 83.10/52.69 tff(15411,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15412,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15411, 15410])).
% 83.10/52.69 tff(15413,plain,
% 83.10/52.69 ((~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15412, 866, 15363])).
% 83.10/52.69 tff(15414,plain,
% 83.10/52.69 ((~v90(constB108, 1)) | v90(constB109, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15413, 15375])).
% 83.10/52.69 tff(15415,plain,
% 83.10/52.69 (v90(constB109, 1)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15414, 15406])).
% 83.10/52.69 tff(15416,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15417,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15418,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 83.10/52.69 tff(15419,plain,
% 83.10/52.69 (~v130(constB107, 0)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15418, 1882, 15271])).
% 83.10/52.69 tff(15420,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15421,plain,
% 83.10/52.69 ((v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0))) <=> ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15422,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)))),
% 83.10/52.69 inference(monotonicity,[status(thm)],[15421])).
% 83.10/52.69 tff(15423,plain,
% 83.10/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 83.10/52.69 inference(transitivity,[status(thm)],[15422, 15420])).
% 83.10/52.69 tff(15424,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15425,plain,
% 83.10/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 83.10/52.69 tff(15426,plain,
% 83.10/52.69 ((~v127(constB107, 0)) | v130(constB107, 0)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15425, 896, 15286])).
% 83.10/52.69 tff(15427,plain,
% 83.10/52.69 (~v127(constB107, 0)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15426, 15419])).
% 83.10/52.69 tff(15428,plain,
% 83.10/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 83.10/52.69 inference(rewrite,[status(thm)],[])).
% 83.10/52.69 tff(15429,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 83.10/52.69 inference(quant_inst,[status(thm)],[])).
% 83.10/52.69 tff(15430,plain,
% 83.10/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0))),
% 83.10/52.69 inference(modus_ponens,[status(thm)],[15429, 15428])).
% 83.10/52.69 tff(15431,plain,
% 83.10/52.69 (v127(constB107, 0) | (~v129(constB108, 0))),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15430, 914, 15301])).
% 83.10/52.69 tff(15432,plain,
% 83.10/52.69 (~v129(constB108, 0)),
% 83.10/52.69 inference(unit_resolution,[status(thm)],[15431, 15427])).
% 83.10/52.69 tff(15433,plain,
% 83.10/52.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15434,plain,
% 83.12/52.69 (((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0)) <=> ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15435,plain,
% 83.12/52.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))))),
% 83.12/52.69 inference(monotonicity,[status(thm)],[15434])).
% 83.12/52.69 tff(15436,plain,
% 83.12/52.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 83.12/52.69 inference(transitivity,[status(thm)],[15435, 15433])).
% 83.12/52.69 tff(15437,plain,
% 83.12/52.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15438,plain,
% 83.12/52.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 83.12/52.69 tff(15439,plain,
% 83.12/52.69 ((~v90(constB108, 0)) | (~v100(constB108))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15438, 929, 15432])).
% 83.12/52.69 tff(15440,plain,
% 83.12/52.69 (~v90(constB108, 0)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15439, 15335])).
% 83.12/52.69 tff(15441,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15442,plain,
% 83.12/52.69 (((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))) <=> (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15443,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))))),
% 83.12/52.69 inference(monotonicity,[status(thm)],[15442])).
% 83.12/52.69 tff(15444,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 83.12/52.69 inference(transitivity,[status(thm)],[15443, 15441])).
% 83.12/52.69 tff(15445,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15446,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15445, 15444])).
% 83.12/52.69 tff(15447,plain,
% 83.12/52.69 (v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15446, 140, 15363])).
% 83.12/52.69 tff(15448,plain,
% 83.12/52.69 (v90(constB108, 0) | (~v90(constB109, 0))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15447, 15375])).
% 83.12/52.69 tff(15449,plain,
% 83.12/52.69 (~v90(constB109, 0)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15448, 15440])).
% 83.12/52.69 tff(15450,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15451,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15452,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15451, 15450])).
% 83.12/52.69 tff(15453,plain,
% 83.12/52.69 (v125(constB109)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15452, 1934, 15449, 15415, 15384])).
% 83.12/52.69 tff(15454,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB109)) | v113(constB109))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15455,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15456,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB109)) | v113(constB109)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15455, 15454])).
% 83.12/52.69 tff(15457,plain,
% 83.12/52.69 (v113(constB109)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15456, 1946, 15453])).
% 83.12/52.69 tff(15458,assumption,(v26(constB109)), introduced(assumption)).
% 83.12/52.69 tff(15459,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15460,plain,
% 83.12/52.69 ($false),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15459, 19, 15458])).
% 83.12/52.69 tff(15461,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 83.12/52.69 tff(15462,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15463,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15464,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | (~v113(constB109)) | v112(constB109)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 83.12/52.69 tff(15465,plain,
% 83.12/52.69 ((~v113(constB109)) | v112(constB109)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15464, 256, 15461])).
% 83.12/52.69 tff(15466,plain,
% 83.12/52.69 (v112(constB109)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15465, 15457])).
% 83.12/52.69 tff(15467,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15468,plain,
% 83.12/52.69 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15469,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 83.12/52.69 inference(monotonicity,[status(thm)],[15468])).
% 83.12/52.69 tff(15470,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 83.12/52.69 inference(transitivity,[status(thm)],[15469, 15467])).
% 83.12/52.69 tff(15471,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15472,plain,
% 83.12/52.69 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 83.12/52.69 tff(15473,plain,
% 83.12/52.69 (v108(constB109)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15472, 268, 15466])).
% 83.12/52.69 tff(15474,plain,
% 83.12/52.69 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15475,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 83.12/52.69 tff(15476,plain,
% 83.12/52.69 (nextState(constB109, constB110)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 83.12/52.69 tff(15477,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15478,plain,
% 83.12/52.69 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15479,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 83.12/52.69 inference(monotonicity,[status(thm)],[15478])).
% 83.12/52.69 tff(15480,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 83.12/52.69 inference(transitivity,[status(thm)],[15479, 15477])).
% 83.12/52.69 tff(15481,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15482,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 83.12/52.69 tff(15483,plain,
% 83.12/52.69 (v110(constB110) | (~v108(constB109))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15482, 288, 15476])).
% 83.12/52.69 tff(15484,plain,
% 83.12/52.69 (v110(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15483, 15473])).
% 83.12/52.69 tff(15485,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15486,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15487,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 83.12/52.69 tff(15488,plain,
% 83.12/52.69 (~v104(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15487, 306, 15476, 15360])).
% 83.12/52.69 tff(15489,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15490,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15491,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 83.12/52.69 tff(15492,plain,
% 83.12/52.69 (v102(constB110) | v104(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15491, 320, 15476])).
% 83.12/52.69 tff(15493,plain,
% 83.12/52.69 (v102(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15492, 15488])).
% 83.12/52.69 tff(15494,plain,
% 83.12/52.69 (v1(constB110) <=> v1(constB110)),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15495,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 83.12/52.69 tff(15496,plain,
% 83.12/52.69 (v1(constB110)),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15495, 15494])).
% 83.12/52.69 tff(15497,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15498,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15499,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 83.12/52.69 tff(15500,plain,
% 83.12/52.69 (v101(constB110) | (~v102(constB110))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15499, 338, 15476, 15496])).
% 83.12/52.69 tff(15501,plain,
% 83.12/52.69 (v101(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15500, 15493])).
% 83.12/52.69 tff(15502,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15503,plain,
% 83.12/52.69 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 83.12/52.69 inference(rewrite,[status(thm)],[])).
% 83.12/52.69 tff(15504,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 83.12/52.69 inference(monotonicity,[status(thm)],[15503])).
% 83.12/52.69 tff(15505,plain,
% 83.12/52.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 83.12/52.69 inference(transitivity,[status(thm)],[15504, 15502])).
% 83.12/52.69 tff(15506,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 83.12/52.69 inference(quant_inst,[status(thm)],[])).
% 83.12/52.69 tff(15507,plain,
% 83.12/52.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 83.12/52.69 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 83.12/52.69 tff(15508,plain,
% 83.12/52.69 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15507, 353, 15476])).
% 83.12/52.69 tff(15509,plain,
% 83.12/52.69 (v100(constB110) | (~v110(constB110))),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15508, 15501])).
% 83.12/52.69 tff(15510,plain,
% 83.12/52.69 (v100(constB110)),
% 83.12/52.69 inference(unit_resolution,[status(thm)],[15509, 15484])).
% 83.12/52.69 tff(15511,plain,
% 83.12/52.69 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15512,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15513,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15512, 15511])).
% 83.12/52.70 tff(15514,plain,
% 83.12/52.70 (~v121(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15513, 2017, 15384])).
% 83.12/52.70 tff(15515,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15516,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15517,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 83.12/52.70 tff(15518,plain,
% 83.12/52.70 (~v122(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15517, 2006, 15384])).
% 83.12/52.70 tff(15519,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15520,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15521,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 83.12/52.70 tff(15522,plain,
% 83.12/52.70 (~v119(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15521, 2028, 15415])).
% 83.12/52.70 tff(15523,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15524,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15525,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 83.12/52.70 tff(15526,plain,
% 83.12/52.70 (~v120(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15525, 2039, 15415])).
% 83.12/52.70 tff(15527,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15528,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15529,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 83.12/52.70 tff(15530,plain,
% 83.12/52.70 (~v123(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15529, 2050, 15415])).
% 83.12/52.70 tff(15531,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15532,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15533,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 83.12/52.70 tff(15534,plain,
% 83.12/52.70 (~v124(constB109)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15533, 2061, 15415])).
% 83.12/52.70 tff(15535,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15536,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15537,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15536, 15535])).
% 83.12/52.70 tff(15538,plain,
% 83.12/52.70 (~v130(constB109, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15537, 2075, 15534, 15530, 15526, 15522, 15518, 15514])).
% 83.12/52.70 tff(15539,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15540,plain,
% 83.12/52.70 ((v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2))) <=> ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15541,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15540])).
% 83.12/52.70 tff(15542,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15541, 15539])).
% 83.12/52.70 tff(15543,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15544,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 83.12/52.70 tff(15545,plain,
% 83.12/52.70 ((~v127(constB109, 2)) | v130(constB109, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15544, 556, 15461])).
% 83.12/52.70 tff(15546,plain,
% 83.12/52.70 (~v127(constB109, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15545, 15538])).
% 83.12/52.70 tff(15547,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15548,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15549,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 83.12/52.70 tff(15550,plain,
% 83.12/52.70 (v127(constB109, 2) | (~v129(constB110, 2))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15549, 574, 15476])).
% 83.12/52.70 tff(15551,plain,
% 83.12/52.70 (~v129(constB110, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15550, 15546])).
% 83.12/52.70 tff(15552,plain,
% 83.12/52.70 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15553,plain,
% 83.12/52.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15554,plain,
% 83.12/52.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 83.12/52.70 tff(15555,plain,
% 83.12/52.70 ((~v90(constB110, 2)) | (~v100(constB110))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15554, 589, 15551])).
% 83.12/52.70 tff(15556,plain,
% 83.12/52.70 (~v90(constB110, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15555, 15510])).
% 83.12/52.70 tff(15557,plain,
% 83.12/52.70 ((~v1(constB111)) <=> (~v1(constB111))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15558,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 83.12/52.70 tff(15559,plain,
% 83.12/52.70 (~v1(constB111)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 83.12/52.70 tff(15560,plain,
% 83.12/52.70 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15561,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 83.12/52.70 tff(15562,plain,
% 83.12/52.70 (nextState(constB110, constB111)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 83.12/52.70 tff(15563,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15564,plain,
% 83.12/52.70 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15565,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15564])).
% 83.12/52.70 tff(15566,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15565, 15563])).
% 83.12/52.70 tff(15567,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15568,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 83.12/52.70 tff(15569,plain,
% 83.12/52.70 (~v101(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15568, 66, 15562, 15559])).
% 83.12/52.70 tff(15570,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15571,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15572,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 83.12/52.70 tff(15573,plain,
% 83.12/52.70 (v101(constB111) | (~v100(constB111))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15572, 83, 15562])).
% 83.12/52.70 tff(15574,plain,
% 83.12/52.70 (~v100(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15573, 15569])).
% 83.12/52.70 tff(15575,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15576,plain,
% 83.12/52.70 (((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))) <=> (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15577,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15576])).
% 83.12/52.70 tff(15578,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15577, 15575])).
% 83.12/52.70 tff(15579,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15580,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15579, 15578])).
% 83.12/52.70 tff(15581,plain,
% 83.12/52.70 (v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15580, 98, 15562])).
% 83.12/52.70 tff(15582,plain,
% 83.12/52.70 (v90(constB110, 2) | (~v90(constB111, 2))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15581, 15574])).
% 83.12/52.70 tff(15583,plain,
% 83.12/52.70 (~v90(constB111, 2)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15582, 15556])).
% 83.12/52.70 tff(15584,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15585,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15586,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 83.12/52.70 tff(15587,plain,
% 83.12/52.70 (~v130(constB109, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15586, 2135, 15534, 15530, 15526, 15522, 15518, 15514])).
% 83.12/52.70 tff(15588,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15589,plain,
% 83.12/52.70 ((v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1))) <=> ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15590,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15589])).
% 83.12/52.70 tff(15591,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15590, 15588])).
% 83.12/52.70 tff(15592,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15593,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15592, 15591])).
% 83.12/52.70 tff(15594,plain,
% 83.12/52.70 ((~v127(constB109, 1)) | v130(constB109, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15593, 383, 15461])).
% 83.12/52.70 tff(15595,plain,
% 83.12/52.70 (~v127(constB109, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15594, 15587])).
% 83.12/52.70 tff(15596,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15597,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15598,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 83.12/52.70 tff(15599,plain,
% 83.12/52.70 (v127(constB109, 1) | (~v129(constB110, 1))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15598, 401, 15476])).
% 83.12/52.70 tff(15600,plain,
% 83.12/52.70 (~v129(constB110, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15599, 15595])).
% 83.12/52.70 tff(15601,plain,
% 83.12/52.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15602,plain,
% 83.12/52.70 (((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1)) <=> ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15603,plain,
% 83.12/52.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15602])).
% 83.12/52.70 tff(15604,plain,
% 83.12/52.70 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15603, 15601])).
% 83.12/52.70 tff(15605,plain,
% 83.12/52.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15606,plain,
% 83.12/52.70 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 83.12/52.70 tff(15607,plain,
% 83.12/52.70 ((~v90(constB110, 1)) | (~v100(constB110))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15606, 416, 15600])).
% 83.12/52.70 tff(15608,plain,
% 83.12/52.70 (~v90(constB110, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15607, 15510])).
% 83.12/52.70 tff(15609,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15610,plain,
% 83.12/52.70 (((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))) <=> (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15611,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15610])).
% 83.12/52.70 tff(15612,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15611, 15609])).
% 83.12/52.70 tff(15613,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15614,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 83.12/52.70 tff(15615,plain,
% 83.12/52.70 (v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15614, 119, 15562])).
% 83.12/52.70 tff(15616,plain,
% 83.12/52.70 (v90(constB110, 1) | (~v90(constB111, 1))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15615, 15574])).
% 83.12/52.70 tff(15617,plain,
% 83.12/52.70 (~v90(constB111, 1)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15616, 15608])).
% 83.12/52.70 tff(15618,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15619,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15620,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 83.12/52.70 tff(15621,plain,
% 83.12/52.70 (v130(constB109, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15620, 2180, 15534, 15530, 15526, 15522, 15518, 15514])).
% 83.12/52.70 tff(15622,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15623,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15624,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 83.12/52.70 tff(15625,plain,
% 83.12/52.70 ((~v130(constB109, 0)) | v127(constB109, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15624, 478, 15461])).
% 83.12/52.70 tff(15626,plain,
% 83.12/52.70 (v127(constB109, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15625, 15621])).
% 83.12/52.70 tff(15627,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15628,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15629,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15628, 15627])).
% 83.12/52.70 tff(15630,plain,
% 83.12/52.70 ((~v127(constB109, 0)) | v129(constB110, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15629, 493, 15476])).
% 83.12/52.70 tff(15631,plain,
% 83.12/52.70 (v129(constB110, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15630, 15626])).
% 83.12/52.70 tff(15632,plain,
% 83.12/52.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15633,plain,
% 83.12/52.70 ((v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0))) <=> (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15634,plain,
% 83.12/52.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15633])).
% 83.12/52.70 tff(15635,plain,
% 83.12/52.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15634, 15632])).
% 83.12/52.70 tff(15636,plain,
% 83.12/52.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15637,plain,
% 83.12/52.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 83.12/52.70 tff(15638,plain,
% 83.12/52.70 (v90(constB110, 0) | (~v100(constB110))),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15637, 508, 15631])).
% 83.12/52.70 tff(15639,plain,
% 83.12/52.70 (v90(constB110, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15638, 15510])).
% 83.12/52.70 tff(15640,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15641,plain,
% 83.12/52.70 (((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)) <=> ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15642,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15641])).
% 83.12/52.70 tff(15643,plain,
% 83.12/52.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15642, 15640])).
% 83.12/52.70 tff(15644,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15645,plain,
% 83.12/52.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 83.12/52.70 tff(15646,plain,
% 83.12/52.70 ((~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15645, 526, 15562])).
% 83.12/52.70 tff(15647,plain,
% 83.12/52.70 ((~v90(constB110, 0)) | v90(constB111, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15646, 15574])).
% 83.12/52.70 tff(15648,plain,
% 83.12/52.70 (v90(constB111, 0)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15647, 15639])).
% 83.12/52.70 tff(15649,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15650,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15651,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111)),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 83.12/52.70 tff(15652,plain,
% 83.12/52.70 (v120(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15651, 614, 15648, 15617, 15583])).
% 83.12/52.70 tff(15653,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15654,plain,
% 83.12/52.70 (((~v120(constB111)) | v118(constB111)) <=> (v118(constB111) | (~v120(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15655,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15654])).
% 83.12/52.70 tff(15656,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15655, 15653])).
% 83.12/52.70 tff(15657,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15658,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 83.12/52.70 tff(15659,plain,
% 83.12/52.70 (v118(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15658, 628, 15652])).
% 83.12/52.70 tff(15660,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15661,plain,
% 83.12/52.70 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15662,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15661])).
% 83.12/52.70 tff(15663,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15662, 15660])).
% 83.12/52.70 tff(15664,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15665,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15664, 15663])).
% 83.12/52.70 tff(15666,plain,
% 83.12/52.70 (v117(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15665, 186, 15659])).
% 83.12/52.70 tff(15667,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15668,plain,
% 83.12/52.70 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15669,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15668])).
% 83.12/52.70 tff(15670,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15669, 15667])).
% 83.12/52.70 tff(15671,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15672,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15671, 15670])).
% 83.12/52.70 tff(15673,plain,
% 83.12/52.70 (v116(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15672, 200, 15666])).
% 83.12/52.70 tff(15674,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15675,plain,
% 83.12/52.70 (((~v116(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v116(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15676,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15675])).
% 83.12/52.70 tff(15677,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15676, 15674])).
% 83.12/52.70 tff(15678,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15679,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 83.12/52.70 tff(15680,plain,
% 83.12/52.70 (v115(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15679, 214, 15673])).
% 83.12/52.70 tff(15681,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15682,plain,
% 83.12/52.70 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15683,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 83.12/52.70 inference(monotonicity,[status(thm)],[15682])).
% 83.12/52.70 tff(15684,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 83.12/52.70 inference(transitivity,[status(thm)],[15683, 15681])).
% 83.12/52.70 tff(15685,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 83.12/52.70 inference(quant_inst,[status(thm)],[])).
% 83.12/52.70 tff(15686,plain,
% 83.12/52.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 83.12/52.70 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 83.12/52.70 tff(15687,plain,
% 83.12/52.70 (v114(constB111)),
% 83.12/52.70 inference(unit_resolution,[status(thm)],[15686, 228, 15680])).
% 83.12/52.70 tff(15688,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15689,plain,
% 83.12/52.70 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 83.12/52.70 inference(rewrite,[status(thm)],[])).
% 83.12/52.70 tff(15690,plain,
% 83.12/52.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15689])).
% 83.12/52.71 tff(15691,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15690, 15688])).
% 83.12/52.71 tff(15692,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15693,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 83.12/52.71 tff(15694,plain,
% 83.12/52.71 (v113(constB111)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15693, 242, 15687])).
% 83.12/52.71 tff(15695,assumption,(v26(constB111)), introduced(assumption)).
% 83.12/52.71 tff(15696,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15697,plain,
% 83.12/52.71 ($false),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15696, 19, 15695])).
% 83.12/52.71 tff(15698,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 83.12/52.71 tff(15699,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15700,plain,
% 83.12/52.71 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15701,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15700])).
% 83.12/52.71 tff(15702,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15701, 15699])).
% 83.12/52.71 tff(15703,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15704,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15703, 15702])).
% 83.12/52.71 tff(15705,plain,
% 83.12/52.71 (v112(constB111) | (~v113(constB111))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15704, 256, 15698])).
% 83.12/52.71 tff(15706,plain,
% 83.12/52.71 (v112(constB111)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15705, 15694])).
% 83.12/52.71 tff(15707,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15708,plain,
% 83.12/52.71 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15709,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15708])).
% 83.12/52.71 tff(15710,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15709, 15707])).
% 83.12/52.71 tff(15711,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15712,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 83.12/52.71 tff(15713,plain,
% 83.12/52.71 (v108(constB111)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15712, 268, 15706])).
% 83.12/52.71 tff(15714,plain,
% 83.12/52.71 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15715,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 83.12/52.71 tff(15716,plain,
% 83.12/52.71 (nextState(constB111, constB112)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 83.12/52.71 tff(15717,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15718,plain,
% 83.12/52.71 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15719,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15718])).
% 83.12/52.71 tff(15720,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15719, 15717])).
% 83.12/52.71 tff(15721,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15722,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15721, 15720])).
% 83.12/52.71 tff(15723,plain,
% 83.12/52.71 (v110(constB112) | (~v108(constB111))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15722, 288, 15716])).
% 83.12/52.71 tff(15724,plain,
% 83.12/52.71 (v110(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15723, 15713])).
% 83.12/52.71 tff(15725,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15726,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15727,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15726, 15725])).
% 83.12/52.71 tff(15728,plain,
% 83.12/52.71 (~v104(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15727, 306, 15716, 15559])).
% 83.12/52.71 tff(15729,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15730,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15731,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15730, 15729])).
% 83.12/52.71 tff(15732,plain,
% 83.12/52.71 (v102(constB112) | v104(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15731, 320, 15716])).
% 83.12/52.71 tff(15733,plain,
% 83.12/52.71 (v102(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15732, 15728])).
% 83.12/52.71 tff(15734,plain,
% 83.12/52.71 (v1(constB112) <=> v1(constB112)),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15735,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 83.12/52.71 tff(15736,plain,
% 83.12/52.71 (v1(constB112)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 83.12/52.71 tff(15737,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15738,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15739,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15738, 15737])).
% 83.12/52.71 tff(15740,plain,
% 83.12/52.71 (v101(constB112) | (~v102(constB112))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15739, 338, 15716, 15736])).
% 83.12/52.71 tff(15741,plain,
% 83.12/52.71 (v101(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15740, 15733])).
% 83.12/52.71 tff(15742,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15743,plain,
% 83.12/52.71 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15744,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15743])).
% 83.12/52.71 tff(15745,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15744, 15742])).
% 83.12/52.71 tff(15746,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15747,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15746, 15745])).
% 83.12/52.71 tff(15748,plain,
% 83.12/52.71 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15747, 353, 15716])).
% 83.12/52.71 tff(15749,plain,
% 83.12/52.71 (v100(constB112) | (~v110(constB112))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15748, 15741])).
% 83.12/52.71 tff(15750,plain,
% 83.12/52.71 (v100(constB112)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15749, 15724])).
% 83.12/52.71 tff(15751,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15752,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15753,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 83.12/52.71 tff(15754,plain,
% 83.12/52.71 (~v130(constB111, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15753, 744, 15652])).
% 83.12/52.71 tff(15755,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15756,plain,
% 83.12/52.71 ((v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2))) <=> ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15757,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15756])).
% 83.12/52.71 tff(15758,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15757, 15755])).
% 83.12/52.71 tff(15759,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15760,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 83.12/52.71 tff(15761,plain,
% 83.12/52.71 ((~v127(constB111, 2)) | v130(constB111, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15760, 556, 15698])).
% 83.12/52.71 tff(15762,plain,
% 83.12/52.71 (~v127(constB111, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15761, 15754])).
% 83.12/52.71 tff(15763,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15764,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15765,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 83.12/52.71 tff(15766,plain,
% 83.12/52.71 (v127(constB111, 2) | (~v129(constB112, 2))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15765, 574, 15716])).
% 83.12/52.71 tff(15767,plain,
% 83.12/52.71 (~v129(constB112, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15766, 15762])).
% 83.12/52.71 tff(15768,plain,
% 83.12/52.71 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15769,plain,
% 83.12/52.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15770,plain,
% 83.12/52.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15769, 15768])).
% 83.12/52.71 tff(15771,plain,
% 83.12/52.71 ((~v90(constB112, 2)) | (~v100(constB112))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15770, 589, 15767])).
% 83.12/52.71 tff(15772,plain,
% 83.12/52.71 (~v90(constB112, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15771, 15750])).
% 83.12/52.71 tff(15773,plain,
% 83.12/52.71 ((~v1(constB113)) <=> (~v1(constB113))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15774,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 83.12/52.71 tff(15775,plain,
% 83.12/52.71 (~v1(constB113)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 83.12/52.71 tff(15776,plain,
% 83.12/52.71 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15777,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 83.12/52.71 tff(15778,plain,
% 83.12/52.71 (nextState(constB112, constB113)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15777, 15776])).
% 83.12/52.71 tff(15779,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15780,plain,
% 83.12/52.71 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15781,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15780])).
% 83.12/52.71 tff(15782,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15781, 15779])).
% 83.12/52.71 tff(15783,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15784,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 83.12/52.71 tff(15785,plain,
% 83.12/52.71 (~v101(constB113)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15784, 66, 15778, 15775])).
% 83.12/52.71 tff(15786,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15787,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15788,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 83.12/52.71 tff(15789,plain,
% 83.12/52.71 (v101(constB113) | (~v100(constB113))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15788, 83, 15778])).
% 83.12/52.71 tff(15790,plain,
% 83.12/52.71 (~v100(constB113)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15789, 15785])).
% 83.12/52.71 tff(15791,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15792,plain,
% 83.12/52.71 (((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))) <=> (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15793,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15792])).
% 83.12/52.71 tff(15794,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15793, 15791])).
% 83.12/52.71 tff(15795,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15796,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 83.12/52.71 tff(15797,plain,
% 83.12/52.71 (v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15796, 98, 15778])).
% 83.12/52.71 tff(15798,plain,
% 83.12/52.71 (v90(constB112, 2) | (~v90(constB113, 2))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15797, 15790])).
% 83.12/52.71 tff(15799,plain,
% 83.12/52.71 (~v90(constB113, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15798, 15772])).
% 83.12/52.71 tff(15800,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15801,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB113, 2)) | v90(constB113, 2))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15802,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB113, 2)) | v90(constB113, 2)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 83.12/52.71 tff(15803,plain,
% 83.12/52.71 (~v88(constB113, 2)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15802, 3360, 15799])).
% 83.12/52.71 tff(15804,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15805,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15806,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 83.12/52.71 tff(15807,plain,
% 83.12/52.71 (~v130(constB111, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15806, 882, 15652])).
% 83.12/52.71 tff(15808,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15809,plain,
% 83.12/52.71 ((v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0))) <=> ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15810,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15809])).
% 83.12/52.71 tff(15811,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15810, 15808])).
% 83.12/52.71 tff(15812,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15813,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 83.12/52.71 tff(15814,plain,
% 83.12/52.71 ((~v127(constB111, 0)) | v130(constB111, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15813, 896, 15698])).
% 83.12/52.71 tff(15815,plain,
% 83.12/52.71 (~v127(constB111, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15814, 15807])).
% 83.12/52.71 tff(15816,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15817,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15818,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 83.12/52.71 tff(15819,plain,
% 83.12/52.71 (v127(constB111, 0) | (~v129(constB112, 0))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15818, 914, 15716])).
% 83.12/52.71 tff(15820,plain,
% 83.12/52.71 (~v129(constB112, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15819, 15815])).
% 83.12/52.71 tff(15821,plain,
% 83.12/52.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15822,plain,
% 83.12/52.71 (((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0)) <=> ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15823,plain,
% 83.12/52.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15822])).
% 83.12/52.71 tff(15824,plain,
% 83.12/52.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15823, 15821])).
% 83.12/52.71 tff(15825,plain,
% 83.12/52.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15826,plain,
% 83.12/52.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 83.12/52.71 tff(15827,plain,
% 83.12/52.71 ((~v90(constB112, 0)) | (~v100(constB112))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15826, 929, 15820])).
% 83.12/52.71 tff(15828,plain,
% 83.12/52.71 (~v90(constB112, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15827, 15750])).
% 83.12/52.71 tff(15829,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15830,plain,
% 83.12/52.71 (((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))) <=> (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15831,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))))),
% 83.12/52.71 inference(monotonicity,[status(thm)],[15830])).
% 83.12/52.71 tff(15832,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 83.12/52.71 inference(transitivity,[status(thm)],[15831, 15829])).
% 83.12/52.71 tff(15833,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15834,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15833, 15832])).
% 83.12/52.71 tff(15835,plain,
% 83.12/52.71 (v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15834, 140, 15778])).
% 83.12/52.71 tff(15836,plain,
% 83.12/52.71 (v90(constB112, 0) | (~v90(constB113, 0))),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15835, 15790])).
% 83.12/52.71 tff(15837,plain,
% 83.12/52.71 (~v90(constB113, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15836, 15828])).
% 83.12/52.71 tff(15838,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15839,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB113, 0)) | v90(constB113, 0))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15840,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB113, 0)) | v90(constB113, 0)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 83.12/52.71 tff(15841,plain,
% 83.12/52.71 (~v88(constB113, 0)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15840, 3705, 15837])).
% 83.12/52.71 tff(15842,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15843,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15844,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 83.12/52.71 tff(15845,plain,
% 83.12/52.71 (v130(constB111, 1)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15844, 804, 15652])).
% 83.12/52.71 tff(15846,plain,
% 83.12/52.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15847,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15848,plain,
% 83.12/52.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 83.12/52.71 tff(15849,plain,
% 83.12/52.71 ((~v130(constB111, 1)) | v127(constB111, 1)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15848, 818, 15698])).
% 83.12/52.71 tff(15850,plain,
% 83.12/52.71 (v127(constB111, 1)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15849, 15845])).
% 83.12/52.71 tff(15851,plain,
% 83.12/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15852,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 83.12/52.71 inference(quant_inst,[status(thm)],[])).
% 83.12/52.71 tff(15853,plain,
% 83.12/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1)),
% 83.12/52.71 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 83.12/52.71 tff(15854,plain,
% 83.12/52.71 ((~v127(constB111, 1)) | v129(constB112, 1)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15853, 833, 15716])).
% 83.12/52.71 tff(15855,plain,
% 83.12/52.71 (v129(constB112, 1)),
% 83.12/52.71 inference(unit_resolution,[status(thm)],[15854, 15850])).
% 83.12/52.71 tff(15856,plain,
% 83.12/52.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 83.12/52.71 inference(rewrite,[status(thm)],[])).
% 83.12/52.71 tff(15857,plain,
% 83.12/52.71 ((v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1))) <=> (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 83.15/52.71 inference(rewrite,[status(thm)],[])).
% 83.15/52.71 tff(15858,plain,
% 83.15/52.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))))),
% 83.15/52.71 inference(monotonicity,[status(thm)],[15857])).
% 83.15/52.71 tff(15859,plain,
% 83.15/52.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 83.15/52.71 inference(transitivity,[status(thm)],[15858, 15856])).
% 83.15/52.71 tff(15860,plain,
% 83.15/52.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))),
% 83.15/52.71 inference(quant_inst,[status(thm)],[])).
% 83.15/52.71 tff(15861,plain,
% 83.15/52.71 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))),
% 83.15/52.71 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 83.15/52.71 tff(15862,plain,
% 83.15/52.71 (v90(constB112, 1) | (~v100(constB112))),
% 83.15/52.71 inference(unit_resolution,[status(thm)],[15861, 848, 15855])).
% 83.15/52.71 tff(15863,plain,
% 83.15/52.71 (v90(constB112, 1)),
% 83.15/52.71 inference(unit_resolution,[status(thm)],[15862, 15750])).
% 83.15/52.71 tff(15864,plain,
% 83.15/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 83.15/52.71 inference(rewrite,[status(thm)],[])).
% 83.15/52.71 tff(15865,plain,
% 83.15/52.71 (((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)) <=> ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 83.15/52.71 inference(rewrite,[status(thm)],[])).
% 83.15/52.71 tff(15866,plain,
% 83.15/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)))),
% 83.15/52.71 inference(monotonicity,[status(thm)],[15865])).
% 83.15/52.71 tff(15867,plain,
% 83.15/52.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 83.15/52.71 inference(transitivity,[status(thm)],[15866, 15864])).
% 83.15/52.71 tff(15868,plain,
% 83.15/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))),
% 83.15/52.71 inference(quant_inst,[status(thm)],[])).
% 83.15/52.71 tff(15869,plain,
% 83.15/52.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 83.15/52.72 tff(15870,plain,
% 83.15/52.72 ((~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15869, 866, 15778])).
% 83.15/52.72 tff(15871,plain,
% 83.15/52.72 ((~v90(constB112, 1)) | v90(constB113, 1)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15870, 15790])).
% 83.15/52.72 tff(15872,plain,
% 83.15/52.72 (v90(constB113, 1)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15871, 15863])).
% 83.15/52.72 tff(15873,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15874,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB113, 1)) | v88(constB113, 1))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15875,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB113, 1)) | v88(constB113, 1)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 83.15/52.72 tff(15876,plain,
% 83.15/52.72 (v88(constB113, 1)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15875, 3727, 15872])).
% 83.15/52.72 tff(15877,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15878,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15877])).
% 83.15/52.72 tff(15879,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15880,plain,
% 83.15/52.72 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15881,plain,
% 83.15/52.72 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15880])).
% 83.15/52.72 tff(15882,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 83.15/52.72 tff(15883,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 83.15/52.72 tff(15884,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15883, 15879])).
% 83.15/52.72 tff(15885,plain,(
% 83.15/52.72 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15884])).
% 83.15/52.72 tff(15886,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15885, 15878])).
% 83.15/52.72 tff(15887,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15888,plain,
% 83.15/52.72 ((v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113)) <=> (v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15889,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0)))),
% 83.15/52.72 inference(monotonicity,[status(thm)],[15888])).
% 83.15/52.72 tff(15890,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0))),
% 83.15/52.72 inference(transitivity,[status(thm)],[15889, 15887])).
% 83.15/52.72 tff(15891,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB113, 2) | (~v88(constB113, 1)) | v88(constB113, 0) | v143(constB113))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15892,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB113, 2) | v143(constB113) | (~v88(constB113, 1)) | v88(constB113, 0)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15891, 15890])).
% 83.15/52.72 tff(15893,plain,
% 83.15/52.72 (v143(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15892, 15886, 15876, 15841, 15803])).
% 83.15/52.72 tff(15894,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15895,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15894])).
% 83.15/52.72 tff(15896,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15897,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 83.15/52.72 tff(15898,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15897, 15896])).
% 83.15/52.72 tff(15899,plain,(
% 83.15/52.72 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15898])).
% 83.15/52.72 tff(15900,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15899, 15895])).
% 83.15/52.72 tff(15901,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB113) | (~v143(constB113)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15902,plain,
% 83.15/52.72 (((~v143(constB113)) | v142(constB113)) <=> (v142(constB113) | (~v143(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15903,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB113) | (~v143(constB113))))),
% 83.15/52.72 inference(monotonicity,[status(thm)],[15902])).
% 83.15/52.72 tff(15904,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113)))),
% 83.15/52.72 inference(transitivity,[status(thm)],[15903, 15901])).
% 83.15/52.72 tff(15905,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB113)) | v142(constB113))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15906,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB113) | (~v143(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15905, 15904])).
% 83.15/52.72 tff(15907,plain,
% 83.15/52.72 (v142(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15906, 15900, 15893])).
% 83.15/52.72 tff(15908,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v148(VarCurr)) <=> ((~v142(VarCurr)) | v148(VarCurr)))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15909,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15908])).
% 83.15/52.72 tff(15910,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15911,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 83.15/52.72 tff(15912,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 83.15/52.72 tff(15913,plain,(
% 83.15/52.72 ![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15912])).
% 83.15/52.72 tff(15914,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15913, 15909])).
% 83.15/52.72 tff(15915,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB113)) | v148(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB113)) | v148(constB113))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15916,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB113)) | v148(constB113))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15917,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB113)) | v148(constB113)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 83.15/52.72 tff(15918,plain,
% 83.15/52.72 (v148(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15917, 15914, 15907])).
% 83.15/52.72 tff(15919,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB113)) | v227(constB113))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB113)) | v227(constB113))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15920,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB113)) | v227(constB113))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15921,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB113)) | v227(constB113)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 83.15/52.72 tff(15922,plain,
% 83.15/52.72 (v227(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15921, 3766, 15907])).
% 83.15/52.72 tff(15923,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB113) | (~v227(constB113)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB113) | (~v227(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15924,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB113) | (~v227(constB113)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15925,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB113) | (~v227(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 83.15/52.72 tff(15926,plain,
% 83.15/52.72 (v226(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15925, 3517, 15922])).
% 83.15/52.72 tff(15927,plain,
% 83.15/52.72 (^[VarNext: state_type] : refl(((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext))) <=> ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15928,plain,
% 83.15/52.72 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15927])).
% 83.15/52.72 tff(15929,plain,
% 83.15/52.72 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15930,plain,
% 83.15/52.72 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v148(VarNext))) <=> ((~v148(VarNext)) | (~v226(VarNext)))), ((((~v226(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> (((~v148(VarNext)) | (~v226(VarNext))) | v86(VarNext)))), rewrite((((~v148(VarNext)) | (~v226(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))), ((((~v226(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15931,plain,
% 83.15/52.72 (![VarNext: state_type] : (((~v226(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15930])).
% 83.15/52.72 tff(15932,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v148(VarNext))) | v86(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 83.15/52.72 tff(15933,plain,
% 83.15/52.72 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 83.15/52.72 tff(15934,plain,
% 83.15/52.72 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15933, 15929])).
% 83.15/52.72 tff(15935,plain,(
% 83.15/52.72 ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15934])).
% 83.15/52.72 tff(15936,plain,
% 83.15/52.72 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15935, 15928])).
% 83.15/52.72 tff(15937,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB113) | (~v148(constB113)) | (~v226(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v226(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15938,plain,
% 83.15/52.72 (((~v148(constB113)) | v86(constB113) | (~v226(constB113))) <=> (v86(constB113) | (~v148(constB113)) | (~v226(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15939,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v226(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB113) | (~v148(constB113)) | (~v226(constB113))))),
% 83.15/52.72 inference(monotonicity,[status(thm)],[15938])).
% 83.15/52.72 tff(15940,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v226(constB113)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v226(constB113)))),
% 83.15/52.72 inference(transitivity,[status(thm)],[15939, 15937])).
% 83.15/52.72 tff(15941,plain,
% 83.15/52.72 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB113)) | v86(constB113) | (~v226(constB113)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15942,plain,
% 83.15/52.72 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB113) | (~v148(constB113)) | (~v226(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 83.15/52.72 tff(15943,plain,
% 83.15/52.72 (v86(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15942, 15936, 15926, 15918])).
% 83.15/52.72 tff(15944,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl(((~v295(VarCurr)) | (~v86(VarCurr))) <=> ((~v295(VarCurr)) | (~v86(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15945,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15944])).
% 83.15/52.72 tff(15946,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15947,axiom,(![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_2')).
% 83.15/52.72 tff(15948,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15947, 15946])).
% 83.15/52.72 tff(15949,plain,(
% 83.15/52.72 ![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15948])).
% 83.15/52.72 tff(15950,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15949, 15945])).
% 83.15/52.72 tff(15951,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB113)) | (~v86(constB113)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB113)) | (~v86(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15952,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB113)) | (~v86(constB113)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15953,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB113)) | (~v86(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 83.15/52.72 tff(15954,plain,
% 83.15/52.72 (~v295(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15953, 15950, 15943])).
% 83.15/52.72 tff(15955,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl((v295(VarCurr) | (~v294(VarCurr))) <=> (v295(VarCurr) | (~v294(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15956,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr))) <=> ![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15955])).
% 83.15/52.72 tff(15957,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr))) <=> ![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15958,plain,
% 83.15/52.72 (^[VarCurr: state_type] : rewrite(((~v294(VarCurr)) | v295(VarCurr)) <=> (v295(VarCurr) | (~v294(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15959,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v294(VarCurr)) | v295(VarCurr)) <=> ![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15958])).
% 83.15/52.72 tff(15960,axiom,(![VarCurr: state_type] : ((~v294(VarCurr)) | v295(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_82_1_1_1_1')).
% 83.15/52.72 tff(15961,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 83.15/52.72 tff(15962,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15961, 15957])).
% 83.15/52.72 tff(15963,plain,(
% 83.15/52.72 ![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15962])).
% 83.15/52.72 tff(15964,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15963, 15956])).
% 83.15/52.72 tff(15965,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB113) | (~v294(constB113)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB113) | (~v294(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15966,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB113) | (~v294(constB113)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15967,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB113) | (~v294(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15966, 15965])).
% 83.15/52.72 tff(15968,plain,
% 83.15/52.72 (~v294(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15967, 15964, 15954])).
% 83.15/52.72 tff(15969,plain,
% 83.15/52.72 (^[VarCurr: state_type] : refl((v294(VarCurr) | (~v293(VarCurr))) <=> (v294(VarCurr) | (~v293(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15970,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15969])).
% 83.15/52.72 tff(15971,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr))) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15972,plain,
% 83.15/52.72 (^[VarCurr: state_type] : rewrite(((~v293(VarCurr)) | v294(VarCurr)) <=> (v294(VarCurr) | (~v293(VarCurr))))),
% 83.15/52.72 inference(bind,[status(th)],[])).
% 83.15/52.72 tff(15973,plain,
% 83.15/52.72 (![VarCurr: state_type] : ((~v293(VarCurr)) | v294(VarCurr)) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(quant_intro,[status(thm)],[15972])).
% 83.15/52.72 tff(15974,axiom,(![VarCurr: state_type] : ((~v293(VarCurr)) | v294(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_83_1_1_1_1')).
% 83.15/52.72 tff(15975,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 83.15/52.72 tff(15976,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15975, 15971])).
% 83.15/52.72 tff(15977,plain,(
% 83.15/52.72 ![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(skolemize,[status(sab)],[15976])).
% 83.15/52.72 tff(15978,plain,
% 83.15/52.72 (![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15977, 15970])).
% 83.15/52.72 tff(15979,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB113) | (~v293(constB113)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB113) | (~v293(constB113)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15980,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB113) | (~v293(constB113)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15981,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB113) | (~v293(constB113))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 83.15/52.72 tff(15982,plain,
% 83.15/52.72 (~v293(constB113)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15981, 15978, 15968])).
% 83.15/52.72 tff(15983,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15984,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB109, 0)) | v90(constB109, 0))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15985,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB109, 0)) | v90(constB109, 0)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 83.15/52.72 tff(15986,plain,
% 83.15/52.72 (~v88(constB109, 0)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15985, 3705, 15449])).
% 83.15/52.72 tff(15987,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15988,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB109, 2)) | v88(constB109, 2))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15989,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB109, 2)) | v88(constB109, 2)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15988, 15987])).
% 83.15/52.72 tff(15990,plain,
% 83.15/52.72 (v88(constB109, 2)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15989, 3716, 15384])).
% 83.15/52.72 tff(15991,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15992,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB109, 1)) | v88(constB109, 1))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(15993,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB109, 1)) | v88(constB109, 1)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 83.15/52.72 tff(15994,plain,
% 83.15/52.72 (v88(constB109, 1)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[15993, 3727, 15415])).
% 83.15/52.72 tff(15995,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15996,plain,
% 83.15/52.72 (((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109)) <=> ((~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(15997,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0)))),
% 83.15/52.72 inference(monotonicity,[status(thm)],[15996])).
% 83.15/52.72 tff(15998,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0))),
% 83.15/52.72 inference(transitivity,[status(thm)],[15997, 15995])).
% 83.15/52.72 tff(15999,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB109, 2)) | (~v88(constB109, 1)) | v88(constB109, 0) | v144(constB109))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16000,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB109, 2)) | v144(constB109) | (~v88(constB109, 1)) | v88(constB109, 0)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[15999, 15998])).
% 83.15/52.72 tff(16001,plain,
% 83.15/52.72 (v144(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16000, 3741, 15994, 15990, 15986])).
% 83.15/52.72 tff(16002,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16003,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB109)) | v142(constB109))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16004,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB109)) | v142(constB109)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 83.15/52.72 tff(16005,plain,
% 83.15/52.72 (v142(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16004, 3755, 16001])).
% 83.15/52.72 tff(16006,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB109)) | v227(constB109))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB109)) | v227(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16007,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB109)) | v227(constB109))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16008,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB109)) | v227(constB109)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 83.15/52.72 tff(16009,plain,
% 83.15/52.72 (v227(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16008, 3766, 16005])).
% 83.15/52.72 tff(16010,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB109) | (~v227(constB109)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB109) | (~v227(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16011,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB109) | (~v227(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16012,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB109) | (~v227(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 83.15/52.72 tff(16013,plain,
% 83.15/52.72 (v226(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16012, 3517, 16009])).
% 83.15/52.72 tff(16014,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16015,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB109)) | (~v88(constB109, 1)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16016,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB109)) | (~v88(constB109, 1))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 83.15/52.72 tff(16017,plain,
% 83.15/52.72 (~v139(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16016, 3958, 15994])).
% 83.15/52.72 tff(16018,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16019,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB109)) | (~v88(constB109, 1)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16020,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB109)) | (~v88(constB109, 1))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 83.15/52.72 tff(16021,plain,
% 83.15/52.72 (~v140(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16020, 3969, 15994])).
% 83.15/52.72 tff(16022,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16023,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16024,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 83.15/52.72 tff(16025,plain,
% 83.15/52.72 (~v168(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16024, 3983, 16021, 16017])).
% 83.15/52.72 tff(16026,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB109)) | (~v226(constB109)) | v168(constB109))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v226(constB109)) | v168(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16027,plain,
% 83.15/52.72 (((~v226(constB109)) | v168(constB109) | (~v161(constB109))) <=> ((~v161(constB109)) | (~v226(constB109)) | v168(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16028,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB109)) | v168(constB109) | (~v161(constB109)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB109)) | (~v226(constB109)) | v168(constB109)))),
% 83.15/52.72 inference(monotonicity,[status(thm)],[16027])).
% 83.15/52.72 tff(16029,plain,
% 83.15/52.72 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB109)) | v168(constB109) | (~v161(constB109)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v226(constB109)) | v168(constB109))),
% 83.15/52.72 inference(transitivity,[status(thm)],[16028, 16026])).
% 83.15/52.72 tff(16030,plain,
% 83.15/52.72 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB109)) | v168(constB109) | (~v161(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16031,plain,
% 83.15/52.72 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB109)) | (~v226(constB109)) | v168(constB109)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 83.15/52.72 tff(16032,plain,
% 83.15/52.72 ((~v161(constB109)) | (~v226(constB109))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16031, 3997, 16025])).
% 83.15/52.72 tff(16033,plain,
% 83.15/52.72 (~v161(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16032, 16013])).
% 83.15/52.72 tff(16034,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB109) | (~v187(constB109)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB109) | (~v187(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16035,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB109) | (~v187(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16036,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB109) | (~v187(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 83.15/52.72 tff(16037,plain,
% 83.15/52.72 (~v187(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16036, 4015, 16033])).
% 83.15/52.72 tff(16038,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16039,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB109) | (~v185(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16040,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB109) | (~v185(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 83.15/52.72 tff(16041,plain,
% 83.15/52.72 (~v185(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16040, 4029, 16037])).
% 83.15/52.72 tff(16042,assumption,(v18(constB110)), introduced(assumption)).
% 83.15/52.72 tff(16043,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16044,plain,
% 83.15/52.72 ($false),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16043, 3600, 16042])).
% 83.15/52.72 tff(16045,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.72 tff(16046,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16047,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16048,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 83.15/52.72 tff(16049,plain,
% 83.15/52.72 (v22(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16048, 3613, 15496])).
% 83.15/52.72 tff(16050,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16051,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16052,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16051, 16050])).
% 83.15/52.72 tff(16053,plain,
% 83.15/52.72 (v18(constB110) | (~v19(constB110))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16052, 3627, 16049])).
% 83.15/52.72 tff(16054,plain,
% 83.15/52.72 (~v19(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16053, 16045])).
% 83.15/52.72 tff(16055,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16056,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16057,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 83.15/52.72 tff(16058,plain,
% 83.15/52.72 (v13(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16057, 3639, 16054])).
% 83.15/52.72 tff(16059,plain,
% 83.15/52.72 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16060,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16061,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 83.15/52.72 tff(16062,plain,
% 83.15/52.72 (v9(constB109) | (~v13(constB110))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16061, 3653, 15476])).
% 83.15/52.72 tff(16063,plain,
% 83.15/52.72 (v9(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16062, 16058])).
% 83.15/52.72 tff(16064,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16065,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v184(constB109))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16066,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB109) | (~v9(constB109)) | v184(constB109)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 83.15/52.72 tff(16067,plain,
% 83.15/52.72 ((~v9(constB109)) | v184(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16066, 3668, 15360])).
% 83.15/52.72 tff(16068,plain,
% 83.15/52.72 (v184(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16067, 16063])).
% 83.15/52.72 tff(16069,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB109)) | v183(constB109))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB109)) | v183(constB109))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16070,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB109)) | v183(constB109))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16071,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB109)) | v183(constB109)),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 83.15/52.72 tff(16072,plain,
% 83.15/52.72 (v183(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16071, 3680, 16068])).
% 83.15/52.72 tff(16073,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB109)) | (~v183(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16074,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB109)) | (~v183(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16075,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB109)) | (~v183(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 83.15/52.72 tff(16076,plain,
% 83.15/52.72 (~v181(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16075, 4247, 16072])).
% 83.15/52.72 tff(16077,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16078,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB109) | v185(constB109) | (~v178(constB109)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16079,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB109) | v185(constB109) | (~v178(constB109))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 83.15/52.72 tff(16080,plain,
% 83.15/52.72 (v185(constB109) | (~v178(constB109))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16079, 4261, 16076])).
% 83.15/52.72 tff(16081,plain,
% 83.15/52.72 (~v178(constB109)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16080, 16041])).
% 83.15/52.72 tff(16082,plain,
% 83.15/52.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16083,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16084,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB109, constB110)) | v178(constB109) | (~v180(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16083, 16082])).
% 83.15/52.72 tff(16085,plain,
% 83.15/52.72 (v178(constB109) | (~v180(constB110))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16084, 4276, 15476])).
% 83.15/52.72 tff(16086,plain,
% 83.15/52.72 (~v180(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16085, 16081])).
% 83.15/52.72 tff(16087,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16088,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB110) | (~v181(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16089,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB110) | (~v181(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16088, 16087])).
% 83.15/52.72 tff(16090,plain,
% 83.15/52.72 (~v181(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16089, 4291, 16086])).
% 83.15/52.72 tff(16091,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16092,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB110)) | (~v184(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16093,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB110)) | (~v184(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 83.15/52.72 tff(16094,plain,
% 83.15/52.72 (~v184(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16093, 3901, 15496])).
% 83.15/52.72 tff(16095,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16096,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB110) | (~v187(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16097,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB110) | (~v187(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 83.15/52.72 tff(16098,plain,
% 83.15/52.72 (~v187(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16097, 4309, 16094])).
% 83.15/52.72 tff(16099,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16100,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB110) | (~v185(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16101,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB110) | (~v185(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 83.15/52.72 tff(16102,plain,
% 83.15/52.72 (~v185(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16101, 4029, 16098])).
% 83.15/52.72 tff(16103,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16104,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB110) | v185(constB110) | (~v178(constB110)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16105,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB110) | v185(constB110) | (~v178(constB110))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 83.15/52.72 tff(16106,plain,
% 83.15/52.72 (v181(constB110) | (~v178(constB110))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16105, 4261, 16102])).
% 83.15/52.72 tff(16107,plain,
% 83.15/52.72 (~v178(constB110)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16106, 16090])).
% 83.15/52.72 tff(16108,plain,
% 83.15/52.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16109,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16110,plain,
% 83.15/52.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB110, constB111)) | v178(constB110) | (~v180(constB111))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 83.15/52.72 tff(16111,plain,
% 83.15/52.72 (v178(constB110) | (~v180(constB111))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16110, 4276, 15562])).
% 83.15/52.72 tff(16112,plain,
% 83.15/52.72 (~v180(constB111)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16111, 16107])).
% 83.15/52.72 tff(16113,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB111) | (~v215(constB111)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB111) | (~v215(constB111)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16114,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB111) | (~v215(constB111)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16115,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB111) | (~v215(constB111))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 83.15/52.72 tff(16116,plain,
% 83.15/52.72 (~v215(constB111)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16115, 4427, 16112])).
% 83.15/52.72 tff(16117,assumption,(v18(constB112)), introduced(assumption)).
% 83.15/52.72 tff(16118,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB112))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16119,plain,
% 83.15/52.72 ($false),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16118, 3600, 16117])).
% 83.15/52.72 tff(16120,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.72 tff(16121,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16122,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16123,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 83.15/52.72 tff(16124,plain,
% 83.15/52.72 (v22(constB112)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16123, 3613, 15736])).
% 83.15/52.72 tff(16125,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16126,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16127,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112))),
% 83.15/52.72 inference(modus_ponens,[status(thm)],[16126, 16125])).
% 83.15/52.72 tff(16128,plain,
% 83.15/52.72 (v18(constB112) | (~v19(constB112))),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16127, 3627, 16124])).
% 83.15/52.72 tff(16129,plain,
% 83.15/52.72 (~v19(constB112)),
% 83.15/52.72 inference(unit_resolution,[status(thm)],[16128, 16120])).
% 83.15/52.72 tff(16130,plain,
% 83.15/52.72 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 83.15/52.72 inference(rewrite,[status(thm)],[])).
% 83.15/52.72 tff(16131,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 83.15/52.72 inference(quant_inst,[status(thm)],[])).
% 83.15/52.72 tff(16132,plain,
% 83.15/52.72 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 83.15/52.73 tff(16133,plain,
% 83.15/52.73 (v13(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16132, 3639, 16129])).
% 83.15/52.73 tff(16134,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16135,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16136,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 83.15/52.73 tff(16137,plain,
% 83.15/52.73 (v9(constB111) | (~v13(constB112))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16136, 3653, 15716])).
% 83.15/52.73 tff(16138,plain,
% 83.15/52.73 (v9(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16137, 16133])).
% 83.15/52.73 tff(16139,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v184(constB111))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB111) | (~v9(constB111)) | v184(constB111))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16140,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v184(constB111))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16141,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB111) | (~v9(constB111)) | v184(constB111)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16140, 16139])).
% 83.15/52.73 tff(16142,plain,
% 83.15/52.73 ((~v9(constB111)) | v184(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16141, 3668, 15559])).
% 83.15/52.73 tff(16143,plain,
% 83.15/52.73 (v184(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16142, 16138])).
% 83.15/52.73 tff(16144,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB111) | (~v184(constB111)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB111) | (~v184(constB111)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16145,plain,
% 83.15/52.73 (((~v184(constB111)) | v183(constB111)) <=> (v183(constB111) | (~v184(constB111)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16146,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB111)) | v183(constB111))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB111) | (~v184(constB111))))),
% 83.15/52.73 inference(monotonicity,[status(thm)],[16145])).
% 83.15/52.73 tff(16147,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB111)) | v183(constB111))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB111) | (~v184(constB111)))),
% 83.15/52.73 inference(transitivity,[status(thm)],[16146, 16144])).
% 83.15/52.73 tff(16148,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB111)) | v183(constB111))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16149,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB111) | (~v184(constB111))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16148, 16147])).
% 83.15/52.73 tff(16150,plain,
% 83.15/52.73 (v183(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16149, 3680, 16143])).
% 83.15/52.73 tff(16151,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB111)) | (~v214(constB111)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB111)) | (~v214(constB111)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16152,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB111)) | (~v214(constB111)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16153,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB111)) | (~v214(constB111))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16152, 16151])).
% 83.15/52.73 tff(16154,plain,
% 83.15/52.73 (~v214(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16153, 4593, 16150])).
% 83.15/52.73 tff(16155,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB111) | v215(constB111) | (~v211(constB111)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB111) | v215(constB111) | (~v211(constB111)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16156,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB111) | v215(constB111) | (~v211(constB111)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16157,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB111) | v215(constB111) | (~v211(constB111))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 83.15/52.73 tff(16158,plain,
% 83.15/52.73 (v215(constB111) | (~v211(constB111))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16157, 4607, 16154])).
% 83.15/52.73 tff(16159,plain,
% 83.15/52.73 (~v211(constB111)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16158, 16116])).
% 83.15/52.73 tff(16160,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB111, constB112)) | v211(constB111) | (~v213(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB111, constB112)) | v211(constB111) | (~v213(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16161,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB111, constB112)) | v211(constB111) | (~v213(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16162,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB111, constB112)) | v211(constB111) | (~v213(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16161, 16160])).
% 83.15/52.73 tff(16163,plain,
% 83.15/52.73 (v211(constB111) | (~v213(constB112))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16162, 4622, 15716])).
% 83.15/52.73 tff(16164,plain,
% 83.15/52.73 (~v213(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16163, 16159])).
% 83.15/52.73 tff(16165,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB112) | (~v214(constB112)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB112) | (~v214(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16166,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB112) | (~v214(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16167,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB112) | (~v214(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 83.15/52.73 tff(16168,plain,
% 83.15/52.73 (~v214(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16167, 4637, 16164])).
% 83.15/52.73 tff(16169,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB112)) | (~v184(constB112)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB112)) | (~v184(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16170,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB112)) | (~v184(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16171,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB112)) | (~v184(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 83.15/52.73 tff(16172,plain,
% 83.15/52.73 (~v184(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16171, 3901, 15736])).
% 83.15/52.73 tff(16173,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB112) | (~v217(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB112) | (~v217(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16174,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB112) | (~v217(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16175,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB112) | (~v217(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 83.15/52.73 tff(16176,plain,
% 83.15/52.73 (~v217(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16175, 4651, 16172])).
% 83.15/52.73 tff(16177,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB112) | (~v216(constB112)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB112) | (~v216(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16178,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB112) | (~v216(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16179,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB112) | (~v216(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 83.15/52.73 tff(16180,plain,
% 83.15/52.73 (~v216(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16179, 4565, 16176])).
% 83.15/52.73 tff(16181,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB112) | (~v215(constB112)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB112) | (~v215(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16182,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB112) | (~v215(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16183,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB112) | (~v215(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 83.15/52.73 tff(16184,plain,
% 83.15/52.73 (~v215(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16183, 4579, 16180])).
% 83.15/52.73 tff(16185,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB112) | v215(constB112) | (~v211(constB112)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB112) | v215(constB112) | (~v211(constB112)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16186,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB112) | v215(constB112) | (~v211(constB112)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16187,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB112) | v215(constB112) | (~v211(constB112))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 83.15/52.73 tff(16188,plain,
% 83.15/52.73 (v214(constB112) | (~v211(constB112))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16187, 4607, 16184])).
% 83.15/52.73 tff(16189,plain,
% 83.15/52.73 (~v211(constB112)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16188, 16168])).
% 83.15/52.73 tff(16190,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB112, constB113)) | v211(constB112) | (~v213(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB112, constB113)) | v211(constB112) | (~v213(constB113)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16191,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB112, constB113)) | v211(constB112) | (~v213(constB113)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16192,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB112, constB113)) | v211(constB112) | (~v213(constB113))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16191, 16190])).
% 83.15/52.73 tff(16193,plain,
% 83.15/52.73 (v211(constB112) | (~v213(constB113))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16192, 4622, 15778])).
% 83.15/52.73 tff(16194,plain,
% 83.15/52.73 (~v213(constB113)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16193, 16189])).
% 83.15/52.73 tff(16195,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB113) | (~v297(constB113)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB113) | (~v297(constB113)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16196,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB113) | (~v297(constB113)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16197,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB113) | (~v297(constB113))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 83.15/52.73 tff(16198,plain,
% 83.15/52.73 (~v297(constB113)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16197, 4767, 16194])).
% 83.15/52.73 tff(16199,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB113) | v297(constB113) | (~v292(constB113)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB113) | v297(constB113) | (~v292(constB113)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16200,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB113) | v297(constB113) | (~v292(constB113)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16201,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB113) | v297(constB113) | (~v292(constB113))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 83.15/52.73 tff(16202,plain,
% 83.15/52.73 (v293(constB113) | (~v292(constB113))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16201, 4781, 16198])).
% 83.15/52.73 tff(16203,plain,
% 83.15/52.73 (~v292(constB113)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16202, 15982])).
% 83.15/52.73 tff(16204,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB107, 2)) | v88(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB107, 2)) | v88(constB107, 2))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16205,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB107, 2)) | v88(constB107, 2))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16206,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB107, 2)) | v88(constB107, 2)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16205, 16204])).
% 83.15/52.73 tff(16207,plain,
% 83.15/52.73 (v88(constB107, 2)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16206, 3716, 15202])).
% 83.15/52.73 tff(16208,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB107)) | (~v88(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB107)) | (~v88(constB107, 2)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16209,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB107)) | (~v88(constB107, 2)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16210,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB107)) | (~v88(constB107, 2))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 83.15/52.73 tff(16211,plain,
% 83.15/52.73 (~v140(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16210, 4044, 16207])).
% 83.15/52.73 tff(16212,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB107, 0)) | v88(constB107, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB107, 0)) | v88(constB107, 0))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16213,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB107, 0)) | v88(constB107, 0))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16214,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB107, 0)) | v88(constB107, 0)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 83.15/52.73 tff(16215,plain,
% 83.15/52.73 (v88(constB107, 0)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16214, 3447, 15267])).
% 83.15/52.73 tff(16216,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB107)) | (~v88(constB107, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB107)) | (~v88(constB107, 0)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16217,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB107)) | (~v88(constB107, 0)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16218,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB107)) | (~v88(constB107, 0))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16217, 16216])).
% 83.15/52.73 tff(16219,plain,
% 83.15/52.73 (~v139(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16218, 4059, 16215])).
% 83.15/52.73 tff(16220,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v168(constB107)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB107) | v140(constB107) | (~v168(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16221,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v168(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16222,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB107) | v140(constB107) | (~v168(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 83.15/52.73 tff(16223,plain,
% 83.15/52.73 (~v168(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16222, 3983, 16219, 16211])).
% 83.15/52.73 tff(16224,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB107, 1)) | v90(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB107, 1)) | v90(constB107, 1))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16225,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB107, 1)) | v90(constB107, 1))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16226,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB107, 1)) | v90(constB107, 1)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16225, 16224])).
% 83.15/52.73 tff(16227,plain,
% 83.15/52.73 (~v88(constB107, 1)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16226, 3405, 15236])).
% 83.15/52.73 tff(16228,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16229,plain,
% 83.15/52.73 (((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107)) <=> (v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16230,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107)))),
% 83.15/52.73 inference(monotonicity,[status(thm)],[16229])).
% 83.15/52.73 tff(16231,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107))),
% 83.15/52.73 inference(transitivity,[status(thm)],[16230, 16228])).
% 83.15/52.73 tff(16232,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16233,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB107, 1) | (~v88(constB107, 2)) | (~v88(constB107, 0)) | v147(constB107)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16232, 16231])).
% 83.15/52.73 tff(16234,plain,
% 83.15/52.73 (v147(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16233, 4081, 16215, 16207, 16227])).
% 83.15/52.73 tff(16235,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB107)) | v145(constB107))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB107)) | v145(constB107))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16236,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB107)) | v145(constB107))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16237,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB107)) | v145(constB107)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 83.15/52.73 tff(16238,plain,
% 83.15/52.73 (v145(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16237, 4095, 16234])).
% 83.15/52.73 tff(16239,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB107) | (~v145(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16240,plain,
% 83.15/52.73 (((~v145(constB107)) | v226(constB107)) <=> (v226(constB107) | (~v145(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16241,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB107)) | v226(constB107))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB107) | (~v145(constB107))))),
% 83.15/52.73 inference(monotonicity,[status(thm)],[16240])).
% 83.15/52.73 tff(16242,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB107)) | v226(constB107))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB107) | (~v145(constB107)))),
% 83.15/52.73 inference(transitivity,[status(thm)],[16241, 16239])).
% 83.15/52.73 tff(16243,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB107)) | v226(constB107))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16244,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB107) | (~v145(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16243, 16242])).
% 83.15/52.73 tff(16245,plain,
% 83.15/52.73 (v226(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16244, 4106, 16238])).
% 83.15/52.73 tff(16246,plain,
% 83.15/52.73 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB107)) | v168(constB107) | (~v226(constB107)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB107)) | v168(constB107) | (~v226(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16247,plain,
% 83.15/52.73 (((~v226(constB107)) | v168(constB107) | (~v161(constB107))) <=> ((~v161(constB107)) | v168(constB107) | (~v226(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16248,plain,
% 83.15/52.73 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB107)) | v168(constB107) | (~v161(constB107)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB107)) | v168(constB107) | (~v226(constB107))))),
% 83.15/52.73 inference(monotonicity,[status(thm)],[16247])).
% 83.15/52.73 tff(16249,plain,
% 83.15/52.73 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB107)) | v168(constB107) | (~v161(constB107)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB107)) | v168(constB107) | (~v226(constB107)))),
% 83.15/52.73 inference(transitivity,[status(thm)],[16248, 16246])).
% 83.15/52.73 tff(16250,plain,
% 83.15/52.73 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB107)) | v168(constB107) | (~v161(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16251,plain,
% 83.15/52.73 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB107)) | v168(constB107) | (~v226(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 83.15/52.73 tff(16252,plain,
% 83.15/52.73 (~v161(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16251, 3997, 16245, 16223])).
% 83.15/52.73 tff(16253,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB107) | (~v187(constB107)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB107) | (~v187(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16254,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB107) | (~v187(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16255,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB107) | (~v187(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 83.15/52.73 tff(16256,plain,
% 83.15/52.73 (~v187(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16255, 4015, 16252])).
% 83.15/52.73 tff(16257,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16258,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16259,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 83.15/52.73 tff(16260,plain,
% 83.15/52.73 (~v185(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16259, 4029, 16256])).
% 83.15/52.73 tff(16261,assumption,(v18(constB108)), introduced(assumption)).
% 83.15/52.73 tff(16262,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB108))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16263,plain,
% 83.15/52.73 ($false),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16262, 3600, 16261])).
% 83.15/52.73 tff(16264,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.73 tff(16265,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16266,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16267,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 83.15/52.73 tff(16268,plain,
% 83.15/52.73 (v22(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16267, 3613, 15321])).
% 83.15/52.73 tff(16269,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16270,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16271,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 83.15/52.73 tff(16272,plain,
% 83.15/52.73 (v18(constB108) | (~v19(constB108))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16271, 3627, 16268])).
% 83.15/52.73 tff(16273,plain,
% 83.15/52.73 (~v19(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16272, 16264])).
% 83.15/52.73 tff(16274,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16275,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16276,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 83.15/52.73 tff(16277,plain,
% 83.15/52.73 (v13(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16276, 3639, 16273])).
% 83.15/52.73 tff(16278,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16279,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16280,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 83.15/52.73 tff(16281,plain,
% 83.15/52.73 (v9(constB107) | (~v13(constB108))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16280, 3653, 15301])).
% 83.15/52.73 tff(16282,plain,
% 83.15/52.73 (v9(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16281, 16277])).
% 83.15/52.73 tff(16283,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16284,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16285,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107)),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 83.15/52.73 tff(16286,plain,
% 83.15/52.73 ((~v9(constB107)) | v184(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16285, 3668, 15178])).
% 83.15/52.73 tff(16287,plain,
% 83.15/52.73 (v184(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16286, 16282])).
% 83.15/52.73 tff(16288,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB107) | (~v184(constB107)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB107) | (~v184(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16289,plain,
% 83.15/52.73 (((~v184(constB107)) | v183(constB107)) <=> (v183(constB107) | (~v184(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16290,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB107)) | v183(constB107))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB107) | (~v184(constB107))))),
% 83.15/52.73 inference(monotonicity,[status(thm)],[16289])).
% 83.15/52.73 tff(16291,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB107)) | v183(constB107))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB107) | (~v184(constB107)))),
% 83.15/52.73 inference(transitivity,[status(thm)],[16290, 16288])).
% 83.15/52.73 tff(16292,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB107)) | v183(constB107))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16293,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB107) | (~v184(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 83.15/52.73 tff(16294,plain,
% 83.15/52.73 (v183(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16293, 3680, 16287])).
% 83.15/52.73 tff(16295,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16296,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16297,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB107)) | (~v183(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16296, 16295])).
% 83.15/52.73 tff(16298,plain,
% 83.15/52.73 (~v181(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16297, 4247, 16294])).
% 83.15/52.73 tff(16299,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16300,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16301,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16300, 16299])).
% 83.15/52.73 tff(16302,plain,
% 83.15/52.73 (v185(constB107) | (~v178(constB107))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16301, 4261, 16298])).
% 83.15/52.73 tff(16303,plain,
% 83.15/52.73 (~v178(constB107)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16302, 16260])).
% 83.15/52.73 tff(16304,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16305,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16306,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16305, 16304])).
% 83.15/52.73 tff(16307,plain,
% 83.15/52.73 (v178(constB107) | (~v180(constB108))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16306, 4276, 15301])).
% 83.15/52.73 tff(16308,plain,
% 83.15/52.73 (~v180(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16307, 16303])).
% 83.15/52.73 tff(16309,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16310,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16311,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 83.15/52.73 tff(16312,plain,
% 83.15/52.73 (~v181(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16311, 4291, 16308])).
% 83.15/52.73 tff(16313,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16314,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16315,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 83.15/52.73 tff(16316,plain,
% 83.15/52.73 (~v184(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16315, 3901, 15321])).
% 83.15/52.73 tff(16317,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16318,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16319,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 83.15/52.73 tff(16320,plain,
% 83.15/52.73 (~v187(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16319, 4309, 16316])).
% 83.15/52.73 tff(16321,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16322,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16323,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 83.15/52.73 tff(16324,plain,
% 83.15/52.73 (~v185(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16323, 4029, 16320])).
% 83.15/52.73 tff(16325,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16326,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16327,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16326, 16325])).
% 83.15/52.73 tff(16328,plain,
% 83.15/52.73 (v181(constB108) | (~v178(constB108))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16327, 4261, 16324])).
% 83.15/52.73 tff(16329,plain,
% 83.15/52.73 (~v178(constB108)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16328, 16312])).
% 83.15/52.73 tff(16330,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16331,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16332,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16331, 16330])).
% 83.15/52.73 tff(16333,plain,
% 83.15/52.73 (v178(constB108) | (~v180(constB109))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16332, 4276, 15363])).
% 83.15/52.73 tff(16334,plain,
% 83.15/52.73 (~v180(constB109)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16333, 16329])).
% 83.15/52.73 tff(16335,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB109) | (~v215(constB109)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB109) | (~v215(constB109)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16336,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB109) | (~v215(constB109)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16337,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB109) | (~v215(constB109))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16336, 16335])).
% 83.15/52.73 tff(16338,plain,
% 83.15/52.73 (~v215(constB109)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16337, 4427, 16334])).
% 83.15/52.73 tff(16339,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB109)) | (~v214(constB109)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB109)) | (~v214(constB109)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16340,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB109)) | (~v214(constB109)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16341,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB109)) | (~v214(constB109))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16340, 16339])).
% 83.15/52.73 tff(16342,plain,
% 83.15/52.73 (~v214(constB109)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16341, 4593, 16072])).
% 83.15/52.73 tff(16343,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB109) | v215(constB109) | (~v211(constB109)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB109) | v215(constB109) | (~v211(constB109)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16344,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB109) | v215(constB109) | (~v211(constB109)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16345,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB109) | v215(constB109) | (~v211(constB109))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16344, 16343])).
% 83.15/52.73 tff(16346,plain,
% 83.15/52.73 (v215(constB109) | (~v211(constB109))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16345, 4607, 16342])).
% 83.15/52.73 tff(16347,plain,
% 83.15/52.73 (~v211(constB109)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16346, 16338])).
% 83.15/52.73 tff(16348,plain,
% 83.15/52.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16349,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16350,plain,
% 83.15/52.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB109, constB110)) | v211(constB109) | (~v213(constB110))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 83.15/52.73 tff(16351,plain,
% 83.15/52.73 (v211(constB109) | (~v213(constB110))),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16350, 4622, 15476])).
% 83.15/52.73 tff(16352,plain,
% 83.15/52.73 (~v213(constB110)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16351, 16347])).
% 83.15/52.73 tff(16353,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB110) | (~v214(constB110)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB110) | (~v214(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16354,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB110) | (~v214(constB110)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16355,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB110) | (~v214(constB110))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16354, 16353])).
% 83.15/52.73 tff(16356,plain,
% 83.15/52.73 (~v214(constB110)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16355, 4637, 16352])).
% 83.15/52.73 tff(16357,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB110) | (~v217(constB110)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB110) | (~v217(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16358,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB110) | (~v217(constB110)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16359,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB110) | (~v217(constB110))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 83.15/52.73 tff(16360,plain,
% 83.15/52.73 (~v217(constB110)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16359, 4651, 16094])).
% 83.15/52.73 tff(16361,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB110) | (~v216(constB110)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB110) | (~v216(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16362,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB110) | (~v216(constB110)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16363,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB110) | (~v216(constB110))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16362, 16361])).
% 83.15/52.73 tff(16364,plain,
% 83.15/52.73 (~v216(constB110)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16363, 4565, 16360])).
% 83.15/52.73 tff(16365,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB110) | (~v215(constB110)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB110) | (~v215(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16366,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB110) | (~v215(constB110)))),
% 83.15/52.73 inference(quant_inst,[status(thm)],[])).
% 83.15/52.73 tff(16367,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB110) | (~v215(constB110))),
% 83.15/52.73 inference(modus_ponens,[status(thm)],[16366, 16365])).
% 83.15/52.73 tff(16368,plain,
% 83.15/52.73 (~v215(constB110)),
% 83.15/52.73 inference(unit_resolution,[status(thm)],[16367, 4579, 16364])).
% 83.15/52.73 tff(16369,plain,
% 83.15/52.73 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB110) | v215(constB110) | (~v211(constB110)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB110) | v215(constB110) | (~v211(constB110)))),
% 83.15/52.73 inference(rewrite,[status(thm)],[])).
% 83.15/52.73 tff(16370,plain,
% 83.15/52.73 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB110) | v215(constB110) | (~v211(constB110)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16371,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB110) | v215(constB110) | (~v211(constB110))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 83.15/52.74 tff(16372,plain,
% 83.15/52.74 (v214(constB110) | (~v211(constB110))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16371, 4607, 16368])).
% 83.15/52.74 tff(16373,plain,
% 83.15/52.74 (~v211(constB110)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16372, 16356])).
% 83.15/52.74 tff(16374,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16375,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16376,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB110, constB111)) | v211(constB110) | (~v213(constB111))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 83.15/52.74 tff(16377,plain,
% 83.15/52.74 (v211(constB110) | (~v213(constB111))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16376, 4622, 15562])).
% 83.15/52.74 tff(16378,plain,
% 83.15/52.74 (~v213(constB111)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16377, 16373])).
% 83.15/52.74 tff(16379,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB111) | (~v245(constB111)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB111) | (~v245(constB111)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16380,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB111) | (~v245(constB111)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16381,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB111) | (~v245(constB111))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 83.15/52.74 tff(16382,plain,
% 83.15/52.74 (~v245(constB111)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16381, 4796, 16378])).
% 83.15/52.74 tff(16383,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB111)) | (~v244(constB111)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB111)) | (~v244(constB111)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16384,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB111)) | (~v244(constB111)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16385,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB111)) | (~v244(constB111))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16384, 16383])).
% 83.15/52.74 tff(16386,plain,
% 83.15/52.74 (~v244(constB111)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16385, 4891, 16150])).
% 83.15/52.74 tff(16387,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB111) | v245(constB111) | (~v241(constB111)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB111) | v245(constB111) | (~v241(constB111)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16388,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB111) | v245(constB111) | (~v241(constB111)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16389,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB111) | v245(constB111) | (~v241(constB111))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 83.15/52.74 tff(16390,plain,
% 83.15/52.74 (v245(constB111) | (~v241(constB111))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16389, 4905, 16386])).
% 83.15/52.74 tff(16391,plain,
% 83.15/52.74 (~v241(constB111)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16390, 16382])).
% 83.15/52.74 tff(16392,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16393,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16394,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB111, constB112)) | v241(constB111) | (~v243(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 83.15/52.74 tff(16395,plain,
% 83.15/52.74 (v241(constB111) | (~v243(constB112))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16394, 4920, 15716])).
% 83.15/52.74 tff(16396,plain,
% 83.15/52.74 (~v243(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16395, 16391])).
% 83.15/52.74 tff(16397,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB112) | (~v244(constB112)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB112) | (~v244(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16398,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB112) | (~v244(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16399,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB112) | (~v244(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 83.15/52.74 tff(16400,plain,
% 83.15/52.74 (~v244(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16399, 4935, 16396])).
% 83.15/52.74 tff(16401,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB112) | (~v247(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB112) | (~v247(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16402,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB112) | (~v247(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16403,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB112) | (~v247(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 83.15/52.74 tff(16404,plain,
% 83.15/52.74 (~v247(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16403, 4949, 16172])).
% 83.15/52.74 tff(16405,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB112) | (~v246(constB112)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB112) | (~v246(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16406,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB112) | (~v246(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16407,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB112) | (~v246(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16406, 16405])).
% 83.15/52.74 tff(16408,plain,
% 83.15/52.74 (~v246(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16407, 4863, 16404])).
% 83.15/52.74 tff(16409,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB112) | (~v245(constB112)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB112) | (~v245(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16410,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB112) | (~v245(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16411,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB112) | (~v245(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16410, 16409])).
% 83.15/52.74 tff(16412,plain,
% 83.15/52.74 (~v245(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16411, 4877, 16408])).
% 83.15/52.74 tff(16413,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB112) | v245(constB112) | (~v241(constB112)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB112) | v245(constB112) | (~v241(constB112)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16414,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB112) | v245(constB112) | (~v241(constB112)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16415,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB112) | v245(constB112) | (~v241(constB112))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16414, 16413])).
% 83.15/52.74 tff(16416,plain,
% 83.15/52.74 (v244(constB112) | (~v241(constB112))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16415, 4905, 16412])).
% 83.15/52.74 tff(16417,plain,
% 83.15/52.74 (~v241(constB112)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16416, 16400])).
% 83.15/52.74 tff(16418,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16419,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16420,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB112, constB113)) | v241(constB112) | (~v243(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16419, 16418])).
% 83.15/52.74 tff(16421,plain,
% 83.15/52.74 (v241(constB112) | (~v243(constB113))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16420, 4920, 15778])).
% 83.15/52.74 tff(16422,plain,
% 83.15/52.74 (~v243(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16421, 16417])).
% 83.15/52.74 tff(16423,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB113) | (~v302(constB113)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB113) | (~v302(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16424,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB113) | (~v302(constB113)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16425,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB113) | (~v302(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 83.15/52.74 tff(16426,plain,
% 83.15/52.74 (~v302(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16425, 5060, 16422])).
% 83.15/52.74 tff(16427,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB113) | v290(constB113) | v302(constB113))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB113) | v290(constB113) | v302(constB113))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16428,plain,
% 83.15/52.74 ((v292(constB113) | v302(constB113) | v290(constB113)) <=> (v292(constB113) | v290(constB113) | v302(constB113))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16429,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB113) | v302(constB113) | v290(constB113))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB113) | v290(constB113) | v302(constB113)))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16428])).
% 83.15/52.74 tff(16430,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB113) | v302(constB113) | v290(constB113))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB113) | v290(constB113) | v302(constB113))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16429, 16427])).
% 83.15/52.74 tff(16431,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB113) | v302(constB113) | v290(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16432,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB113) | v290(constB113) | v302(constB113)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 83.15/52.74 tff(16433,plain,
% 83.15/52.74 (v292(constB113) | v290(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16432, 5074, 16426])).
% 83.15/52.74 tff(16434,plain,
% 83.15/52.74 (v290(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16433, 16203])).
% 83.15/52.74 tff(16435,plain,
% 83.15/52.74 ($false),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16434, 5246])).
% 83.15/52.74 tff(16436,plain,((~(constB113 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.74 tff(16437,plain,
% 83.15/52.74 (~(constB113 = sK_VarCurr)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16436, 5241])).
% 83.15/52.74 tff(16438,assumption,(constB139 = sK_VarCurr), introduced(assumption)).
% 83.15/52.74 tff(16439,plain,
% 83.15/52.74 (v290(constB139) <=> v290(sK_VarCurr)),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16438])).
% 83.15/52.74 tff(16440,plain,
% 83.15/52.74 (v290(sK_VarCurr) <=> v290(constB139)),
% 83.15/52.74 inference(symmetry,[status(thm)],[16439])).
% 83.15/52.74 tff(16441,plain,
% 83.15/52.74 ((~v290(sK_VarCurr)) <=> (~v290(constB139))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16440])).
% 83.15/52.74 tff(16442,plain,
% 83.15/52.74 (~v290(constB139)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[5241, 16441])).
% 83.15/52.74 tff(16443,assumption,(v18(constB138)), introduced(assumption)).
% 83.15/52.74 tff(16444,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB138))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16445,plain,
% 83.15/52.74 ($false),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16444, 3600, 16443])).
% 83.15/52.74 tff(16446,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.74 tff(16447,plain,
% 83.15/52.74 (v1(constB138) <=> v1(constB138)),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16448,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 83.15/52.74 tff(16449,plain,
% 83.15/52.74 (v1(constB138)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 83.15/52.74 tff(16450,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16451,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16452,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16451, 16450])).
% 83.15/52.74 tff(16453,plain,
% 83.15/52.74 (v22(constB138)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16452, 3613, 16449])).
% 83.15/52.74 tff(16454,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16455,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB138) | (~v22(constB138)) | (~v19(constB138)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16456,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB138) | (~v22(constB138)) | (~v19(constB138))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 83.15/52.74 tff(16457,plain,
% 83.15/52.74 (v18(constB138) | (~v19(constB138))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16456, 3627, 16453])).
% 83.15/52.74 tff(16458,plain,
% 83.15/52.74 (~v19(constB138)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16457, 16446])).
% 83.15/52.74 tff(16459,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16460,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16461,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16460, 16459])).
% 83.15/52.74 tff(16462,plain,
% 83.15/52.74 (v13(constB138)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16461, 3639, 16458])).
% 83.15/52.74 tff(16463,plain,
% 83.15/52.74 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16464,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 83.15/52.74 tff(16465,plain,
% 83.15/52.74 (nextState(constB137, constB138)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16464, 16463])).
% 83.15/52.74 tff(16466,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16467,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16468,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB137) | (~v13(constB138)) | (~nextState(constB137, constB138))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 83.15/52.74 tff(16469,plain,
% 83.15/52.74 (v9(constB137) | (~v13(constB138))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16468, 3653, 16465])).
% 83.15/52.74 tff(16470,plain,
% 83.15/52.74 (v9(constB137)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16469, 16462])).
% 83.15/52.74 tff(16471,plain,
% 83.15/52.74 ((~v1(constB137)) <=> (~v1(constB137))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16472,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 83.15/52.74 tff(16473,plain,
% 83.15/52.74 (~v1(constB137)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 83.15/52.74 tff(16474,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16475,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v184(constB137))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16476,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB137) | (~v9(constB137)) | v184(constB137)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 83.15/52.74 tff(16477,plain,
% 83.15/52.74 ((~v9(constB137)) | v184(constB137)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16476, 3668, 16473])).
% 83.15/52.74 tff(16478,plain,
% 83.15/52.74 (v184(constB137)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16477, 16470])).
% 83.15/52.74 tff(16479,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB137) | (~v184(constB137)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16480,plain,
% 83.15/52.74 (((~v184(constB137)) | v183(constB137)) <=> (v183(constB137) | (~v184(constB137)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16481,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB137) | (~v184(constB137))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16480])).
% 83.15/52.74 tff(16482,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16481, 16479])).
% 83.15/52.74 tff(16483,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB137)) | v183(constB137))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16484,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB137) | (~v184(constB137))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16483, 16482])).
% 83.15/52.74 tff(16485,plain,
% 83.15/52.74 (v183(constB137)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16484, 3680, 16478])).
% 83.15/52.74 tff(16486,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB137)) | (~v183(constB137)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16487,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB137)) | (~v183(constB137)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16488,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB137)) | (~v183(constB137))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16487, 16486])).
% 83.15/52.74 tff(16489,plain,
% 83.15/52.74 (~v181(constB137)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16488, 4247, 16485])).
% 83.15/52.74 tff(16490,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16491,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16492,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 83.15/52.74 tff(16493,plain,
% 83.15/52.74 (v121(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16492, 956, 15837, 15872, 15799])).
% 83.15/52.74 tff(16494,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16495,plain,
% 83.15/52.74 (((~v121(constB113)) | v117(constB113)) <=> (v117(constB113) | (~v121(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16496,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB113) | (~v121(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16495])).
% 83.15/52.74 tff(16497,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16496, 16494])).
% 83.15/52.74 tff(16498,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16499,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB113) | (~v121(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 83.15/52.74 tff(16500,plain,
% 83.15/52.74 (v117(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16499, 967, 16493])).
% 83.15/52.74 tff(16501,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16502,plain,
% 83.15/52.74 (((~v117(constB113)) | v116(constB113)) <=> (v116(constB113) | (~v117(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16503,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16502])).
% 83.15/52.74 tff(16504,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16503, 16501])).
% 83.15/52.74 tff(16505,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16506,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16505, 16504])).
% 83.15/52.74 tff(16507,plain,
% 83.15/52.74 (v116(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16506, 200, 16500])).
% 83.15/52.74 tff(16508,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB113)) | v115(constB113))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16509,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16510,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB113)) | v115(constB113)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16509, 16508])).
% 83.15/52.74 tff(16511,plain,
% 83.15/52.74 (v115(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16510, 214, 16507])).
% 83.15/52.74 tff(16512,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16513,plain,
% 83.15/52.74 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16514,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16513])).
% 83.15/52.74 tff(16515,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16514, 16512])).
% 83.15/52.74 tff(16516,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16517,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 83.15/52.74 tff(16518,plain,
% 83.15/52.74 (v114(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16517, 228, 16511])).
% 83.15/52.74 tff(16519,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB113)) | v113(constB113))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16520,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16521,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB113)) | v113(constB113)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16520, 16519])).
% 83.15/52.74 tff(16522,plain,
% 83.15/52.74 (v113(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16521, 242, 16518])).
% 83.15/52.74 tff(16523,assumption,(v26(constB113)), introduced(assumption)).
% 83.15/52.74 tff(16524,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16525,plain,
% 83.15/52.74 ($false),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16524, 19, 16523])).
% 83.15/52.74 tff(16526,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.74 tff(16527,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16528,plain,
% 83.15/52.74 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16529,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16528])).
% 83.15/52.74 tff(16530,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16529, 16527])).
% 83.15/52.74 tff(16531,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16532,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 83.15/52.74 tff(16533,plain,
% 83.15/52.74 (v112(constB113) | (~v113(constB113))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16532, 256, 16526])).
% 83.15/52.74 tff(16534,plain,
% 83.15/52.74 (v112(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16533, 16522])).
% 83.15/52.74 tff(16535,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16536,plain,
% 83.15/52.74 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16537,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16536])).
% 83.15/52.74 tff(16538,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16537, 16535])).
% 83.15/52.74 tff(16539,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16540,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 83.15/52.74 tff(16541,plain,
% 83.15/52.74 (v108(constB113)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16540, 268, 16534])).
% 83.15/52.74 tff(16542,plain,
% 83.15/52.74 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16543,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 83.15/52.74 tff(16544,plain,
% 83.15/52.74 (nextState(constB113, constB114)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16543, 16542])).
% 83.15/52.74 tff(16545,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16546,plain,
% 83.15/52.74 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16547,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16546])).
% 83.15/52.74 tff(16548,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16547, 16545])).
% 83.15/52.74 tff(16549,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16550,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 83.15/52.74 tff(16551,plain,
% 83.15/52.74 (v110(constB114) | (~v108(constB113))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16550, 288, 16544])).
% 83.15/52.74 tff(16552,plain,
% 83.15/52.74 (v110(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16551, 16541])).
% 83.15/52.74 tff(16553,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16554,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16555,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16554, 16553])).
% 83.15/52.74 tff(16556,plain,
% 83.15/52.74 (~v104(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16555, 306, 16544, 15775])).
% 83.15/52.74 tff(16557,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16558,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16559,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16558, 16557])).
% 83.15/52.74 tff(16560,plain,
% 83.15/52.74 (v102(constB114) | v104(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16559, 320, 16544])).
% 83.15/52.74 tff(16561,plain,
% 83.15/52.74 (v102(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16560, 16556])).
% 83.15/52.74 tff(16562,plain,
% 83.15/52.74 (v1(constB114) <=> v1(constB114)),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16563,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 83.15/52.74 tff(16564,plain,
% 83.15/52.74 (v1(constB114)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 83.15/52.74 tff(16565,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16566,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16567,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16566, 16565])).
% 83.15/52.74 tff(16568,plain,
% 83.15/52.74 (v101(constB114) | (~v102(constB114))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16567, 338, 16544, 16564])).
% 83.15/52.74 tff(16569,plain,
% 83.15/52.74 (v101(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16568, 16561])).
% 83.15/52.74 tff(16570,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16571,plain,
% 83.15/52.74 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16572,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16571])).
% 83.15/52.74 tff(16573,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16572, 16570])).
% 83.15/52.74 tff(16574,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16575,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 83.15/52.74 tff(16576,plain,
% 83.15/52.74 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16575, 353, 16544])).
% 83.15/52.74 tff(16577,plain,
% 83.15/52.74 (v100(constB114) | (~v110(constB114))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16576, 16569])).
% 83.15/52.74 tff(16578,plain,
% 83.15/52.74 (v100(constB114)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16577, 16552])).
% 83.15/52.74 tff(16579,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16580,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16581,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 83.15/52.74 tff(16582,plain,
% 83.15/52.74 (~v130(constB113, 2)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16581, 1052, 16493])).
% 83.15/52.74 tff(16583,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16584,plain,
% 83.15/52.74 ((v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2))) <=> ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16585,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)))),
% 83.15/52.74 inference(monotonicity,[status(thm)],[16584])).
% 83.15/52.74 tff(16586,plain,
% 83.15/52.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 83.15/52.74 inference(transitivity,[status(thm)],[16585, 16583])).
% 83.15/52.74 tff(16587,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16588,plain,
% 83.15/52.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 83.15/52.74 tff(16589,plain,
% 83.15/52.74 ((~v127(constB113, 2)) | v130(constB113, 2)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16588, 556, 16526])).
% 83.15/52.74 tff(16590,plain,
% 83.15/52.74 (~v127(constB113, 2)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16589, 16582])).
% 83.15/52.74 tff(16591,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16592,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16593,plain,
% 83.15/52.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16592, 16591])).
% 83.15/52.74 tff(16594,plain,
% 83.15/52.74 (v127(constB113, 2) | (~v129(constB114, 2))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16593, 574, 16544])).
% 83.15/52.74 tff(16595,plain,
% 83.15/52.74 (~v129(constB114, 2)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16594, 16590])).
% 83.15/52.74 tff(16596,plain,
% 83.15/52.74 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16597,plain,
% 83.15/52.74 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 83.15/52.74 inference(quant_inst,[status(thm)],[])).
% 83.15/52.74 tff(16598,plain,
% 83.15/52.74 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114))),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 83.15/52.74 tff(16599,plain,
% 83.15/52.74 ((~v90(constB114, 2)) | (~v100(constB114))),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16598, 589, 16595])).
% 83.15/52.74 tff(16600,plain,
% 83.15/52.74 (~v90(constB114, 2)),
% 83.15/52.74 inference(unit_resolution,[status(thm)],[16599, 16578])).
% 83.15/52.74 tff(16601,plain,
% 83.15/52.74 ((~v1(constB115)) <=> (~v1(constB115))),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16602,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 83.15/52.74 tff(16603,plain,
% 83.15/52.74 (~v1(constB115)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16602, 16601])).
% 83.15/52.74 tff(16604,plain,
% 83.15/52.74 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 83.15/52.74 inference(rewrite,[status(thm)],[])).
% 83.15/52.74 tff(16605,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 83.15/52.74 tff(16606,plain,
% 83.15/52.74 (nextState(constB114, constB115)),
% 83.15/52.74 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 83.15/52.74 tff(16607,plain,
% 83.15/52.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16608,plain,
% 83.15/52.75 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16609,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16608])).
% 83.15/52.75 tff(16610,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16609, 16607])).
% 83.15/52.75 tff(16611,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16612,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 83.15/52.75 tff(16613,plain,
% 83.15/52.75 (~v101(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16612, 66, 16606, 16603])).
% 83.15/52.75 tff(16614,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16615,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16616,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 83.15/52.75 tff(16617,plain,
% 83.15/52.75 (v101(constB115) | (~v100(constB115))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16616, 83, 16606])).
% 83.15/52.75 tff(16618,plain,
% 83.15/52.75 (~v100(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16617, 16613])).
% 83.15/52.75 tff(16619,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16620,plain,
% 83.15/52.75 (((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))) <=> (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16621,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16620])).
% 83.15/52.75 tff(16622,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16621, 16619])).
% 83.15/52.75 tff(16623,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16624,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 83.15/52.75 tff(16625,plain,
% 83.15/52.75 (v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16624, 98, 16606])).
% 83.15/52.75 tff(16626,plain,
% 83.15/52.75 (v90(constB114, 2) | (~v90(constB115, 2))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16625, 16618])).
% 83.15/52.75 tff(16627,plain,
% 83.15/52.75 (~v90(constB115, 2)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16626, 16600])).
% 83.15/52.75 tff(16628,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16629,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16630,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 83.15/52.75 tff(16631,plain,
% 83.15/52.75 (v130(constB113, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16630, 1108, 16493])).
% 83.15/52.75 tff(16632,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16633,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16634,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16633, 16632])).
% 83.15/52.75 tff(16635,plain,
% 83.15/52.75 ((~v130(constB113, 1)) | v127(constB113, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16634, 818, 16526])).
% 83.15/52.75 tff(16636,plain,
% 83.15/52.75 (v127(constB113, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16635, 16631])).
% 83.15/52.75 tff(16637,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16638,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16639,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 83.15/52.75 tff(16640,plain,
% 83.15/52.75 ((~v127(constB113, 1)) | v129(constB114, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16639, 833, 16544])).
% 83.15/52.75 tff(16641,plain,
% 83.15/52.75 (v129(constB114, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16640, 16636])).
% 83.15/52.75 tff(16642,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16643,plain,
% 83.15/52.75 ((v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1))) <=> (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16644,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16643])).
% 83.15/52.75 tff(16645,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16644, 16642])).
% 83.15/52.75 tff(16646,plain,
% 83.15/52.75 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16647,plain,
% 83.15/52.75 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16646, 16645])).
% 83.15/52.75 tff(16648,plain,
% 83.15/52.75 (v90(constB114, 1) | (~v100(constB114))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16647, 848, 16641])).
% 83.15/52.75 tff(16649,plain,
% 83.15/52.75 (v90(constB114, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16648, 16578])).
% 83.15/52.75 tff(16650,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16651,plain,
% 83.15/52.75 (((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)) <=> ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16652,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16651])).
% 83.15/52.75 tff(16653,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16652, 16650])).
% 83.15/52.75 tff(16654,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16655,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 83.15/52.75 tff(16656,plain,
% 83.15/52.75 ((~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16655, 866, 16606])).
% 83.15/52.75 tff(16657,plain,
% 83.15/52.75 ((~v90(constB114, 1)) | v90(constB115, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16656, 16618])).
% 83.15/52.75 tff(16658,plain,
% 83.15/52.75 (v90(constB115, 1)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16657, 16649])).
% 83.15/52.75 tff(16659,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16660,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16661,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16660, 16659])).
% 83.15/52.75 tff(16662,plain,
% 83.15/52.75 (v130(constB113, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16661, 1146, 16493])).
% 83.15/52.75 tff(16663,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16664,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16665,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16664, 16663])).
% 83.15/52.75 tff(16666,plain,
% 83.15/52.75 ((~v130(constB113, 0)) | v127(constB113, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16665, 478, 16526])).
% 83.15/52.75 tff(16667,plain,
% 83.15/52.75 (v127(constB113, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16666, 16662])).
% 83.15/52.75 tff(16668,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16669,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16670,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 83.15/52.75 tff(16671,plain,
% 83.15/52.75 ((~v127(constB113, 0)) | v129(constB114, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16670, 493, 16544])).
% 83.15/52.75 tff(16672,plain,
% 83.15/52.75 (v129(constB114, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16671, 16667])).
% 83.15/52.75 tff(16673,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16674,plain,
% 83.15/52.75 ((v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0))) <=> (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16675,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16674])).
% 83.15/52.75 tff(16676,plain,
% 83.15/52.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16675, 16673])).
% 83.15/52.75 tff(16677,plain,
% 83.15/52.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16678,plain,
% 83.15/52.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16677, 16676])).
% 83.15/52.75 tff(16679,plain,
% 83.15/52.75 (v90(constB114, 0) | (~v100(constB114))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16678, 508, 16672])).
% 83.15/52.75 tff(16680,plain,
% 83.15/52.75 (v90(constB114, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16679, 16578])).
% 83.15/52.75 tff(16681,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16682,plain,
% 83.15/52.75 (((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)) <=> ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16683,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16682])).
% 83.15/52.75 tff(16684,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16683, 16681])).
% 83.15/52.75 tff(16685,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16686,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16685, 16684])).
% 83.15/52.75 tff(16687,plain,
% 83.15/52.75 ((~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16686, 526, 16606])).
% 83.15/52.75 tff(16688,plain,
% 83.15/52.75 ((~v90(constB114, 0)) | v90(constB115, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16687, 16618])).
% 83.15/52.75 tff(16689,plain,
% 83.15/52.75 (v90(constB115, 0)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16688, 16680])).
% 83.15/52.75 tff(16690,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16691,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16692,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16691, 16690])).
% 83.15/52.75 tff(16693,plain,
% 83.15/52.75 (v122(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16692, 1187, 16689, 16658, 16627])).
% 83.15/52.75 tff(16694,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v122(constB115)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16695,plain,
% 83.15/52.75 (((~v122(constB115)) | v116(constB115)) <=> (v116(constB115) | (~v122(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16696,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB115) | (~v122(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16695])).
% 83.15/52.75 tff(16697,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16696, 16694])).
% 83.15/52.75 tff(16698,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16699,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB115) | (~v122(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 83.15/52.75 tff(16700,plain,
% 83.15/52.75 (v116(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16699, 1257, 16693])).
% 83.15/52.75 tff(16701,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16702,plain,
% 83.15/52.75 (((~v116(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v116(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16703,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16702])).
% 83.15/52.75 tff(16704,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16703, 16701])).
% 83.15/52.75 tff(16705,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16706,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 83.15/52.75 tff(16707,plain,
% 83.15/52.75 (v115(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16706, 214, 16700])).
% 83.15/52.75 tff(16708,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16709,plain,
% 83.15/52.75 (((~v115(constB115)) | v114(constB115)) <=> (v114(constB115) | (~v115(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16710,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16709])).
% 83.15/52.75 tff(16711,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16710, 16708])).
% 83.15/52.75 tff(16712,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16713,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 83.15/52.75 tff(16714,plain,
% 83.15/52.75 (v114(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16713, 228, 16707])).
% 83.15/52.75 tff(16715,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB115) | (~v114(constB115)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16716,plain,
% 83.15/52.75 (((~v114(constB115)) | v113(constB115)) <=> (v113(constB115) | (~v114(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16717,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB115) | (~v114(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16716])).
% 83.15/52.75 tff(16718,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16717, 16715])).
% 83.15/52.75 tff(16719,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16720,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB115) | (~v114(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 83.15/52.75 tff(16721,plain,
% 83.15/52.75 (v113(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16720, 242, 16714])).
% 83.15/52.75 tff(16722,assumption,(v26(constB115)), introduced(assumption)).
% 83.15/52.75 tff(16723,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16724,plain,
% 83.15/52.75 ($false),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16723, 19, 16722])).
% 83.15/52.75 tff(16725,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.75 tff(16726,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16727,plain,
% 83.15/52.75 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16728,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | v112(constB115) | (~v113(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16727])).
% 83.15/52.75 tff(16729,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16728, 16726])).
% 83.15/52.75 tff(16730,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16731,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 83.15/52.75 tff(16732,plain,
% 83.15/52.75 (v112(constB115) | (~v113(constB115))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16731, 256, 16725])).
% 83.15/52.75 tff(16733,plain,
% 83.15/52.75 (v112(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16732, 16721])).
% 83.15/52.75 tff(16734,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16735,plain,
% 83.15/52.75 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16736,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16735])).
% 83.15/52.75 tff(16737,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16736, 16734])).
% 83.15/52.75 tff(16738,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16739,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 83.15/52.75 tff(16740,plain,
% 83.15/52.75 (v108(constB115)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16739, 268, 16733])).
% 83.15/52.75 tff(16741,plain,
% 83.15/52.75 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16742,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 83.15/52.75 tff(16743,plain,
% 83.15/52.75 (nextState(constB115, constB116)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 83.15/52.75 tff(16744,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16745,plain,
% 83.15/52.75 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16746,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16745])).
% 83.15/52.75 tff(16747,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16746, 16744])).
% 83.15/52.75 tff(16748,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16749,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 83.15/52.75 tff(16750,plain,
% 83.15/52.75 (v110(constB116) | (~v108(constB115))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16749, 288, 16743])).
% 83.15/52.75 tff(16751,plain,
% 83.15/52.75 (v110(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16750, 16740])).
% 83.15/52.75 tff(16752,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16753,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16754,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16753, 16752])).
% 83.15/52.75 tff(16755,plain,
% 83.15/52.75 (~v104(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16754, 306, 16743, 16603])).
% 83.15/52.75 tff(16756,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16757,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16758,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 83.15/52.75 tff(16759,plain,
% 83.15/52.75 (v102(constB116) | v104(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16758, 320, 16743])).
% 83.15/52.75 tff(16760,plain,
% 83.15/52.75 (v102(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16759, 16755])).
% 83.15/52.75 tff(16761,plain,
% 83.15/52.75 (v1(constB116) <=> v1(constB116)),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16762,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 83.15/52.75 tff(16763,plain,
% 83.15/52.75 (v1(constB116)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 83.15/52.75 tff(16764,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16765,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16766,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 83.15/52.75 tff(16767,plain,
% 83.15/52.75 (v101(constB116) | (~v102(constB116))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16766, 338, 16743, 16763])).
% 83.15/52.75 tff(16768,plain,
% 83.15/52.75 (v101(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16767, 16760])).
% 83.15/52.75 tff(16769,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16770,plain,
% 83.15/52.75 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16771,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 83.15/52.75 inference(monotonicity,[status(thm)],[16770])).
% 83.15/52.75 tff(16772,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 83.15/52.75 inference(transitivity,[status(thm)],[16771, 16769])).
% 83.15/52.75 tff(16773,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16774,plain,
% 83.15/52.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 83.15/52.75 tff(16775,plain,
% 83.15/52.75 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16774, 353, 16743])).
% 83.15/52.75 tff(16776,plain,
% 83.15/52.75 (v100(constB116) | (~v110(constB116))),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16775, 16768])).
% 83.15/52.75 tff(16777,plain,
% 83.15/52.75 (v100(constB116)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16776, 16751])).
% 83.15/52.75 tff(16778,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16779,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16780,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 83.15/52.75 tff(16781,plain,
% 83.15/52.75 (v130(constB115, 2)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16780, 1198, 16693])).
% 83.15/52.75 tff(16782,plain,
% 83.15/52.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.75 tff(16783,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 83.15/52.75 inference(quant_inst,[status(thm)],[])).
% 83.15/52.75 tff(16784,plain,
% 83.15/52.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2)),
% 83.15/52.75 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 83.15/52.75 tff(16785,plain,
% 83.15/52.75 ((~v130(constB115, 2)) | v127(constB115, 2)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16784, 1212, 16725])).
% 83.15/52.75 tff(16786,plain,
% 83.15/52.75 (v127(constB115, 2)),
% 83.15/52.75 inference(unit_resolution,[status(thm)],[16785, 16781])).
% 83.15/52.75 tff(16787,plain,
% 83.15/52.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 83.15/52.75 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16788,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16789,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 83.15/52.76 tff(16790,plain,
% 83.15/52.76 ((~v127(constB115, 2)) | v129(constB116, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16789, 1230, 16743])).
% 83.15/52.76 tff(16791,plain,
% 83.15/52.76 (v129(constB116, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16790, 16786])).
% 83.15/52.76 tff(16792,plain,
% 83.15/52.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16793,plain,
% 83.15/52.76 ((v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2))) <=> (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16794,plain,
% 83.15/52.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16793])).
% 83.15/52.76 tff(16795,plain,
% 83.15/52.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16794, 16792])).
% 83.15/52.76 tff(16796,plain,
% 83.15/52.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16797,plain,
% 83.15/52.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16796, 16795])).
% 83.15/52.76 tff(16798,plain,
% 83.15/52.76 (v90(constB116, 2) | (~v100(constB116))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16797, 1338, 16791])).
% 83.15/52.76 tff(16799,plain,
% 83.15/52.76 (v90(constB116, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16798, 16777])).
% 83.15/52.76 tff(16800,plain,
% 83.15/52.76 ((~v1(constB117)) <=> (~v1(constB117))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16801,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 83.15/52.76 tff(16802,plain,
% 83.15/52.76 (~v1(constB117)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 83.15/52.76 tff(16803,plain,
% 83.15/52.76 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16804,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 83.15/52.76 tff(16805,plain,
% 83.15/52.76 (nextState(constB116, constB117)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16804, 16803])).
% 83.15/52.76 tff(16806,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16807,plain,
% 83.15/52.76 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16808,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16807])).
% 83.15/52.76 tff(16809,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16808, 16806])).
% 83.15/52.76 tff(16810,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16811,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 83.15/52.76 tff(16812,plain,
% 83.15/52.76 (~v101(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16811, 66, 16805, 16802])).
% 83.15/52.76 tff(16813,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16814,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16815,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 83.15/52.76 tff(16816,plain,
% 83.15/52.76 (v101(constB117) | (~v100(constB117))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16815, 83, 16805])).
% 83.15/52.76 tff(16817,plain,
% 83.15/52.76 (~v100(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16816, 16812])).
% 83.15/52.76 tff(16818,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16819,plain,
% 83.15/52.76 (((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)) <=> ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16820,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16819])).
% 83.15/52.76 tff(16821,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16820, 16818])).
% 83.15/52.76 tff(16822,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16823,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16822, 16821])).
% 83.15/52.76 tff(16824,plain,
% 83.15/52.76 ((~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16823, 1374, 16805])).
% 83.15/52.76 tff(16825,plain,
% 83.15/52.76 ((~v90(constB116, 2)) | v90(constB117, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16824, 16817])).
% 83.15/52.76 tff(16826,plain,
% 83.15/52.76 (v90(constB117, 2)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16825, 16799])).
% 83.15/52.76 tff(16827,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16828,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16829,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16828, 16827])).
% 83.15/52.76 tff(16830,plain,
% 83.15/52.76 (~v130(constB115, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16829, 1390, 16693])).
% 83.15/52.76 tff(16831,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16832,plain,
% 83.15/52.76 ((v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1))) <=> ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16833,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16832])).
% 83.15/52.76 tff(16834,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16833, 16831])).
% 83.15/52.76 tff(16835,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16836,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 83.15/52.76 tff(16837,plain,
% 83.15/52.76 ((~v127(constB115, 1)) | v130(constB115, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16836, 383, 16725])).
% 83.15/52.76 tff(16838,plain,
% 83.15/52.76 (~v127(constB115, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16837, 16830])).
% 83.15/52.76 tff(16839,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16840,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16841,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16840, 16839])).
% 83.15/52.76 tff(16842,plain,
% 83.15/52.76 (v127(constB115, 1) | (~v129(constB116, 1))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16841, 401, 16743])).
% 83.15/52.76 tff(16843,plain,
% 83.15/52.76 (~v129(constB116, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16842, 16838])).
% 83.15/52.76 tff(16844,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16845,plain,
% 83.15/52.76 (((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1)) <=> ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16846,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16845])).
% 83.15/52.76 tff(16847,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16846, 16844])).
% 83.15/52.76 tff(16848,plain,
% 83.15/52.76 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16849,plain,
% 83.15/52.76 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 83.15/52.76 tff(16850,plain,
% 83.15/52.76 ((~v90(constB116, 1)) | (~v100(constB116))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16849, 416, 16843])).
% 83.15/52.76 tff(16851,plain,
% 83.15/52.76 (~v90(constB116, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16850, 16777])).
% 83.15/52.76 tff(16852,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16853,plain,
% 83.15/52.76 (((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))) <=> (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16854,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16853])).
% 83.15/52.76 tff(16855,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16854, 16852])).
% 83.15/52.76 tff(16856,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16857,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16856, 16855])).
% 83.15/52.76 tff(16858,plain,
% 83.15/52.76 (v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16857, 119, 16805])).
% 83.15/52.76 tff(16859,plain,
% 83.15/52.76 (v90(constB116, 1) | (~v90(constB117, 1))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16858, 16817])).
% 83.15/52.76 tff(16860,plain,
% 83.15/52.76 (~v90(constB117, 1)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16859, 16851])).
% 83.15/52.76 tff(16861,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16862,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16863,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16862, 16861])).
% 83.15/52.76 tff(16864,plain,
% 83.15/52.76 (~v130(constB115, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16863, 1431, 16693])).
% 83.15/52.76 tff(16865,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16866,plain,
% 83.15/52.76 ((v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0))) <=> ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16867,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16866])).
% 83.15/52.76 tff(16868,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16867, 16865])).
% 83.15/52.76 tff(16869,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16870,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 83.15/52.76 tff(16871,plain,
% 83.15/52.76 ((~v127(constB115, 0)) | v130(constB115, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16870, 896, 16725])).
% 83.15/52.76 tff(16872,plain,
% 83.15/52.76 (~v127(constB115, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16871, 16864])).
% 83.15/52.76 tff(16873,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16874,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16875,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 83.15/52.76 tff(16876,plain,
% 83.15/52.76 (v127(constB115, 0) | (~v129(constB116, 0))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16875, 914, 16743])).
% 83.15/52.76 tff(16877,plain,
% 83.15/52.76 (~v129(constB116, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16876, 16872])).
% 83.15/52.76 tff(16878,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16879,plain,
% 83.15/52.76 (((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0)) <=> ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16880,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16879])).
% 83.15/52.76 tff(16881,plain,
% 83.15/52.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16880, 16878])).
% 83.15/52.76 tff(16882,plain,
% 83.15/52.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16883,plain,
% 83.15/52.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16882, 16881])).
% 83.15/52.76 tff(16884,plain,
% 83.15/52.76 ((~v90(constB116, 0)) | (~v100(constB116))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16883, 929, 16877])).
% 83.15/52.76 tff(16885,plain,
% 83.15/52.76 (~v90(constB116, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16884, 16777])).
% 83.15/52.76 tff(16886,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16887,plain,
% 83.15/52.76 (((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))) <=> (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16888,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16887])).
% 83.15/52.76 tff(16889,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16888, 16886])).
% 83.15/52.76 tff(16890,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16891,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 83.15/52.76 tff(16892,plain,
% 83.15/52.76 (v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16891, 140, 16805])).
% 83.15/52.76 tff(16893,plain,
% 83.15/52.76 (v90(constB116, 0) | (~v90(constB117, 0))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16892, 16817])).
% 83.15/52.76 tff(16894,plain,
% 83.15/52.76 (~v90(constB117, 0)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16893, 16885])).
% 83.15/52.76 tff(16895,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16896,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16897,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16896, 16895])).
% 83.15/52.76 tff(16898,plain,
% 83.15/52.76 (v123(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16897, 1475, 16894, 16860, 16826])).
% 83.15/52.76 tff(16899,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16900,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16901,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16900, 16899])).
% 83.15/52.76 tff(16902,plain,
% 83.15/52.76 (v115(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16901, 1486, 16898])).
% 83.15/52.76 tff(16903,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16904,plain,
% 83.15/52.76 (((~v115(constB117)) | v114(constB117)) <=> (v114(constB117) | (~v115(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16905,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16904])).
% 83.15/52.76 tff(16906,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16905, 16903])).
% 83.15/52.76 tff(16907,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16908,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 83.15/52.76 tff(16909,plain,
% 83.15/52.76 (v114(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16908, 228, 16902])).
% 83.15/52.76 tff(16910,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16911,plain,
% 83.15/52.76 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16912,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16911])).
% 83.15/52.76 tff(16913,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16912, 16910])).
% 83.15/52.76 tff(16914,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16915,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16914, 16913])).
% 83.15/52.76 tff(16916,plain,
% 83.15/52.76 (v113(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16915, 242, 16909])).
% 83.15/52.76 tff(16917,assumption,(v26(constB117)), introduced(assumption)).
% 83.15/52.76 tff(16918,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16919,plain,
% 83.15/52.76 ($false),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16918, 19, 16917])).
% 83.15/52.76 tff(16920,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.76 tff(16921,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16922,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16923,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 83.15/52.76 tff(16924,plain,
% 83.15/52.76 ((~v113(constB117)) | v112(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16923, 256, 16920])).
% 83.15/52.76 tff(16925,plain,
% 83.15/52.76 (v112(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16924, 16916])).
% 83.15/52.76 tff(16926,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16927,plain,
% 83.15/52.76 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16928,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16927])).
% 83.15/52.76 tff(16929,plain,
% 83.15/52.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16928, 16926])).
% 83.15/52.76 tff(16930,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16931,plain,
% 83.15/52.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 83.15/52.76 tff(16932,plain,
% 83.15/52.76 (v108(constB117)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16931, 268, 16925])).
% 83.15/52.76 tff(16933,plain,
% 83.15/52.76 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16934,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 83.15/52.76 tff(16935,plain,
% 83.15/52.76 (nextState(constB117, constB118)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 83.15/52.76 tff(16936,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16937,plain,
% 83.15/52.76 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16938,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 83.15/52.76 inference(monotonicity,[status(thm)],[16937])).
% 83.15/52.76 tff(16939,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 83.15/52.76 inference(transitivity,[status(thm)],[16938, 16936])).
% 83.15/52.76 tff(16940,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16941,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 83.15/52.76 tff(16942,plain,
% 83.15/52.76 (v110(constB118) | (~v108(constB117))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16941, 288, 16935])).
% 83.15/52.76 tff(16943,plain,
% 83.15/52.76 (v110(constB118)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16942, 16932])).
% 83.15/52.76 tff(16944,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16945,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16946,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16945, 16944])).
% 83.15/52.76 tff(16947,plain,
% 83.15/52.76 (~v104(constB118)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16946, 306, 16935, 16802])).
% 83.15/52.76 tff(16948,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16949,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16950,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16949, 16948])).
% 83.15/52.76 tff(16951,plain,
% 83.15/52.76 (v102(constB118) | v104(constB118)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16950, 320, 16935])).
% 83.15/52.76 tff(16952,plain,
% 83.15/52.76 (v102(constB118)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16951, 16947])).
% 83.15/52.76 tff(16953,plain,
% 83.15/52.76 (v1(constB118) <=> v1(constB118)),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16954,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 83.15/52.76 tff(16955,plain,
% 83.15/52.76 (v1(constB118)),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 83.15/52.76 tff(16956,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 83.15/52.76 inference(rewrite,[status(thm)],[])).
% 83.15/52.76 tff(16957,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 83.15/52.76 inference(quant_inst,[status(thm)],[])).
% 83.15/52.76 tff(16958,plain,
% 83.15/52.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 83.15/52.76 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 83.15/52.76 tff(16959,plain,
% 83.15/52.76 (v101(constB118) | (~v102(constB118))),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16958, 338, 16935, 16955])).
% 83.15/52.76 tff(16960,plain,
% 83.15/52.76 (v101(constB118)),
% 83.15/52.76 inference(unit_resolution,[status(thm)],[16959, 16952])).
% 83.15/52.76 tff(16961,plain,
% 83.15/52.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16962,plain,
% 83.15/52.77 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16963,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[16962])).
% 83.15/52.77 tff(16964,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[16963, 16961])).
% 83.15/52.77 tff(16965,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(16966,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 83.15/52.77 tff(16967,plain,
% 83.15/52.77 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16966, 353, 16935])).
% 83.15/52.77 tff(16968,plain,
% 83.15/52.77 (v100(constB118) | (~v110(constB118))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16967, 16960])).
% 83.15/52.77 tff(16969,plain,
% 83.15/52.77 (v100(constB118)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16968, 16943])).
% 83.15/52.77 tff(16970,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16971,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(16972,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 83.15/52.77 tff(16973,plain,
% 83.15/52.77 (v130(constB117, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16972, 1567, 16898])).
% 83.15/52.77 tff(16974,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16975,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(16976,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16975, 16974])).
% 83.15/52.77 tff(16977,plain,
% 83.15/52.77 ((~v130(constB117, 2)) | v127(constB117, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16976, 1212, 16920])).
% 83.15/52.77 tff(16978,plain,
% 83.15/52.77 (v127(constB117, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16977, 16973])).
% 83.15/52.77 tff(16979,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16980,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(16981,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16980, 16979])).
% 83.15/52.77 tff(16982,plain,
% 83.15/52.77 ((~v127(constB117, 2)) | v129(constB118, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16981, 1230, 16935])).
% 83.15/52.77 tff(16983,plain,
% 83.15/52.77 (v129(constB118, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16982, 16978])).
% 83.15/52.77 tff(16984,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16985,plain,
% 83.15/52.77 ((v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2))) <=> (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16986,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[16985])).
% 83.15/52.77 tff(16987,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[16986, 16984])).
% 83.15/52.77 tff(16988,plain,
% 83.15/52.77 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(16989,plain,
% 83.15/52.77 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 83.15/52.77 tff(16990,plain,
% 83.15/52.77 (v90(constB118, 2) | (~v100(constB118))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16989, 1338, 16983])).
% 83.15/52.77 tff(16991,plain,
% 83.15/52.77 (v90(constB118, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[16990, 16969])).
% 83.15/52.77 tff(16992,plain,
% 83.15/52.77 ((~v1(constB119)) <=> (~v1(constB119))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16993,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 83.15/52.77 tff(16994,plain,
% 83.15/52.77 (~v1(constB119)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 83.15/52.77 tff(16995,plain,
% 83.15/52.77 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16996,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 83.15/52.77 tff(16997,plain,
% 83.15/52.77 (nextState(constB118, constB119)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[16996, 16995])).
% 83.15/52.77 tff(16998,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(16999,plain,
% 83.15/52.77 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17000,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[16999])).
% 83.15/52.77 tff(17001,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17000, 16998])).
% 83.15/52.77 tff(17002,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17003,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 83.15/52.77 tff(17004,plain,
% 83.15/52.77 (~v101(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17003, 66, 16997, 16994])).
% 83.15/52.77 tff(17005,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17006,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17007,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 83.15/52.77 tff(17008,plain,
% 83.15/52.77 (v101(constB119) | (~v100(constB119))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17007, 83, 16997])).
% 83.15/52.77 tff(17009,plain,
% 83.15/52.77 (~v100(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17008, 17004])).
% 83.15/52.77 tff(17010,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17011,plain,
% 83.15/52.77 (((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)) <=> ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17012,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17011])).
% 83.15/52.77 tff(17013,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17012, 17010])).
% 83.15/52.77 tff(17014,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17015,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17014, 17013])).
% 83.15/52.77 tff(17016,plain,
% 83.15/52.77 ((~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17015, 1374, 16997])).
% 83.15/52.77 tff(17017,plain,
% 83.15/52.77 ((~v90(constB118, 2)) | v90(constB119, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17016, 17009])).
% 83.15/52.77 tff(17018,plain,
% 83.15/52.77 (v90(constB119, 2)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17017, 16991])).
% 83.15/52.77 tff(17019,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17020,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17021,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17020, 17019])).
% 83.15/52.77 tff(17022,plain,
% 83.15/52.77 (~v130(constB117, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17021, 1623, 16898])).
% 83.15/52.77 tff(17023,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17024,plain,
% 83.15/52.77 ((v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1))) <=> ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17025,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17024])).
% 83.15/52.77 tff(17026,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17025, 17023])).
% 83.15/52.77 tff(17027,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17028,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 83.15/52.77 tff(17029,plain,
% 83.15/52.77 ((~v127(constB117, 1)) | v130(constB117, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17028, 383, 16920])).
% 83.15/52.77 tff(17030,plain,
% 83.15/52.77 (~v127(constB117, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17029, 17022])).
% 83.15/52.77 tff(17031,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17032,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17033,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17032, 17031])).
% 83.15/52.77 tff(17034,plain,
% 83.15/52.77 (v127(constB117, 1) | (~v129(constB118, 1))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17033, 401, 16935])).
% 83.15/52.77 tff(17035,plain,
% 83.15/52.77 (~v129(constB118, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17034, 17030])).
% 83.15/52.77 tff(17036,plain,
% 83.15/52.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17037,plain,
% 83.15/52.77 (((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1)) <=> ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17038,plain,
% 83.15/52.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17037])).
% 83.15/52.77 tff(17039,plain,
% 83.15/52.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17038, 17036])).
% 83.15/52.77 tff(17040,plain,
% 83.15/52.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17041,plain,
% 83.15/52.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17040, 17039])).
% 83.15/52.77 tff(17042,plain,
% 83.15/52.77 ((~v90(constB118, 1)) | (~v100(constB118))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17041, 416, 17035])).
% 83.15/52.77 tff(17043,plain,
% 83.15/52.77 (~v90(constB118, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17042, 16969])).
% 83.15/52.77 tff(17044,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17045,plain,
% 83.15/52.77 (((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))) <=> (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17046,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17045])).
% 83.15/52.77 tff(17047,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17046, 17044])).
% 83.15/52.77 tff(17048,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17049,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17048, 17047])).
% 83.15/52.77 tff(17050,plain,
% 83.15/52.77 (v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17049, 119, 16997])).
% 83.15/52.77 tff(17051,plain,
% 83.15/52.77 (v90(constB118, 1) | (~v90(constB119, 1))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17050, 17009])).
% 83.15/52.77 tff(17052,plain,
% 83.15/52.77 (~v90(constB119, 1)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17051, 17043])).
% 83.15/52.77 tff(17053,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17054,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17055,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 83.15/52.77 tff(17056,plain,
% 83.15/52.77 (v130(constB117, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17055, 1664, 16898])).
% 83.15/52.77 tff(17057,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17058,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17059,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17058, 17057])).
% 83.15/52.77 tff(17060,plain,
% 83.15/52.77 ((~v130(constB117, 0)) | v127(constB117, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17059, 478, 16920])).
% 83.15/52.77 tff(17061,plain,
% 83.15/52.77 (v127(constB117, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17060, 17056])).
% 83.15/52.77 tff(17062,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17063,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17064,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17063, 17062])).
% 83.15/52.77 tff(17065,plain,
% 83.15/52.77 ((~v127(constB117, 0)) | v129(constB118, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17064, 493, 16935])).
% 83.15/52.77 tff(17066,plain,
% 83.15/52.77 (v129(constB118, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17065, 17061])).
% 83.15/52.77 tff(17067,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17068,plain,
% 83.15/52.77 ((v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0))) <=> (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17069,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17068])).
% 83.15/52.77 tff(17070,plain,
% 83.15/52.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17069, 17067])).
% 83.15/52.77 tff(17071,plain,
% 83.15/52.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17072,plain,
% 83.15/52.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 83.15/52.77 tff(17073,plain,
% 83.15/52.77 (v90(constB118, 0) | (~v100(constB118))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17072, 508, 17066])).
% 83.15/52.77 tff(17074,plain,
% 83.15/52.77 (v90(constB118, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17073, 16969])).
% 83.15/52.77 tff(17075,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17076,plain,
% 83.15/52.77 (((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)) <=> ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17077,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17076])).
% 83.15/52.77 tff(17078,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17077, 17075])).
% 83.15/52.77 tff(17079,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17080,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17079, 17078])).
% 83.15/52.77 tff(17081,plain,
% 83.15/52.77 ((~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17080, 526, 16997])).
% 83.15/52.77 tff(17082,plain,
% 83.15/52.77 ((~v90(constB118, 0)) | v90(constB119, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17081, 17009])).
% 83.15/52.77 tff(17083,plain,
% 83.15/52.77 (v90(constB119, 0)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17082, 17074])).
% 83.15/52.77 tff(17084,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17085,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17086,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 83.15/52.77 tff(17087,plain,
% 83.15/52.77 (v124(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17086, 1705, 17083, 17052, 17018])).
% 83.15/52.77 tff(17088,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17089,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17090,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 83.15/52.77 tff(17091,plain,
% 83.15/52.77 (v114(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17090, 1741, 17087])).
% 83.15/52.77 tff(17092,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17093,plain,
% 83.15/52.77 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17094,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17093])).
% 83.15/52.77 tff(17095,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17094, 17092])).
% 83.15/52.77 tff(17096,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17097,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 83.15/52.77 tff(17098,plain,
% 83.15/52.77 (v113(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17097, 242, 17091])).
% 83.15/52.77 tff(17099,assumption,(v26(constB119)), introduced(assumption)).
% 83.15/52.77 tff(17100,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17101,plain,
% 83.15/52.77 ($false),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17100, 19, 17099])).
% 83.15/52.77 tff(17102,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.77 tff(17103,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17104,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17105,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 83.15/52.77 tff(17106,plain,
% 83.15/52.77 ((~v113(constB119)) | v112(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17105, 256, 17102])).
% 83.15/52.77 tff(17107,plain,
% 83.15/52.77 (v112(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17106, 17098])).
% 83.15/52.77 tff(17108,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17109,plain,
% 83.15/52.77 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17110,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17109])).
% 83.15/52.77 tff(17111,plain,
% 83.15/52.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17110, 17108])).
% 83.15/52.77 tff(17112,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17113,plain,
% 83.15/52.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 83.15/52.77 tff(17114,plain,
% 83.15/52.77 (v108(constB119)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17113, 268, 17107])).
% 83.15/52.77 tff(17115,plain,
% 83.15/52.77 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17116,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 83.15/52.77 tff(17117,plain,
% 83.15/52.77 (nextState(constB119, constB120)),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 83.15/52.77 tff(17118,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17119,plain,
% 83.15/52.77 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17120,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 83.15/52.77 inference(monotonicity,[status(thm)],[17119])).
% 83.15/52.77 tff(17121,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 83.15/52.77 inference(transitivity,[status(thm)],[17120, 17118])).
% 83.15/52.77 tff(17122,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17123,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 83.15/52.77 tff(17124,plain,
% 83.15/52.77 (v110(constB120) | (~v108(constB119))),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17123, 288, 17117])).
% 83.15/52.77 tff(17125,plain,
% 83.15/52.77 (v110(constB120)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17124, 17114])).
% 83.15/52.77 tff(17126,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17127,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17128,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 83.15/52.77 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 83.15/52.77 tff(17129,plain,
% 83.15/52.77 (~v104(constB120)),
% 83.15/52.77 inference(unit_resolution,[status(thm)],[17128, 306, 17117, 16994])).
% 83.15/52.77 tff(17130,plain,
% 83.15/52.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 83.15/52.77 inference(rewrite,[status(thm)],[])).
% 83.15/52.77 tff(17131,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 83.15/52.77 inference(quant_inst,[status(thm)],[])).
% 83.15/52.77 tff(17132,plain,
% 83.15/52.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 83.15/52.78 tff(17133,plain,
% 83.15/52.78 (v102(constB120) | v104(constB120)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17132, 320, 17117])).
% 83.15/52.78 tff(17134,plain,
% 83.15/52.78 (v102(constB120)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17133, 17129])).
% 83.15/52.78 tff(17135,plain,
% 83.15/52.78 (v1(constB120) <=> v1(constB120)),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17136,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 83.15/52.78 tff(17137,plain,
% 83.15/52.78 (v1(constB120)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 83.15/52.78 tff(17138,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17139,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17140,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 83.15/52.78 tff(17141,plain,
% 83.15/52.78 (v101(constB120) | (~v102(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17140, 338, 17117, 17137])).
% 83.15/52.78 tff(17142,plain,
% 83.15/52.78 (v101(constB120)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17141, 17134])).
% 83.15/52.78 tff(17143,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17144,plain,
% 83.15/52.78 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17145,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17144])).
% 83.15/52.78 tff(17146,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17145, 17143])).
% 83.15/52.78 tff(17147,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17148,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 83.15/52.78 tff(17149,plain,
% 83.15/52.78 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17148, 353, 17117])).
% 83.15/52.78 tff(17150,plain,
% 83.15/52.78 (v100(constB120) | (~v110(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17149, 17142])).
% 83.15/52.78 tff(17151,plain,
% 83.15/52.78 (v100(constB120)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17150, 17125])).
% 83.15/52.78 tff(17152,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17153,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17154,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 83.15/52.78 tff(17155,plain,
% 83.15/52.78 (v130(constB119, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17154, 1716, 17087])).
% 83.15/52.78 tff(17156,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17157,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17158,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17157, 17156])).
% 83.15/52.78 tff(17159,plain,
% 83.15/52.78 ((~v130(constB119, 2)) | v127(constB119, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17158, 1212, 17102])).
% 83.15/52.78 tff(17160,plain,
% 83.15/52.78 (v127(constB119, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17159, 17155])).
% 83.15/52.78 tff(17161,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17162,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17163,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 83.15/52.78 tff(17164,plain,
% 83.15/52.78 ((~v127(constB119, 2)) | v129(constB120, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17163, 1230, 17117])).
% 83.15/52.78 tff(17165,plain,
% 83.15/52.78 (v129(constB120, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17164, 17160])).
% 83.15/52.78 tff(17166,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17167,plain,
% 83.15/52.78 ((v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2))) <=> (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17168,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17167])).
% 83.15/52.78 tff(17169,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17168, 17166])).
% 83.15/52.78 tff(17170,plain,
% 83.15/52.78 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17171,plain,
% 83.15/52.78 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 83.15/52.78 tff(17172,plain,
% 83.15/52.78 (v90(constB120, 2) | (~v100(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17171, 1338, 17165])).
% 83.15/52.78 tff(17173,plain,
% 83.15/52.78 (v90(constB120, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17172, 17151])).
% 83.15/52.78 tff(17174,plain,
% 83.15/52.78 ((~v1(constB121)) <=> (~v1(constB121))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17175,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 83.15/52.78 tff(17176,plain,
% 83.15/52.78 (~v1(constB121)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17175, 17174])).
% 83.15/52.78 tff(17177,plain,
% 83.15/52.78 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17178,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 83.15/52.78 tff(17179,plain,
% 83.15/52.78 (nextState(constB120, constB121)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17178, 17177])).
% 83.15/52.78 tff(17180,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17181,plain,
% 83.15/52.78 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17182,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17181])).
% 83.15/52.78 tff(17183,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17182, 17180])).
% 83.15/52.78 tff(17184,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17185,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17184, 17183])).
% 83.15/52.78 tff(17186,plain,
% 83.15/52.78 (~v101(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17185, 66, 17179, 17176])).
% 83.15/52.78 tff(17187,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17188,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17189,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17188, 17187])).
% 83.15/52.78 tff(17190,plain,
% 83.15/52.78 (v101(constB121) | (~v100(constB121))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17189, 83, 17179])).
% 83.15/52.78 tff(17191,plain,
% 83.15/52.78 (~v100(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17190, 17186])).
% 83.15/52.78 tff(17192,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17193,plain,
% 83.15/52.78 (((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)) <=> ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17194,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17193])).
% 83.15/52.78 tff(17195,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17194, 17192])).
% 83.15/52.78 tff(17196,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17197,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 83.15/52.78 tff(17198,plain,
% 83.15/52.78 ((~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17197, 1374, 17179])).
% 83.15/52.78 tff(17199,plain,
% 83.15/52.78 ((~v90(constB120, 2)) | v90(constB121, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17198, 17191])).
% 83.15/52.78 tff(17200,plain,
% 83.15/52.78 (v90(constB121, 2)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17199, 17173])).
% 83.15/52.78 tff(17201,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17202,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17203,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 83.15/52.78 tff(17204,plain,
% 83.15/52.78 (v130(constB119, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17203, 1767, 17087])).
% 83.15/52.78 tff(17205,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17206,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17207,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17206, 17205])).
% 83.15/52.78 tff(17208,plain,
% 83.15/52.78 ((~v130(constB119, 1)) | v127(constB119, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17207, 818, 17102])).
% 83.15/52.78 tff(17209,plain,
% 83.15/52.78 (v127(constB119, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17208, 17204])).
% 83.15/52.78 tff(17210,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17211,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17212,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 83.15/52.78 tff(17213,plain,
% 83.15/52.78 ((~v127(constB119, 1)) | v129(constB120, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17212, 833, 17117])).
% 83.15/52.78 tff(17214,plain,
% 83.15/52.78 (v129(constB120, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17213, 17209])).
% 83.15/52.78 tff(17215,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17216,plain,
% 83.15/52.78 ((v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1))) <=> (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17217,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17216])).
% 83.15/52.78 tff(17218,plain,
% 83.15/52.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17217, 17215])).
% 83.15/52.78 tff(17219,plain,
% 83.15/52.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17220,plain,
% 83.15/52.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 83.15/52.78 tff(17221,plain,
% 83.15/52.78 (v90(constB120, 1) | (~v100(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17220, 848, 17214])).
% 83.15/52.78 tff(17222,plain,
% 83.15/52.78 (v90(constB120, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17221, 17151])).
% 83.15/52.78 tff(17223,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17224,plain,
% 83.15/52.78 (((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)) <=> ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17225,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17224])).
% 83.15/52.78 tff(17226,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17225, 17223])).
% 83.15/52.78 tff(17227,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17228,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17227, 17226])).
% 83.15/52.78 tff(17229,plain,
% 83.15/52.78 ((~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17228, 866, 17179])).
% 83.15/52.78 tff(17230,plain,
% 83.15/52.78 ((~v90(constB120, 1)) | v90(constB121, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17229, 17191])).
% 83.15/52.78 tff(17231,plain,
% 83.15/52.78 (v90(constB121, 1)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17230, 17222])).
% 83.15/52.78 tff(17232,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17233,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17234,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 83.15/52.78 tff(17235,plain,
% 83.15/52.78 (~v130(constB119, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17234, 1882, 17087])).
% 83.15/52.78 tff(17236,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17237,plain,
% 83.15/52.78 ((v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0))) <=> ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17238,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17237])).
% 83.15/52.78 tff(17239,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17238, 17236])).
% 83.15/52.78 tff(17240,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17241,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 83.15/52.78 tff(17242,plain,
% 83.15/52.78 ((~v127(constB119, 0)) | v130(constB119, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17241, 896, 17102])).
% 83.15/52.78 tff(17243,plain,
% 83.15/52.78 (~v127(constB119, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17242, 17235])).
% 83.15/52.78 tff(17244,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17245,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17246,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 83.15/52.78 tff(17247,plain,
% 83.15/52.78 (v127(constB119, 0) | (~v129(constB120, 0))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17246, 914, 17117])).
% 83.15/52.78 tff(17248,plain,
% 83.15/52.78 (~v129(constB120, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17247, 17243])).
% 83.15/52.78 tff(17249,plain,
% 83.15/52.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17250,plain,
% 83.15/52.78 (((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0)) <=> ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17251,plain,
% 83.15/52.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17250])).
% 83.15/52.78 tff(17252,plain,
% 83.15/52.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17251, 17249])).
% 83.15/52.78 tff(17253,plain,
% 83.15/52.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17254,plain,
% 83.15/52.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 83.15/52.78 tff(17255,plain,
% 83.15/52.78 ((~v90(constB120, 0)) | (~v100(constB120))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17254, 929, 17248])).
% 83.15/52.78 tff(17256,plain,
% 83.15/52.78 (~v90(constB120, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17255, 17151])).
% 83.15/52.78 tff(17257,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17258,plain,
% 83.15/52.78 (((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))) <=> (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17259,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17258])).
% 83.15/52.78 tff(17260,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17259, 17257])).
% 83.15/52.78 tff(17261,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17262,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 83.15/52.78 tff(17263,plain,
% 83.15/52.78 (v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17262, 140, 17179])).
% 83.15/52.78 tff(17264,plain,
% 83.15/52.78 (v90(constB120, 0) | (~v90(constB121, 0))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17263, 17191])).
% 83.15/52.78 tff(17265,plain,
% 83.15/52.78 (~v90(constB121, 0)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17264, 17256])).
% 83.15/52.78 tff(17266,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17267,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17268,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 83.15/52.78 tff(17269,plain,
% 83.15/52.78 (v125(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17268, 1934, 17265, 17231, 17200])).
% 83.15/52.78 tff(17270,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17271,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17272,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 83.15/52.78 tff(17273,plain,
% 83.15/52.78 (v113(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17272, 1946, 17269])).
% 83.15/52.78 tff(17274,assumption,(v26(constB121)), introduced(assumption)).
% 83.15/52.78 tff(17275,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17276,plain,
% 83.15/52.78 ($false),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17275, 19, 17274])).
% 83.15/52.78 tff(17277,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.78 tff(17278,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17279,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17280,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | (~v113(constB121)) | v112(constB121)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 83.15/52.78 tff(17281,plain,
% 83.15/52.78 ((~v113(constB121)) | v112(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17280, 256, 17277])).
% 83.15/52.78 tff(17282,plain,
% 83.15/52.78 (v112(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17281, 17273])).
% 83.15/52.78 tff(17283,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17284,plain,
% 83.15/52.78 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17285,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17284])).
% 83.15/52.78 tff(17286,plain,
% 83.15/52.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17285, 17283])).
% 83.15/52.78 tff(17287,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17288,plain,
% 83.15/52.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 83.15/52.78 tff(17289,plain,
% 83.15/52.78 (v108(constB121)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17288, 268, 17282])).
% 83.15/52.78 tff(17290,plain,
% 83.15/52.78 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17291,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 83.15/52.78 tff(17292,plain,
% 83.15/52.78 (nextState(constB121, constB122)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17291, 17290])).
% 83.15/52.78 tff(17293,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17294,plain,
% 83.15/52.78 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17295,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 83.15/52.78 inference(monotonicity,[status(thm)],[17294])).
% 83.15/52.78 tff(17296,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 83.15/52.78 inference(transitivity,[status(thm)],[17295, 17293])).
% 83.15/52.78 tff(17297,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17298,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17297, 17296])).
% 83.15/52.78 tff(17299,plain,
% 83.15/52.78 (v110(constB122) | (~v108(constB121))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17298, 288, 17292])).
% 83.15/52.78 tff(17300,plain,
% 83.15/52.78 (v110(constB122)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17299, 17289])).
% 83.15/52.78 tff(17301,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17302,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17303,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17302, 17301])).
% 83.15/52.78 tff(17304,plain,
% 83.15/52.78 (~v104(constB122)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17303, 306, 17292, 17176])).
% 83.15/52.78 tff(17305,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17306,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17307,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 83.15/52.78 tff(17308,plain,
% 83.15/52.78 (v102(constB122) | v104(constB122)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17307, 320, 17292])).
% 83.15/52.78 tff(17309,plain,
% 83.15/52.78 (v102(constB122)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17308, 17304])).
% 83.15/52.78 tff(17310,plain,
% 83.15/52.78 (v1(constB122) <=> v1(constB122)),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17311,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 83.15/52.78 tff(17312,plain,
% 83.15/52.78 (v1(constB122)),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17311, 17310])).
% 83.15/52.78 tff(17313,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17314,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 83.15/52.78 inference(quant_inst,[status(thm)],[])).
% 83.15/52.78 tff(17315,plain,
% 83.15/52.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 83.15/52.78 inference(modus_ponens,[status(thm)],[17314, 17313])).
% 83.15/52.78 tff(17316,plain,
% 83.15/52.78 (v101(constB122) | (~v102(constB122))),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17315, 338, 17292, 17312])).
% 83.15/52.78 tff(17317,plain,
% 83.15/52.78 (v101(constB122)),
% 83.15/52.78 inference(unit_resolution,[status(thm)],[17316, 17309])).
% 83.15/52.78 tff(17318,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17319,plain,
% 83.15/52.78 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 83.15/52.78 inference(rewrite,[status(thm)],[])).
% 83.15/52.78 tff(17320,plain,
% 83.15/52.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17319])).
% 83.15/52.79 tff(17321,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17320, 17318])).
% 83.15/52.79 tff(17322,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17323,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17322, 17321])).
% 83.15/52.79 tff(17324,plain,
% 83.15/52.79 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17323, 353, 17292])).
% 83.15/52.79 tff(17325,plain,
% 83.15/52.79 (v100(constB122) | (~v110(constB122))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17324, 17317])).
% 83.15/52.79 tff(17326,plain,
% 83.15/52.79 (v100(constB122)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17325, 17300])).
% 83.15/52.79 tff(17327,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17328,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17329,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17328, 17327])).
% 83.15/52.79 tff(17330,plain,
% 83.15/52.79 (~v119(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17329, 2028, 17231])).
% 83.15/52.79 tff(17331,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17332,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17333,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 83.15/52.79 tff(17334,plain,
% 83.15/52.79 (~v120(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17333, 2039, 17231])).
% 83.15/52.79 tff(17335,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17336,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17337,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 83.15/52.79 tff(17338,plain,
% 83.15/52.79 (~v123(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17337, 2050, 17231])).
% 83.15/52.79 tff(17339,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17340,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17341,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17340, 17339])).
% 83.15/52.79 tff(17342,plain,
% 83.15/52.79 (~v124(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17341, 2061, 17231])).
% 83.15/52.79 tff(17343,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17344,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17345,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 83.15/52.79 tff(17346,plain,
% 83.15/52.79 (~v121(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17345, 2017, 17200])).
% 83.15/52.79 tff(17347,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17348,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17349,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 83.15/52.79 tff(17350,plain,
% 83.15/52.79 (~v122(constB121)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17349, 2006, 17200])).
% 83.15/52.79 tff(17351,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17352,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17353,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17352, 17351])).
% 83.15/52.79 tff(17354,plain,
% 83.15/52.79 (~v130(constB121, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17353, 2075, 17350, 17346, 17342, 17338, 17334, 17330])).
% 83.15/52.79 tff(17355,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17356,plain,
% 83.15/52.79 ((v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2))) <=> ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17357,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17356])).
% 83.15/52.79 tff(17358,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17357, 17355])).
% 83.15/52.79 tff(17359,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17360,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 83.15/52.79 tff(17361,plain,
% 83.15/52.79 ((~v127(constB121, 2)) | v130(constB121, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17360, 556, 17277])).
% 83.15/52.79 tff(17362,plain,
% 83.15/52.79 (~v127(constB121, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17361, 17354])).
% 83.15/52.79 tff(17363,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17364,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17365,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17364, 17363])).
% 83.15/52.79 tff(17366,plain,
% 83.15/52.79 (v127(constB121, 2) | (~v129(constB122, 2))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17365, 574, 17292])).
% 83.15/52.79 tff(17367,plain,
% 83.15/52.79 (~v129(constB122, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17366, 17362])).
% 83.15/52.79 tff(17368,plain,
% 83.15/52.79 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17369,plain,
% 83.15/52.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17370,plain,
% 83.15/52.79 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 83.15/52.79 tff(17371,plain,
% 83.15/52.79 ((~v90(constB122, 2)) | (~v100(constB122))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17370, 589, 17367])).
% 83.15/52.79 tff(17372,plain,
% 83.15/52.79 (~v90(constB122, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17371, 17326])).
% 83.15/52.79 tff(17373,plain,
% 83.15/52.79 ((~v1(constB123)) <=> (~v1(constB123))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17374,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 83.15/52.79 tff(17375,plain,
% 83.15/52.79 (~v1(constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17374, 17373])).
% 83.15/52.79 tff(17376,plain,
% 83.15/52.79 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17377,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 83.15/52.79 tff(17378,plain,
% 83.15/52.79 (nextState(constB122, constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 83.15/52.79 tff(17379,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17380,plain,
% 83.15/52.79 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17381,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17380])).
% 83.15/52.79 tff(17382,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17381, 17379])).
% 83.15/52.79 tff(17383,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17384,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17383, 17382])).
% 83.15/52.79 tff(17385,plain,
% 83.15/52.79 (~v101(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17384, 66, 17378, 17375])).
% 83.15/52.79 tff(17386,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17387,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17388,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17387, 17386])).
% 83.15/52.79 tff(17389,plain,
% 83.15/52.79 (v101(constB123) | (~v100(constB123))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17388, 83, 17378])).
% 83.15/52.79 tff(17390,plain,
% 83.15/52.79 (~v100(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17389, 17385])).
% 83.15/52.79 tff(17391,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17392,plain,
% 83.15/52.79 (((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))) <=> (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17393,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17392])).
% 83.15/52.79 tff(17394,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17393, 17391])).
% 83.15/52.79 tff(17395,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17396,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17395, 17394])).
% 83.15/52.79 tff(17397,plain,
% 83.15/52.79 (v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17396, 98, 17378])).
% 83.15/52.79 tff(17398,plain,
% 83.15/52.79 (v90(constB122, 2) | (~v90(constB123, 2))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17397, 17390])).
% 83.15/52.79 tff(17399,plain,
% 83.15/52.79 (~v90(constB123, 2)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17398, 17372])).
% 83.15/52.79 tff(17400,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17401,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17402,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 83.15/52.79 tff(17403,plain,
% 83.15/52.79 (~v130(constB121, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17402, 2135, 17350, 17346, 17342, 17338, 17334, 17330])).
% 83.15/52.79 tff(17404,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17405,plain,
% 83.15/52.79 ((v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1))) <=> ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17406,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17405])).
% 83.15/52.79 tff(17407,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17406, 17404])).
% 83.15/52.79 tff(17408,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17409,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 83.15/52.79 tff(17410,plain,
% 83.15/52.79 ((~v127(constB121, 1)) | v130(constB121, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17409, 383, 17277])).
% 83.15/52.79 tff(17411,plain,
% 83.15/52.79 (~v127(constB121, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17410, 17403])).
% 83.15/52.79 tff(17412,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17413,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17414,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 83.15/52.79 tff(17415,plain,
% 83.15/52.79 (v127(constB121, 1) | (~v129(constB122, 1))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17414, 401, 17292])).
% 83.15/52.79 tff(17416,plain,
% 83.15/52.79 (~v129(constB122, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17415, 17411])).
% 83.15/52.79 tff(17417,plain,
% 83.15/52.79 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17418,plain,
% 83.15/52.79 (((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1)) <=> ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17419,plain,
% 83.15/52.79 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17418])).
% 83.15/52.79 tff(17420,plain,
% 83.15/52.79 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17419, 17417])).
% 83.15/52.79 tff(17421,plain,
% 83.15/52.79 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17422,plain,
% 83.15/52.79 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 83.15/52.79 tff(17423,plain,
% 83.15/52.79 ((~v90(constB122, 1)) | (~v100(constB122))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17422, 416, 17416])).
% 83.15/52.79 tff(17424,plain,
% 83.15/52.79 (~v90(constB122, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17423, 17326])).
% 83.15/52.79 tff(17425,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17426,plain,
% 83.15/52.79 (((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))) <=> (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17427,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17426])).
% 83.15/52.79 tff(17428,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17427, 17425])).
% 83.15/52.79 tff(17429,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17430,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 83.15/52.79 tff(17431,plain,
% 83.15/52.79 (v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17430, 119, 17378])).
% 83.15/52.79 tff(17432,plain,
% 83.15/52.79 (v90(constB122, 1) | (~v90(constB123, 1))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17431, 17390])).
% 83.15/52.79 tff(17433,plain,
% 83.15/52.79 (~v90(constB123, 1)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17432, 17424])).
% 83.15/52.79 tff(17434,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17435,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17436,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 83.15/52.79 tff(17437,plain,
% 83.15/52.79 (v130(constB121, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17436, 2180, 17350, 17346, 17342, 17338, 17334, 17330])).
% 83.15/52.79 tff(17438,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17439,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17440,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17439, 17438])).
% 83.15/52.79 tff(17441,plain,
% 83.15/52.79 ((~v130(constB121, 0)) | v127(constB121, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17440, 478, 17277])).
% 83.15/52.79 tff(17442,plain,
% 83.15/52.79 (v127(constB121, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17441, 17437])).
% 83.15/52.79 tff(17443,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17444,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17445,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 83.15/52.79 tff(17446,plain,
% 83.15/52.79 ((~v127(constB121, 0)) | v129(constB122, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17445, 493, 17292])).
% 83.15/52.79 tff(17447,plain,
% 83.15/52.79 (v129(constB122, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17446, 17442])).
% 83.15/52.79 tff(17448,plain,
% 83.15/52.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17449,plain,
% 83.15/52.79 ((v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0))) <=> (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17450,plain,
% 83.15/52.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17449])).
% 83.15/52.79 tff(17451,plain,
% 83.15/52.79 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17450, 17448])).
% 83.15/52.79 tff(17452,plain,
% 83.15/52.79 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17453,plain,
% 83.15/52.79 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17452, 17451])).
% 83.15/52.79 tff(17454,plain,
% 83.15/52.79 (v90(constB122, 0) | (~v100(constB122))),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17453, 508, 17447])).
% 83.15/52.79 tff(17455,plain,
% 83.15/52.79 (v90(constB122, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17454, 17326])).
% 83.15/52.79 tff(17456,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17457,plain,
% 83.15/52.79 (((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)) <=> ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17458,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17457])).
% 83.15/52.79 tff(17459,plain,
% 83.15/52.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17458, 17456])).
% 83.15/52.79 tff(17460,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17461,plain,
% 83.15/52.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 83.15/52.79 tff(17462,plain,
% 83.15/52.79 ((~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17461, 526, 17378])).
% 83.15/52.79 tff(17463,plain,
% 83.15/52.79 ((~v90(constB122, 0)) | v90(constB123, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17462, 17390])).
% 83.15/52.79 tff(17464,plain,
% 83.15/52.79 (v90(constB123, 0)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17463, 17455])).
% 83.15/52.79 tff(17465,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17466,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17467,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 83.15/52.79 tff(17468,plain,
% 83.15/52.79 (v120(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17467, 614, 17464, 17433, 17399])).
% 83.15/52.79 tff(17469,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17470,plain,
% 83.15/52.79 (((~v120(constB123)) | v118(constB123)) <=> (v118(constB123) | (~v120(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17471,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17470])).
% 83.15/52.79 tff(17472,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17471, 17469])).
% 83.15/52.79 tff(17473,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17474,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17473, 17472])).
% 83.15/52.79 tff(17475,plain,
% 83.15/52.79 (v118(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17474, 628, 17468])).
% 83.15/52.79 tff(17476,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB123)) | v117(constB123))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17477,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17478,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB123)) | v117(constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 83.15/52.79 tff(17479,plain,
% 83.15/52.79 (v117(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17478, 186, 17475])).
% 83.15/52.79 tff(17480,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17481,plain,
% 83.15/52.79 (((~v117(constB123)) | v116(constB123)) <=> (v116(constB123) | (~v117(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17482,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17481])).
% 83.15/52.79 tff(17483,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17482, 17480])).
% 83.15/52.79 tff(17484,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17485,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 83.15/52.79 tff(17486,plain,
% 83.15/52.79 (v116(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17485, 200, 17479])).
% 83.15/52.79 tff(17487,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17488,plain,
% 83.15/52.79 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17489,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17488])).
% 83.15/52.79 tff(17490,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 83.15/52.79 inference(transitivity,[status(thm)],[17489, 17487])).
% 83.15/52.79 tff(17491,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17492,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 83.15/52.79 tff(17493,plain,
% 83.15/52.79 (v115(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17492, 214, 17486])).
% 83.15/52.79 tff(17494,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB123)) | v114(constB123))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17495,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17496,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB123)) | v114(constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 83.15/52.79 tff(17497,plain,
% 83.15/52.79 (v114(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17496, 228, 17493])).
% 83.15/52.79 tff(17498,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB123)) | v113(constB123))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17499,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17500,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB123)) | v113(constB123)),
% 83.15/52.79 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 83.15/52.79 tff(17501,plain,
% 83.15/52.79 (v113(constB123)),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17500, 242, 17497])).
% 83.15/52.79 tff(17502,assumption,(v26(constB123)), introduced(assumption)).
% 83.15/52.79 tff(17503,plain,
% 83.15/52.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 83.15/52.79 inference(quant_inst,[status(thm)],[])).
% 83.15/52.79 tff(17504,plain,
% 83.15/52.79 ($false),
% 83.15/52.79 inference(unit_resolution,[status(thm)],[17503, 19, 17502])).
% 83.15/52.79 tff(17505,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 83.15/52.79 tff(17506,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17507,plain,
% 83.15/52.79 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 83.15/52.79 inference(rewrite,[status(thm)],[])).
% 83.15/52.79 tff(17508,plain,
% 83.15/52.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 83.15/52.79 inference(monotonicity,[status(thm)],[17507])).
% 83.15/52.79 tff(17509,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17508, 17506])).
% 83.15/52.80 tff(17510,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17511,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17510, 17509])).
% 83.15/52.80 tff(17512,plain,
% 83.15/52.80 (v112(constB123) | (~v113(constB123))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17511, 256, 17505])).
% 83.15/52.80 tff(17513,plain,
% 83.15/52.80 (v112(constB123)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17512, 17501])).
% 83.15/52.80 tff(17514,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17515,plain,
% 83.15/52.80 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17516,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 83.15/52.80 inference(monotonicity,[status(thm)],[17515])).
% 83.15/52.80 tff(17517,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17516, 17514])).
% 83.15/52.80 tff(17518,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17519,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 83.15/52.80 tff(17520,plain,
% 83.15/52.80 (v108(constB123)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17519, 268, 17513])).
% 83.15/52.80 tff(17521,plain,
% 83.15/52.80 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17522,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 83.15/52.80 tff(17523,plain,
% 83.15/52.80 (nextState(constB123, constB124)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 83.15/52.80 tff(17524,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17525,plain,
% 83.15/52.80 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17526,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 83.15/52.80 inference(monotonicity,[status(thm)],[17525])).
% 83.15/52.80 tff(17527,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17526, 17524])).
% 83.15/52.80 tff(17528,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17529,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 83.15/52.80 tff(17530,plain,
% 83.15/52.80 (v110(constB124) | (~v108(constB123))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17529, 288, 17523])).
% 83.15/52.80 tff(17531,plain,
% 83.15/52.80 (v110(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17530, 17520])).
% 83.15/52.80 tff(17532,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17533,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17534,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 83.15/52.80 tff(17535,plain,
% 83.15/52.80 (~v104(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17534, 306, 17523, 17375])).
% 83.15/52.80 tff(17536,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17537,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17538,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 83.15/52.80 tff(17539,plain,
% 83.15/52.80 (v102(constB124) | v104(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17538, 320, 17523])).
% 83.15/52.80 tff(17540,plain,
% 83.15/52.80 (v102(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17539, 17535])).
% 83.15/52.80 tff(17541,plain,
% 83.15/52.80 (v1(constB124) <=> v1(constB124)),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17542,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 83.15/52.80 tff(17543,plain,
% 83.15/52.80 (v1(constB124)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17542, 17541])).
% 83.15/52.80 tff(17544,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17545,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17546,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 83.15/52.80 tff(17547,plain,
% 83.15/52.80 (v101(constB124) | (~v102(constB124))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17546, 338, 17523, 17543])).
% 83.15/52.80 tff(17548,plain,
% 83.15/52.80 (v101(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17547, 17540])).
% 83.15/52.80 tff(17549,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17550,plain,
% 83.15/52.80 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17551,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 83.15/52.80 inference(monotonicity,[status(thm)],[17550])).
% 83.15/52.80 tff(17552,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17551, 17549])).
% 83.15/52.80 tff(17553,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17554,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 83.15/52.80 tff(17555,plain,
% 83.15/52.80 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17554, 353, 17523])).
% 83.15/52.80 tff(17556,plain,
% 83.15/52.80 (v100(constB124) | (~v110(constB124))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17555, 17548])).
% 83.15/52.80 tff(17557,plain,
% 83.15/52.80 (v100(constB124)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17556, 17531])).
% 83.15/52.80 tff(17558,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17559,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17560,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 83.15/52.80 tff(17561,plain,
% 83.15/52.80 (~v130(constB123, 2)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17560, 744, 17468])).
% 83.15/52.80 tff(17562,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17563,plain,
% 83.15/52.80 ((v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2))) <=> ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17564,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)))),
% 83.15/52.80 inference(monotonicity,[status(thm)],[17563])).
% 83.15/52.80 tff(17565,plain,
% 83.15/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17564, 17562])).
% 83.15/52.80 tff(17566,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17567,plain,
% 83.15/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 83.15/52.80 tff(17568,plain,
% 83.15/52.80 ((~v127(constB123, 2)) | v130(constB123, 2)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17567, 556, 17505])).
% 83.15/52.80 tff(17569,plain,
% 83.15/52.80 (~v127(constB123, 2)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17568, 17561])).
% 83.15/52.80 tff(17570,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17571,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17572,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 83.15/52.80 tff(17573,plain,
% 83.15/52.80 (v127(constB123, 2) | (~v129(constB124, 2))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17572, 574, 17523])).
% 83.15/52.80 tff(17574,plain,
% 83.15/52.80 (~v129(constB124, 2)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17573, 17569])).
% 83.15/52.80 tff(17575,plain,
% 83.15/52.80 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17576,plain,
% 83.15/52.80 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17577,plain,
% 83.15/52.80 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17576, 17575])).
% 83.15/52.80 tff(17578,plain,
% 83.15/52.80 ((~v90(constB124, 2)) | (~v100(constB124))),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17577, 589, 17574])).
% 83.15/52.80 tff(17579,plain,
% 83.15/52.80 (~v90(constB124, 2)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17578, 17557])).
% 83.15/52.80 tff(17580,plain,
% 83.15/52.80 ((~v1(constB125)) <=> (~v1(constB125))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17581,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 83.15/52.80 tff(17582,plain,
% 83.15/52.80 (~v1(constB125)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17581, 17580])).
% 83.15/52.80 tff(17583,plain,
% 83.15/52.80 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17584,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 83.15/52.80 tff(17585,plain,
% 83.15/52.80 (nextState(constB124, constB125)),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17584, 17583])).
% 83.15/52.80 tff(17586,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17587,plain,
% 83.15/52.80 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 83.15/52.80 inference(rewrite,[status(thm)],[])).
% 83.15/52.80 tff(17588,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 83.15/52.80 inference(monotonicity,[status(thm)],[17587])).
% 83.15/52.80 tff(17589,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 83.15/52.80 inference(transitivity,[status(thm)],[17588, 17586])).
% 83.15/52.80 tff(17590,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 83.15/52.80 inference(quant_inst,[status(thm)],[])).
% 83.15/52.80 tff(17591,plain,
% 83.15/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 83.15/52.80 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 83.15/52.80 tff(17592,plain,
% 83.15/52.80 (~v101(constB125)),
% 83.15/52.80 inference(unit_resolution,[status(thm)],[17591, 66, 17585, 17582])).
% 83.15/52.80 tff(17593,plain,
% 83.15/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17594,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17595,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 83.23/52.80 tff(17596,plain,
% 83.23/52.80 (v101(constB125) | (~v100(constB125))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17595, 83, 17585])).
% 83.23/52.80 tff(17597,plain,
% 83.23/52.80 (~v100(constB125)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17596, 17592])).
% 83.23/52.80 tff(17598,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17599,plain,
% 83.23/52.80 (((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))) <=> (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17600,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17599])).
% 83.23/52.80 tff(17601,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17600, 17598])).
% 83.23/52.80 tff(17602,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17603,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 83.23/52.80 tff(17604,plain,
% 83.23/52.80 (v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17603, 98, 17585])).
% 83.23/52.80 tff(17605,plain,
% 83.23/52.80 (v90(constB124, 2) | (~v90(constB125, 2))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17604, 17597])).
% 83.23/52.80 tff(17606,plain,
% 83.23/52.80 (~v90(constB125, 2)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17605, 17579])).
% 83.23/52.80 tff(17607,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17608,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17609,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 83.23/52.80 tff(17610,plain,
% 83.23/52.80 (v130(constB123, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17609, 804, 17468])).
% 83.23/52.80 tff(17611,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17612,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17613,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 83.23/52.80 tff(17614,plain,
% 83.23/52.80 ((~v130(constB123, 1)) | v127(constB123, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17613, 818, 17505])).
% 83.23/52.80 tff(17615,plain,
% 83.23/52.80 (v127(constB123, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17614, 17610])).
% 83.23/52.80 tff(17616,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17617,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17618,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17617, 17616])).
% 83.23/52.80 tff(17619,plain,
% 83.23/52.80 ((~v127(constB123, 1)) | v129(constB124, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17618, 833, 17523])).
% 83.23/52.80 tff(17620,plain,
% 83.23/52.80 (v129(constB124, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17619, 17615])).
% 83.23/52.80 tff(17621,plain,
% 83.23/52.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17622,plain,
% 83.23/52.80 ((v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1))) <=> (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17623,plain,
% 83.23/52.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17622])).
% 83.23/52.80 tff(17624,plain,
% 83.23/52.80 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17623, 17621])).
% 83.23/52.80 tff(17625,plain,
% 83.23/52.80 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17626,plain,
% 83.23/52.80 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 83.23/52.80 tff(17627,plain,
% 83.23/52.80 (v90(constB124, 1) | (~v100(constB124))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17626, 848, 17620])).
% 83.23/52.80 tff(17628,plain,
% 83.23/52.80 (v90(constB124, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17627, 17557])).
% 83.23/52.80 tff(17629,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17630,plain,
% 83.23/52.80 (((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)) <=> ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17631,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17630])).
% 83.23/52.80 tff(17632,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17631, 17629])).
% 83.23/52.80 tff(17633,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17634,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 83.23/52.80 tff(17635,plain,
% 83.23/52.80 ((~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17634, 866, 17585])).
% 83.23/52.80 tff(17636,plain,
% 83.23/52.80 ((~v90(constB124, 1)) | v90(constB125, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17635, 17597])).
% 83.23/52.80 tff(17637,plain,
% 83.23/52.80 (v90(constB125, 1)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17636, 17628])).
% 83.23/52.80 tff(17638,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17639,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17640,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 83.23/52.80 tff(17641,plain,
% 83.23/52.80 (~v130(constB123, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17640, 882, 17468])).
% 83.23/52.80 tff(17642,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17643,plain,
% 83.23/52.80 ((v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0))) <=> ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17644,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17643])).
% 83.23/52.80 tff(17645,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17644, 17642])).
% 83.23/52.80 tff(17646,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17647,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 83.23/52.80 tff(17648,plain,
% 83.23/52.80 ((~v127(constB123, 0)) | v130(constB123, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17647, 896, 17505])).
% 83.23/52.80 tff(17649,plain,
% 83.23/52.80 (~v127(constB123, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17648, 17641])).
% 83.23/52.80 tff(17650,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17651,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17652,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17651, 17650])).
% 83.23/52.80 tff(17653,plain,
% 83.23/52.80 (v127(constB123, 0) | (~v129(constB124, 0))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17652, 914, 17523])).
% 83.23/52.80 tff(17654,plain,
% 83.23/52.80 (~v129(constB124, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17653, 17649])).
% 83.23/52.80 tff(17655,plain,
% 83.23/52.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17656,plain,
% 83.23/52.80 (((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0)) <=> ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17657,plain,
% 83.23/52.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17656])).
% 83.23/52.80 tff(17658,plain,
% 83.23/52.80 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17657, 17655])).
% 83.23/52.80 tff(17659,plain,
% 83.23/52.80 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17660,plain,
% 83.23/52.80 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17659, 17658])).
% 83.23/52.80 tff(17661,plain,
% 83.23/52.80 ((~v90(constB124, 0)) | (~v100(constB124))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17660, 929, 17654])).
% 83.23/52.80 tff(17662,plain,
% 83.23/52.80 (~v90(constB124, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17661, 17557])).
% 83.23/52.80 tff(17663,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17664,plain,
% 83.23/52.80 (((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))) <=> (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17665,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17664])).
% 83.23/52.80 tff(17666,plain,
% 83.23/52.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17665, 17663])).
% 83.23/52.80 tff(17667,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17668,plain,
% 83.23/52.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17667, 17666])).
% 83.23/52.80 tff(17669,plain,
% 83.23/52.80 (v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17668, 140, 17585])).
% 83.23/52.80 tff(17670,plain,
% 83.23/52.80 (v90(constB124, 0) | (~v90(constB125, 0))),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17669, 17597])).
% 83.23/52.80 tff(17671,plain,
% 83.23/52.80 (~v90(constB125, 0)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17670, 17662])).
% 83.23/52.80 tff(17672,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17673,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17674,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 83.23/52.80 tff(17675,plain,
% 83.23/52.80 (v121(constB125)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17674, 956, 17671, 17637, 17606])).
% 83.23/52.80 tff(17676,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17677,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17678,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB125)) | v117(constB125)),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 83.23/52.80 tff(17679,plain,
% 83.23/52.80 (v117(constB125)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17678, 967, 17675])).
% 83.23/52.80 tff(17680,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17681,plain,
% 83.23/52.80 (((~v117(constB125)) | v116(constB125)) <=> (v116(constB125) | (~v117(constB125)))),
% 83.23/52.80 inference(rewrite,[status(thm)],[])).
% 83.23/52.80 tff(17682,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125))))),
% 83.23/52.80 inference(monotonicity,[status(thm)],[17681])).
% 83.23/52.80 tff(17683,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 83.23/52.80 inference(transitivity,[status(thm)],[17682, 17680])).
% 83.23/52.80 tff(17684,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 83.23/52.80 inference(quant_inst,[status(thm)],[])).
% 83.23/52.80 tff(17685,plain,
% 83.23/52.80 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125))),
% 83.23/52.80 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 83.23/52.80 tff(17686,plain,
% 83.23/52.80 (v116(constB125)),
% 83.23/52.80 inference(unit_resolution,[status(thm)],[17685, 200, 17679])).
% 83.23/52.80 tff(17687,plain,
% 83.23/52.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17688,plain,
% 83.23/52.81 (((~v116(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v116(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17689,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17688])).
% 83.23/52.81 tff(17690,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17689, 17687])).
% 83.23/52.81 tff(17691,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17692,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17691, 17690])).
% 83.23/52.81 tff(17693,plain,
% 83.23/52.81 (v115(constB125)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17692, 214, 17686])).
% 83.23/52.81 tff(17694,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB125)) | v114(constB125))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17695,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17696,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB125)) | v114(constB125)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17695, 17694])).
% 83.23/52.81 tff(17697,plain,
% 83.23/52.81 (v114(constB125)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17696, 228, 17693])).
% 83.23/52.81 tff(17698,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB125)) | v113(constB125))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17699,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17700,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB125)) | v113(constB125)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17699, 17698])).
% 83.23/52.81 tff(17701,plain,
% 83.23/52.81 (v113(constB125)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17700, 242, 17697])).
% 83.23/52.81 tff(17702,assumption,(v26(constB125)), introduced(assumption)).
% 83.23/52.81 tff(17703,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17704,plain,
% 83.23/52.81 ($false),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17703, 19, 17702])).
% 83.23/52.81 tff(17705,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.81 tff(17706,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17707,plain,
% 83.23/52.81 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17708,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17707])).
% 83.23/52.81 tff(17709,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17708, 17706])).
% 83.23/52.81 tff(17710,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17711,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 83.23/52.81 tff(17712,plain,
% 83.23/52.81 (v112(constB125) | (~v113(constB125))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17711, 256, 17705])).
% 83.23/52.81 tff(17713,plain,
% 83.23/52.81 (v112(constB125)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17712, 17701])).
% 83.23/52.81 tff(17714,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17715,plain,
% 83.23/52.81 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17716,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17715])).
% 83.23/52.81 tff(17717,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17716, 17714])).
% 83.23/52.81 tff(17718,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17719,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 83.23/52.81 tff(17720,plain,
% 83.23/52.81 (v108(constB125)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17719, 268, 17713])).
% 83.23/52.81 tff(17721,plain,
% 83.23/52.81 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17722,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 83.23/52.81 tff(17723,plain,
% 83.23/52.81 (nextState(constB125, constB126)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 83.23/52.81 tff(17724,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17725,plain,
% 83.23/52.81 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17726,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17725])).
% 83.23/52.81 tff(17727,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17726, 17724])).
% 83.23/52.81 tff(17728,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17729,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 83.23/52.81 tff(17730,plain,
% 83.23/52.81 (v110(constB126) | (~v108(constB125))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17729, 288, 17723])).
% 83.23/52.81 tff(17731,plain,
% 83.23/52.81 (v110(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17730, 17720])).
% 83.23/52.81 tff(17732,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17733,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17734,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 83.23/52.81 tff(17735,plain,
% 83.23/52.81 (~v104(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17734, 306, 17723, 17582])).
% 83.23/52.81 tff(17736,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17737,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17738,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17737, 17736])).
% 83.23/52.81 tff(17739,plain,
% 83.23/52.81 (v102(constB126) | v104(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17738, 320, 17723])).
% 83.23/52.81 tff(17740,plain,
% 83.23/52.81 (v102(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17739, 17735])).
% 83.23/52.81 tff(17741,plain,
% 83.23/52.81 (v1(constB126) <=> v1(constB126)),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17742,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 83.23/52.81 tff(17743,plain,
% 83.23/52.81 (v1(constB126)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17742, 17741])).
% 83.23/52.81 tff(17744,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17745,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17746,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 83.23/52.81 tff(17747,plain,
% 83.23/52.81 (v101(constB126) | (~v102(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17746, 338, 17723, 17743])).
% 83.23/52.81 tff(17748,plain,
% 83.23/52.81 (v101(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17747, 17740])).
% 83.23/52.81 tff(17749,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17750,plain,
% 83.23/52.81 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17751,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17750])).
% 83.23/52.81 tff(17752,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17751, 17749])).
% 83.23/52.81 tff(17753,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17754,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 83.23/52.81 tff(17755,plain,
% 83.23/52.81 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17754, 353, 17723])).
% 83.23/52.81 tff(17756,plain,
% 83.23/52.81 (v100(constB126) | (~v110(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17755, 17748])).
% 83.23/52.81 tff(17757,plain,
% 83.23/52.81 (v100(constB126)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17756, 17731])).
% 83.23/52.81 tff(17758,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17759,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17760,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17759, 17758])).
% 83.23/52.81 tff(17761,plain,
% 83.23/52.81 (~v130(constB125, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17760, 1052, 17675])).
% 83.23/52.81 tff(17762,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17763,plain,
% 83.23/52.81 ((v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2))) <=> ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17764,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17763])).
% 83.23/52.81 tff(17765,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17764, 17762])).
% 83.23/52.81 tff(17766,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17767,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17766, 17765])).
% 83.23/52.81 tff(17768,plain,
% 83.23/52.81 ((~v127(constB125, 2)) | v130(constB125, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17767, 556, 17705])).
% 83.23/52.81 tff(17769,plain,
% 83.23/52.81 (~v127(constB125, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17768, 17761])).
% 83.23/52.81 tff(17770,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17771,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17772,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17771, 17770])).
% 83.23/52.81 tff(17773,plain,
% 83.23/52.81 (v127(constB125, 2) | (~v129(constB126, 2))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17772, 574, 17723])).
% 83.23/52.81 tff(17774,plain,
% 83.23/52.81 (~v129(constB126, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17773, 17769])).
% 83.23/52.81 tff(17775,plain,
% 83.23/52.81 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17776,plain,
% 83.23/52.81 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17777,plain,
% 83.23/52.81 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 83.23/52.81 tff(17778,plain,
% 83.23/52.81 ((~v90(constB126, 2)) | (~v100(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17777, 589, 17774])).
% 83.23/52.81 tff(17779,plain,
% 83.23/52.81 (~v90(constB126, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17778, 17757])).
% 83.23/52.81 tff(17780,plain,
% 83.23/52.81 ((~v1(constB127)) <=> (~v1(constB127))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17781,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 83.23/52.81 tff(17782,plain,
% 83.23/52.81 (~v1(constB127)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17781, 17780])).
% 83.23/52.81 tff(17783,plain,
% 83.23/52.81 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17784,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 83.23/52.81 tff(17785,plain,
% 83.23/52.81 (nextState(constB126, constB127)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17784, 17783])).
% 83.23/52.81 tff(17786,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17787,plain,
% 83.23/52.81 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17788,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17787])).
% 83.23/52.81 tff(17789,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17788, 17786])).
% 83.23/52.81 tff(17790,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17791,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17790, 17789])).
% 83.23/52.81 tff(17792,plain,
% 83.23/52.81 (~v101(constB127)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17791, 66, 17785, 17782])).
% 83.23/52.81 tff(17793,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17794,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17795,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 83.23/52.81 tff(17796,plain,
% 83.23/52.81 (v101(constB127) | (~v100(constB127))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17795, 83, 17785])).
% 83.23/52.81 tff(17797,plain,
% 83.23/52.81 (~v100(constB127)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17796, 17792])).
% 83.23/52.81 tff(17798,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17799,plain,
% 83.23/52.81 (((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))) <=> (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17800,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17799])).
% 83.23/52.81 tff(17801,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17800, 17798])).
% 83.23/52.81 tff(17802,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17803,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 83.23/52.81 tff(17804,plain,
% 83.23/52.81 (v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17803, 98, 17785])).
% 83.23/52.81 tff(17805,plain,
% 83.23/52.81 (v90(constB126, 2) | (~v90(constB127, 2))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17804, 17797])).
% 83.23/52.81 tff(17806,plain,
% 83.23/52.81 (~v90(constB127, 2)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17805, 17779])).
% 83.23/52.81 tff(17807,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17808,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17809,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 83.23/52.81 tff(17810,plain,
% 83.23/52.81 (v130(constB125, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17809, 1108, 17675])).
% 83.23/52.81 tff(17811,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17812,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17813,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17812, 17811])).
% 83.23/52.81 tff(17814,plain,
% 83.23/52.81 ((~v130(constB125, 1)) | v127(constB125, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17813, 818, 17705])).
% 83.23/52.81 tff(17815,plain,
% 83.23/52.81 (v127(constB125, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17814, 17810])).
% 83.23/52.81 tff(17816,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17817,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17818,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17817, 17816])).
% 83.23/52.81 tff(17819,plain,
% 83.23/52.81 ((~v127(constB125, 1)) | v129(constB126, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17818, 833, 17723])).
% 83.23/52.81 tff(17820,plain,
% 83.23/52.81 (v129(constB126, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17819, 17815])).
% 83.23/52.81 tff(17821,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17822,plain,
% 83.23/52.81 ((v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1))) <=> (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17823,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17822])).
% 83.23/52.81 tff(17824,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17823, 17821])).
% 83.23/52.81 tff(17825,plain,
% 83.23/52.81 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17826,plain,
% 83.23/52.81 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17825, 17824])).
% 83.23/52.81 tff(17827,plain,
% 83.23/52.81 (v90(constB126, 1) | (~v100(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17826, 848, 17820])).
% 83.23/52.81 tff(17828,plain,
% 83.23/52.81 (v90(constB126, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17827, 17757])).
% 83.23/52.81 tff(17829,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17830,plain,
% 83.23/52.81 (((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)) <=> ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17831,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17830])).
% 83.23/52.81 tff(17832,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17831, 17829])).
% 83.23/52.81 tff(17833,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17834,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17833, 17832])).
% 83.23/52.81 tff(17835,plain,
% 83.23/52.81 ((~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17834, 866, 17785])).
% 83.23/52.81 tff(17836,plain,
% 83.23/52.81 ((~v90(constB126, 1)) | v90(constB127, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17835, 17797])).
% 83.23/52.81 tff(17837,plain,
% 83.23/52.81 (v90(constB127, 1)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17836, 17828])).
% 83.23/52.81 tff(17838,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17839,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17840,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 83.23/52.81 tff(17841,plain,
% 83.23/52.81 (v130(constB125, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17840, 1146, 17675])).
% 83.23/52.81 tff(17842,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17843,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17844,plain,
% 83.23/52.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 83.23/52.81 tff(17845,plain,
% 83.23/52.81 ((~v130(constB125, 0)) | v127(constB125, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17844, 478, 17705])).
% 83.23/52.81 tff(17846,plain,
% 83.23/52.81 (v127(constB125, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17845, 17841])).
% 83.23/52.81 tff(17847,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17848,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17849,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17848, 17847])).
% 83.23/52.81 tff(17850,plain,
% 83.23/52.81 ((~v127(constB125, 0)) | v129(constB126, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17849, 493, 17723])).
% 83.23/52.81 tff(17851,plain,
% 83.23/52.81 (v129(constB126, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17850, 17846])).
% 83.23/52.81 tff(17852,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17853,plain,
% 83.23/52.81 ((v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0))) <=> (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17854,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17853])).
% 83.23/52.81 tff(17855,plain,
% 83.23/52.81 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17854, 17852])).
% 83.23/52.81 tff(17856,plain,
% 83.23/52.81 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17857,plain,
% 83.23/52.81 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 83.23/52.81 tff(17858,plain,
% 83.23/52.81 (v90(constB126, 0) | (~v100(constB126))),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17857, 508, 17851])).
% 83.23/52.81 tff(17859,plain,
% 83.23/52.81 (v90(constB126, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17858, 17757])).
% 83.23/52.81 tff(17860,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17861,plain,
% 83.23/52.81 (((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)) <=> ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 83.23/52.81 inference(rewrite,[status(thm)],[])).
% 83.23/52.81 tff(17862,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)))),
% 83.23/52.81 inference(monotonicity,[status(thm)],[17861])).
% 83.23/52.81 tff(17863,plain,
% 83.23/52.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 83.23/52.81 inference(transitivity,[status(thm)],[17862, 17860])).
% 83.23/52.81 tff(17864,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))),
% 83.23/52.81 inference(quant_inst,[status(thm)],[])).
% 83.23/52.81 tff(17865,plain,
% 83.23/52.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)),
% 83.23/52.81 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 83.23/52.81 tff(17866,plain,
% 83.23/52.81 ((~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17865, 526, 17785])).
% 83.23/52.81 tff(17867,plain,
% 83.23/52.81 ((~v90(constB126, 0)) | v90(constB127, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17866, 17797])).
% 83.23/52.81 tff(17868,plain,
% 83.23/52.81 (v90(constB127, 0)),
% 83.23/52.81 inference(unit_resolution,[status(thm)],[17867, 17859])).
% 83.23/52.81 tff(17869,plain,
% 83.23/52.81 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17870,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17871,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17870, 17869])).
% 83.23/52.82 tff(17872,plain,
% 83.23/52.82 (v122(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17871, 1187, 17868, 17837, 17806])).
% 83.23/52.82 tff(17873,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17874,plain,
% 83.23/52.82 (((~v122(constB127)) | v116(constB127)) <=> (v116(constB127) | (~v122(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17875,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17874])).
% 83.23/52.82 tff(17876,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17875, 17873])).
% 83.23/52.82 tff(17877,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17878,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17877, 17876])).
% 83.23/52.82 tff(17879,plain,
% 83.23/52.82 (v116(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17878, 1257, 17872])).
% 83.23/52.82 tff(17880,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17881,plain,
% 83.23/52.82 (((~v116(constB127)) | v115(constB127)) <=> (v115(constB127) | (~v116(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17882,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17881])).
% 83.23/52.82 tff(17883,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17882, 17880])).
% 83.23/52.82 tff(17884,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17885,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 83.23/52.82 tff(17886,plain,
% 83.23/52.82 (v115(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17885, 214, 17879])).
% 83.23/52.82 tff(17887,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17888,plain,
% 83.23/52.82 (((~v115(constB127)) | v114(constB127)) <=> (v114(constB127) | (~v115(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17889,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB127) | (~v115(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17888])).
% 83.23/52.82 tff(17890,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17889, 17887])).
% 83.23/52.82 tff(17891,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17892,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB127) | (~v115(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17891, 17890])).
% 83.23/52.82 tff(17893,plain,
% 83.23/52.82 (v114(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17892, 228, 17886])).
% 83.23/52.82 tff(17894,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17895,plain,
% 83.23/52.82 (((~v114(constB127)) | v113(constB127)) <=> (v113(constB127) | (~v114(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17896,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB127) | (~v114(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17895])).
% 83.23/52.82 tff(17897,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17896, 17894])).
% 83.23/52.82 tff(17898,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17899,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB127) | (~v114(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 83.23/52.82 tff(17900,plain,
% 83.23/52.82 (v113(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17899, 242, 17893])).
% 83.23/52.82 tff(17901,assumption,(v26(constB127)), introduced(assumption)).
% 83.23/52.82 tff(17902,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17903,plain,
% 83.23/52.82 ($false),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17902, 19, 17901])).
% 83.23/52.82 tff(17904,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.82 tff(17905,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17906,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17907,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 83.23/52.82 tff(17908,plain,
% 83.23/52.82 ((~v113(constB127)) | v112(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17907, 256, 17904])).
% 83.23/52.82 tff(17909,plain,
% 83.23/52.82 (v112(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17908, 17900])).
% 83.23/52.82 tff(17910,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17911,plain,
% 83.23/52.82 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17912,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17911])).
% 83.23/52.82 tff(17913,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17912, 17910])).
% 83.23/52.82 tff(17914,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17915,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 83.23/52.82 tff(17916,plain,
% 83.23/52.82 (v108(constB127)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17915, 268, 17909])).
% 83.23/52.82 tff(17917,plain,
% 83.23/52.82 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17918,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 83.23/52.82 tff(17919,plain,
% 83.23/52.82 (nextState(constB127, constB128)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17918, 17917])).
% 83.23/52.82 tff(17920,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17921,plain,
% 83.23/52.82 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17922,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17921])).
% 83.23/52.82 tff(17923,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17922, 17920])).
% 83.23/52.82 tff(17924,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17925,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17924, 17923])).
% 83.23/52.82 tff(17926,plain,
% 83.23/52.82 (v110(constB128) | (~v108(constB127))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17925, 288, 17919])).
% 83.23/52.82 tff(17927,plain,
% 83.23/52.82 (v110(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17926, 17916])).
% 83.23/52.82 tff(17928,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17929,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17930,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 83.23/52.82 tff(17931,plain,
% 83.23/52.82 (~v104(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17930, 306, 17919, 17782])).
% 83.23/52.82 tff(17932,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17933,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17934,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 83.23/52.82 tff(17935,plain,
% 83.23/52.82 (v102(constB128) | v104(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17934, 320, 17919])).
% 83.23/52.82 tff(17936,plain,
% 83.23/52.82 (v102(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17935, 17931])).
% 83.23/52.82 tff(17937,plain,
% 83.23/52.82 (v1(constB128) <=> v1(constB128)),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17938,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 83.23/52.82 tff(17939,plain,
% 83.23/52.82 (v1(constB128)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 83.23/52.82 tff(17940,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17941,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17942,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17941, 17940])).
% 83.23/52.82 tff(17943,plain,
% 83.23/52.82 (v101(constB128) | (~v102(constB128))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17942, 338, 17919, 17939])).
% 83.23/52.82 tff(17944,plain,
% 83.23/52.82 (v101(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17943, 17936])).
% 83.23/52.82 tff(17945,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17946,plain,
% 83.23/52.82 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17947,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17946])).
% 83.23/52.82 tff(17948,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17947, 17945])).
% 83.23/52.82 tff(17949,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17950,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17949, 17948])).
% 83.23/52.82 tff(17951,plain,
% 83.23/52.82 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17950, 353, 17919])).
% 83.23/52.82 tff(17952,plain,
% 83.23/52.82 (v100(constB128) | (~v110(constB128))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17951, 17944])).
% 83.23/52.82 tff(17953,plain,
% 83.23/52.82 (v100(constB128)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17952, 17927])).
% 83.23/52.82 tff(17954,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17955,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17956,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 83.23/52.82 tff(17957,plain,
% 83.23/52.82 (v130(constB127, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17956, 1198, 17872])).
% 83.23/52.82 tff(17958,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17959,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17960,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 83.23/52.82 tff(17961,plain,
% 83.23/52.82 ((~v130(constB127, 2)) | v127(constB127, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17960, 1212, 17904])).
% 83.23/52.82 tff(17962,plain,
% 83.23/52.82 (v127(constB127, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17961, 17957])).
% 83.23/52.82 tff(17963,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17964,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17965,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 83.23/52.82 tff(17966,plain,
% 83.23/52.82 ((~v127(constB127, 2)) | v129(constB128, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17965, 1230, 17919])).
% 83.23/52.82 tff(17967,plain,
% 83.23/52.82 (v129(constB128, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17966, 17962])).
% 83.23/52.82 tff(17968,plain,
% 83.23/52.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17969,plain,
% 83.23/52.82 ((v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2))) <=> (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17970,plain,
% 83.23/52.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17969])).
% 83.23/52.82 tff(17971,plain,
% 83.23/52.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17970, 17968])).
% 83.23/52.82 tff(17972,plain,
% 83.23/52.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17973,plain,
% 83.23/52.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17972, 17971])).
% 83.23/52.82 tff(17974,plain,
% 83.23/52.82 (v90(constB128, 2) | (~v100(constB128))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17973, 1338, 17967])).
% 83.23/52.82 tff(17975,plain,
% 83.23/52.82 (v90(constB128, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17974, 17953])).
% 83.23/52.82 tff(17976,plain,
% 83.23/52.82 ((~v1(constB129)) <=> (~v1(constB129))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17977,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 83.23/52.82 tff(17978,plain,
% 83.23/52.82 (~v1(constB129)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17977, 17976])).
% 83.23/52.82 tff(17979,plain,
% 83.23/52.82 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17980,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 83.23/52.82 tff(17981,plain,
% 83.23/52.82 (nextState(constB128, constB129)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 83.23/52.82 tff(17982,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17983,plain,
% 83.23/52.82 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17984,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17983])).
% 83.23/52.82 tff(17985,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17984, 17982])).
% 83.23/52.82 tff(17986,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17987,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 83.23/52.82 tff(17988,plain,
% 83.23/52.82 (~v101(constB129)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17987, 66, 17981, 17978])).
% 83.23/52.82 tff(17989,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17990,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17991,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17990, 17989])).
% 83.23/52.82 tff(17992,plain,
% 83.23/52.82 (v101(constB129) | (~v100(constB129))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17991, 83, 17981])).
% 83.23/52.82 tff(17993,plain,
% 83.23/52.82 (~v100(constB129)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17992, 17988])).
% 83.23/52.82 tff(17994,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17995,plain,
% 83.23/52.82 (((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)) <=> ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(17996,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[17995])).
% 83.23/52.82 tff(17997,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 83.23/52.82 inference(transitivity,[status(thm)],[17996, 17994])).
% 83.23/52.82 tff(17998,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(17999,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[17998, 17997])).
% 83.23/52.82 tff(18000,plain,
% 83.23/52.82 ((~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[17999, 1374, 17981])).
% 83.23/52.82 tff(18001,plain,
% 83.23/52.82 ((~v90(constB128, 2)) | v90(constB129, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18000, 17993])).
% 83.23/52.82 tff(18002,plain,
% 83.23/52.82 (v90(constB129, 2)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18001, 17975])).
% 83.23/52.82 tff(18003,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18004,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18005,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18004, 18003])).
% 83.23/52.82 tff(18006,plain,
% 83.23/52.82 (~v130(constB127, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18005, 1390, 17872])).
% 83.23/52.82 tff(18007,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18008,plain,
% 83.23/52.82 ((v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1))) <=> ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18009,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[18008])).
% 83.23/52.82 tff(18010,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 83.23/52.82 inference(transitivity,[status(thm)],[18009, 18007])).
% 83.23/52.82 tff(18011,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18012,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 83.23/52.82 tff(18013,plain,
% 83.23/52.82 ((~v127(constB127, 1)) | v130(constB127, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18012, 383, 17904])).
% 83.23/52.82 tff(18014,plain,
% 83.23/52.82 (~v127(constB127, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18013, 18006])).
% 83.23/52.82 tff(18015,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18016,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18017,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18016, 18015])).
% 83.23/52.82 tff(18018,plain,
% 83.23/52.82 (v127(constB127, 1) | (~v129(constB128, 1))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18017, 401, 17919])).
% 83.23/52.82 tff(18019,plain,
% 83.23/52.82 (~v129(constB128, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18018, 18014])).
% 83.23/52.82 tff(18020,plain,
% 83.23/52.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18021,plain,
% 83.23/52.82 (((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1)) <=> ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18022,plain,
% 83.23/52.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[18021])).
% 83.23/52.82 tff(18023,plain,
% 83.23/52.82 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[18022, 18020])).
% 83.23/52.82 tff(18024,plain,
% 83.23/52.82 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18025,plain,
% 83.23/52.82 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 83.23/52.82 tff(18026,plain,
% 83.23/52.82 ((~v90(constB128, 1)) | (~v100(constB128))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18025, 416, 18019])).
% 83.23/52.82 tff(18027,plain,
% 83.23/52.82 (~v90(constB128, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18026, 17953])).
% 83.23/52.82 tff(18028,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18029,plain,
% 83.23/52.82 (((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))) <=> (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18030,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[18029])).
% 83.23/52.82 tff(18031,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 83.23/52.82 inference(transitivity,[status(thm)],[18030, 18028])).
% 83.23/52.82 tff(18032,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18033,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18032, 18031])).
% 83.23/52.82 tff(18034,plain,
% 83.23/52.82 (v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18033, 119, 17981])).
% 83.23/52.82 tff(18035,plain,
% 83.23/52.82 (v90(constB128, 1) | (~v90(constB129, 1))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18034, 17993])).
% 83.23/52.82 tff(18036,plain,
% 83.23/52.82 (~v90(constB129, 1)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18035, 18027])).
% 83.23/52.82 tff(18037,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18038,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18039,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18038, 18037])).
% 83.23/52.82 tff(18040,plain,
% 83.23/52.82 (~v130(constB127, 0)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18039, 1431, 17872])).
% 83.23/52.82 tff(18041,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18042,plain,
% 83.23/52.82 ((v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0))) <=> ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18043,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)))),
% 83.23/52.82 inference(monotonicity,[status(thm)],[18042])).
% 83.23/52.82 tff(18044,plain,
% 83.23/52.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 83.23/52.82 inference(transitivity,[status(thm)],[18043, 18041])).
% 83.23/52.82 tff(18045,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18046,plain,
% 83.23/52.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 83.23/52.82 tff(18047,plain,
% 83.23/52.82 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18046, 896, 17904])).
% 83.23/52.82 tff(18048,plain,
% 83.23/52.82 (~v127(constB127, 0)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18047, 18040])).
% 83.23/52.82 tff(18049,plain,
% 83.23/52.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 83.23/52.82 inference(rewrite,[status(thm)],[])).
% 83.23/52.82 tff(18050,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 83.23/52.82 inference(quant_inst,[status(thm)],[])).
% 83.23/52.82 tff(18051,plain,
% 83.23/52.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0))),
% 83.23/52.82 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 83.23/52.82 tff(18052,plain,
% 83.23/52.82 (v127(constB127, 0) | (~v129(constB128, 0))),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18051, 914, 17919])).
% 83.23/52.82 tff(18053,plain,
% 83.23/52.82 (~v129(constB128, 0)),
% 83.23/52.82 inference(unit_resolution,[status(thm)],[18052, 18048])).
% 83.23/52.82 tff(18054,plain,
% 83.23/52.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18055,plain,
% 83.23/52.83 (((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0)) <=> ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18056,plain,
% 83.23/52.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18055])).
% 83.23/52.83 tff(18057,plain,
% 83.23/52.83 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18056, 18054])).
% 83.23/52.83 tff(18058,plain,
% 83.23/52.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18059,plain,
% 83.23/52.83 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 83.23/52.83 tff(18060,plain,
% 83.23/52.83 ((~v90(constB128, 0)) | (~v100(constB128))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18059, 929, 18053])).
% 83.23/52.83 tff(18061,plain,
% 83.23/52.83 (~v90(constB128, 0)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18060, 17953])).
% 83.23/52.83 tff(18062,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18063,plain,
% 83.23/52.83 (((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))) <=> (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18064,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18063])).
% 83.23/52.83 tff(18065,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18064, 18062])).
% 83.23/52.83 tff(18066,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18067,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 83.23/52.83 tff(18068,plain,
% 83.23/52.83 (v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18067, 140, 17981])).
% 83.23/52.83 tff(18069,plain,
% 83.23/52.83 (v90(constB128, 0) | (~v90(constB129, 0))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18068, 17993])).
% 83.23/52.83 tff(18070,plain,
% 83.23/52.83 (~v90(constB129, 0)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18069, 18061])).
% 83.23/52.83 tff(18071,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18072,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18073,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18072, 18071])).
% 83.23/52.83 tff(18074,plain,
% 83.23/52.83 (v123(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18073, 1475, 18070, 18036, 18002])).
% 83.23/52.83 tff(18075,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18076,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18077,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB129)) | v115(constB129)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 83.23/52.83 tff(18078,plain,
% 83.23/52.83 (v115(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18077, 1486, 18074])).
% 83.23/52.83 tff(18079,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18080,plain,
% 83.23/52.83 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18081,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18080])).
% 83.23/52.83 tff(18082,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18081, 18079])).
% 83.23/52.83 tff(18083,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18084,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 83.23/52.83 tff(18085,plain,
% 83.23/52.83 (v114(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18084, 228, 18078])).
% 83.23/52.83 tff(18086,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18087,plain,
% 83.23/52.83 (((~v114(constB129)) | v113(constB129)) <=> (v113(constB129) | (~v114(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18088,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB129) | (~v114(constB129))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18087])).
% 83.23/52.83 tff(18089,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18088, 18086])).
% 83.23/52.83 tff(18090,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18091,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB129) | (~v114(constB129))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 83.23/52.83 tff(18092,plain,
% 83.23/52.83 (v113(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18091, 242, 18085])).
% 83.23/52.83 tff(18093,assumption,(v26(constB129)), introduced(assumption)).
% 83.23/52.83 tff(18094,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18095,plain,
% 83.23/52.83 ($false),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18094, 19, 18093])).
% 83.23/52.83 tff(18096,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.83 tff(18097,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18098,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18099,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 83.23/52.83 tff(18100,plain,
% 83.23/52.83 ((~v113(constB129)) | v112(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18099, 256, 18096])).
% 83.23/52.83 tff(18101,plain,
% 83.23/52.83 (v112(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18100, 18092])).
% 83.23/52.83 tff(18102,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18103,plain,
% 83.23/52.83 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18104,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18103])).
% 83.23/52.83 tff(18105,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18104, 18102])).
% 83.23/52.83 tff(18106,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18107,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18106, 18105])).
% 83.23/52.83 tff(18108,plain,
% 83.23/52.83 (v108(constB129)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18107, 268, 18101])).
% 83.23/52.83 tff(18109,plain,
% 83.23/52.83 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18110,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 83.23/52.83 tff(18111,plain,
% 83.23/52.83 (nextState(constB129, constB130)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 83.23/52.83 tff(18112,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18113,plain,
% 83.23/52.83 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18114,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18113])).
% 83.23/52.83 tff(18115,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18114, 18112])).
% 83.23/52.83 tff(18116,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18117,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18116, 18115])).
% 83.23/52.83 tff(18118,plain,
% 83.23/52.83 (v110(constB130) | (~v108(constB129))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18117, 288, 18111])).
% 83.23/52.83 tff(18119,plain,
% 83.23/52.83 (v110(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18118, 18108])).
% 83.23/52.83 tff(18120,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18121,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18122,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18121, 18120])).
% 83.23/52.83 tff(18123,plain,
% 83.23/52.83 (~v104(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18122, 306, 18111, 17978])).
% 83.23/52.83 tff(18124,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18125,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18126,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 83.23/52.83 tff(18127,plain,
% 83.23/52.83 (v102(constB130) | v104(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18126, 320, 18111])).
% 83.23/52.83 tff(18128,plain,
% 83.23/52.83 (v102(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18127, 18123])).
% 83.23/52.83 tff(18129,plain,
% 83.23/52.83 (v1(constB130) <=> v1(constB130)),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18130,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 83.23/52.83 tff(18131,plain,
% 83.23/52.83 (v1(constB130)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 83.23/52.83 tff(18132,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18133,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18134,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18133, 18132])).
% 83.23/52.83 tff(18135,plain,
% 83.23/52.83 (v101(constB130) | (~v102(constB130))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18134, 338, 18111, 18131])).
% 83.23/52.83 tff(18136,plain,
% 83.23/52.83 (v101(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18135, 18128])).
% 83.23/52.83 tff(18137,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18138,plain,
% 83.23/52.83 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18139,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18138])).
% 83.23/52.83 tff(18140,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18139, 18137])).
% 83.23/52.83 tff(18141,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18142,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18141, 18140])).
% 83.23/52.83 tff(18143,plain,
% 83.23/52.83 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18142, 353, 18111])).
% 83.23/52.83 tff(18144,plain,
% 83.23/52.83 (v100(constB130) | (~v110(constB130))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18143, 18136])).
% 83.23/52.83 tff(18145,plain,
% 83.23/52.83 (v100(constB130)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18144, 18119])).
% 83.23/52.83 tff(18146,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18147,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18148,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 83.23/52.83 tff(18149,plain,
% 83.23/52.83 (~v130(constB129, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18148, 1623, 18074])).
% 83.23/52.83 tff(18150,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18151,plain,
% 83.23/52.83 ((v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1))) <=> ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18152,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18151])).
% 83.23/52.83 tff(18153,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18152, 18150])).
% 83.23/52.83 tff(18154,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18155,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 83.23/52.83 tff(18156,plain,
% 83.23/52.83 ((~v127(constB129, 1)) | v130(constB129, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18155, 383, 18096])).
% 83.23/52.83 tff(18157,plain,
% 83.23/52.83 (~v127(constB129, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18156, 18149])).
% 83.23/52.83 tff(18158,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18159,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18160,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18159, 18158])).
% 83.23/52.83 tff(18161,plain,
% 83.23/52.83 (v127(constB129, 1) | (~v129(constB130, 1))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18160, 401, 18111])).
% 83.23/52.83 tff(18162,plain,
% 83.23/52.83 (~v129(constB130, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18161, 18157])).
% 83.23/52.83 tff(18163,plain,
% 83.23/52.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18164,plain,
% 83.23/52.83 (((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1)) <=> ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18165,plain,
% 83.23/52.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18164])).
% 83.23/52.83 tff(18166,plain,
% 83.23/52.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18165, 18163])).
% 83.23/52.83 tff(18167,plain,
% 83.23/52.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18168,plain,
% 83.23/52.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 83.23/52.83 tff(18169,plain,
% 83.23/52.83 ((~v90(constB130, 1)) | (~v100(constB130))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18168, 416, 18162])).
% 83.23/52.83 tff(18170,plain,
% 83.23/52.83 (~v90(constB130, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18169, 18145])).
% 83.23/52.83 tff(18171,plain,
% 83.23/52.83 ((~v1(constB131)) <=> (~v1(constB131))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18172,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 83.23/52.83 tff(18173,plain,
% 83.23/52.83 (~v1(constB131)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 83.23/52.83 tff(18174,plain,
% 83.23/52.83 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18175,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 83.23/52.83 tff(18176,plain,
% 83.23/52.83 (nextState(constB130, constB131)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 83.23/52.83 tff(18177,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18178,plain,
% 83.23/52.83 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18179,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18178])).
% 83.23/52.83 tff(18180,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18179, 18177])).
% 83.23/52.83 tff(18181,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18182,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18181, 18180])).
% 83.23/52.83 tff(18183,plain,
% 83.23/52.83 (~v101(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18182, 66, 18176, 18173])).
% 83.23/52.83 tff(18184,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18185,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18186,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 83.23/52.83 tff(18187,plain,
% 83.23/52.83 (v101(constB131) | (~v100(constB131))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18186, 83, 18176])).
% 83.23/52.83 tff(18188,plain,
% 83.23/52.83 (~v100(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18187, 18183])).
% 83.23/52.83 tff(18189,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18190,plain,
% 83.23/52.83 (((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))) <=> (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18191,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18190])).
% 83.23/52.83 tff(18192,plain,
% 83.23/52.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18191, 18189])).
% 83.23/52.83 tff(18193,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18194,plain,
% 83.23/52.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 83.23/52.83 tff(18195,plain,
% 83.23/52.83 (v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18194, 119, 18176])).
% 83.23/52.83 tff(18196,plain,
% 83.23/52.83 (v90(constB130, 1) | (~v90(constB131, 1))),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18195, 18188])).
% 83.23/52.83 tff(18197,plain,
% 83.23/52.83 (~v90(constB131, 1)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18196, 18170])).
% 83.23/52.83 tff(18198,assumption,(~v114(constB131)), introduced(assumption)).
% 83.23/52.83 tff(18199,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18200,plain,
% 83.23/52.83 (((~v115(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v115(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18201,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18200])).
% 83.23/52.83 tff(18202,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18201, 18199])).
% 83.23/52.83 tff(18203,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18204,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18203, 18202])).
% 83.23/52.83 tff(18205,plain,
% 83.23/52.83 (~v115(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18204, 228, 18198])).
% 83.23/52.83 tff(18206,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v123(constB131)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v123(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18207,plain,
% 83.23/52.83 (((~v123(constB131)) | v115(constB131)) <=> (v115(constB131) | (~v123(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18208,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB131) | (~v123(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18207])).
% 83.23/52.83 tff(18209,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v123(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18208, 18206])).
% 83.23/52.83 tff(18210,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18211,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB131) | (~v123(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 83.23/52.83 tff(18212,plain,
% 83.23/52.83 (~v123(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18211, 1486, 18205])).
% 83.23/52.83 tff(18213,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18214,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18215,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131)),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 83.23/52.83 tff(18216,plain,
% 83.23/52.83 (~v116(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18215, 214, 18205])).
% 83.23/52.83 tff(18217,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18218,plain,
% 83.23/52.83 (((~v117(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v117(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18219,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18218])).
% 83.23/52.83 tff(18220,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18219, 18217])).
% 83.23/52.83 tff(18221,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18222,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 83.23/52.83 tff(18223,plain,
% 83.23/52.83 (~v117(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18222, 200, 18216])).
% 83.23/52.83 tff(18224,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18225,plain,
% 83.23/52.83 (((~v118(constB131)) | v117(constB131)) <=> (v117(constB131) | (~v118(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18226,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v118(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18225])).
% 83.23/52.83 tff(18227,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18226, 18224])).
% 83.23/52.83 tff(18228,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18229,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 83.23/52.83 tff(18230,plain,
% 83.23/52.83 (~v118(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18229, 186, 18223])).
% 83.23/52.83 tff(18231,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v120(constB131)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18232,plain,
% 83.23/52.83 (((~v120(constB131)) | v118(constB131)) <=> (v118(constB131) | (~v120(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18233,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v120(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18232])).
% 83.23/52.83 tff(18234,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18233, 18231])).
% 83.23/52.83 tff(18235,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18236,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131))),
% 83.23/52.83 inference(modus_ponens,[status(thm)],[18235, 18234])).
% 83.23/52.83 tff(18237,plain,
% 83.23/52.83 (~v120(constB131)),
% 83.23/52.83 inference(unit_resolution,[status(thm)],[18236, 628, 18230])).
% 83.23/52.83 tff(18238,assumption,(~v90(constB131, 1)), introduced(assumption)).
% 83.23/52.83 tff(18239,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v119(constB131)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v119(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18240,plain,
% 83.23/52.83 (((~v119(constB131)) | v118(constB131)) <=> (v118(constB131) | (~v119(constB131)))),
% 83.23/52.83 inference(rewrite,[status(thm)],[])).
% 83.23/52.83 tff(18241,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v119(constB131))))),
% 83.23/52.83 inference(monotonicity,[status(thm)],[18240])).
% 83.23/52.83 tff(18242,plain,
% 83.23/52.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v119(constB131)))),
% 83.23/52.83 inference(transitivity,[status(thm)],[18241, 18239])).
% 83.23/52.83 tff(18243,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB131)) | v118(constB131))),
% 83.23/52.83 inference(quant_inst,[status(thm)],[])).
% 83.23/52.83 tff(18244,plain,
% 83.23/52.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v119(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 83.23/52.84 tff(18245,plain,
% 83.23/52.84 (~v119(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18244, 175, 18230])).
% 83.23/52.84 tff(18246,assumption,(~v119(constB131)), introduced(assumption)).
% 83.23/52.84 tff(18247,assumption,(~v90(constB131, 2)), introduced(assumption)).
% 83.23/52.84 tff(18248,assumption,(~v120(constB131)), introduced(assumption)).
% 83.23/52.84 tff(18249,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18250,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18251,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 83.23/52.84 tff(18252,plain,
% 83.23/52.84 ((~v90(constB131, 0)) | v90(constB131, 2) | v120(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18251, 614, 18238])).
% 83.23/52.84 tff(18253,plain,
% 83.23/52.84 (~v90(constB131, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18252, 18247, 18248])).
% 83.23/52.84 tff(18254,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18255,plain,
% 83.23/52.84 ((v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2)) <=> (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18256,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18255])).
% 83.23/52.84 tff(18257,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18256, 18254])).
% 83.23/52.84 tff(18258,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB131, 0) | v119(constB131) | v90(constB131, 1) | v90(constB131, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18259,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB131, 0) | v90(constB131, 1) | v90(constB131, 2) | v119(constB131)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 83.23/52.84 tff(18260,plain,
% 83.23/52.84 (v90(constB131, 0) | v90(constB131, 2) | v119(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18259, 161, 18238])).
% 83.23/52.84 tff(18261,plain,
% 83.23/52.84 ($false),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18260, 18253, 18247, 18246])).
% 83.23/52.84 tff(18262,plain,(v90(constB131, 2) | v119(constB131) | v90(constB131, 1) | v120(constB131)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.84 tff(18263,plain,
% 83.23/52.84 (v90(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18262, 18245, 18238, 18237])).
% 83.23/52.84 tff(18264,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18265,plain,
% 83.23/52.84 (((~v124(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v124(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18266,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v124(constB131))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18265])).
% 83.23/52.84 tff(18267,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18266, 18264])).
% 83.23/52.84 tff(18268,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18269,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18268, 18267])).
% 83.23/52.84 tff(18270,plain,
% 83.23/52.84 (~v124(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18269, 1741, 18198])).
% 83.23/52.84 tff(18271,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18272,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18273,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 83.23/52.84 tff(18274,plain,
% 83.23/52.84 ((~v90(constB131, 0)) | (~v90(constB131, 2)) | v124(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18273, 1705, 18238])).
% 83.23/52.84 tff(18275,plain,
% 83.23/52.84 (~v90(constB131, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18274, 18263, 18270])).
% 83.23/52.84 tff(18276,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18277,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18278,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18277, 18276])).
% 83.23/52.84 tff(18279,plain,
% 83.23/52.84 (v90(constB131, 0) | (~v90(constB131, 2)) | v123(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18278, 1475, 18238])).
% 83.23/52.84 tff(18280,plain,
% 83.23/52.84 ($false),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18279, 18275, 18263, 18212])).
% 83.23/52.84 tff(18281,plain,(v114(constB131) | v90(constB131, 1)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.84 tff(18282,plain,
% 83.23/52.84 (v114(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18281, 18197])).
% 83.23/52.84 tff(18283,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18284,plain,
% 83.23/52.84 (((~v114(constB131)) | v113(constB131)) <=> (v113(constB131) | (~v114(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18285,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18284])).
% 83.23/52.84 tff(18286,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18285, 18283])).
% 83.23/52.84 tff(18287,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18288,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 83.23/52.84 tff(18289,plain,
% 83.23/52.84 (v113(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18288, 242, 18282])).
% 83.23/52.84 tff(18290,assumption,(~v108(constB131)), introduced(assumption)).
% 83.23/52.84 tff(18291,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18292,plain,
% 83.23/52.84 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18293,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18292])).
% 83.23/52.84 tff(18294,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18293, 18291])).
% 83.23/52.84 tff(18295,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18296,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18295, 18294])).
% 83.23/52.84 tff(18297,plain,
% 83.23/52.84 (~v112(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18296, 268, 18290])).
% 83.23/52.84 tff(18298,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18299,plain,
% 83.23/52.84 (((~v26(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v26(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18300,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v26(constB131))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18299])).
% 83.23/52.84 tff(18301,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18300, 18298])).
% 83.23/52.84 tff(18302,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB131)) | v108(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18303,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v26(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 83.23/52.84 tff(18304,plain,
% 83.23/52.84 (~v26(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18303, 685, 18290])).
% 83.23/52.84 tff(18305,assumption,(v113(constB131)), introduced(assumption)).
% 83.23/52.84 tff(18306,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18307,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18308,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 83.23/52.84 tff(18309,plain,
% 83.23/52.84 (v26(constB131) | v112(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18308, 256, 18305])).
% 83.23/52.84 tff(18310,plain,
% 83.23/52.84 ($false),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18309, 18304, 18297])).
% 83.23/52.84 tff(18311,plain,(v108(constB131) | (~v113(constB131))), inference(lemma,lemma(discharge,[]))).
% 83.23/52.84 tff(18312,plain,
% 83.23/52.84 (v108(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18311, 18289])).
% 83.23/52.84 tff(18313,plain,
% 83.23/52.84 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18314,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 83.23/52.84 tff(18315,plain,
% 83.23/52.84 (nextState(constB131, constB132)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 83.23/52.84 tff(18316,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18317,plain,
% 83.23/52.84 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18318,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18317])).
% 83.23/52.84 tff(18319,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18318, 18316])).
% 83.23/52.84 tff(18320,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18321,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 83.23/52.84 tff(18322,plain,
% 83.23/52.84 (v110(constB132) | (~v108(constB131))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18321, 288, 18315])).
% 83.23/52.84 tff(18323,plain,
% 83.23/52.84 (v110(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18322, 18312])).
% 83.23/52.84 tff(18324,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18325,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18326,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 83.23/52.84 tff(18327,plain,
% 83.23/52.84 (~v104(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18326, 306, 18315, 18173])).
% 83.23/52.84 tff(18328,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18329,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18330,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 83.23/52.84 tff(18331,plain,
% 83.23/52.84 (v102(constB132) | v104(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18330, 320, 18315])).
% 83.23/52.84 tff(18332,plain,
% 83.23/52.84 (v102(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18331, 18327])).
% 83.23/52.84 tff(18333,plain,
% 83.23/52.84 (v1(constB132) <=> v1(constB132)),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18334,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 83.23/52.84 tff(18335,plain,
% 83.23/52.84 (v1(constB132)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 83.23/52.84 tff(18336,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18337,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18338,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18337, 18336])).
% 83.23/52.84 tff(18339,plain,
% 83.23/52.84 (v101(constB132) | (~v102(constB132))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18338, 338, 18315, 18335])).
% 83.23/52.84 tff(18340,plain,
% 83.23/52.84 (v101(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18339, 18332])).
% 83.23/52.84 tff(18341,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18342,plain,
% 83.23/52.84 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18343,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18342])).
% 83.23/52.84 tff(18344,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18343, 18341])).
% 83.23/52.84 tff(18345,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18346,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 83.23/52.84 tff(18347,plain,
% 83.23/52.84 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18346, 353, 18315])).
% 83.23/52.84 tff(18348,plain,
% 83.23/52.84 (v100(constB132) | (~v110(constB132))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18347, 18340])).
% 83.23/52.84 tff(18349,plain,
% 83.23/52.84 (v100(constB132)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18348, 18323])).
% 83.23/52.84 tff(18350,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18351,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18352,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 83.23/52.84 tff(18353,plain,
% 83.23/52.84 (v130(constB129, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18352, 1567, 18074])).
% 83.23/52.84 tff(18354,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18355,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18356,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18355, 18354])).
% 83.23/52.84 tff(18357,plain,
% 83.23/52.84 ((~v130(constB129, 2)) | v127(constB129, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18356, 1212, 18096])).
% 83.23/52.84 tff(18358,plain,
% 83.23/52.84 (v127(constB129, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18357, 18353])).
% 83.23/52.84 tff(18359,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18360,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18361,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 83.23/52.84 tff(18362,plain,
% 83.23/52.84 ((~v127(constB129, 2)) | v129(constB130, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18361, 1230, 18111])).
% 83.23/52.84 tff(18363,plain,
% 83.23/52.84 (v129(constB130, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18362, 18358])).
% 83.23/52.84 tff(18364,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18365,plain,
% 83.23/52.84 ((v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2))) <=> (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18366,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18365])).
% 83.23/52.84 tff(18367,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18366, 18364])).
% 83.23/52.84 tff(18368,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18369,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 83.23/52.84 tff(18370,plain,
% 83.23/52.84 (v90(constB130, 2) | (~v100(constB130))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18369, 1338, 18363])).
% 83.23/52.84 tff(18371,plain,
% 83.23/52.84 (v90(constB130, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18370, 18145])).
% 83.23/52.84 tff(18372,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18373,plain,
% 83.23/52.84 (((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)) <=> ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18374,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18373])).
% 83.23/52.84 tff(18375,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18374, 18372])).
% 83.23/52.84 tff(18376,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18377,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 83.23/52.84 tff(18378,plain,
% 83.23/52.84 ((~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18377, 1374, 18176])).
% 83.23/52.84 tff(18379,plain,
% 83.23/52.84 ((~v90(constB130, 2)) | v90(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18378, 18188])).
% 83.23/52.84 tff(18380,plain,
% 83.23/52.84 (v90(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18379, 18371])).
% 83.23/52.84 tff(18381,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18382,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18383,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 83.23/52.84 tff(18384,plain,
% 83.23/52.84 (v130(constB129, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18383, 1664, 18074])).
% 83.23/52.84 tff(18385,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18386,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18387,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 83.23/52.84 tff(18388,plain,
% 83.23/52.84 ((~v130(constB129, 0)) | v127(constB129, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18387, 478, 18096])).
% 83.23/52.84 tff(18389,plain,
% 83.23/52.84 (v127(constB129, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18388, 18384])).
% 83.23/52.84 tff(18390,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18391,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18392,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 83.23/52.84 tff(18393,plain,
% 83.23/52.84 ((~v127(constB129, 0)) | v129(constB130, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18392, 493, 18111])).
% 83.23/52.84 tff(18394,plain,
% 83.23/52.84 (v129(constB130, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18393, 18389])).
% 83.23/52.84 tff(18395,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18396,plain,
% 83.23/52.84 ((v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0))) <=> (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18397,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18396])).
% 83.23/52.84 tff(18398,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18397, 18395])).
% 83.23/52.84 tff(18399,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18400,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 83.23/52.84 tff(18401,plain,
% 83.23/52.84 (v90(constB130, 0) | (~v100(constB130))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18400, 508, 18394])).
% 83.23/52.84 tff(18402,plain,
% 83.23/52.84 (v90(constB130, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18401, 18145])).
% 83.23/52.84 tff(18403,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18404,plain,
% 83.23/52.84 (((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)) <=> ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18405,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18404])).
% 83.23/52.84 tff(18406,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18405, 18403])).
% 83.23/52.84 tff(18407,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18408,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 83.23/52.84 tff(18409,plain,
% 83.23/52.84 ((~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18408, 526, 18176])).
% 83.23/52.84 tff(18410,plain,
% 83.23/52.84 ((~v90(constB130, 0)) | v90(constB131, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18409, 18188])).
% 83.23/52.84 tff(18411,plain,
% 83.23/52.84 (v90(constB131, 0)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18410, 18402])).
% 83.23/52.84 tff(18412,plain,
% 83.23/52.84 (v124(constB131)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18273, 1705, 18411, 18197, 18380])).
% 83.23/52.84 tff(18413,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18414,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18415,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18414, 18413])).
% 83.23/52.84 tff(18416,plain,
% 83.23/52.84 (v130(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18415, 1716, 18412])).
% 83.23/52.84 tff(18417,assumption,(v26(constB131)), introduced(assumption)).
% 83.23/52.84 tff(18418,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18419,plain,
% 83.23/52.84 ($false),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18418, 19, 18417])).
% 83.23/52.84 tff(18420,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.84 tff(18421,plain,
% 83.23/52.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18422,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18423,plain,
% 83.23/52.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18422, 18421])).
% 83.23/52.84 tff(18424,plain,
% 83.23/52.84 ((~v130(constB131, 2)) | v127(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18423, 1212, 18420])).
% 83.23/52.84 tff(18425,plain,
% 83.23/52.84 (v127(constB131, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18424, 18416])).
% 83.23/52.84 tff(18426,plain,
% 83.23/52.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18427,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18428,plain,
% 83.23/52.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18427, 18426])).
% 83.23/52.84 tff(18429,plain,
% 83.23/52.84 ((~v127(constB131, 2)) | v129(constB132, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18428, 1230, 18315])).
% 83.23/52.84 tff(18430,plain,
% 83.23/52.84 (v129(constB132, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18429, 18425])).
% 83.23/52.84 tff(18431,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18432,plain,
% 83.23/52.84 ((v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2))) <=> (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18433,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))))),
% 83.23/52.84 inference(monotonicity,[status(thm)],[18432])).
% 83.23/52.84 tff(18434,plain,
% 83.23/52.84 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 83.23/52.84 inference(transitivity,[status(thm)],[18433, 18431])).
% 83.23/52.84 tff(18435,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))),
% 83.23/52.84 inference(quant_inst,[status(thm)],[])).
% 83.23/52.84 tff(18436,plain,
% 83.23/52.84 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18435, 18434])).
% 83.23/52.84 tff(18437,plain,
% 83.23/52.84 (v90(constB132, 2) | (~v100(constB132))),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18436, 1338, 18430])).
% 83.23/52.84 tff(18438,plain,
% 83.23/52.84 (v90(constB132, 2)),
% 83.23/52.84 inference(unit_resolution,[status(thm)],[18437, 18349])).
% 83.23/52.84 tff(18439,plain,
% 83.23/52.84 ((~v1(constB133)) <=> (~v1(constB133))),
% 83.23/52.84 inference(rewrite,[status(thm)],[])).
% 83.23/52.84 tff(18440,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 83.23/52.84 tff(18441,plain,
% 83.23/52.84 (~v1(constB133)),
% 83.23/52.84 inference(modus_ponens,[status(thm)],[18440, 18439])).
% 83.23/52.84 tff(18442,plain,
% 83.23/52.84 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18443,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 83.23/52.85 tff(18444,plain,
% 83.23/52.85 (nextState(constB132, constB133)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18443, 18442])).
% 83.23/52.85 tff(18445,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18446,plain,
% 83.23/52.85 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18447,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18446])).
% 83.23/52.85 tff(18448,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18447, 18445])).
% 83.23/52.85 tff(18449,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18450,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 83.23/52.85 tff(18451,plain,
% 83.23/52.85 (~v101(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18450, 66, 18444, 18441])).
% 83.23/52.85 tff(18452,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18453,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18454,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18453, 18452])).
% 83.23/52.85 tff(18455,plain,
% 83.23/52.85 (v101(constB133) | (~v100(constB133))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18454, 83, 18444])).
% 83.23/52.85 tff(18456,plain,
% 83.23/52.85 (~v100(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18455, 18451])).
% 83.23/52.85 tff(18457,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18458,plain,
% 83.23/52.85 (((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)) <=> ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18459,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18458])).
% 83.23/52.85 tff(18460,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18459, 18457])).
% 83.23/52.85 tff(18461,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18462,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 83.23/52.85 tff(18463,plain,
% 83.23/52.85 ((~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18462, 1374, 18444])).
% 83.23/52.85 tff(18464,plain,
% 83.23/52.85 ((~v90(constB132, 2)) | v90(constB133, 2)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18463, 18456])).
% 83.23/52.85 tff(18465,plain,
% 83.23/52.85 (v90(constB133, 2)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18464, 18438])).
% 83.23/52.85 tff(18466,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18467,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18468,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18467, 18466])).
% 83.23/52.85 tff(18469,plain,
% 83.23/52.85 (v130(constB131, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18468, 1767, 18412])).
% 83.23/52.85 tff(18470,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18471,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18472,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18471, 18470])).
% 83.23/52.85 tff(18473,plain,
% 83.23/52.85 ((~v130(constB131, 1)) | v127(constB131, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18472, 818, 18420])).
% 83.23/52.85 tff(18474,plain,
% 83.23/52.85 (v127(constB131, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18473, 18469])).
% 83.23/52.85 tff(18475,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18476,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18477,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18476, 18475])).
% 83.23/52.85 tff(18478,plain,
% 83.23/52.85 ((~v127(constB131, 1)) | v129(constB132, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18477, 833, 18315])).
% 83.23/52.85 tff(18479,plain,
% 83.23/52.85 (v129(constB132, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18478, 18474])).
% 83.23/52.85 tff(18480,plain,
% 83.23/52.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18481,plain,
% 83.23/52.85 ((v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1))) <=> (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18482,plain,
% 83.23/52.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18481])).
% 83.23/52.85 tff(18483,plain,
% 83.23/52.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18482, 18480])).
% 83.23/52.85 tff(18484,plain,
% 83.23/52.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18485,plain,
% 83.23/52.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18484, 18483])).
% 83.23/52.85 tff(18486,plain,
% 83.23/52.85 (v90(constB132, 1) | (~v100(constB132))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18485, 848, 18479])).
% 83.23/52.85 tff(18487,plain,
% 83.23/52.85 (v90(constB132, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18486, 18349])).
% 83.23/52.85 tff(18488,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18489,plain,
% 83.23/52.85 (((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)) <=> ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18490,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18489])).
% 83.23/52.85 tff(18491,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18490, 18488])).
% 83.23/52.85 tff(18492,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18493,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18492, 18491])).
% 83.23/52.85 tff(18494,plain,
% 83.23/52.85 ((~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18493, 866, 18444])).
% 83.23/52.85 tff(18495,plain,
% 83.23/52.85 ((~v90(constB132, 1)) | v90(constB133, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18494, 18456])).
% 83.23/52.85 tff(18496,plain,
% 83.23/52.85 (v90(constB133, 1)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18495, 18487])).
% 83.23/52.85 tff(18497,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18498,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18499,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18498, 18497])).
% 83.23/52.85 tff(18500,plain,
% 83.23/52.85 (~v130(constB131, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18499, 1882, 18412])).
% 83.23/52.85 tff(18501,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18502,plain,
% 83.23/52.85 ((v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0))) <=> ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18503,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18502])).
% 83.23/52.85 tff(18504,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18503, 18501])).
% 83.23/52.85 tff(18505,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18506,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18505, 18504])).
% 83.23/52.85 tff(18507,plain,
% 83.23/52.85 ((~v127(constB131, 0)) | v130(constB131, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18506, 896, 18420])).
% 83.23/52.85 tff(18508,plain,
% 83.23/52.85 (~v127(constB131, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18507, 18500])).
% 83.23/52.85 tff(18509,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18510,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18511,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18510, 18509])).
% 83.23/52.85 tff(18512,plain,
% 83.23/52.85 (v127(constB131, 0) | (~v129(constB132, 0))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18511, 914, 18315])).
% 83.23/52.85 tff(18513,plain,
% 83.23/52.85 (~v129(constB132, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18512, 18508])).
% 83.23/52.85 tff(18514,plain,
% 83.23/52.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18515,plain,
% 83.23/52.85 (((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0)) <=> ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18516,plain,
% 83.23/52.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18515])).
% 83.23/52.85 tff(18517,plain,
% 83.23/52.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18516, 18514])).
% 83.23/52.85 tff(18518,plain,
% 83.23/52.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18519,plain,
% 83.23/52.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18518, 18517])).
% 83.23/52.85 tff(18520,plain,
% 83.23/52.85 ((~v90(constB132, 0)) | (~v100(constB132))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18519, 929, 18513])).
% 83.23/52.85 tff(18521,plain,
% 83.23/52.85 (~v90(constB132, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18520, 18349])).
% 83.23/52.85 tff(18522,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18523,plain,
% 83.23/52.85 (((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))) <=> (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18524,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18523])).
% 83.23/52.85 tff(18525,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18524, 18522])).
% 83.23/52.85 tff(18526,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18527,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18526, 18525])).
% 83.23/52.85 tff(18528,plain,
% 83.23/52.85 (v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18527, 140, 18444])).
% 83.23/52.85 tff(18529,plain,
% 83.23/52.85 (v90(constB132, 0) | (~v90(constB133, 0))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18528, 18456])).
% 83.23/52.85 tff(18530,plain,
% 83.23/52.85 (~v90(constB133, 0)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18529, 18521])).
% 83.23/52.85 tff(18531,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18532,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18533,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18532, 18531])).
% 83.23/52.85 tff(18534,plain,
% 83.23/52.85 (v125(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18533, 1934, 18530, 18496, 18465])).
% 83.23/52.85 tff(18535,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB133)) | v113(constB133))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18536,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18537,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB133)) | v113(constB133)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 83.23/52.85 tff(18538,plain,
% 83.23/52.85 (v113(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18537, 1946, 18534])).
% 83.23/52.85 tff(18539,assumption,(v26(constB133)), introduced(assumption)).
% 83.23/52.85 tff(18540,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18541,plain,
% 83.23/52.85 ($false),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18540, 19, 18539])).
% 83.23/52.85 tff(18542,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.85 tff(18543,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18544,plain,
% 83.23/52.85 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18545,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18544])).
% 83.23/52.85 tff(18546,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18545, 18543])).
% 83.23/52.85 tff(18547,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18548,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 83.23/52.85 tff(18549,plain,
% 83.23/52.85 (v112(constB133) | (~v113(constB133))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18548, 256, 18542])).
% 83.23/52.85 tff(18550,plain,
% 83.23/52.85 (v112(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18549, 18538])).
% 83.23/52.85 tff(18551,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18552,plain,
% 83.23/52.85 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18553,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18552])).
% 83.23/52.85 tff(18554,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18553, 18551])).
% 83.23/52.85 tff(18555,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18556,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18555, 18554])).
% 83.23/52.85 tff(18557,plain,
% 83.23/52.85 (v108(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18556, 268, 18550])).
% 83.23/52.85 tff(18558,plain,
% 83.23/52.85 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18559,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 83.23/52.85 tff(18560,plain,
% 83.23/52.85 (nextState(constB133, constB134)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 83.23/52.85 tff(18561,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18562,plain,
% 83.23/52.85 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18563,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18562])).
% 83.23/52.85 tff(18564,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18563, 18561])).
% 83.23/52.85 tff(18565,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18566,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 83.23/52.85 tff(18567,plain,
% 83.23/52.85 (v110(constB134) | (~v108(constB133))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18566, 288, 18560])).
% 83.23/52.85 tff(18568,plain,
% 83.23/52.85 (v110(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18567, 18557])).
% 83.23/52.85 tff(18569,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18570,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18571,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 83.23/52.85 tff(18572,plain,
% 83.23/52.85 (~v104(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18571, 306, 18560, 18441])).
% 83.23/52.85 tff(18573,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18574,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18575,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 83.23/52.85 tff(18576,plain,
% 83.23/52.85 (v102(constB134) | v104(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18575, 320, 18560])).
% 83.23/52.85 tff(18577,plain,
% 83.23/52.85 (v102(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18576, 18572])).
% 83.23/52.85 tff(18578,plain,
% 83.23/52.85 (v1(constB134) <=> v1(constB134)),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18579,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 83.23/52.85 tff(18580,plain,
% 83.23/52.85 (v1(constB134)),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18579, 18578])).
% 83.23/52.85 tff(18581,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18582,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18583,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 83.23/52.85 tff(18584,plain,
% 83.23/52.85 (v101(constB134) | (~v102(constB134))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18583, 338, 18560, 18580])).
% 83.23/52.85 tff(18585,plain,
% 83.23/52.85 (v101(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18584, 18577])).
% 83.23/52.85 tff(18586,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18587,plain,
% 83.23/52.85 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18588,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 83.23/52.85 inference(monotonicity,[status(thm)],[18587])).
% 83.23/52.85 tff(18589,plain,
% 83.23/52.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 83.23/52.85 inference(transitivity,[status(thm)],[18588, 18586])).
% 83.23/52.85 tff(18590,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18591,plain,
% 83.23/52.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 83.23/52.85 tff(18592,plain,
% 83.23/52.85 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18591, 353, 18560])).
% 83.23/52.85 tff(18593,plain,
% 83.23/52.85 (v100(constB134) | (~v110(constB134))),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18592, 18585])).
% 83.23/52.85 tff(18594,plain,
% 83.23/52.85 (v100(constB134)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18593, 18568])).
% 83.23/52.85 tff(18595,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18596,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18597,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18596, 18595])).
% 83.23/52.85 tff(18598,plain,
% 83.23/52.85 (~v121(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18597, 2017, 18465])).
% 83.23/52.85 tff(18599,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18600,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18601,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 83.23/52.85 tff(18602,plain,
% 83.23/52.85 (~v122(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18601, 2006, 18465])).
% 83.23/52.85 tff(18603,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18604,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18605,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18604, 18603])).
% 83.23/52.85 tff(18606,plain,
% 83.23/52.85 (~v119(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18605, 2028, 18496])).
% 83.23/52.85 tff(18607,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18608,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18609,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 83.23/52.85 tff(18610,plain,
% 83.23/52.85 (~v120(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18609, 2039, 18496])).
% 83.23/52.85 tff(18611,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18612,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18613,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18612, 18611])).
% 83.23/52.85 tff(18614,plain,
% 83.23/52.85 (~v123(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18613, 2050, 18496])).
% 83.23/52.85 tff(18615,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(rewrite,[status(thm)],[])).
% 83.23/52.85 tff(18616,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))),
% 83.23/52.85 inference(quant_inst,[status(thm)],[])).
% 83.23/52.85 tff(18617,plain,
% 83.23/52.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1))),
% 83.23/52.85 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 83.23/52.85 tff(18618,plain,
% 83.23/52.85 (~v124(constB133)),
% 83.23/52.85 inference(unit_resolution,[status(thm)],[18617, 2061, 18496])).
% 83.23/52.85 tff(18619,plain,
% 83.23/52.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18620,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18621,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18620, 18619])).
% 83.23/52.86 tff(18622,plain,
% 83.23/52.86 (~v130(constB133, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18621, 2075, 18618, 18614, 18610, 18606, 18602, 18598])).
% 83.23/52.86 tff(18623,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18624,plain,
% 83.23/52.86 ((v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2))) <=> ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18625,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18624])).
% 83.23/52.86 tff(18626,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18625, 18623])).
% 83.23/52.86 tff(18627,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18628,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 83.23/52.86 tff(18629,plain,
% 83.23/52.86 ((~v127(constB133, 2)) | v130(constB133, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18628, 556, 18542])).
% 83.23/52.86 tff(18630,plain,
% 83.23/52.86 (~v127(constB133, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18629, 18622])).
% 83.23/52.86 tff(18631,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18632,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18633,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18632, 18631])).
% 83.23/52.86 tff(18634,plain,
% 83.23/52.86 (v127(constB133, 2) | (~v129(constB134, 2))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18633, 574, 18560])).
% 83.23/52.86 tff(18635,plain,
% 83.23/52.86 (~v129(constB134, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18634, 18630])).
% 83.23/52.86 tff(18636,plain,
% 83.23/52.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18637,plain,
% 83.23/52.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18638,plain,
% 83.23/52.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 83.23/52.86 tff(18639,plain,
% 83.23/52.86 ((~v90(constB134, 2)) | (~v100(constB134))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18638, 589, 18635])).
% 83.23/52.86 tff(18640,plain,
% 83.23/52.86 (~v90(constB134, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18639, 18594])).
% 83.23/52.86 tff(18641,plain,
% 83.23/52.86 ((~v1(constB135)) <=> (~v1(constB135))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18642,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 83.23/52.86 tff(18643,plain,
% 83.23/52.86 (~v1(constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 83.23/52.86 tff(18644,plain,
% 83.23/52.86 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18645,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 83.23/52.86 tff(18646,plain,
% 83.23/52.86 (nextState(constB134, constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18645, 18644])).
% 83.23/52.86 tff(18647,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18648,plain,
% 83.23/52.86 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18649,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18648])).
% 83.23/52.86 tff(18650,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18649, 18647])).
% 83.23/52.86 tff(18651,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18652,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18651, 18650])).
% 83.23/52.86 tff(18653,plain,
% 83.23/52.86 (~v101(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18652, 66, 18646, 18643])).
% 83.23/52.86 tff(18654,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18655,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18656,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 83.23/52.86 tff(18657,plain,
% 83.23/52.86 (v101(constB135) | (~v100(constB135))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18656, 83, 18646])).
% 83.23/52.86 tff(18658,plain,
% 83.23/52.86 (~v100(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18657, 18653])).
% 83.23/52.86 tff(18659,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18660,plain,
% 83.23/52.86 (((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))) <=> (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18661,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18660])).
% 83.23/52.86 tff(18662,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18661, 18659])).
% 83.23/52.86 tff(18663,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18664,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18663, 18662])).
% 83.23/52.86 tff(18665,plain,
% 83.23/52.86 (v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18664, 98, 18646])).
% 83.23/52.86 tff(18666,plain,
% 83.23/52.86 (v90(constB134, 2) | (~v90(constB135, 2))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18665, 18658])).
% 83.23/52.86 tff(18667,plain,
% 83.23/52.86 (~v90(constB135, 2)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18666, 18640])).
% 83.23/52.86 tff(18668,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18669,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18670,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18669, 18668])).
% 83.23/52.86 tff(18671,plain,
% 83.23/52.86 (~v130(constB133, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18670, 2135, 18618, 18614, 18610, 18606, 18602, 18598])).
% 83.23/52.86 tff(18672,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18673,plain,
% 83.23/52.86 ((v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1))) <=> ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18674,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18673])).
% 83.23/52.86 tff(18675,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18674, 18672])).
% 83.23/52.86 tff(18676,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18677,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 83.23/52.86 tff(18678,plain,
% 83.23/52.86 ((~v127(constB133, 1)) | v130(constB133, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18677, 383, 18542])).
% 83.23/52.86 tff(18679,plain,
% 83.23/52.86 (~v127(constB133, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18678, 18671])).
% 83.23/52.86 tff(18680,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18681,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18682,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18681, 18680])).
% 83.23/52.86 tff(18683,plain,
% 83.23/52.86 (v127(constB133, 1) | (~v129(constB134, 1))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18682, 401, 18560])).
% 83.23/52.86 tff(18684,plain,
% 83.23/52.86 (~v129(constB134, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18683, 18679])).
% 83.23/52.86 tff(18685,plain,
% 83.23/52.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18686,plain,
% 83.23/52.86 (((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1)) <=> ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18687,plain,
% 83.23/52.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18686])).
% 83.23/52.86 tff(18688,plain,
% 83.23/52.86 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18687, 18685])).
% 83.23/52.86 tff(18689,plain,
% 83.23/52.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18690,plain,
% 83.23/52.86 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 83.23/52.86 tff(18691,plain,
% 83.23/52.86 ((~v90(constB134, 1)) | (~v100(constB134))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18690, 416, 18684])).
% 83.23/52.86 tff(18692,plain,
% 83.23/52.86 (~v90(constB134, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18691, 18594])).
% 83.23/52.86 tff(18693,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18694,plain,
% 83.23/52.86 (((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))) <=> (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18695,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18694])).
% 83.23/52.86 tff(18696,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18695, 18693])).
% 83.23/52.86 tff(18697,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18698,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 83.23/52.86 tff(18699,plain,
% 83.23/52.86 (v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18698, 119, 18646])).
% 83.23/52.86 tff(18700,plain,
% 83.23/52.86 (v90(constB134, 1) | (~v90(constB135, 1))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18699, 18658])).
% 83.23/52.86 tff(18701,plain,
% 83.23/52.86 (~v90(constB135, 1)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18700, 18692])).
% 83.23/52.86 tff(18702,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18703,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18704,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 83.23/52.86 tff(18705,plain,
% 83.23/52.86 (v130(constB133, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18704, 2180, 18618, 18614, 18610, 18606, 18602, 18598])).
% 83.23/52.86 tff(18706,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18707,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18708,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 83.23/52.86 tff(18709,plain,
% 83.23/52.86 ((~v130(constB133, 0)) | v127(constB133, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18708, 478, 18542])).
% 83.23/52.86 tff(18710,plain,
% 83.23/52.86 (v127(constB133, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18709, 18705])).
% 83.23/52.86 tff(18711,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18712,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18713,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18712, 18711])).
% 83.23/52.86 tff(18714,plain,
% 83.23/52.86 ((~v127(constB133, 0)) | v129(constB134, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18713, 493, 18560])).
% 83.23/52.86 tff(18715,plain,
% 83.23/52.86 (v129(constB134, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18714, 18710])).
% 83.23/52.86 tff(18716,plain,
% 83.23/52.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18717,plain,
% 83.23/52.86 ((v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0))) <=> (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18718,plain,
% 83.23/52.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18717])).
% 83.23/52.86 tff(18719,plain,
% 83.23/52.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18718, 18716])).
% 83.23/52.86 tff(18720,plain,
% 83.23/52.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18721,plain,
% 83.23/52.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18720, 18719])).
% 83.23/52.86 tff(18722,plain,
% 83.23/52.86 (v90(constB134, 0) | (~v100(constB134))),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18721, 508, 18715])).
% 83.23/52.86 tff(18723,plain,
% 83.23/52.86 (v90(constB134, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18722, 18594])).
% 83.23/52.86 tff(18724,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18725,plain,
% 83.23/52.86 (((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)) <=> ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18726,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18725])).
% 83.23/52.86 tff(18727,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18726, 18724])).
% 83.23/52.86 tff(18728,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18729,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18728, 18727])).
% 83.23/52.86 tff(18730,plain,
% 83.23/52.86 ((~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18729, 526, 18646])).
% 83.23/52.86 tff(18731,plain,
% 83.23/52.86 ((~v90(constB134, 0)) | v90(constB135, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18730, 18658])).
% 83.23/52.86 tff(18732,plain,
% 83.23/52.86 (v90(constB135, 0)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18731, 18723])).
% 83.23/52.86 tff(18733,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18734,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18735,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18734, 18733])).
% 83.23/52.86 tff(18736,plain,
% 83.23/52.86 (v120(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18735, 614, 18732, 18701, 18667])).
% 83.23/52.86 tff(18737,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18738,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18739,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 83.23/52.86 tff(18740,plain,
% 83.23/52.86 (v118(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18739, 628, 18736])).
% 83.23/52.86 tff(18741,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18742,plain,
% 83.23/52.86 (((~v118(constB135)) | v117(constB135)) <=> (v117(constB135) | (~v118(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18743,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18742])).
% 83.23/52.86 tff(18744,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18743, 18741])).
% 83.23/52.86 tff(18745,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18746,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 83.23/52.86 tff(18747,plain,
% 83.23/52.86 (v117(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18746, 186, 18740])).
% 83.23/52.86 tff(18748,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18749,plain,
% 83.23/52.86 (((~v117(constB135)) | v116(constB135)) <=> (v116(constB135) | (~v117(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18750,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB135) | (~v117(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18749])).
% 83.23/52.86 tff(18751,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18750, 18748])).
% 83.23/52.86 tff(18752,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18753,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB135) | (~v117(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18752, 18751])).
% 83.23/52.86 tff(18754,plain,
% 83.23/52.86 (v116(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18753, 200, 18747])).
% 83.23/52.86 tff(18755,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18756,plain,
% 83.23/52.86 (((~v116(constB135)) | v115(constB135)) <=> (v115(constB135) | (~v116(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18757,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB135) | (~v116(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18756])).
% 83.23/52.86 tff(18758,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18757, 18755])).
% 83.23/52.86 tff(18759,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18760,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB135) | (~v116(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 83.23/52.86 tff(18761,plain,
% 83.23/52.86 (v115(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18760, 214, 18754])).
% 83.23/52.86 tff(18762,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18763,plain,
% 83.23/52.86 (((~v115(constB135)) | v114(constB135)) <=> (v114(constB135) | (~v115(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18764,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18763])).
% 83.23/52.86 tff(18765,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18764, 18762])).
% 83.23/52.86 tff(18766,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18767,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 83.23/52.86 tff(18768,plain,
% 83.23/52.86 (v114(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18767, 228, 18761])).
% 83.23/52.86 tff(18769,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB135)) | v113(constB135))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18770,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18771,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB135)) | v113(constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 83.23/52.86 tff(18772,plain,
% 83.23/52.86 (v113(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18771, 242, 18768])).
% 83.23/52.86 tff(18773,assumption,(v26(constB135)), introduced(assumption)).
% 83.23/52.86 tff(18774,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18775,plain,
% 83.23/52.86 ($false),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18774, 19, 18773])).
% 83.23/52.86 tff(18776,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 83.23/52.86 tff(18777,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18778,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18779,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 83.23/52.86 tff(18780,plain,
% 83.23/52.86 ((~v113(constB135)) | v112(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18779, 256, 18776])).
% 83.23/52.86 tff(18781,plain,
% 83.23/52.86 (v112(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18780, 18772])).
% 83.23/52.86 tff(18782,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18783,plain,
% 83.23/52.86 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18784,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18783])).
% 83.23/52.86 tff(18785,plain,
% 83.23/52.86 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18784, 18782])).
% 83.23/52.86 tff(18786,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 83.23/52.86 inference(quant_inst,[status(thm)],[])).
% 83.23/52.86 tff(18787,plain,
% 83.23/52.86 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 83.23/52.86 tff(18788,plain,
% 83.23/52.86 (v108(constB135)),
% 83.23/52.86 inference(unit_resolution,[status(thm)],[18787, 268, 18781])).
% 83.23/52.86 tff(18789,plain,
% 83.23/52.86 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18790,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 83.23/52.86 tff(18791,plain,
% 83.23/52.86 (nextState(constB135, constB136)),
% 83.23/52.86 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 83.23/52.86 tff(18792,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18793,plain,
% 83.23/52.86 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 83.23/52.86 inference(rewrite,[status(thm)],[])).
% 83.23/52.86 tff(18794,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 83.23/52.86 inference(monotonicity,[status(thm)],[18793])).
% 83.23/52.86 tff(18795,plain,
% 83.23/52.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 83.23/52.86 inference(transitivity,[status(thm)],[18794, 18792])).
% 83.23/52.86 tff(18796,plain,
% 83.23/52.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18797,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18796, 18795])).
% 83.23/52.87 tff(18798,plain,
% 83.23/52.87 (v110(constB136) | (~v108(constB135))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18797, 288, 18791])).
% 83.23/52.87 tff(18799,plain,
% 83.23/52.87 (v110(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18798, 18788])).
% 83.23/52.87 tff(18800,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18801,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18802,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18801, 18800])).
% 83.23/52.87 tff(18803,plain,
% 83.23/52.87 (~v104(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18802, 306, 18791, 18643])).
% 83.23/52.87 tff(18804,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18805,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18806,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18805, 18804])).
% 83.23/52.87 tff(18807,plain,
% 83.23/52.87 (v102(constB136) | v104(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18806, 320, 18791])).
% 83.23/52.87 tff(18808,plain,
% 83.23/52.87 (v102(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18807, 18803])).
% 83.23/52.87 tff(18809,plain,
% 83.23/52.87 (v1(constB136) <=> v1(constB136)),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18810,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 83.23/52.87 tff(18811,plain,
% 83.23/52.87 (v1(constB136)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18810, 18809])).
% 83.23/52.87 tff(18812,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18813,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18814,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 83.23/52.87 tff(18815,plain,
% 83.23/52.87 (v101(constB136) | (~v102(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18814, 338, 18791, 18811])).
% 83.23/52.87 tff(18816,plain,
% 83.23/52.87 (v101(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18815, 18808])).
% 83.23/52.87 tff(18817,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18818,plain,
% 83.23/52.87 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18819,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18818])).
% 83.23/52.87 tff(18820,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18819, 18817])).
% 83.23/52.87 tff(18821,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18822,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 83.23/52.87 tff(18823,plain,
% 83.23/52.87 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18822, 353, 18791])).
% 83.23/52.87 tff(18824,plain,
% 83.23/52.87 (v100(constB136) | (~v110(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18823, 18816])).
% 83.23/52.87 tff(18825,plain,
% 83.23/52.87 (v100(constB136)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18824, 18799])).
% 83.23/52.87 tff(18826,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18827,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18828,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 83.23/52.87 tff(18829,plain,
% 83.23/52.87 (~v130(constB135, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18828, 744, 18736])).
% 83.23/52.87 tff(18830,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18831,plain,
% 83.23/52.87 ((v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2))) <=> ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18832,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18831])).
% 83.23/52.87 tff(18833,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18832, 18830])).
% 83.23/52.87 tff(18834,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18835,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 83.23/52.87 tff(18836,plain,
% 83.23/52.87 ((~v127(constB135, 2)) | v130(constB135, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18835, 556, 18776])).
% 83.23/52.87 tff(18837,plain,
% 83.23/52.87 (~v127(constB135, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18836, 18829])).
% 83.23/52.87 tff(18838,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18839,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18840,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 83.23/52.87 tff(18841,plain,
% 83.23/52.87 (v127(constB135, 2) | (~v129(constB136, 2))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18840, 574, 18791])).
% 83.23/52.87 tff(18842,plain,
% 83.23/52.87 (~v129(constB136, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18841, 18837])).
% 83.23/52.87 tff(18843,plain,
% 83.23/52.87 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18844,plain,
% 83.23/52.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18845,plain,
% 83.23/52.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18844, 18843])).
% 83.23/52.87 tff(18846,plain,
% 83.23/52.87 ((~v90(constB136, 2)) | (~v100(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18845, 589, 18842])).
% 83.23/52.87 tff(18847,plain,
% 83.23/52.87 (~v90(constB136, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18846, 18825])).
% 83.23/52.87 tff(18848,plain,
% 83.23/52.87 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18849,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 83.23/52.87 tff(18850,plain,
% 83.23/52.87 (nextState(constB136, constB137)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 83.23/52.87 tff(18851,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18852,plain,
% 83.23/52.87 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18853,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18852])).
% 83.23/52.87 tff(18854,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18853, 18851])).
% 83.23/52.87 tff(18855,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18856,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 83.23/52.87 tff(18857,plain,
% 83.23/52.87 (~v101(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18856, 66, 18850, 16473])).
% 83.23/52.87 tff(18858,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18859,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18860,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18859, 18858])).
% 83.23/52.87 tff(18861,plain,
% 83.23/52.87 (v101(constB137) | (~v100(constB137))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18860, 83, 18850])).
% 83.23/52.87 tff(18862,plain,
% 83.23/52.87 (~v100(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18861, 18857])).
% 83.23/52.87 tff(18863,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18864,plain,
% 83.23/52.87 (((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))) <=> (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18865,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18864])).
% 83.23/52.87 tff(18866,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18865, 18863])).
% 83.23/52.87 tff(18867,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18868,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18867, 18866])).
% 83.23/52.87 tff(18869,plain,
% 83.23/52.87 (v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18868, 98, 18850])).
% 83.23/52.87 tff(18870,plain,
% 83.23/52.87 (v90(constB136, 2) | (~v90(constB137, 2))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18869, 18862])).
% 83.23/52.87 tff(18871,plain,
% 83.23/52.87 (~v90(constB137, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18870, 18847])).
% 83.23/52.87 tff(18872,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18873,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB137, 2)) | v90(constB137, 2))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18874,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB137, 2)) | v90(constB137, 2)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 83.23/52.87 tff(18875,plain,
% 83.23/52.87 (~v88(constB137, 2)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18874, 3360, 18871])).
% 83.23/52.87 tff(18876,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18877,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18878,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 83.23/52.87 tff(18879,plain,
% 83.23/52.87 (~v130(constB135, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18878, 882, 18736])).
% 83.23/52.87 tff(18880,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18881,plain,
% 83.23/52.87 ((v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0))) <=> ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18882,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18881])).
% 83.23/52.87 tff(18883,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18882, 18880])).
% 83.23/52.87 tff(18884,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18885,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 83.23/52.87 tff(18886,plain,
% 83.23/52.87 ((~v127(constB135, 0)) | v130(constB135, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18885, 896, 18776])).
% 83.23/52.87 tff(18887,plain,
% 83.23/52.87 (~v127(constB135, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18886, 18879])).
% 83.23/52.87 tff(18888,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18889,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18890,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 83.23/52.87 tff(18891,plain,
% 83.23/52.87 (v127(constB135, 0) | (~v129(constB136, 0))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18890, 914, 18791])).
% 83.23/52.87 tff(18892,plain,
% 83.23/52.87 (~v129(constB136, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18891, 18887])).
% 83.23/52.87 tff(18893,plain,
% 83.23/52.87 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18894,plain,
% 83.23/52.87 (((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0)) <=> ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18895,plain,
% 83.23/52.87 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18894])).
% 83.23/52.87 tff(18896,plain,
% 83.23/52.87 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18895, 18893])).
% 83.23/52.87 tff(18897,plain,
% 83.23/52.87 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18898,plain,
% 83.23/52.87 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18897, 18896])).
% 83.23/52.87 tff(18899,plain,
% 83.23/52.87 ((~v90(constB136, 0)) | (~v100(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18898, 929, 18892])).
% 83.23/52.87 tff(18900,plain,
% 83.23/52.87 (~v90(constB136, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18899, 18825])).
% 83.23/52.87 tff(18901,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18902,plain,
% 83.23/52.87 (((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))) <=> (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18903,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18902])).
% 83.23/52.87 tff(18904,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18903, 18901])).
% 83.23/52.87 tff(18905,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18906,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18905, 18904])).
% 83.23/52.87 tff(18907,plain,
% 83.23/52.87 (v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18906, 140, 18850])).
% 83.23/52.87 tff(18908,plain,
% 83.23/52.87 (v90(constB136, 0) | (~v90(constB137, 0))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18907, 18862])).
% 83.23/52.87 tff(18909,plain,
% 83.23/52.87 (~v90(constB137, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18908, 18900])).
% 83.23/52.87 tff(18910,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18911,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB137, 0)) | v90(constB137, 0))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18912,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB137, 0)) | v90(constB137, 0)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 83.23/52.87 tff(18913,plain,
% 83.23/52.87 (~v88(constB137, 0)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18912, 3705, 18909])).
% 83.23/52.87 tff(18914,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18915,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18916,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 83.23/52.87 tff(18917,plain,
% 83.23/52.87 (v130(constB135, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18916, 804, 18736])).
% 83.23/52.87 tff(18918,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18919,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18920,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 83.23/52.87 tff(18921,plain,
% 83.23/52.87 ((~v130(constB135, 1)) | v127(constB135, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18920, 818, 18776])).
% 83.23/52.87 tff(18922,plain,
% 83.23/52.87 (v127(constB135, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18921, 18917])).
% 83.23/52.87 tff(18923,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18924,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18925,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18924, 18923])).
% 83.23/52.87 tff(18926,plain,
% 83.23/52.87 ((~v127(constB135, 1)) | v129(constB136, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18925, 833, 18791])).
% 83.23/52.87 tff(18927,plain,
% 83.23/52.87 (v129(constB136, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18926, 18922])).
% 83.23/52.87 tff(18928,plain,
% 83.23/52.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18929,plain,
% 83.23/52.87 ((v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1))) <=> (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18930,plain,
% 83.23/52.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18929])).
% 83.23/52.87 tff(18931,plain,
% 83.23/52.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18930, 18928])).
% 83.23/52.87 tff(18932,plain,
% 83.23/52.87 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18933,plain,
% 83.23/52.87 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18932, 18931])).
% 83.23/52.87 tff(18934,plain,
% 83.23/52.87 (v90(constB136, 1) | (~v100(constB136))),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18933, 848, 18927])).
% 83.23/52.87 tff(18935,plain,
% 83.23/52.87 (v90(constB136, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18934, 18825])).
% 83.23/52.87 tff(18936,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18937,plain,
% 83.23/52.87 (((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)) <=> ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18938,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18937])).
% 83.23/52.87 tff(18939,plain,
% 83.23/52.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18938, 18936])).
% 83.23/52.87 tff(18940,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18941,plain,
% 83.23/52.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 83.23/52.87 tff(18942,plain,
% 83.23/52.87 ((~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18941, 866, 18850])).
% 83.23/52.87 tff(18943,plain,
% 83.23/52.87 ((~v90(constB136, 1)) | v90(constB137, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18942, 18862])).
% 83.23/52.87 tff(18944,plain,
% 83.23/52.87 (v90(constB137, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18943, 18935])).
% 83.23/52.87 tff(18945,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18946,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB137, 1)) | v88(constB137, 1))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18947,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB137, 1)) | v88(constB137, 1)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 83.23/52.87 tff(18948,plain,
% 83.23/52.87 (v88(constB137, 1)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18947, 3727, 18944])).
% 83.23/52.87 tff(18949,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18950,plain,
% 83.23/52.87 ((v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137)) <=> (v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18951,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137)))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18950])).
% 83.23/52.87 tff(18952,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18951, 18949])).
% 83.23/52.87 tff(18953,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB137, 2) | (~v88(constB137, 1)) | v88(constB137, 0) | v143(constB137))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18954,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB137, 0) | v88(constB137, 2) | (~v88(constB137, 1)) | v143(constB137)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18953, 18952])).
% 83.23/52.87 tff(18955,plain,
% 83.23/52.87 (v143(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18954, 15886, 18948, 18913, 18875])).
% 83.23/52.87 tff(18956,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18957,plain,
% 83.23/52.87 (((~v143(constB137)) | v142(constB137)) <=> (v142(constB137) | (~v143(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18958,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB137) | (~v143(constB137))))),
% 83.23/52.87 inference(monotonicity,[status(thm)],[18957])).
% 83.23/52.87 tff(18959,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137)))),
% 83.23/52.87 inference(transitivity,[status(thm)],[18958, 18956])).
% 83.23/52.87 tff(18960,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB137)) | v142(constB137))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18961,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB137) | (~v143(constB137))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 83.23/52.87 tff(18962,plain,
% 83.23/52.87 (v142(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18961, 15900, 18955])).
% 83.23/52.87 tff(18963,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB137)) | v227(constB137))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB137)) | v227(constB137))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18964,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB137)) | v227(constB137))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18965,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB137)) | v227(constB137)),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18964, 18963])).
% 83.23/52.87 tff(18966,plain,
% 83.23/52.87 (v227(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18965, 3766, 18962])).
% 83.23/52.87 tff(18967,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB137) | (~v227(constB137)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB137) | (~v227(constB137)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18968,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB137) | (~v227(constB137)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18969,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB137) | (~v227(constB137))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 83.23/52.87 tff(18970,plain,
% 83.23/52.87 (v226(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18969, 3517, 18966])).
% 83.23/52.87 tff(18971,plain,
% 83.23/52.87 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1)))),
% 83.23/52.87 inference(rewrite,[status(thm)],[])).
% 83.23/52.87 tff(18972,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB137)) | (~v88(constB137, 1)))),
% 83.23/52.87 inference(quant_inst,[status(thm)],[])).
% 83.23/52.87 tff(18973,plain,
% 83.23/52.87 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB137)) | (~v88(constB137, 1))),
% 83.23/52.87 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 83.23/52.87 tff(18974,plain,
% 83.23/52.87 (~v139(constB137)),
% 83.23/52.87 inference(unit_resolution,[status(thm)],[18973, 3958, 18948])).
% 83.23/52.87 tff(18975,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18976,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB137)) | (~v88(constB137, 1)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(18977,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB137)) | (~v88(constB137, 1))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 83.23/52.88 tff(18978,plain,
% 83.23/52.88 (~v140(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18977, 3969, 18948])).
% 83.23/52.88 tff(18979,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18980,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(18981,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[18980, 18979])).
% 83.23/52.88 tff(18982,plain,
% 83.23/52.88 (~v168(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18981, 3983, 18978, 18974])).
% 83.23/52.88 tff(18983,plain,
% 83.23/52.88 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB137)) | v168(constB137) | (~v226(constB137)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | v168(constB137) | (~v226(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18984,plain,
% 83.23/52.88 (((~v226(constB137)) | v168(constB137) | (~v161(constB137))) <=> ((~v161(constB137)) | v168(constB137) | (~v226(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18985,plain,
% 83.23/52.88 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB137)) | v168(constB137) | (~v161(constB137)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB137)) | v168(constB137) | (~v226(constB137))))),
% 83.23/52.88 inference(monotonicity,[status(thm)],[18984])).
% 83.23/52.88 tff(18986,plain,
% 83.23/52.88 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB137)) | v168(constB137) | (~v161(constB137)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | v168(constB137) | (~v226(constB137)))),
% 83.23/52.88 inference(transitivity,[status(thm)],[18985, 18983])).
% 83.23/52.88 tff(18987,plain,
% 83.23/52.88 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB137)) | v168(constB137) | (~v161(constB137)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(18988,plain,
% 83.23/52.88 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB137)) | v168(constB137) | (~v226(constB137))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 83.23/52.88 tff(18989,plain,
% 83.23/52.88 ((~v161(constB137)) | (~v226(constB137))),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18988, 3997, 18982])).
% 83.23/52.88 tff(18990,plain,
% 83.23/52.88 (~v161(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18989, 18970])).
% 83.23/52.88 tff(18991,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB137) | (~v187(constB137)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB137) | (~v187(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18992,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB137) | (~v187(constB137)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(18993,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB137) | (~v187(constB137))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 83.23/52.88 tff(18994,plain,
% 83.23/52.88 (~v187(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18993, 4015, 18990])).
% 83.23/52.88 tff(18995,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(18996,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB137) | (~v185(constB137)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(18997,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB137) | (~v185(constB137))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 83.23/52.88 tff(18998,plain,
% 83.23/52.88 (~v185(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[18997, 4029, 18994])).
% 83.23/52.88 tff(18999,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(19000,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB137) | v185(constB137) | (~v178(constB137)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(19001,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB137) | v185(constB137) | (~v178(constB137))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 83.23/52.88 tff(19002,plain,
% 83.23/52.88 (v181(constB137) | (~v178(constB137))),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[19001, 4261, 18998])).
% 83.23/52.88 tff(19003,plain,
% 83.23/52.88 (~v178(constB137)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[19002, 16489])).
% 83.23/52.88 tff(19004,plain,
% 83.23/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(19005,plain,
% 83.23/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(19006,plain,
% 83.23/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB137, constB138)) | v178(constB137) | (~v180(constB138))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 83.23/52.88 tff(19007,plain,
% 83.23/52.88 (v178(constB137) | (~v180(constB138))),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[19006, 4276, 16465])).
% 83.23/52.88 tff(19008,plain,
% 83.23/52.88 (~v180(constB138)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[19007, 19003])).
% 83.23/52.88 tff(19009,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138)))),
% 83.23/52.88 inference(rewrite,[status(thm)],[])).
% 83.23/52.88 tff(19010,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB138) | (~v181(constB138)))),
% 83.23/52.88 inference(quant_inst,[status(thm)],[])).
% 83.23/52.88 tff(19011,plain,
% 83.23/52.88 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB138) | (~v181(constB138))),
% 83.23/52.88 inference(modus_ponens,[status(thm)],[19010, 19009])).
% 83.23/52.88 tff(19012,plain,
% 83.23/52.88 (~v181(constB138)),
% 83.23/52.88 inference(unit_resolution,[status(thm)],[19011, 4291, 19008])).
% 83.23/52.88 tff(19013,plain,
% 83.23/52.88 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19014,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB138)) | (~v184(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19015,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB138)) | (~v184(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19014, 19013])).
% 83.31/52.88 tff(19016,plain,
% 83.31/52.88 (~v184(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19015, 3901, 16449])).
% 83.31/52.88 tff(19017,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19018,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB138) | (~v187(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19019,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB138) | (~v187(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19018, 19017])).
% 83.31/52.88 tff(19020,plain,
% 83.31/52.88 (~v187(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19019, 4309, 19016])).
% 83.31/52.88 tff(19021,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19022,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB138) | (~v185(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19023,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB138) | (~v185(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19022, 19021])).
% 83.31/52.88 tff(19024,plain,
% 83.31/52.88 (~v185(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19023, 4029, 19020])).
% 83.31/52.88 tff(19025,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19026,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB138) | v185(constB138) | (~v178(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19027,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB138) | v185(constB138) | (~v178(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19026, 19025])).
% 83.31/52.88 tff(19028,plain,
% 83.31/52.88 (v181(constB138) | (~v178(constB138))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19027, 4261, 19024])).
% 83.31/52.88 tff(19029,plain,
% 83.31/52.88 (~v178(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19028, 19012])).
% 83.31/52.88 tff(19030,plain,
% 83.31/52.88 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19031,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 83.31/52.88 tff(19032,plain,
% 83.31/52.88 (nextState(constB138, constB139)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 83.31/52.88 tff(19033,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19034,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19035,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB138, constB139)) | v178(constB138) | (~v180(constB139))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19034, 19033])).
% 83.31/52.88 tff(19036,plain,
% 83.31/52.88 (v178(constB138) | (~v180(constB139))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19035, 4276, 19032])).
% 83.31/52.88 tff(19037,plain,
% 83.31/52.88 (~v180(constB139)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19036, 19029])).
% 83.31/52.88 tff(19038,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB139) | (~v293(constB139)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB139) | (~v293(constB139)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19039,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB139) | (~v293(constB139)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19040,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB139) | (~v293(constB139))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19039, 19038])).
% 83.31/52.88 tff(19041,plain,
% 83.31/52.88 (~v293(constB139)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19040, 4413, 19037])).
% 83.31/52.88 tff(19042,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19043,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19044,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 83.31/52.88 tff(19045,plain,
% 83.31/52.88 (v121(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19044, 956, 18909, 18944, 18871])).
% 83.31/52.88 tff(19046,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19047,plain,
% 83.31/52.88 (((~v121(constB137)) | v117(constB137)) <=> (v117(constB137) | (~v121(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19048,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB137) | (~v121(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19047])).
% 83.31/52.88 tff(19049,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19048, 19046])).
% 83.31/52.88 tff(19050,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19051,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB137) | (~v121(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19050, 19049])).
% 83.31/52.88 tff(19052,plain,
% 83.31/52.88 (v117(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19051, 967, 19045])).
% 83.31/52.88 tff(19053,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19054,plain,
% 83.31/52.88 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19055,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19054])).
% 83.31/52.88 tff(19056,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19055, 19053])).
% 83.31/52.88 tff(19057,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19058,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19057, 19056])).
% 83.31/52.88 tff(19059,plain,
% 83.31/52.88 (v116(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19058, 200, 19052])).
% 83.31/52.88 tff(19060,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19061,plain,
% 83.31/52.88 (((~v116(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v116(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19062,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19061])).
% 83.31/52.88 tff(19063,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19062, 19060])).
% 83.31/52.88 tff(19064,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19065,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 83.31/52.88 tff(19066,plain,
% 83.31/52.88 (v115(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19065, 214, 19059])).
% 83.31/52.88 tff(19067,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19068,plain,
% 83.31/52.88 (((~v115(constB137)) | v114(constB137)) <=> (v114(constB137) | (~v115(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19069,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB137) | (~v115(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19068])).
% 83.31/52.88 tff(19070,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19069, 19067])).
% 83.31/52.88 tff(19071,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19072,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB137) | (~v115(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19071, 19070])).
% 83.31/52.88 tff(19073,plain,
% 83.31/52.88 (v114(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19072, 228, 19066])).
% 83.31/52.88 tff(19074,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB137)) | v113(constB137))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19075,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19076,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB137)) | v113(constB137)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 83.31/52.88 tff(19077,plain,
% 83.31/52.88 (v113(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19076, 242, 19073])).
% 83.31/52.88 tff(19078,assumption,(v26(constB137)), introduced(assumption)).
% 83.31/52.88 tff(19079,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19080,plain,
% 83.31/52.88 ($false),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19079, 19, 19078])).
% 83.31/52.88 tff(19081,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.88 tff(19082,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19083,plain,
% 83.31/52.88 ((v26(constB137) | (~v113(constB137)) | v112(constB137)) <=> (v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19084,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19083])).
% 83.31/52.88 tff(19085,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19084, 19082])).
% 83.31/52.88 tff(19086,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19087,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19086, 19085])).
% 83.31/52.88 tff(19088,plain,
% 83.31/52.88 (v112(constB137) | (~v113(constB137))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19087, 256, 19081])).
% 83.31/52.88 tff(19089,plain,
% 83.31/52.88 (v112(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19088, 19077])).
% 83.31/52.88 tff(19090,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19091,plain,
% 83.31/52.88 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19092,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19091])).
% 83.31/52.88 tff(19093,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19092, 19090])).
% 83.31/52.88 tff(19094,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19095,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19094, 19093])).
% 83.31/52.88 tff(19096,plain,
% 83.31/52.88 (v108(constB137)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19095, 268, 19089])).
% 83.31/52.88 tff(19097,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19098,plain,
% 83.31/52.88 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19099,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19098])).
% 83.31/52.88 tff(19100,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19099, 19097])).
% 83.31/52.88 tff(19101,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19102,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19101, 19100])).
% 83.31/52.88 tff(19103,plain,
% 83.31/52.88 (v110(constB138) | (~v108(constB137))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19102, 288, 16465])).
% 83.31/52.88 tff(19104,plain,
% 83.31/52.88 (v110(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19103, 19096])).
% 83.31/52.88 tff(19105,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19106,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19107,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19106, 19105])).
% 83.31/52.88 tff(19108,plain,
% 83.31/52.88 (~v104(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19107, 306, 16465, 16473])).
% 83.31/52.88 tff(19109,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19110,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19111,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19110, 19109])).
% 83.31/52.88 tff(19112,plain,
% 83.31/52.88 (v102(constB138) | v104(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19111, 320, 16465])).
% 83.31/52.88 tff(19113,plain,
% 83.31/52.88 (v102(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19112, 19108])).
% 83.31/52.88 tff(19114,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19115,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19116,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19115, 19114])).
% 83.31/52.88 tff(19117,plain,
% 83.31/52.88 (v101(constB138) | (~v102(constB138))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19116, 338, 16465, 16449])).
% 83.31/52.88 tff(19118,plain,
% 83.31/52.88 (v101(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19117, 19113])).
% 83.31/52.88 tff(19119,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19120,plain,
% 83.31/52.88 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19121,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19120])).
% 83.31/52.88 tff(19122,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19121, 19119])).
% 83.31/52.88 tff(19123,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19124,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 83.31/52.88 tff(19125,plain,
% 83.31/52.88 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19124, 353, 16465])).
% 83.31/52.88 tff(19126,plain,
% 83.31/52.88 (v100(constB138) | (~v110(constB138))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19125, 19118])).
% 83.31/52.88 tff(19127,plain,
% 83.31/52.88 (v100(constB138)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19126, 19104])).
% 83.31/52.88 tff(19128,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19129,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19130,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 83.31/52.88 tff(19131,plain,
% 83.31/52.88 (~v130(constB137, 2)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19130, 1052, 19045])).
% 83.31/52.88 tff(19132,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19133,plain,
% 83.31/52.88 ((v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2))) <=> ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19134,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19133])).
% 83.31/52.88 tff(19135,plain,
% 83.31/52.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19134, 19132])).
% 83.31/52.88 tff(19136,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19137,plain,
% 83.31/52.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 83.31/52.88 tff(19138,plain,
% 83.31/52.88 ((~v127(constB137, 2)) | v130(constB137, 2)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19137, 556, 19081])).
% 83.31/52.88 tff(19139,plain,
% 83.31/52.88 (~v127(constB137, 2)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19138, 19131])).
% 83.31/52.88 tff(19140,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19141,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19142,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 83.31/52.88 tff(19143,plain,
% 83.31/52.88 (v127(constB137, 2) | (~v129(constB138, 2))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19142, 574, 16465])).
% 83.31/52.88 tff(19144,plain,
% 83.31/52.88 (~v129(constB138, 2)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19143, 19139])).
% 83.31/52.88 tff(19145,plain,
% 83.31/52.88 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19146,plain,
% 83.31/52.88 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19147,plain,
% 83.31/52.88 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 83.31/52.88 tff(19148,plain,
% 83.31/52.88 ((~v90(constB138, 2)) | (~v100(constB138))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19147, 589, 19144])).
% 83.31/52.88 tff(19149,plain,
% 83.31/52.88 (~v90(constB138, 2)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19148, 19127])).
% 83.31/52.88 tff(19150,plain,
% 83.31/52.88 ((~v1(constB139)) <=> (~v1(constB139))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19151,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 83.31/52.88 tff(19152,plain,
% 83.31/52.88 (~v1(constB139)),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 83.31/52.88 tff(19153,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19154,plain,
% 83.31/52.88 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19155,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19154])).
% 83.31/52.88 tff(19156,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 83.31/52.88 inference(transitivity,[status(thm)],[19155, 19153])).
% 83.31/52.88 tff(19157,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19158,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 83.31/52.88 tff(19159,plain,
% 83.31/52.88 (~v101(constB139)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19158, 66, 19032, 19152])).
% 83.31/52.88 tff(19160,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19161,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 83.31/52.88 inference(quant_inst,[status(thm)],[])).
% 83.31/52.88 tff(19162,plain,
% 83.31/52.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 83.31/52.88 inference(modus_ponens,[status(thm)],[19161, 19160])).
% 83.31/52.88 tff(19163,plain,
% 83.31/52.88 (v101(constB139) | (~v100(constB139))),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19162, 83, 19032])).
% 83.31/52.88 tff(19164,plain,
% 83.31/52.88 (~v100(constB139)),
% 83.31/52.88 inference(unit_resolution,[status(thm)],[19163, 19159])).
% 83.31/52.88 tff(19165,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19166,plain,
% 83.31/52.88 (((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))) <=> (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 83.31/52.88 inference(rewrite,[status(thm)],[])).
% 83.31/52.88 tff(19167,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))))),
% 83.31/52.88 inference(monotonicity,[status(thm)],[19166])).
% 83.31/52.88 tff(19168,plain,
% 83.31/52.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19167, 19165])).
% 83.31/52.89 tff(19169,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19170,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19169, 19168])).
% 83.31/52.89 tff(19171,plain,
% 83.31/52.89 (v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19170, 98, 19032])).
% 83.31/52.89 tff(19172,plain,
% 83.31/52.89 (v90(constB138, 2) | (~v90(constB139, 2))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19171, 19164])).
% 83.31/52.89 tff(19173,plain,
% 83.31/52.89 (~v90(constB139, 2)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19172, 19149])).
% 83.31/52.89 tff(19174,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19175,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB139, 2)) | v90(constB139, 2))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19176,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB139, 2)) | v90(constB139, 2)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19175, 19174])).
% 83.31/52.89 tff(19177,plain,
% 83.31/52.89 (~v88(constB139, 2)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19176, 3360, 19173])).
% 83.31/52.89 tff(19178,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19179,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19180,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19179, 19178])).
% 83.31/52.89 tff(19181,plain,
% 83.31/52.89 (v130(constB137, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19180, 1108, 19045])).
% 83.31/52.89 tff(19182,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19183,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19184,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 83.31/52.89 tff(19185,plain,
% 83.31/52.89 ((~v130(constB137, 1)) | v127(constB137, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19184, 818, 19081])).
% 83.31/52.89 tff(19186,plain,
% 83.31/52.89 (v127(constB137, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19185, 19181])).
% 83.31/52.89 tff(19187,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19188,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19189,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 83.31/52.89 tff(19190,plain,
% 83.31/52.89 ((~v127(constB137, 1)) | v129(constB138, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19189, 833, 16465])).
% 83.31/52.89 tff(19191,plain,
% 83.31/52.89 (v129(constB138, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19190, 19186])).
% 83.31/52.89 tff(19192,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19193,plain,
% 83.31/52.89 ((v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1))) <=> (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19194,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19193])).
% 83.31/52.89 tff(19195,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19194, 19192])).
% 83.31/52.89 tff(19196,plain,
% 83.31/52.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19197,plain,
% 83.31/52.89 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19196, 19195])).
% 83.31/52.89 tff(19198,plain,
% 83.31/52.89 (v90(constB138, 1) | (~v100(constB138))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19197, 848, 19191])).
% 83.31/52.89 tff(19199,plain,
% 83.31/52.89 (v90(constB138, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19198, 19127])).
% 83.31/52.89 tff(19200,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19201,plain,
% 83.31/52.89 (((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)) <=> ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19202,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19201])).
% 83.31/52.89 tff(19203,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19202, 19200])).
% 83.31/52.89 tff(19204,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19205,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19204, 19203])).
% 83.31/52.89 tff(19206,plain,
% 83.31/52.89 ((~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19205, 866, 19032])).
% 83.31/52.89 tff(19207,plain,
% 83.31/52.89 ((~v90(constB138, 1)) | v90(constB139, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19206, 19164])).
% 83.31/52.89 tff(19208,plain,
% 83.31/52.89 (v90(constB139, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19207, 19199])).
% 83.31/52.89 tff(19209,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19210,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB139, 1)) | v88(constB139, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19211,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB139, 1)) | v88(constB139, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 83.31/52.89 tff(19212,plain,
% 83.31/52.89 (v88(constB139, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19211, 3727, 19208])).
% 83.31/52.89 tff(19213,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19214,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19215,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19214, 19213])).
% 83.31/52.89 tff(19216,plain,
% 83.31/52.89 (v130(constB137, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19215, 1146, 19045])).
% 83.31/52.89 tff(19217,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19218,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19219,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 83.31/52.89 tff(19220,plain,
% 83.31/52.89 ((~v130(constB137, 0)) | v127(constB137, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19219, 478, 19081])).
% 83.31/52.89 tff(19221,plain,
% 83.31/52.89 (v127(constB137, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19220, 19216])).
% 83.31/52.89 tff(19222,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19223,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19224,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19223, 19222])).
% 83.31/52.89 tff(19225,plain,
% 83.31/52.89 ((~v127(constB137, 0)) | v129(constB138, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19224, 493, 16465])).
% 83.31/52.89 tff(19226,plain,
% 83.31/52.89 (v129(constB138, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19225, 19221])).
% 83.31/52.89 tff(19227,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19228,plain,
% 83.31/52.89 ((v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0))) <=> (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19229,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19228])).
% 83.31/52.89 tff(19230,plain,
% 83.31/52.89 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19229, 19227])).
% 83.31/52.89 tff(19231,plain,
% 83.31/52.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19232,plain,
% 83.31/52.89 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19231, 19230])).
% 83.31/52.89 tff(19233,plain,
% 83.31/52.89 (v90(constB138, 0) | (~v100(constB138))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19232, 508, 19226])).
% 83.31/52.89 tff(19234,plain,
% 83.31/52.89 (v90(constB138, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19233, 19127])).
% 83.31/52.89 tff(19235,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19236,plain,
% 83.31/52.89 (((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)) <=> ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19237,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19236])).
% 83.31/52.89 tff(19238,plain,
% 83.31/52.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19237, 19235])).
% 83.31/52.89 tff(19239,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19240,plain,
% 83.31/52.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 83.31/52.89 tff(19241,plain,
% 83.31/52.89 ((~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19240, 526, 19032])).
% 83.31/52.89 tff(19242,plain,
% 83.31/52.89 ((~v90(constB138, 0)) | v90(constB139, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19241, 19164])).
% 83.31/52.89 tff(19243,plain,
% 83.31/52.89 (v90(constB139, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19242, 19234])).
% 83.31/52.89 tff(19244,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19245,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB139, 0)) | v88(constB139, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19246,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB139, 0)) | v88(constB139, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19245, 19244])).
% 83.31/52.89 tff(19247,plain,
% 83.31/52.89 (v88(constB139, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19246, 3447, 19243])).
% 83.31/52.89 tff(19248,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19249,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19248])).
% 83.31/52.89 tff(19250,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19251,plain,
% 83.31/52.89 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 2) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))), ((((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19252,plain,
% 83.31/52.89 (![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19251])).
% 83.31/52.89 tff(19253,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 2) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 1))) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_1')).
% 83.31/52.89 tff(19254,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19253, 19252])).
% 83.31/52.89 tff(19255,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19254, 19250])).
% 83.31/52.89 tff(19256,plain,(
% 83.31/52.89 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19255])).
% 83.31/52.89 tff(19257,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19256, 19249])).
% 83.31/52.89 tff(19258,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19259,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19260,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB139, 2) | (~v88(constB139, 1)) | (~v88(constB139, 0)) | v141(constB139)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19259, 19258])).
% 83.31/52.89 tff(19261,plain,
% 83.31/52.89 (v141(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19260, 19257, 19247, 19212, 19177])).
% 83.31/52.89 tff(19262,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v228(VarCurr)) <=> ((~v141(VarCurr)) | v228(VarCurr)))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19263,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19262])).
% 83.31/52.89 tff(19264,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19265,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_60_1_1_2')).
% 83.31/52.89 tff(19266,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 83.31/52.89 tff(19267,plain,(
% 83.31/52.89 ![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19266])).
% 83.31/52.89 tff(19268,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19267, 19263])).
% 83.31/52.89 tff(19269,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB139)) | v228(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB139)) | v228(constB139))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19270,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB139)) | v228(constB139))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19271,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB139)) | v228(constB139)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 83.31/52.89 tff(19272,plain,
% 83.31/52.89 (v228(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19271, 19268, 19261])).
% 83.31/52.89 tff(19273,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (v227(constB139) | (~v228(constB139)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB139) | (~v228(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19274,plain,
% 83.31/52.89 (((~v228(constB139)) | v227(constB139)) <=> (v227(constB139) | (~v228(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19275,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB139)) | v227(constB139))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (v227(constB139) | (~v228(constB139))))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19274])).
% 83.31/52.89 tff(19276,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB139)) | v227(constB139))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB139) | (~v228(constB139)))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19275, 19273])).
% 83.31/52.89 tff(19277,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB139)) | v227(constB139))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19278,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB139) | (~v228(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19277, 19276])).
% 83.31/52.89 tff(19279,plain,
% 83.31/52.89 (v227(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19278, 3503, 19272])).
% 83.31/52.89 tff(19280,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB139) | (~v227(constB139)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB139) | (~v227(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19281,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB139) | (~v227(constB139)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19282,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB139) | (~v227(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 83.31/52.89 tff(19283,plain,
% 83.31/52.89 (v226(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19282, 3517, 19279])).
% 83.31/52.89 tff(19284,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v200(VarCurr)) <=> ((~v141(VarCurr)) | v200(VarCurr)))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19285,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19284])).
% 83.31/52.89 tff(19286,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19287,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1_1')).
% 83.31/52.89 tff(19288,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 83.31/52.89 tff(19289,plain,(
% 83.31/52.89 ![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19288])).
% 83.31/52.89 tff(19290,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19289, 19285])).
% 83.31/52.89 tff(19291,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))) | ((~v141(constB139)) | v200(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))) | (~v141(constB139)) | v200(constB139))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19292,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))) | ((~v141(constB139)) | v200(constB139))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19293,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v200(VarCurr))) | (~v141(constB139)) | v200(constB139)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19292, 19291])).
% 83.31/52.89 tff(19294,plain,
% 83.31/52.89 (v200(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19293, 19290, 19261])).
% 83.31/52.89 tff(19295,plain,
% 83.31/52.89 (^[VarNext: state_type] : refl(((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19296,plain,
% 83.31/52.89 (![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19295])).
% 83.31/52.89 tff(19297,plain,
% 83.31/52.89 (![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19298,plain,
% 83.31/52.89 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v226(VarNext)) | (~v200(VarNext))) <=> ((~v226(VarNext)) | (~v200(VarNext)))), ((((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext)) <=> (((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext)))), rewrite((((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext)) <=> ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))), ((((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext)) <=> ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19299,plain,
% 83.31/52.89 (![VarNext: state_type] : (((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19298])).
% 83.31/52.89 tff(19300,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v200(VarNext))) | v193(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_1')).
% 83.31/52.89 tff(19301,plain,
% 83.31/52.89 (![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 83.31/52.89 tff(19302,plain,
% 83.31/52.89 (![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19301, 19297])).
% 83.31/52.89 tff(19303,plain,(
% 83.31/52.89 ![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19302])).
% 83.31/52.89 tff(19304,plain,
% 83.31/52.89 (![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19303, 19296])).
% 83.31/52.89 tff(19305,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB139) | (~v226(constB139)) | (~v200(constB139)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB139) | (~v226(constB139)) | (~v200(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19306,plain,
% 83.31/52.89 (((~v226(constB139)) | (~v200(constB139)) | v193(constB139)) <=> (v193(constB139) | (~v226(constB139)) | (~v200(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19307,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB139)) | (~v200(constB139)) | v193(constB139))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | (v193(constB139) | (~v226(constB139)) | (~v200(constB139))))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19306])).
% 83.31/52.89 tff(19308,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB139)) | (~v200(constB139)) | v193(constB139))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB139) | (~v226(constB139)) | (~v200(constB139)))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19307, 19305])).
% 83.31/52.89 tff(19309,plain,
% 83.31/52.89 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | ((~v226(constB139)) | (~v200(constB139)) | v193(constB139))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19310,plain,
% 83.31/52.89 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v200(VarNext)) | v193(VarNext))) | v193(constB139) | (~v226(constB139)) | (~v200(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 83.31/52.89 tff(19311,plain,
% 83.31/52.89 (v193(constB139) | (~v226(constB139))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19310, 19304, 19294])).
% 83.31/52.89 tff(19312,plain,
% 83.31/52.89 (v193(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19311, 19283])).
% 83.31/52.89 tff(19313,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl(((~v193(VarCurr)) | (~v299(VarCurr))) <=> ((~v193(VarCurr)) | (~v299(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19314,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19313])).
% 83.31/52.89 tff(19315,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19316,plain,
% 83.31/52.89 (^[VarCurr: state_type] : rewrite(((~v299(VarCurr)) | (~v193(VarCurr))) <=> ((~v193(VarCurr)) | (~v299(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19317,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v299(VarCurr)) | (~v193(VarCurr))) <=> ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19316])).
% 83.31/52.89 tff(19318,axiom,(![VarCurr: state_type] : ((~v299(VarCurr)) | (~v193(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_84_1_1_1_1')).
% 83.31/52.89 tff(19319,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 83.31/52.89 tff(19320,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19319, 19315])).
% 83.31/52.89 tff(19321,plain,(
% 83.31/52.89 ![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19320])).
% 83.31/52.89 tff(19322,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19321, 19314])).
% 83.31/52.89 tff(19323,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB139)) | (~v299(constB139)))) <=> ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB139)) | (~v299(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19324,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | ((~v193(constB139)) | (~v299(constB139)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19325,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v193(VarCurr)) | (~v299(VarCurr)))) | (~v193(constB139)) | (~v299(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19324, 19323])).
% 83.31/52.89 tff(19326,plain,
% 83.31/52.89 (~v299(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19325, 19322, 19312])).
% 83.31/52.89 tff(19327,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl((v299(VarCurr) | (~v298(VarCurr))) <=> (v299(VarCurr) | (~v298(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19328,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr))) <=> ![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19327])).
% 83.31/52.89 tff(19329,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr))) <=> ![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19330,plain,
% 83.31/52.89 (^[VarCurr: state_type] : rewrite(((~v298(VarCurr)) | v299(VarCurr)) <=> (v299(VarCurr) | (~v298(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19331,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v298(VarCurr)) | v299(VarCurr)) <=> ![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19330])).
% 83.31/52.89 tff(19332,axiom,(![VarCurr: state_type] : ((~v298(VarCurr)) | v299(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_85_1_1_1_1')).
% 83.31/52.89 tff(19333,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 83.31/52.89 tff(19334,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19333, 19329])).
% 83.31/52.89 tff(19335,plain,(
% 83.31/52.89 ![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19334])).
% 83.31/52.89 tff(19336,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19335, 19328])).
% 83.31/52.89 tff(19337,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB139) | (~v298(constB139)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB139) | (~v298(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19338,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB139) | (~v298(constB139)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19339,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB139) | (~v298(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 83.31/52.89 tff(19340,plain,
% 83.31/52.89 (~v298(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19339, 19336, 19326])).
% 83.31/52.89 tff(19341,plain,
% 83.31/52.89 (^[VarCurr: state_type] : refl((v298(VarCurr) | (~v297(VarCurr))) <=> (v298(VarCurr) | (~v297(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19342,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19341])).
% 83.31/52.89 tff(19343,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr))) <=> ![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19344,plain,
% 83.31/52.89 (^[VarCurr: state_type] : rewrite(((~v297(VarCurr)) | v298(VarCurr)) <=> (v298(VarCurr) | (~v297(VarCurr))))),
% 83.31/52.89 inference(bind,[status(th)],[])).
% 83.31/52.89 tff(19345,plain,
% 83.31/52.89 (![VarCurr: state_type] : ((~v297(VarCurr)) | v298(VarCurr)) <=> ![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(quant_intro,[status(thm)],[19344])).
% 83.31/52.89 tff(19346,axiom,(![VarCurr: state_type] : ((~v297(VarCurr)) | v298(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_86_1_1_1_1')).
% 83.31/52.89 tff(19347,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 83.31/52.89 tff(19348,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19347, 19343])).
% 83.31/52.89 tff(19349,plain,(
% 83.31/52.89 ![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(skolemize,[status(sab)],[19348])).
% 83.31/52.89 tff(19350,plain,
% 83.31/52.89 (![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19349, 19342])).
% 83.31/52.89 tff(19351,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB139) | (~v297(constB139)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB139) | (~v297(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19352,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB139) | (~v297(constB139)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19353,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB139) | (~v297(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 83.31/52.89 tff(19354,plain,
% 83.31/52.89 (~v297(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19353, 19350, 19340])).
% 83.31/52.89 tff(19355,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB139) | v297(constB139) | (~v292(constB139)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB139) | v297(constB139) | (~v292(constB139)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19356,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB139) | v297(constB139) | (~v292(constB139)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19357,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB139) | v297(constB139) | (~v292(constB139))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19356, 19355])).
% 83.31/52.89 tff(19358,plain,
% 83.31/52.89 (v293(constB139) | (~v292(constB139))),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19357, 4781, 19354])).
% 83.31/52.89 tff(19359,plain,
% 83.31/52.89 (~v292(constB139)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19358, 19041])).
% 83.31/52.89 tff(19360,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19361,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19362,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19361, 19360])).
% 83.31/52.89 tff(19363,plain,
% 83.31/52.89 (~v88(constB133, 0)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19362, 3705, 18530])).
% 83.31/52.89 tff(19364,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19365,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19366,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19365, 19364])).
% 83.31/52.89 tff(19367,plain,
% 83.31/52.89 (v88(constB133, 2)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19366, 3716, 18465])).
% 83.31/52.89 tff(19368,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19369,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19370,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19369, 19368])).
% 83.31/52.89 tff(19371,plain,
% 83.31/52.89 (v88(constB133, 1)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19370, 3727, 18496])).
% 83.31/52.89 tff(19372,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19373,plain,
% 83.31/52.89 (((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133)) <=> ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19374,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133)))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19373])).
% 83.31/52.89 tff(19375,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19374, 19372])).
% 83.31/52.89 tff(19376,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19377,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 1)) | (~v88(constB133, 2)) | v88(constB133, 0) | v144(constB133)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19376, 19375])).
% 83.31/52.89 tff(19378,plain,
% 83.31/52.89 (v144(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19377, 3741, 19371, 19367, 19363])).
% 83.31/52.89 tff(19379,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19380,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19381,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 83.31/52.89 tff(19382,plain,
% 83.31/52.89 (v142(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19381, 3755, 19378])).
% 83.31/52.89 tff(19383,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB133)) | v227(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB133)) | v227(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19384,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB133)) | v227(constB133))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19385,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB133)) | v227(constB133)),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 83.31/52.89 tff(19386,plain,
% 83.31/52.89 (v227(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19385, 3766, 19382])).
% 83.31/52.89 tff(19387,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB133) | (~v227(constB133)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB133) | (~v227(constB133)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19388,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB133) | (~v227(constB133)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19389,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB133) | (~v227(constB133))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19388, 19387])).
% 83.31/52.89 tff(19390,plain,
% 83.31/52.89 (v226(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19389, 3517, 19386])).
% 83.31/52.89 tff(19391,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19392,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19393,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 83.31/52.89 tff(19394,plain,
% 83.31/52.89 (~v139(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19393, 3958, 19371])).
% 83.31/52.89 tff(19395,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19396,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19397,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19396, 19395])).
% 83.31/52.89 tff(19398,plain,
% 83.31/52.89 (~v140(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19397, 3969, 19371])).
% 83.31/52.89 tff(19399,plain,
% 83.31/52.89 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v168(constB133)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB133) | v140(constB133) | (~v168(constB133)))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19400,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v168(constB133)))),
% 83.31/52.89 inference(quant_inst,[status(thm)],[])).
% 83.31/52.89 tff(19401,plain,
% 83.31/52.89 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB133) | v140(constB133) | (~v168(constB133))),
% 83.31/52.89 inference(modus_ponens,[status(thm)],[19400, 19399])).
% 83.31/52.89 tff(19402,plain,
% 83.31/52.89 (~v168(constB133)),
% 83.31/52.89 inference(unit_resolution,[status(thm)],[19401, 3983, 19398, 19394])).
% 83.31/52.89 tff(19403,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB133)) | (~v226(constB133)) | v168(constB133))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB133)) | (~v226(constB133)) | v168(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19404,plain,
% 83.31/52.89 (((~v226(constB133)) | v168(constB133) | (~v161(constB133))) <=> ((~v161(constB133)) | (~v226(constB133)) | v168(constB133))),
% 83.31/52.89 inference(rewrite,[status(thm)],[])).
% 83.31/52.89 tff(19405,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB133)) | v168(constB133) | (~v161(constB133)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB133)) | (~v226(constB133)) | v168(constB133)))),
% 83.31/52.89 inference(monotonicity,[status(thm)],[19404])).
% 83.31/52.89 tff(19406,plain,
% 83.31/52.89 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB133)) | v168(constB133) | (~v161(constB133)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB133)) | (~v226(constB133)) | v168(constB133))),
% 83.31/52.89 inference(transitivity,[status(thm)],[19405, 19403])).
% 83.31/52.89 tff(19407,plain,
% 83.31/52.89 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB133)) | v168(constB133) | (~v161(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19408,plain,
% 83.31/52.90 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB133)) | (~v226(constB133)) | v168(constB133)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19407, 19406])).
% 83.31/52.90 tff(19409,plain,
% 83.31/52.90 ((~v161(constB133)) | (~v226(constB133))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19408, 3997, 19402])).
% 83.31/52.90 tff(19410,plain,
% 83.31/52.90 (~v161(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19409, 19390])).
% 83.31/52.90 tff(19411,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB133) | (~v187(constB133)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB133) | (~v187(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19412,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB133) | (~v187(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19413,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB133) | (~v187(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19412, 19411])).
% 83.31/52.90 tff(19414,plain,
% 83.31/52.90 (~v187(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19413, 4015, 19410])).
% 83.31/52.90 tff(19415,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19416,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19417,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 83.31/52.90 tff(19418,plain,
% 83.31/52.90 (~v185(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19417, 4029, 19414])).
% 83.31/52.90 tff(19419,assumption,(v18(constB134)), introduced(assumption)).
% 83.31/52.90 tff(19420,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19421,plain,
% 83.31/52.90 ($false),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19420, 3600, 19419])).
% 83.31/52.90 tff(19422,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.90 tff(19423,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19424,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19425,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 83.31/52.90 tff(19426,plain,
% 83.31/52.90 (v22(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19425, 3613, 18580])).
% 83.31/52.90 tff(19427,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19428,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19429,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19428, 19427])).
% 83.31/52.90 tff(19430,plain,
% 83.31/52.90 (v18(constB134) | (~v19(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19429, 3627, 19426])).
% 83.31/52.90 tff(19431,plain,
% 83.31/52.90 (~v19(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19430, 19422])).
% 83.31/52.90 tff(19432,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19433,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19434,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19433, 19432])).
% 83.31/52.90 tff(19435,plain,
% 83.31/52.90 (v13(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19434, 3639, 19431])).
% 83.31/52.90 tff(19436,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19437,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19438,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19437, 19436])).
% 83.31/52.90 tff(19439,plain,
% 83.31/52.90 (v9(constB133) | (~v13(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19438, 3653, 18560])).
% 83.31/52.90 tff(19440,plain,
% 83.31/52.90 (v9(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19439, 19435])).
% 83.31/52.90 tff(19441,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19442,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19443,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19442, 19441])).
% 83.31/52.90 tff(19444,plain,
% 83.31/52.90 ((~v9(constB133)) | v184(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19443, 3668, 18441])).
% 83.31/52.90 tff(19445,plain,
% 83.31/52.90 (v184(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19444, 19440])).
% 83.31/52.90 tff(19446,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB133)) | v183(constB133))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB133)) | v183(constB133))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19447,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB133)) | v183(constB133))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19448,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB133)) | v183(constB133)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 83.31/52.90 tff(19449,plain,
% 83.31/52.90 (v183(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19448, 3680, 19445])).
% 83.31/52.90 tff(19450,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB133)) | (~v183(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19451,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19452,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB133)) | (~v183(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19451, 19450])).
% 83.31/52.90 tff(19453,plain,
% 83.31/52.90 (~v181(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19452, 4247, 19449])).
% 83.31/52.90 tff(19454,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19455,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19456,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19455, 19454])).
% 83.31/52.90 tff(19457,plain,
% 83.31/52.90 (v185(constB133) | (~v178(constB133))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19456, 4261, 19453])).
% 83.31/52.90 tff(19458,plain,
% 83.31/52.90 (~v178(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19457, 19418])).
% 83.31/52.90 tff(19459,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19460,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19461,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19460, 19459])).
% 83.31/52.90 tff(19462,plain,
% 83.31/52.90 (v178(constB133) | (~v180(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19461, 4276, 18560])).
% 83.31/52.90 tff(19463,plain,
% 83.31/52.90 (~v180(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19462, 19458])).
% 83.31/52.90 tff(19464,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19465,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19466,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 83.31/52.90 tff(19467,plain,
% 83.31/52.90 (~v181(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19466, 4291, 19463])).
% 83.31/52.90 tff(19468,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19469,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19470,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19469, 19468])).
% 83.31/52.90 tff(19471,plain,
% 83.31/52.90 (~v184(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19470, 3901, 18580])).
% 83.31/52.90 tff(19472,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19473,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19474,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19473, 19472])).
% 83.31/52.90 tff(19475,plain,
% 83.31/52.90 (~v187(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19474, 4309, 19471])).
% 83.31/52.90 tff(19476,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19477,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19478,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19477, 19476])).
% 83.31/52.90 tff(19479,plain,
% 83.31/52.90 (~v185(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19478, 4029, 19475])).
% 83.31/52.90 tff(19480,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19481,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19482,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19481, 19480])).
% 83.31/52.90 tff(19483,plain,
% 83.31/52.90 (v181(constB134) | (~v178(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19482, 4261, 19479])).
% 83.31/52.90 tff(19484,plain,
% 83.31/52.90 (~v178(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19483, 19467])).
% 83.31/52.90 tff(19485,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19486,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19487,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 83.31/52.90 tff(19488,plain,
% 83.31/52.90 (v178(constB134) | (~v180(constB135))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19487, 4276, 18646])).
% 83.31/52.90 tff(19489,plain,
% 83.31/52.90 (~v180(constB135)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19488, 19484])).
% 83.31/52.90 tff(19490,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB135) | (~v215(constB135)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB135) | (~v215(constB135)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19491,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB135) | (~v215(constB135)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19492,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB135) | (~v215(constB135))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19491, 19490])).
% 83.31/52.90 tff(19493,plain,
% 83.31/52.90 (~v215(constB135)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19492, 4427, 19489])).
% 83.31/52.90 tff(19494,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB131, 2)) | v88(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB131, 2)) | v88(constB131, 2))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19495,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB131, 2)) | v88(constB131, 2))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19496,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB131, 2)) | v88(constB131, 2)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19495, 19494])).
% 83.31/52.90 tff(19497,plain,
% 83.31/52.90 (v88(constB131, 2)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19496, 3716, 18380])).
% 83.31/52.90 tff(19498,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB131)) | (~v88(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB131)) | (~v88(constB131, 2)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19499,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB131)) | (~v88(constB131, 2)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19500,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB131)) | (~v88(constB131, 2))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19499, 19498])).
% 83.31/52.90 tff(19501,plain,
% 83.31/52.90 (~v140(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19500, 4044, 19497])).
% 83.31/52.90 tff(19502,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB131, 0)) | v88(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB131, 0)) | v88(constB131, 0))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19503,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB131, 0)) | v88(constB131, 0))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19504,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB131, 0)) | v88(constB131, 0)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19503, 19502])).
% 83.31/52.90 tff(19505,plain,
% 83.31/52.90 (v88(constB131, 0)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19504, 3447, 18411])).
% 83.31/52.90 tff(19506,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB131)) | (~v88(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB131)) | (~v88(constB131, 0)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19507,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB131)) | (~v88(constB131, 0)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19508,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB131)) | (~v88(constB131, 0))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19507, 19506])).
% 83.31/52.90 tff(19509,plain,
% 83.31/52.90 (~v139(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19508, 4059, 19505])).
% 83.31/52.90 tff(19510,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB131) | v140(constB131) | (~v168(constB131)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB131) | v140(constB131) | (~v168(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19511,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB131) | v140(constB131) | (~v168(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19512,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB131) | v140(constB131) | (~v168(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19511, 19510])).
% 83.31/52.90 tff(19513,plain,
% 83.31/52.90 (~v168(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19512, 3983, 19509, 19501])).
% 83.31/52.90 tff(19514,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB131, 1)) | v90(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB131, 1)) | v90(constB131, 1))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19515,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB131, 1)) | v90(constB131, 1))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19516,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB131, 1)) | v90(constB131, 1)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 83.31/52.90 tff(19517,plain,
% 83.31/52.90 (~v88(constB131, 1)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19516, 3405, 18197])).
% 83.31/52.90 tff(19518,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19519,plain,
% 83.31/52.90 (((~v88(constB131, 2)) | v88(constB131, 1) | (~v88(constB131, 0)) | v147(constB131)) <=> (v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19520,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB131, 2)) | v88(constB131, 1) | (~v88(constB131, 0)) | v147(constB131))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131)))),
% 83.31/52.90 inference(monotonicity,[status(thm)],[19519])).
% 83.31/52.90 tff(19521,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB131, 2)) | v88(constB131, 1) | (~v88(constB131, 0)) | v147(constB131))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131))),
% 83.31/52.90 inference(transitivity,[status(thm)],[19520, 19518])).
% 83.31/52.90 tff(19522,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB131, 2)) | v88(constB131, 1) | (~v88(constB131, 0)) | v147(constB131))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19523,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB131, 1) | (~v88(constB131, 2)) | (~v88(constB131, 0)) | v147(constB131)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 83.31/52.90 tff(19524,plain,
% 83.31/52.90 (v147(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19523, 4081, 19505, 19497, 19517])).
% 83.31/52.90 tff(19525,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB131)) | v145(constB131))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB131)) | v145(constB131))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19526,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB131)) | v145(constB131))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19527,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB131)) | v145(constB131)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19526, 19525])).
% 83.31/52.90 tff(19528,plain,
% 83.31/52.90 (v145(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19527, 4095, 19524])).
% 83.31/52.90 tff(19529,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB131) | (~v145(constB131)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB131) | (~v145(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19530,plain,
% 83.31/52.90 (((~v145(constB131)) | v226(constB131)) <=> (v226(constB131) | (~v145(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19531,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB131)) | v226(constB131))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB131) | (~v145(constB131))))),
% 83.31/52.90 inference(monotonicity,[status(thm)],[19530])).
% 83.31/52.90 tff(19532,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB131)) | v226(constB131))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB131) | (~v145(constB131)))),
% 83.31/52.90 inference(transitivity,[status(thm)],[19531, 19529])).
% 83.31/52.90 tff(19533,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB131)) | v226(constB131))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19534,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB131) | (~v145(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19533, 19532])).
% 83.31/52.90 tff(19535,plain,
% 83.31/52.90 (v226(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19534, 4106, 19528])).
% 83.31/52.90 tff(19536,plain,
% 83.31/52.90 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB131)) | v168(constB131) | (~v226(constB131)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB131)) | v168(constB131) | (~v226(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19537,plain,
% 83.31/52.90 (((~v226(constB131)) | v168(constB131) | (~v161(constB131))) <=> ((~v161(constB131)) | v168(constB131) | (~v226(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19538,plain,
% 83.31/52.90 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB131)) | v168(constB131) | (~v161(constB131)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB131)) | v168(constB131) | (~v226(constB131))))),
% 83.31/52.90 inference(monotonicity,[status(thm)],[19537])).
% 83.31/52.90 tff(19539,plain,
% 83.31/52.90 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB131)) | v168(constB131) | (~v161(constB131)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB131)) | v168(constB131) | (~v226(constB131)))),
% 83.31/52.90 inference(transitivity,[status(thm)],[19538, 19536])).
% 83.31/52.90 tff(19540,plain,
% 83.31/52.90 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB131)) | v168(constB131) | (~v161(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19541,plain,
% 83.31/52.90 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB131)) | v168(constB131) | (~v226(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19540, 19539])).
% 83.31/52.90 tff(19542,plain,
% 83.31/52.90 (~v161(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19541, 3997, 19535, 19513])).
% 83.31/52.90 tff(19543,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB131) | (~v187(constB131)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB131) | (~v187(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19544,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB131) | (~v187(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19545,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB131) | (~v187(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19544, 19543])).
% 83.31/52.90 tff(19546,plain,
% 83.31/52.90 (~v187(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19545, 4015, 19542])).
% 83.31/52.90 tff(19547,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB131) | (~v185(constB131)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB131) | (~v185(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19548,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB131) | (~v185(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19549,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB131) | (~v185(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19548, 19547])).
% 83.31/52.90 tff(19550,plain,
% 83.31/52.90 (~v185(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19549, 4029, 19546])).
% 83.31/52.90 tff(19551,assumption,(v18(constB132)), introduced(assumption)).
% 83.31/52.90 tff(19552,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB132))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19553,plain,
% 83.31/52.90 ($false),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19552, 3600, 19551])).
% 83.31/52.90 tff(19554,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.90 tff(19555,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19556,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19557,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19556, 19555])).
% 83.31/52.90 tff(19558,plain,
% 83.31/52.90 (v22(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19557, 3613, 18335])).
% 83.31/52.90 tff(19559,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19560,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19561,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19560, 19559])).
% 83.31/52.90 tff(19562,plain,
% 83.31/52.90 (v18(constB132) | (~v19(constB132))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19561, 3627, 19558])).
% 83.31/52.90 tff(19563,plain,
% 83.31/52.90 (~v19(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19562, 19554])).
% 83.31/52.90 tff(19564,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19565,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19566,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 83.31/52.90 tff(19567,plain,
% 83.31/52.90 (v13(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19566, 3639, 19563])).
% 83.31/52.90 tff(19568,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19569,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19570,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 83.31/52.90 tff(19571,plain,
% 83.31/52.90 (v9(constB131) | (~v13(constB132))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19570, 3653, 18315])).
% 83.31/52.90 tff(19572,plain,
% 83.31/52.90 (v9(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19571, 19567])).
% 83.31/52.90 tff(19573,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v184(constB131))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB131) | (~v9(constB131)) | v184(constB131))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19574,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v184(constB131))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19575,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB131) | (~v9(constB131)) | v184(constB131)),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 83.31/52.90 tff(19576,plain,
% 83.31/52.90 ((~v9(constB131)) | v184(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19575, 3668, 18173])).
% 83.31/52.90 tff(19577,plain,
% 83.31/52.90 (v184(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19576, 19572])).
% 83.31/52.90 tff(19578,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB131) | (~v184(constB131)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB131) | (~v184(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19579,plain,
% 83.31/52.90 (((~v184(constB131)) | v183(constB131)) <=> (v183(constB131) | (~v184(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19580,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB131)) | v183(constB131))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB131) | (~v184(constB131))))),
% 83.31/52.90 inference(monotonicity,[status(thm)],[19579])).
% 83.31/52.90 tff(19581,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB131)) | v183(constB131))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB131) | (~v184(constB131)))),
% 83.31/52.90 inference(transitivity,[status(thm)],[19580, 19578])).
% 83.31/52.90 tff(19582,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB131)) | v183(constB131))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19583,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB131) | (~v184(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 83.31/52.90 tff(19584,plain,
% 83.31/52.90 (v183(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19583, 3680, 19577])).
% 83.31/52.90 tff(19585,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB131)) | (~v183(constB131)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB131)) | (~v183(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19586,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB131)) | (~v183(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19587,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB131)) | (~v183(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 83.31/52.90 tff(19588,plain,
% 83.31/52.90 (~v181(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19587, 4247, 19584])).
% 83.31/52.90 tff(19589,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB131) | v185(constB131) | (~v178(constB131)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB131) | v185(constB131) | (~v178(constB131)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19590,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB131) | v185(constB131) | (~v178(constB131)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19591,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB131) | v185(constB131) | (~v178(constB131))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19590, 19589])).
% 83.31/52.90 tff(19592,plain,
% 83.31/52.90 (v185(constB131) | (~v178(constB131))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19591, 4261, 19588])).
% 83.31/52.90 tff(19593,plain,
% 83.31/52.90 (~v178(constB131)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19592, 19550])).
% 83.31/52.90 tff(19594,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB131, constB132)) | v178(constB131) | (~v180(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB131, constB132)) | v178(constB131) | (~v180(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19595,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB131, constB132)) | v178(constB131) | (~v180(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19596,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB131, constB132)) | v178(constB131) | (~v180(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 83.31/52.90 tff(19597,plain,
% 83.31/52.90 (v178(constB131) | (~v180(constB132))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19596, 4276, 18315])).
% 83.31/52.90 tff(19598,plain,
% 83.31/52.90 (~v180(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19597, 19593])).
% 83.31/52.90 tff(19599,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB132) | (~v181(constB132)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB132) | (~v181(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19600,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB132) | (~v181(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19601,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB132) | (~v181(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 83.31/52.90 tff(19602,plain,
% 83.31/52.90 (~v181(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19601, 4291, 19598])).
% 83.31/52.90 tff(19603,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB132)) | (~v184(constB132)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB132)) | (~v184(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19604,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB132)) | (~v184(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19605,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB132)) | (~v184(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 83.31/52.90 tff(19606,plain,
% 83.31/52.90 (~v184(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19605, 3901, 18335])).
% 83.31/52.90 tff(19607,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB132) | (~v187(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB132) | (~v187(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19608,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB132) | (~v187(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19609,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB132) | (~v187(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 83.31/52.90 tff(19610,plain,
% 83.31/52.90 (~v187(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19609, 4309, 19606])).
% 83.31/52.90 tff(19611,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB132) | (~v185(constB132)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB132) | (~v185(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19612,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB132) | (~v185(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19613,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB132) | (~v185(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 83.31/52.90 tff(19614,plain,
% 83.31/52.90 (~v185(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19613, 4029, 19610])).
% 83.31/52.90 tff(19615,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB132) | v185(constB132) | (~v178(constB132)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB132) | v185(constB132) | (~v178(constB132)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19616,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB132) | v185(constB132) | (~v178(constB132)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19617,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB132) | v185(constB132) | (~v178(constB132))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 83.31/52.90 tff(19618,plain,
% 83.31/52.90 (v181(constB132) | (~v178(constB132))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19617, 4261, 19614])).
% 83.31/52.90 tff(19619,plain,
% 83.31/52.90 (~v178(constB132)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19618, 19602])).
% 83.31/52.90 tff(19620,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB132, constB133)) | v178(constB132) | (~v180(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB132, constB133)) | v178(constB132) | (~v180(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19621,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB132, constB133)) | v178(constB132) | (~v180(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19622,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB132, constB133)) | v178(constB132) | (~v180(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 83.31/52.90 tff(19623,plain,
% 83.31/52.90 (v178(constB132) | (~v180(constB133))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19622, 4276, 18444])).
% 83.31/52.90 tff(19624,plain,
% 83.31/52.90 (~v180(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19623, 19619])).
% 83.31/52.90 tff(19625,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB133) | (~v215(constB133)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB133) | (~v215(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19626,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB133) | (~v215(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19627,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB133) | (~v215(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19626, 19625])).
% 83.31/52.90 tff(19628,plain,
% 83.31/52.90 (~v215(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19627, 4427, 19624])).
% 83.31/52.90 tff(19629,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB133)) | (~v214(constB133)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB133)) | (~v214(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19630,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB133)) | (~v214(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19631,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB133)) | (~v214(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 83.31/52.90 tff(19632,plain,
% 83.31/52.90 (~v214(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19631, 4593, 19449])).
% 83.31/52.90 tff(19633,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB133) | v215(constB133) | (~v211(constB133)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB133) | v215(constB133) | (~v211(constB133)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19634,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB133) | v215(constB133) | (~v211(constB133)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19635,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB133) | v215(constB133) | (~v211(constB133))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19634, 19633])).
% 83.31/52.90 tff(19636,plain,
% 83.31/52.90 (v215(constB133) | (~v211(constB133))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19635, 4607, 19632])).
% 83.31/52.90 tff(19637,plain,
% 83.31/52.90 (~v211(constB133)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19636, 19628])).
% 83.31/52.90 tff(19638,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB133, constB134)) | v211(constB133) | (~v213(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB133, constB134)) | v211(constB133) | (~v213(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19639,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB133, constB134)) | v211(constB133) | (~v213(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19640,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB133, constB134)) | v211(constB133) | (~v213(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 83.31/52.90 tff(19641,plain,
% 83.31/52.90 (v211(constB133) | (~v213(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19640, 4622, 18560])).
% 83.31/52.90 tff(19642,plain,
% 83.31/52.90 (~v213(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19641, 19637])).
% 83.31/52.90 tff(19643,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB134) | (~v214(constB134)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB134) | (~v214(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19644,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB134) | (~v214(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19645,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB134) | (~v214(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 83.31/52.90 tff(19646,plain,
% 83.31/52.90 (~v214(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19645, 4637, 19642])).
% 83.31/52.90 tff(19647,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB134) | (~v217(constB134)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB134) | (~v217(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19648,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB134) | (~v217(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19649,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB134) | (~v217(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19648, 19647])).
% 83.31/52.90 tff(19650,plain,
% 83.31/52.90 (~v217(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19649, 4651, 19471])).
% 83.31/52.90 tff(19651,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB134) | (~v216(constB134)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB134) | (~v216(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19652,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB134) | (~v216(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19653,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB134) | (~v216(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19652, 19651])).
% 83.31/52.90 tff(19654,plain,
% 83.31/52.90 (~v216(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19653, 4565, 19650])).
% 83.31/52.90 tff(19655,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB134) | (~v215(constB134)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB134) | (~v215(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19656,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB134) | (~v215(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19657,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB134) | (~v215(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19656, 19655])).
% 83.31/52.90 tff(19658,plain,
% 83.31/52.90 (~v215(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19657, 4579, 19654])).
% 83.31/52.90 tff(19659,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB134) | v215(constB134) | (~v211(constB134)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB134) | v215(constB134) | (~v211(constB134)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19660,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB134) | v215(constB134) | (~v211(constB134)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19661,plain,
% 83.31/52.90 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB134) | v215(constB134) | (~v211(constB134))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19660, 19659])).
% 83.31/52.90 tff(19662,plain,
% 83.31/52.90 (v214(constB134) | (~v211(constB134))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19661, 4607, 19658])).
% 83.31/52.90 tff(19663,plain,
% 83.31/52.90 (~v211(constB134)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19662, 19646])).
% 83.31/52.90 tff(19664,plain,
% 83.31/52.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB134, constB135)) | v211(constB134) | (~v213(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB134, constB135)) | v211(constB134) | (~v213(constB135)))),
% 83.31/52.90 inference(rewrite,[status(thm)],[])).
% 83.31/52.90 tff(19665,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB134, constB135)) | v211(constB134) | (~v213(constB135)))),
% 83.31/52.90 inference(quant_inst,[status(thm)],[])).
% 83.31/52.90 tff(19666,plain,
% 83.31/52.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB134, constB135)) | v211(constB134) | (~v213(constB135))),
% 83.31/52.90 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 83.31/52.90 tff(19667,plain,
% 83.31/52.90 (v211(constB134) | (~v213(constB135))),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19666, 4622, 18646])).
% 83.31/52.90 tff(19668,plain,
% 83.31/52.90 (~v213(constB135)),
% 83.31/52.90 inference(unit_resolution,[status(thm)],[19667, 19663])).
% 83.31/52.90 tff(19669,plain,
% 83.31/52.90 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB135) | (~v214(constB135)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB135) | (~v214(constB135)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19670,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB135) | (~v214(constB135)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19671,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB135) | (~v214(constB135))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 83.31/52.91 tff(19672,plain,
% 83.31/52.91 (~v214(constB135)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19671, 4637, 19668])).
% 83.31/52.91 tff(19673,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB135) | v215(constB135) | (~v211(constB135)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB135) | v215(constB135) | (~v211(constB135)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19674,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB135) | v215(constB135) | (~v211(constB135)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19675,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB135) | v215(constB135) | (~v211(constB135))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 83.31/52.91 tff(19676,plain,
% 83.31/52.91 (v215(constB135) | (~v211(constB135))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19675, 4607, 19672])).
% 83.31/52.91 tff(19677,plain,
% 83.31/52.91 (~v211(constB135)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19676, 19493])).
% 83.31/52.91 tff(19678,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB135, constB136)) | v211(constB135) | (~v213(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB135, constB136)) | v211(constB135) | (~v213(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19679,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB135, constB136)) | v211(constB135) | (~v213(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19680,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB135, constB136)) | v211(constB135) | (~v213(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19679, 19678])).
% 83.31/52.91 tff(19681,plain,
% 83.31/52.91 (v211(constB135) | (~v213(constB136))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19680, 4622, 18791])).
% 83.31/52.91 tff(19682,plain,
% 83.31/52.91 (~v213(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19681, 19677])).
% 83.31/52.91 tff(19683,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB136) | (~v214(constB136)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB136) | (~v214(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19684,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB136) | (~v214(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19685,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB136) | (~v214(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 83.31/52.91 tff(19686,plain,
% 83.31/52.91 (~v214(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19685, 4637, 19682])).
% 83.31/52.91 tff(19687,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB136)) | (~v184(constB136)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB136)) | (~v184(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19688,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB136)) | (~v184(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19689,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB136)) | (~v184(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 83.31/52.91 tff(19690,plain,
% 83.31/52.91 (~v184(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19689, 3901, 18811])).
% 83.31/52.91 tff(19691,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB136) | (~v217(constB136)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB136) | (~v217(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19692,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB136) | (~v217(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19693,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB136) | (~v217(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19692, 19691])).
% 83.31/52.91 tff(19694,plain,
% 83.31/52.91 (~v217(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19693, 4651, 19690])).
% 83.31/52.91 tff(19695,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB136) | (~v216(constB136)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB136) | (~v216(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19696,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB136) | (~v216(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19697,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB136) | (~v216(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 83.31/52.91 tff(19698,plain,
% 83.31/52.91 (~v216(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19697, 4565, 19694])).
% 83.31/52.91 tff(19699,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB136) | (~v215(constB136)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB136) | (~v215(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19700,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB136) | (~v215(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19701,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB136) | (~v215(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19700, 19699])).
% 83.31/52.91 tff(19702,plain,
% 83.31/52.91 (~v215(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19701, 4579, 19698])).
% 83.31/52.91 tff(19703,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB136) | v215(constB136) | (~v211(constB136)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB136) | v215(constB136) | (~v211(constB136)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19704,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB136) | v215(constB136) | (~v211(constB136)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19705,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB136) | v215(constB136) | (~v211(constB136))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 83.31/52.91 tff(19706,plain,
% 83.31/52.91 (v214(constB136) | (~v211(constB136))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19705, 4607, 19702])).
% 83.31/52.91 tff(19707,plain,
% 83.31/52.91 (~v211(constB136)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19706, 19686])).
% 83.31/52.91 tff(19708,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB136, constB137)) | v211(constB136) | (~v213(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB136, constB137)) | v211(constB136) | (~v213(constB137)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19709,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB136, constB137)) | v211(constB136) | (~v213(constB137)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19710,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB136, constB137)) | v211(constB136) | (~v213(constB137))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19709, 19708])).
% 83.31/52.91 tff(19711,plain,
% 83.31/52.91 (v211(constB136) | (~v213(constB137))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19710, 4622, 18850])).
% 83.31/52.91 tff(19712,plain,
% 83.31/52.91 (~v213(constB137)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19711, 19707])).
% 83.31/52.91 tff(19713,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB137) | (~v245(constB137)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB137) | (~v245(constB137)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19714,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB137) | (~v245(constB137)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19715,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB137) | (~v245(constB137))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19714, 19713])).
% 83.31/52.91 tff(19716,plain,
% 83.31/52.91 (~v245(constB137)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19715, 4796, 19712])).
% 83.31/52.91 tff(19717,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB135) | (~v245(constB135)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB135) | (~v245(constB135)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19718,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB135) | (~v245(constB135)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19719,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB135) | (~v245(constB135))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 83.31/52.91 tff(19720,plain,
% 83.31/52.91 (~v245(constB135)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19719, 4796, 19668])).
% 83.31/52.91 tff(19721,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB129, 2)) | v88(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB129, 2)) | v88(constB129, 2))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19722,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB129, 2)) | v88(constB129, 2))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19723,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB129, 2)) | v88(constB129, 2)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19722, 19721])).
% 83.31/52.91 tff(19724,plain,
% 83.31/52.91 (v88(constB129, 2)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19723, 3716, 18002])).
% 83.31/52.91 tff(19725,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB129)) | (~v88(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB129)) | (~v88(constB129, 2)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19726,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB129)) | (~v88(constB129, 2)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19727,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB129)) | (~v88(constB129, 2))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19726, 19725])).
% 83.31/52.91 tff(19728,plain,
% 83.31/52.91 (~v139(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19727, 4139, 19724])).
% 83.31/52.91 tff(19729,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB129)) | (~v88(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB129)) | (~v88(constB129, 2)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19730,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB129)) | (~v88(constB129, 2)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19731,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB129)) | (~v88(constB129, 2))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19730, 19729])).
% 83.31/52.91 tff(19732,plain,
% 83.31/52.91 (~v140(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19731, 4044, 19724])).
% 83.31/52.91 tff(19733,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19734,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19735,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 83.31/52.91 tff(19736,plain,
% 83.31/52.91 (~v168(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19735, 3983, 19732, 19728])).
% 83.31/52.91 tff(19737,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB129, 1)) | v90(constB129, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB129, 1)) | v90(constB129, 1))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19738,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB129, 1)) | v90(constB129, 1))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19739,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB129, 1)) | v90(constB129, 1)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 83.31/52.91 tff(19740,plain,
% 83.31/52.91 (~v88(constB129, 1)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19739, 3405, 18036])).
% 83.31/52.91 tff(19741,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB129, 0)) | v90(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB129, 0)) | v90(constB129, 0))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19742,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB129, 0)) | v90(constB129, 0))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19743,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB129, 0)) | v90(constB129, 0)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 83.31/52.91 tff(19744,plain,
% 83.31/52.91 (~v88(constB129, 0)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19743, 3705, 18070])).
% 83.31/52.91 tff(19745,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19746,plain,
% 83.31/52.91 (((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129)) <=> (v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19747,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0)))),
% 83.31/52.91 inference(monotonicity,[status(thm)],[19746])).
% 83.31/52.91 tff(19748,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0))),
% 83.31/52.91 inference(transitivity,[status(thm)],[19747, 19745])).
% 83.31/52.91 tff(19749,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB129, 2)) | v88(constB129, 1) | v88(constB129, 0) | v146(constB129))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19750,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB129, 1) | (~v88(constB129, 2)) | v146(constB129) | v88(constB129, 0)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 83.31/52.91 tff(19751,plain,
% 83.31/52.91 (v146(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19750, 4169, 19724, 19744, 19740])).
% 83.31/52.91 tff(19752,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB129)) | v145(constB129))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB129)) | v145(constB129))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19753,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB129)) | v145(constB129))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19754,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB129)) | v145(constB129)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 83.31/52.91 tff(19755,plain,
% 83.31/52.91 (v145(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19754, 4183, 19751])).
% 83.31/52.91 tff(19756,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB129) | (~v145(constB129)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB129) | (~v145(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19757,plain,
% 83.31/52.91 (((~v145(constB129)) | v226(constB129)) <=> (v226(constB129) | (~v145(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19758,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB129)) | v226(constB129))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB129) | (~v145(constB129))))),
% 83.31/52.91 inference(monotonicity,[status(thm)],[19757])).
% 83.31/52.91 tff(19759,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB129)) | v226(constB129))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB129) | (~v145(constB129)))),
% 83.31/52.91 inference(transitivity,[status(thm)],[19758, 19756])).
% 83.31/52.91 tff(19760,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB129)) | v226(constB129))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19761,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB129) | (~v145(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19760, 19759])).
% 83.31/52.91 tff(19762,plain,
% 83.31/52.91 (v226(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19761, 4106, 19755])).
% 83.31/52.91 tff(19763,plain,
% 83.31/52.91 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB129)) | (~v226(constB129)) | v168(constB129))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | (~v226(constB129)) | v168(constB129))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19764,plain,
% 83.31/52.91 (((~v226(constB129)) | v168(constB129) | (~v161(constB129))) <=> ((~v161(constB129)) | (~v226(constB129)) | v168(constB129))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19765,plain,
% 83.31/52.91 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB129)) | v168(constB129) | (~v161(constB129)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB129)) | (~v226(constB129)) | v168(constB129)))),
% 83.31/52.91 inference(monotonicity,[status(thm)],[19764])).
% 83.31/52.91 tff(19766,plain,
% 83.31/52.91 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB129)) | v168(constB129) | (~v161(constB129)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | (~v226(constB129)) | v168(constB129))),
% 83.31/52.91 inference(transitivity,[status(thm)],[19765, 19763])).
% 83.31/52.91 tff(19767,plain,
% 83.31/52.91 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB129)) | v168(constB129) | (~v161(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19768,plain,
% 83.31/52.91 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB129)) | (~v226(constB129)) | v168(constB129)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19767, 19766])).
% 83.31/52.91 tff(19769,plain,
% 83.31/52.91 (~v161(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19768, 3997, 19762, 19736])).
% 83.31/52.91 tff(19770,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB129) | (~v187(constB129)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB129) | (~v187(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19771,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB129) | (~v187(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19772,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB129) | (~v187(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19771, 19770])).
% 83.31/52.91 tff(19773,plain,
% 83.31/52.91 (~v187(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19772, 4015, 19769])).
% 83.31/52.91 tff(19774,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB129) | (~v185(constB129)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB129) | (~v185(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19775,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB129) | (~v185(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19776,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB129) | (~v185(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 83.31/52.91 tff(19777,plain,
% 83.31/52.91 (~v185(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19776, 4029, 19773])).
% 83.31/52.91 tff(19778,assumption,(v18(constB130)), introduced(assumption)).
% 83.31/52.91 tff(19779,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB130))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19780,plain,
% 83.31/52.91 ($false),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19779, 3600, 19778])).
% 83.31/52.91 tff(19781,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.91 tff(19782,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19783,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19784,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 83.31/52.91 tff(19785,plain,
% 83.31/52.91 (v22(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19784, 3613, 18131])).
% 83.31/52.91 tff(19786,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19787,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19788,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 83.31/52.91 tff(19789,plain,
% 83.31/52.91 (v18(constB130) | (~v19(constB130))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19788, 3627, 19785])).
% 83.31/52.91 tff(19790,plain,
% 83.31/52.91 (~v19(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19789, 19781])).
% 83.31/52.91 tff(19791,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19792,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19793,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 83.31/52.91 tff(19794,plain,
% 83.31/52.91 (v13(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19793, 3639, 19790])).
% 83.31/52.91 tff(19795,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19796,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19797,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19796, 19795])).
% 83.31/52.91 tff(19798,plain,
% 83.31/52.91 (v9(constB129) | (~v13(constB130))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19797, 3653, 18111])).
% 83.31/52.91 tff(19799,plain,
% 83.31/52.91 (v9(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19798, 19794])).
% 83.31/52.91 tff(19800,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v184(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB129) | (~v9(constB129)) | v184(constB129))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19801,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v184(constB129))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19802,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB129) | (~v9(constB129)) | v184(constB129)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 83.31/52.91 tff(19803,plain,
% 83.31/52.91 ((~v9(constB129)) | v184(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19802, 3668, 17978])).
% 83.31/52.91 tff(19804,plain,
% 83.31/52.91 (v184(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19803, 19799])).
% 83.31/52.91 tff(19805,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB129)) | v183(constB129))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB129)) | v183(constB129))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19806,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB129)) | v183(constB129))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19807,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB129)) | v183(constB129)),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 83.31/52.91 tff(19808,plain,
% 83.31/52.91 (v183(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19807, 3680, 19804])).
% 83.31/52.91 tff(19809,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB129)) | (~v183(constB129)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB129)) | (~v183(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19810,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB129)) | (~v183(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19811,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB129)) | (~v183(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19810, 19809])).
% 83.31/52.91 tff(19812,plain,
% 83.31/52.91 (~v181(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19811, 4247, 19808])).
% 83.31/52.91 tff(19813,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB129) | v185(constB129) | (~v178(constB129)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB129) | v185(constB129) | (~v178(constB129)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19814,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB129) | v185(constB129) | (~v178(constB129)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19815,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB129) | v185(constB129) | (~v178(constB129))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19814, 19813])).
% 83.31/52.91 tff(19816,plain,
% 83.31/52.91 (v185(constB129) | (~v178(constB129))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19815, 4261, 19812])).
% 83.31/52.91 tff(19817,plain,
% 83.31/52.91 (~v178(constB129)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19816, 19777])).
% 83.31/52.91 tff(19818,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19819,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19820,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB129, constB130)) | v178(constB129) | (~v180(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19819, 19818])).
% 83.31/52.91 tff(19821,plain,
% 83.31/52.91 (v178(constB129) | (~v180(constB130))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19820, 4276, 18111])).
% 83.31/52.91 tff(19822,plain,
% 83.31/52.91 (~v180(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19821, 19817])).
% 83.31/52.91 tff(19823,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB130) | (~v181(constB130)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB130) | (~v181(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19824,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB130) | (~v181(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19825,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB130) | (~v181(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 83.31/52.91 tff(19826,plain,
% 83.31/52.91 (~v181(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19825, 4291, 19822])).
% 83.31/52.91 tff(19827,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB130)) | (~v184(constB130)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB130)) | (~v184(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19828,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB130)) | (~v184(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19829,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB130)) | (~v184(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19828, 19827])).
% 83.31/52.91 tff(19830,plain,
% 83.31/52.91 (~v184(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19829, 3901, 18131])).
% 83.31/52.91 tff(19831,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB130) | (~v187(constB130)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB130) | (~v187(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19832,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB130) | (~v187(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19833,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB130) | (~v187(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 83.31/52.91 tff(19834,plain,
% 83.31/52.91 (~v187(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19833, 4309, 19830])).
% 83.31/52.91 tff(19835,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB130) | (~v185(constB130)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB130) | (~v185(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19836,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB130) | (~v185(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19837,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB130) | (~v185(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19836, 19835])).
% 83.31/52.91 tff(19838,plain,
% 83.31/52.91 (~v185(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19837, 4029, 19834])).
% 83.31/52.91 tff(19839,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB130) | v185(constB130) | (~v178(constB130)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB130) | v185(constB130) | (~v178(constB130)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19840,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB130) | v185(constB130) | (~v178(constB130)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19841,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB130) | v185(constB130) | (~v178(constB130))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19840, 19839])).
% 83.31/52.91 tff(19842,plain,
% 83.31/52.91 (v181(constB130) | (~v178(constB130))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19841, 4261, 19838])).
% 83.31/52.91 tff(19843,plain,
% 83.31/52.91 (~v178(constB130)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19842, 19826])).
% 83.31/52.91 tff(19844,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19845,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19846,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB130, constB131)) | v178(constB130) | (~v180(constB131))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19845, 19844])).
% 83.31/52.91 tff(19847,plain,
% 83.31/52.91 (v178(constB130) | (~v180(constB131))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19846, 4276, 18176])).
% 83.31/52.91 tff(19848,plain,
% 83.31/52.91 (~v180(constB131)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19847, 19843])).
% 83.31/52.91 tff(19849,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB131) | (~v215(constB131)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB131) | (~v215(constB131)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19850,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB131) | (~v215(constB131)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19851,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB131) | (~v215(constB131))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19850, 19849])).
% 83.31/52.91 tff(19852,plain,
% 83.31/52.91 (~v215(constB131)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19851, 4427, 19848])).
% 83.31/52.91 tff(19853,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB131)) | (~v214(constB131)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB131)) | (~v214(constB131)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19854,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB131)) | (~v214(constB131)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19855,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB131)) | (~v214(constB131))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 83.31/52.91 tff(19856,plain,
% 83.31/52.91 (~v214(constB131)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19855, 4593, 19584])).
% 83.31/52.91 tff(19857,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB131) | v215(constB131) | (~v211(constB131)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB131) | v215(constB131) | (~v211(constB131)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19858,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB131) | v215(constB131) | (~v211(constB131)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19859,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB131) | v215(constB131) | (~v211(constB131))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19858, 19857])).
% 83.31/52.91 tff(19860,plain,
% 83.31/52.91 (v215(constB131) | (~v211(constB131))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19859, 4607, 19856])).
% 83.31/52.91 tff(19861,plain,
% 83.31/52.91 (~v211(constB131)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19860, 19852])).
% 83.31/52.91 tff(19862,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB131, constB132)) | v211(constB131) | (~v213(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB131, constB132)) | v211(constB131) | (~v213(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19863,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB131, constB132)) | v211(constB131) | (~v213(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19864,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB131, constB132)) | v211(constB131) | (~v213(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 83.31/52.91 tff(19865,plain,
% 83.31/52.91 (v211(constB131) | (~v213(constB132))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19864, 4622, 18315])).
% 83.31/52.91 tff(19866,plain,
% 83.31/52.91 (~v213(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19865, 19861])).
% 83.31/52.91 tff(19867,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB132) | (~v214(constB132)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB132) | (~v214(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19868,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB132) | (~v214(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19869,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB132) | (~v214(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 83.31/52.91 tff(19870,plain,
% 83.31/52.91 (~v214(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19869, 4637, 19866])).
% 83.31/52.91 tff(19871,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB132) | (~v217(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB132) | (~v217(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19872,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB132) | (~v217(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19873,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB132) | (~v217(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 83.31/52.91 tff(19874,plain,
% 83.31/52.91 (~v217(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19873, 4651, 19606])).
% 83.31/52.91 tff(19875,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB132) | (~v216(constB132)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB132) | (~v216(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19876,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB132) | (~v216(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19877,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB132) | (~v216(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19876, 19875])).
% 83.31/52.91 tff(19878,plain,
% 83.31/52.91 (~v216(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19877, 4565, 19874])).
% 83.31/52.91 tff(19879,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB132) | (~v215(constB132)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB132) | (~v215(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19880,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB132) | (~v215(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19881,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB132) | (~v215(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19880, 19879])).
% 83.31/52.91 tff(19882,plain,
% 83.31/52.91 (~v215(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19881, 4579, 19878])).
% 83.31/52.91 tff(19883,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB132) | v215(constB132) | (~v211(constB132)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB132) | v215(constB132) | (~v211(constB132)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19884,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB132) | v215(constB132) | (~v211(constB132)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19885,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB132) | v215(constB132) | (~v211(constB132))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19884, 19883])).
% 83.31/52.91 tff(19886,plain,
% 83.31/52.91 (v214(constB132) | (~v211(constB132))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19885, 4607, 19882])).
% 83.31/52.91 tff(19887,plain,
% 83.31/52.91 (~v211(constB132)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19886, 19870])).
% 83.31/52.91 tff(19888,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB132, constB133)) | v211(constB132) | (~v213(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB132, constB133)) | v211(constB132) | (~v213(constB133)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19889,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB132, constB133)) | v211(constB132) | (~v213(constB133)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19890,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB132, constB133)) | v211(constB132) | (~v213(constB133))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19889, 19888])).
% 83.31/52.91 tff(19891,plain,
% 83.31/52.91 (v211(constB132) | (~v213(constB133))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19890, 4622, 18444])).
% 83.31/52.91 tff(19892,plain,
% 83.31/52.91 (~v213(constB133)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19891, 19887])).
% 83.31/52.91 tff(19893,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB133) | (~v245(constB133)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB133) | (~v245(constB133)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19894,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB133) | (~v245(constB133)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19895,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB133) | (~v245(constB133))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19894, 19893])).
% 83.31/52.91 tff(19896,plain,
% 83.31/52.91 (~v245(constB133)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19895, 4796, 19892])).
% 83.31/52.91 tff(19897,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB133)) | (~v244(constB133)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB133)) | (~v244(constB133)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19898,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB133)) | (~v244(constB133)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19899,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB133)) | (~v244(constB133))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 83.31/52.91 tff(19900,plain,
% 83.31/52.91 (~v244(constB133)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19899, 4891, 19449])).
% 83.31/52.91 tff(19901,plain,
% 83.31/52.91 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB133) | v245(constB133) | (~v241(constB133)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB133) | v245(constB133) | (~v241(constB133)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19902,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB133) | v245(constB133) | (~v241(constB133)))),
% 83.31/52.91 inference(quant_inst,[status(thm)],[])).
% 83.31/52.91 tff(19903,plain,
% 83.31/52.91 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB133) | v245(constB133) | (~v241(constB133))),
% 83.31/52.91 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 83.31/52.91 tff(19904,plain,
% 83.31/52.91 (v245(constB133) | (~v241(constB133))),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19903, 4905, 19900])).
% 83.31/52.91 tff(19905,plain,
% 83.31/52.91 (~v241(constB133)),
% 83.31/52.91 inference(unit_resolution,[status(thm)],[19904, 19896])).
% 83.31/52.91 tff(19906,plain,
% 83.31/52.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB133, constB134)) | v241(constB133) | (~v243(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB133, constB134)) | v241(constB133) | (~v243(constB134)))),
% 83.31/52.91 inference(rewrite,[status(thm)],[])).
% 83.31/52.91 tff(19907,plain,
% 83.31/52.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB133, constB134)) | v241(constB133) | (~v243(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19908,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB133, constB134)) | v241(constB133) | (~v243(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 83.31/52.92 tff(19909,plain,
% 83.31/52.92 (v241(constB133) | (~v243(constB134))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19908, 4920, 18560])).
% 83.31/52.92 tff(19910,plain,
% 83.31/52.92 (~v243(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19909, 19905])).
% 83.31/52.92 tff(19911,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB134) | (~v244(constB134)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB134) | (~v244(constB134)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19912,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB134) | (~v244(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19913,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB134) | (~v244(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19912, 19911])).
% 83.31/52.92 tff(19914,plain,
% 83.31/52.92 (~v244(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19913, 4935, 19910])).
% 83.31/52.92 tff(19915,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB134) | (~v247(constB134)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB134) | (~v247(constB134)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19916,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB134) | (~v247(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19917,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB134) | (~v247(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19916, 19915])).
% 83.31/52.92 tff(19918,plain,
% 83.31/52.92 (~v247(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19917, 4949, 19471])).
% 83.31/52.92 tff(19919,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB134) | (~v246(constB134)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB134) | (~v246(constB134)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19920,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB134) | (~v246(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19921,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB134) | (~v246(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 83.31/52.92 tff(19922,plain,
% 83.31/52.92 (~v246(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19921, 4863, 19918])).
% 83.31/52.92 tff(19923,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB134) | (~v245(constB134)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB134) | (~v245(constB134)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19924,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB134) | (~v245(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19925,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB134) | (~v245(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19924, 19923])).
% 83.31/52.92 tff(19926,plain,
% 83.31/52.92 (~v245(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19925, 4877, 19922])).
% 83.31/52.92 tff(19927,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB134) | v245(constB134) | (~v241(constB134)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB134) | v245(constB134) | (~v241(constB134)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19928,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB134) | v245(constB134) | (~v241(constB134)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19929,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB134) | v245(constB134) | (~v241(constB134))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19928, 19927])).
% 83.31/52.92 tff(19930,plain,
% 83.31/52.92 (v244(constB134) | (~v241(constB134))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19929, 4905, 19926])).
% 83.31/52.92 tff(19931,plain,
% 83.31/52.92 (~v241(constB134)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19930, 19914])).
% 83.31/52.92 tff(19932,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB134, constB135)) | v241(constB134) | (~v243(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB134, constB135)) | v241(constB134) | (~v243(constB135)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19933,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB134, constB135)) | v241(constB134) | (~v243(constB135)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19934,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB134, constB135)) | v241(constB134) | (~v243(constB135))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 83.31/52.92 tff(19935,plain,
% 83.31/52.92 (v241(constB134) | (~v243(constB135))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19934, 4920, 18646])).
% 83.31/52.92 tff(19936,plain,
% 83.31/52.92 (~v243(constB135)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19935, 19931])).
% 83.31/52.92 tff(19937,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB135) | (~v244(constB135)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB135) | (~v244(constB135)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19938,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB135) | (~v244(constB135)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19939,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB135) | (~v244(constB135))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 83.31/52.92 tff(19940,plain,
% 83.31/52.92 (~v244(constB135)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19939, 4935, 19936])).
% 83.31/52.92 tff(19941,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB135) | v245(constB135) | (~v241(constB135)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB135) | v245(constB135) | (~v241(constB135)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19942,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB135) | v245(constB135) | (~v241(constB135)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19943,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB135) | v245(constB135) | (~v241(constB135))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 83.31/52.92 tff(19944,plain,
% 83.31/52.92 (v245(constB135) | (~v241(constB135))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19943, 4905, 19940])).
% 83.31/52.92 tff(19945,plain,
% 83.31/52.92 (~v241(constB135)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19944, 19720])).
% 83.31/52.92 tff(19946,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB135, constB136)) | v241(constB135) | (~v243(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB135, constB136)) | v241(constB135) | (~v243(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19947,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB135, constB136)) | v241(constB135) | (~v243(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19948,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB135, constB136)) | v241(constB135) | (~v243(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19947, 19946])).
% 83.31/52.92 tff(19949,plain,
% 83.31/52.92 (v241(constB135) | (~v243(constB136))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19948, 4920, 18791])).
% 83.31/52.92 tff(19950,plain,
% 83.31/52.92 (~v243(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19949, 19945])).
% 83.31/52.92 tff(19951,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB136) | (~v244(constB136)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB136) | (~v244(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19952,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB136) | (~v244(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19953,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB136) | (~v244(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19952, 19951])).
% 83.31/52.92 tff(19954,plain,
% 83.31/52.92 (~v244(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19953, 4935, 19950])).
% 83.31/52.92 tff(19955,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB136) | (~v247(constB136)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB136) | (~v247(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19956,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB136) | (~v247(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19957,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB136) | (~v247(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 83.31/52.92 tff(19958,plain,
% 83.31/52.92 (~v247(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19957, 4949, 19690])).
% 83.31/52.92 tff(19959,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB136) | (~v246(constB136)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB136) | (~v246(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19960,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB136) | (~v246(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19961,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB136) | (~v246(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19960, 19959])).
% 83.31/52.92 tff(19962,plain,
% 83.31/52.92 (~v246(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19961, 4863, 19958])).
% 83.31/52.92 tff(19963,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB136) | (~v245(constB136)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB136) | (~v245(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19964,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB136) | (~v245(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19965,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB136) | (~v245(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19964, 19963])).
% 83.31/52.92 tff(19966,plain,
% 83.31/52.92 (~v245(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19965, 4877, 19962])).
% 83.31/52.92 tff(19967,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB136) | v245(constB136) | (~v241(constB136)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB136) | v245(constB136) | (~v241(constB136)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19968,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB136) | v245(constB136) | (~v241(constB136)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19969,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB136) | v245(constB136) | (~v241(constB136))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19968, 19967])).
% 83.31/52.92 tff(19970,plain,
% 83.31/52.92 (v244(constB136) | (~v241(constB136))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19969, 4905, 19966])).
% 83.31/52.92 tff(19971,plain,
% 83.31/52.92 (~v241(constB136)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19970, 19954])).
% 83.31/52.92 tff(19972,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB136, constB137)) | v241(constB136) | (~v243(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB136, constB137)) | v241(constB136) | (~v243(constB137)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19973,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB136, constB137)) | v241(constB136) | (~v243(constB137)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19974,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB136, constB137)) | v241(constB136) | (~v243(constB137))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 83.31/52.92 tff(19975,plain,
% 83.31/52.92 (v241(constB136) | (~v243(constB137))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19974, 4920, 18850])).
% 83.31/52.92 tff(19976,plain,
% 83.31/52.92 (~v243(constB137)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19975, 19971])).
% 83.31/52.92 tff(19977,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB137) | (~v244(constB137)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB137) | (~v244(constB137)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19978,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB137) | (~v244(constB137)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19979,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB137) | (~v244(constB137))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 83.31/52.92 tff(19980,plain,
% 83.31/52.92 (~v244(constB137)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19979, 4935, 19976])).
% 83.31/52.92 tff(19981,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB137) | v245(constB137) | (~v241(constB137)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB137) | v245(constB137) | (~v241(constB137)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19982,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB137) | v245(constB137) | (~v241(constB137)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19983,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB137) | v245(constB137) | (~v241(constB137))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19982, 19981])).
% 83.31/52.92 tff(19984,plain,
% 83.31/52.92 (v245(constB137) | (~v241(constB137))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19983, 4905, 19980])).
% 83.31/52.92 tff(19985,plain,
% 83.31/52.92 (~v241(constB137)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19984, 19716])).
% 83.31/52.92 tff(19986,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB137, constB138)) | v241(constB137) | (~v243(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB137, constB138)) | v241(constB137) | (~v243(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19987,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB137, constB138)) | v241(constB137) | (~v243(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19988,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB137, constB138)) | v241(constB137) | (~v243(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19987, 19986])).
% 83.31/52.92 tff(19989,plain,
% 83.31/52.92 (v241(constB137) | (~v243(constB138))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19988, 4920, 16465])).
% 83.31/52.92 tff(19990,plain,
% 83.31/52.92 (~v243(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19989, 19985])).
% 83.31/52.92 tff(19991,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB138) | (~v244(constB138)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB138) | (~v244(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19992,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB138) | (~v244(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19993,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB138) | (~v244(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19992, 19991])).
% 83.31/52.92 tff(19994,plain,
% 83.31/52.92 (~v244(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19993, 4935, 19990])).
% 83.31/52.92 tff(19995,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB138) | (~v247(constB138)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB138) | (~v247(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(19996,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB138) | (~v247(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(19997,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB138) | (~v247(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[19996, 19995])).
% 83.31/52.92 tff(19998,plain,
% 83.31/52.92 (~v247(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[19997, 4949, 19016])).
% 83.31/52.92 tff(19999,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB138) | (~v246(constB138)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB138) | (~v246(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20000,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB138) | (~v246(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20001,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB138) | (~v246(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20000, 19999])).
% 83.31/52.92 tff(20002,plain,
% 83.31/52.92 (~v246(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20001, 4863, 19998])).
% 83.31/52.92 tff(20003,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB138) | (~v245(constB138)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB138) | (~v245(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20004,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB138) | (~v245(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20005,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB138) | (~v245(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 83.31/52.92 tff(20006,plain,
% 83.31/52.92 (~v245(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20005, 4877, 20002])).
% 83.31/52.92 tff(20007,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB138) | v245(constB138) | (~v241(constB138)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB138) | v245(constB138) | (~v241(constB138)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20008,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB138) | v245(constB138) | (~v241(constB138)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20009,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB138) | v245(constB138) | (~v241(constB138))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 83.31/52.92 tff(20010,plain,
% 83.31/52.92 (v244(constB138) | (~v241(constB138))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20009, 4905, 20006])).
% 83.31/52.92 tff(20011,plain,
% 83.31/52.92 (~v241(constB138)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20010, 19994])).
% 83.31/52.92 tff(20012,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB138, constB139)) | v241(constB138) | (~v243(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB138, constB139)) | v241(constB138) | (~v243(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20013,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB138, constB139)) | v241(constB138) | (~v243(constB139)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20014,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB138, constB139)) | v241(constB138) | (~v243(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20013, 20012])).
% 83.31/52.92 tff(20015,plain,
% 83.31/52.92 (v241(constB138) | (~v243(constB139))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20014, 4920, 19032])).
% 83.31/52.92 tff(20016,plain,
% 83.31/52.92 (~v243(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20015, 20011])).
% 83.31/52.92 tff(20017,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB139) | (~v302(constB139)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB139) | (~v302(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20018,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB139) | (~v302(constB139)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20019,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB139) | (~v302(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20018, 20017])).
% 83.31/52.92 tff(20020,plain,
% 83.31/52.92 (~v302(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20019, 5060, 20016])).
% 83.31/52.92 tff(20021,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB139) | v302(constB139) | v290(constB139))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB139) | v302(constB139) | v290(constB139))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20022,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB139) | v302(constB139) | v290(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20023,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB139) | v302(constB139) | v290(constB139)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20022, 20021])).
% 83.31/52.92 tff(20024,plain,
% 83.31/52.92 (v292(constB139) | v290(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20023, 5074, 20020])).
% 83.31/52.92 tff(20025,plain,
% 83.31/52.92 (v290(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20024, 19359])).
% 83.31/52.92 tff(20026,plain,
% 83.31/52.92 ($false),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20025, 16442])).
% 83.31/52.92 tff(20027,plain,((~(constB139 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.92 tff(20028,plain,
% 83.31/52.92 (~(constB139 = sK_VarCurr)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20027, 5241])).
% 83.31/52.92 tff(20029,assumption,(constB149 = sK_VarCurr), introduced(assumption)).
% 83.31/52.92 tff(20030,plain,
% 83.31/52.92 (v290(constB149) <=> v290(sK_VarCurr)),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20029])).
% 83.31/52.92 tff(20031,plain,
% 83.31/52.92 (v290(sK_VarCurr) <=> v290(constB149)),
% 83.31/52.92 inference(symmetry,[status(thm)],[20030])).
% 83.31/52.92 tff(20032,plain,
% 83.31/52.92 ((~v290(sK_VarCurr)) <=> (~v290(constB149))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20031])).
% 83.31/52.92 tff(20033,plain,
% 83.31/52.92 (~v290(constB149)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[5241, 20032])).
% 83.31/52.92 tff(20034,assumption,(v26(constB143)), introduced(assumption)).
% 83.31/52.92 tff(20035,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20036,plain,
% 83.31/52.92 ($false),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20035, 19, 20034])).
% 83.31/52.92 tff(20037,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.92 tff(20038,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20039,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20040,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 83.31/52.92 tff(20041,plain,
% 83.31/52.92 (v122(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20040, 1187, 19243, 19208, 19173])).
% 83.31/52.92 tff(20042,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20043,plain,
% 83.31/52.92 (((~v122(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v122(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20044,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20043])).
% 83.31/52.92 tff(20045,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20044, 20042])).
% 83.31/52.92 tff(20046,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20047,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 83.31/52.92 tff(20048,plain,
% 83.31/52.92 (v116(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20047, 1257, 20041])).
% 83.31/52.92 tff(20049,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20050,plain,
% 83.31/52.92 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20051,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20050])).
% 83.31/52.92 tff(20052,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20051, 20049])).
% 83.31/52.92 tff(20053,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20054,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 83.31/52.92 tff(20055,plain,
% 83.31/52.92 (v115(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20054, 214, 20048])).
% 83.31/52.92 tff(20056,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20057,plain,
% 83.31/52.92 (((~v115(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v115(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20058,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v115(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20057])).
% 83.31/52.92 tff(20059,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20058, 20056])).
% 83.31/52.92 tff(20060,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20061,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v115(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 83.31/52.92 tff(20062,plain,
% 83.31/52.92 (v114(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20061, 228, 20055])).
% 83.31/52.92 tff(20063,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20064,plain,
% 83.31/52.92 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20065,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20064])).
% 83.31/52.92 tff(20066,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20065, 20063])).
% 83.31/52.92 tff(20067,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20068,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 83.31/52.92 tff(20069,plain,
% 83.31/52.92 (v113(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20068, 242, 20062])).
% 83.31/52.92 tff(20070,assumption,(v26(constB139)), introduced(assumption)).
% 83.31/52.92 tff(20071,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20072,plain,
% 83.31/52.92 ($false),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20071, 19, 20070])).
% 83.31/52.92 tff(20073,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.92 tff(20074,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20075,plain,
% 83.31/52.92 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20076,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20075])).
% 83.31/52.92 tff(20077,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20076, 20074])).
% 83.31/52.92 tff(20078,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20079,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 83.31/52.92 tff(20080,plain,
% 83.31/52.92 (v112(constB139) | (~v113(constB139))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20079, 256, 20073])).
% 83.31/52.92 tff(20081,plain,
% 83.31/52.92 (v112(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20080, 20069])).
% 83.31/52.92 tff(20082,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20083,plain,
% 83.31/52.92 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20084,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20083])).
% 83.31/52.92 tff(20085,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20084, 20082])).
% 83.31/52.92 tff(20086,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20087,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 83.31/52.92 tff(20088,plain,
% 83.31/52.92 (v108(constB139)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20087, 268, 20081])).
% 83.31/52.92 tff(20089,plain,
% 83.31/52.92 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20090,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 83.31/52.92 tff(20091,plain,
% 83.31/52.92 (nextState(constB139, constB140)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 83.31/52.92 tff(20092,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20093,plain,
% 83.31/52.92 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20094,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20093])).
% 83.31/52.92 tff(20095,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20094, 20092])).
% 83.31/52.92 tff(20096,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20097,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20096, 20095])).
% 83.31/52.92 tff(20098,plain,
% 83.31/52.92 (v110(constB140) | (~v108(constB139))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20097, 288, 20091])).
% 83.31/52.92 tff(20099,plain,
% 83.31/52.92 (v110(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20098, 20088])).
% 83.31/52.92 tff(20100,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20101,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20102,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20101, 20100])).
% 83.31/52.92 tff(20103,plain,
% 83.31/52.92 (~v104(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20102, 306, 20091, 19152])).
% 83.31/52.92 tff(20104,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20105,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20106,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 83.31/52.92 tff(20107,plain,
% 83.31/52.92 (v102(constB140) | v104(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20106, 320, 20091])).
% 83.31/52.92 tff(20108,plain,
% 83.31/52.92 (v102(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20107, 20103])).
% 83.31/52.92 tff(20109,plain,
% 83.31/52.92 (v1(constB140) <=> v1(constB140)),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20110,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 83.31/52.92 tff(20111,plain,
% 83.31/52.92 (v1(constB140)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20110, 20109])).
% 83.31/52.92 tff(20112,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20113,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20114,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20113, 20112])).
% 83.31/52.92 tff(20115,plain,
% 83.31/52.92 (v101(constB140) | (~v102(constB140))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20114, 338, 20091, 20111])).
% 83.31/52.92 tff(20116,plain,
% 83.31/52.92 (v101(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20115, 20108])).
% 83.31/52.92 tff(20117,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20118,plain,
% 83.31/52.92 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20119,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 83.31/52.92 inference(monotonicity,[status(thm)],[20118])).
% 83.31/52.92 tff(20120,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 83.31/52.92 inference(transitivity,[status(thm)],[20119, 20117])).
% 83.31/52.92 tff(20121,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20122,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20121, 20120])).
% 83.31/52.92 tff(20123,plain,
% 83.31/52.92 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20122, 353, 20091])).
% 83.31/52.92 tff(20124,plain,
% 83.31/52.92 (v100(constB140) | (~v110(constB140))),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20123, 20116])).
% 83.31/52.92 tff(20125,plain,
% 83.31/52.92 (v100(constB140)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20124, 20099])).
% 83.31/52.92 tff(20126,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20127,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20128,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20127, 20126])).
% 83.31/52.92 tff(20129,plain,
% 83.31/52.92 (v130(constB139, 2)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20128, 1198, 20041])).
% 83.31/52.92 tff(20130,plain,
% 83.31/52.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20131,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20132,plain,
% 83.31/52.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20131, 20130])).
% 83.31/52.92 tff(20133,plain,
% 83.31/52.92 ((~v130(constB139, 2)) | v127(constB139, 2)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20132, 1212, 20073])).
% 83.31/52.92 tff(20134,plain,
% 83.31/52.92 (v127(constB139, 2)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20133, 20129])).
% 83.31/52.92 tff(20135,plain,
% 83.31/52.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20136,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 83.31/52.92 inference(quant_inst,[status(thm)],[])).
% 83.31/52.92 tff(20137,plain,
% 83.31/52.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2)),
% 83.31/52.92 inference(modus_ponens,[status(thm)],[20136, 20135])).
% 83.31/52.92 tff(20138,plain,
% 83.31/52.92 ((~v127(constB139, 2)) | v129(constB140, 2)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20137, 1230, 20091])).
% 83.31/52.92 tff(20139,plain,
% 83.31/52.92 (v129(constB140, 2)),
% 83.31/52.92 inference(unit_resolution,[status(thm)],[20138, 20134])).
% 83.31/52.92 tff(20140,plain,
% 83.31/52.92 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 83.31/52.92 inference(rewrite,[status(thm)],[])).
% 83.31/52.92 tff(20141,plain,
% 83.31/52.92 ((v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2))) <=> (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20142,plain,
% 83.31/52.93 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20141])).
% 83.31/52.93 tff(20143,plain,
% 83.31/52.93 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20142, 20140])).
% 83.31/52.93 tff(20144,plain,
% 83.31/52.93 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20145,plain,
% 83.31/52.93 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20144, 20143])).
% 83.31/52.93 tff(20146,plain,
% 83.31/52.93 (v90(constB140, 2) | (~v100(constB140))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20145, 1338, 20139])).
% 83.31/52.93 tff(20147,plain,
% 83.31/52.93 (v90(constB140, 2)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20146, 20125])).
% 83.31/52.93 tff(20148,plain,
% 83.31/52.93 ((~v1(constB141)) <=> (~v1(constB141))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20149,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 83.31/52.93 tff(20150,plain,
% 83.31/52.93 (~v1(constB141)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 83.31/52.93 tff(20151,plain,
% 83.31/52.93 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20152,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 83.31/52.93 tff(20153,plain,
% 83.31/52.93 (nextState(constB140, constB141)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20152, 20151])).
% 83.31/52.93 tff(20154,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20155,plain,
% 83.31/52.93 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20156,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20155])).
% 83.31/52.93 tff(20157,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20156, 20154])).
% 83.31/52.93 tff(20158,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20159,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20158, 20157])).
% 83.31/52.93 tff(20160,plain,
% 83.31/52.93 (~v101(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20159, 66, 20153, 20150])).
% 83.31/52.93 tff(20161,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20162,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20163,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20162, 20161])).
% 83.31/52.93 tff(20164,plain,
% 83.31/52.93 (v101(constB141) | (~v100(constB141))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20163, 83, 20153])).
% 83.31/52.93 tff(20165,plain,
% 83.31/52.93 (~v100(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20164, 20160])).
% 83.31/52.93 tff(20166,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20167,plain,
% 83.31/52.93 (((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)) <=> ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20168,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20167])).
% 83.31/52.93 tff(20169,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20168, 20166])).
% 83.31/52.93 tff(20170,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20171,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20170, 20169])).
% 83.31/52.93 tff(20172,plain,
% 83.31/52.93 ((~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20171, 1374, 20153])).
% 83.31/52.93 tff(20173,plain,
% 83.31/52.93 ((~v90(constB140, 2)) | v90(constB141, 2)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20172, 20165])).
% 83.31/52.93 tff(20174,plain,
% 83.31/52.93 (v90(constB141, 2)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20173, 20147])).
% 83.31/52.93 tff(20175,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20176,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20177,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20176, 20175])).
% 83.31/52.93 tff(20178,plain,
% 83.31/52.93 (~v130(constB139, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20177, 1390, 20041])).
% 83.31/52.93 tff(20179,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20180,plain,
% 83.31/52.93 ((v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1))) <=> ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20181,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20180])).
% 83.31/52.93 tff(20182,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20181, 20179])).
% 83.31/52.93 tff(20183,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20184,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 83.31/52.93 tff(20185,plain,
% 83.31/52.93 ((~v127(constB139, 1)) | v130(constB139, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20184, 383, 20073])).
% 83.31/52.93 tff(20186,plain,
% 83.31/52.93 (~v127(constB139, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20185, 20178])).
% 83.31/52.93 tff(20187,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20188,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20189,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 83.31/52.93 tff(20190,plain,
% 83.31/52.93 (v127(constB139, 1) | (~v129(constB140, 1))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20189, 401, 20091])).
% 83.31/52.93 tff(20191,plain,
% 83.31/52.93 (~v129(constB140, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20190, 20186])).
% 83.31/52.93 tff(20192,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20193,plain,
% 83.31/52.93 (((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1)) <=> ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20194,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20193])).
% 83.31/52.93 tff(20195,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20194, 20192])).
% 83.31/52.93 tff(20196,plain,
% 83.31/52.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20197,plain,
% 83.31/52.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20196, 20195])).
% 83.31/52.93 tff(20198,plain,
% 83.31/52.93 ((~v90(constB140, 1)) | (~v100(constB140))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20197, 416, 20191])).
% 83.31/52.93 tff(20199,plain,
% 83.31/52.93 (~v90(constB140, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20198, 20125])).
% 83.31/52.93 tff(20200,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20201,plain,
% 83.31/52.93 (((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))) <=> (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20202,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20201])).
% 83.31/52.93 tff(20203,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20202, 20200])).
% 83.31/52.93 tff(20204,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20205,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20204, 20203])).
% 83.31/52.93 tff(20206,plain,
% 83.31/52.93 (v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20205, 119, 20153])).
% 83.31/52.93 tff(20207,plain,
% 83.31/52.93 (v90(constB140, 1) | (~v90(constB141, 1))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20206, 20165])).
% 83.31/52.93 tff(20208,plain,
% 83.31/52.93 (~v90(constB141, 1)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20207, 20199])).
% 83.31/52.93 tff(20209,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20210,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20211,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 83.31/52.93 tff(20212,plain,
% 83.31/52.93 (~v130(constB139, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20211, 1431, 20041])).
% 83.31/52.93 tff(20213,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20214,plain,
% 83.31/52.93 ((v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0))) <=> ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20215,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20214])).
% 83.31/52.93 tff(20216,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20215, 20213])).
% 83.31/52.93 tff(20217,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20218,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20217, 20216])).
% 83.31/52.93 tff(20219,plain,
% 83.31/52.93 ((~v127(constB139, 0)) | v130(constB139, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20218, 896, 20073])).
% 83.31/52.93 tff(20220,plain,
% 83.31/52.93 (~v127(constB139, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20219, 20212])).
% 83.31/52.93 tff(20221,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20222,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20223,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 83.31/52.93 tff(20224,plain,
% 83.31/52.93 (v127(constB139, 0) | (~v129(constB140, 0))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20223, 914, 20091])).
% 83.31/52.93 tff(20225,plain,
% 83.31/52.93 (~v129(constB140, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20224, 20220])).
% 83.31/52.93 tff(20226,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20227,plain,
% 83.31/52.93 (((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0)) <=> ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20228,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20227])).
% 83.31/52.93 tff(20229,plain,
% 83.31/52.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20228, 20226])).
% 83.31/52.93 tff(20230,plain,
% 83.31/52.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20231,plain,
% 83.31/52.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20230, 20229])).
% 83.31/52.93 tff(20232,plain,
% 83.31/52.93 ((~v90(constB140, 0)) | (~v100(constB140))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20231, 929, 20225])).
% 83.31/52.93 tff(20233,plain,
% 83.31/52.93 (~v90(constB140, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20232, 20125])).
% 83.31/52.93 tff(20234,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20235,plain,
% 83.31/52.93 (((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))) <=> (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20236,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20235])).
% 83.31/52.93 tff(20237,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20236, 20234])).
% 83.31/52.93 tff(20238,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20239,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20238, 20237])).
% 83.31/52.93 tff(20240,plain,
% 83.31/52.93 (v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20239, 140, 20153])).
% 83.31/52.93 tff(20241,plain,
% 83.31/52.93 (v90(constB140, 0) | (~v90(constB141, 0))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20240, 20165])).
% 83.31/52.93 tff(20242,plain,
% 83.31/52.93 (~v90(constB141, 0)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20241, 20233])).
% 83.31/52.93 tff(20243,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20244,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20245,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 83.31/52.93 tff(20246,plain,
% 83.31/52.93 (v123(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20245, 1475, 20242, 20208, 20174])).
% 83.31/52.93 tff(20247,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB141)) | v115(constB141))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20248,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20249,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB141)) | v115(constB141)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20248, 20247])).
% 83.31/52.93 tff(20250,plain,
% 83.31/52.93 (v115(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20249, 1486, 20246])).
% 83.31/52.93 tff(20251,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20252,plain,
% 83.31/52.93 (((~v115(constB141)) | v114(constB141)) <=> (v114(constB141) | (~v115(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20253,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB141) | (~v115(constB141))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20252])).
% 83.31/52.93 tff(20254,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20253, 20251])).
% 83.31/52.93 tff(20255,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20256,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB141) | (~v115(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 83.31/52.93 tff(20257,plain,
% 83.31/52.93 (v114(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20256, 228, 20250])).
% 83.31/52.93 tff(20258,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20259,plain,
% 83.31/52.93 (((~v114(constB141)) | v113(constB141)) <=> (v113(constB141) | (~v114(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20260,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20259])).
% 83.31/52.93 tff(20261,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20260, 20258])).
% 83.31/52.93 tff(20262,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20263,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20262, 20261])).
% 83.31/52.93 tff(20264,plain,
% 83.31/52.93 (v113(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20263, 242, 20257])).
% 83.31/52.93 tff(20265,assumption,(v26(constB141)), introduced(assumption)).
% 83.31/52.93 tff(20266,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20267,plain,
% 83.31/52.93 ($false),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20266, 19, 20265])).
% 83.31/52.93 tff(20268,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.93 tff(20269,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20270,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20271,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | (~v113(constB141)) | v112(constB141)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20270, 20269])).
% 83.31/52.93 tff(20272,plain,
% 83.31/52.93 ((~v113(constB141)) | v112(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20271, 256, 20268])).
% 83.31/52.93 tff(20273,plain,
% 83.31/52.93 (v112(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20272, 20264])).
% 83.31/52.93 tff(20274,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20275,plain,
% 83.31/52.93 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20276,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20275])).
% 83.31/52.93 tff(20277,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20276, 20274])).
% 83.31/52.93 tff(20278,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20279,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20278, 20277])).
% 83.31/52.93 tff(20280,plain,
% 83.31/52.93 (v108(constB141)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20279, 268, 20273])).
% 83.31/52.93 tff(20281,plain,
% 83.31/52.93 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20282,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 83.31/52.93 tff(20283,plain,
% 83.31/52.93 (nextState(constB141, constB142)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 83.31/52.93 tff(20284,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20285,plain,
% 83.31/52.93 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20286,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20285])).
% 83.31/52.93 tff(20287,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20286, 20284])).
% 83.31/52.93 tff(20288,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20289,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20288, 20287])).
% 83.31/52.93 tff(20290,plain,
% 83.31/52.93 (v110(constB142) | (~v108(constB141))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20289, 288, 20283])).
% 83.31/52.93 tff(20291,plain,
% 83.31/52.93 (v110(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20290, 20280])).
% 83.31/52.93 tff(20292,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20293,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20294,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 83.31/52.93 tff(20295,plain,
% 83.31/52.93 (~v104(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20294, 306, 20283, 20150])).
% 83.31/52.93 tff(20296,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20297,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20298,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 83.31/52.93 tff(20299,plain,
% 83.31/52.93 (v102(constB142) | v104(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20298, 320, 20283])).
% 83.31/52.93 tff(20300,plain,
% 83.31/52.93 (v102(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20299, 20295])).
% 83.31/52.93 tff(20301,plain,
% 83.31/52.93 (v1(constB142) <=> v1(constB142)),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20302,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 83.31/52.93 tff(20303,plain,
% 83.31/52.93 (v1(constB142)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 83.31/52.93 tff(20304,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20305,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20306,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 83.31/52.93 tff(20307,plain,
% 83.31/52.93 (v101(constB142) | (~v102(constB142))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20306, 338, 20283, 20303])).
% 83.31/52.93 tff(20308,plain,
% 83.31/52.93 (v101(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20307, 20300])).
% 83.31/52.93 tff(20309,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20310,plain,
% 83.31/52.93 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20311,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 83.31/52.93 inference(monotonicity,[status(thm)],[20310])).
% 83.31/52.93 tff(20312,plain,
% 83.31/52.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 83.31/52.93 inference(transitivity,[status(thm)],[20311, 20309])).
% 83.31/52.93 tff(20313,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20314,plain,
% 83.31/52.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 83.31/52.93 tff(20315,plain,
% 83.31/52.93 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20314, 353, 20283])).
% 83.31/52.93 tff(20316,plain,
% 83.31/52.93 (v100(constB142) | (~v110(constB142))),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20315, 20308])).
% 83.31/52.93 tff(20317,plain,
% 83.31/52.93 (v100(constB142)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20316, 20291])).
% 83.31/52.93 tff(20318,plain,
% 83.31/52.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2))),
% 83.31/52.93 inference(rewrite,[status(thm)],[])).
% 83.31/52.93 tff(20319,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))),
% 83.31/52.93 inference(quant_inst,[status(thm)],[])).
% 83.31/52.93 tff(20320,plain,
% 83.31/52.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2)),
% 83.31/52.93 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 83.31/52.93 tff(20321,plain,
% 83.31/52.93 (v130(constB141, 2)),
% 83.31/52.93 inference(unit_resolution,[status(thm)],[20320, 1567, 20246])).
% 83.31/52.94 tff(20322,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20323,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20324,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20323, 20322])).
% 83.31/52.94 tff(20325,plain,
% 83.31/52.94 ((~v130(constB141, 2)) | v127(constB141, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20324, 1212, 20268])).
% 83.31/52.94 tff(20326,plain,
% 83.31/52.94 (v127(constB141, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20325, 20321])).
% 83.31/52.94 tff(20327,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20328,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20329,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 83.31/52.94 tff(20330,plain,
% 83.31/52.94 ((~v127(constB141, 2)) | v129(constB142, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20329, 1230, 20283])).
% 83.31/52.94 tff(20331,plain,
% 83.31/52.94 (v129(constB142, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20330, 20326])).
% 83.31/52.94 tff(20332,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20333,plain,
% 83.31/52.94 ((v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2))) <=> (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20334,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20333])).
% 83.31/52.94 tff(20335,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20334, 20332])).
% 83.31/52.94 tff(20336,plain,
% 83.31/52.94 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20337,plain,
% 83.31/52.94 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 83.31/52.94 tff(20338,plain,
% 83.31/52.94 (v90(constB142, 2) | (~v100(constB142))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20337, 1338, 20331])).
% 83.31/52.94 tff(20339,plain,
% 83.31/52.94 (v90(constB142, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20338, 20317])).
% 83.31/52.94 tff(20340,plain,
% 83.31/52.94 ((~v1(constB143)) <=> (~v1(constB143))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20341,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 83.31/52.94 tff(20342,plain,
% 83.31/52.94 (~v1(constB143)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 83.31/52.94 tff(20343,plain,
% 83.31/52.94 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20344,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 83.31/52.94 tff(20345,plain,
% 83.31/52.94 (nextState(constB142, constB143)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20344, 20343])).
% 83.31/52.94 tff(20346,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20347,plain,
% 83.31/52.94 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20348,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20347])).
% 83.31/52.94 tff(20349,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20348, 20346])).
% 83.31/52.94 tff(20350,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20351,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20350, 20349])).
% 83.31/52.94 tff(20352,plain,
% 83.31/52.94 (~v101(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20351, 66, 20345, 20342])).
% 83.31/52.94 tff(20353,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20354,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20355,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 83.31/52.94 tff(20356,plain,
% 83.31/52.94 (v101(constB143) | (~v100(constB143))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20355, 83, 20345])).
% 83.31/52.94 tff(20357,plain,
% 83.31/52.94 (~v100(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20356, 20352])).
% 83.31/52.94 tff(20358,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20359,plain,
% 83.31/52.94 (((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)) <=> ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20360,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20359])).
% 83.31/52.94 tff(20361,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20360, 20358])).
% 83.31/52.94 tff(20362,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20363,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20362, 20361])).
% 83.31/52.94 tff(20364,plain,
% 83.31/52.94 ((~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20363, 1374, 20345])).
% 83.31/52.94 tff(20365,plain,
% 83.31/52.94 ((~v90(constB142, 2)) | v90(constB143, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20364, 20357])).
% 83.31/52.94 tff(20366,plain,
% 83.31/52.94 (v90(constB143, 2)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20365, 20339])).
% 83.31/52.94 tff(20367,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20368,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20369,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 83.31/52.94 tff(20370,plain,
% 83.31/52.94 (~v130(constB141, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20369, 1623, 20246])).
% 83.31/52.94 tff(20371,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20372,plain,
% 83.31/52.94 ((v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1))) <=> ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20373,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20372])).
% 83.31/52.94 tff(20374,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20373, 20371])).
% 83.31/52.94 tff(20375,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20376,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 83.31/52.94 tff(20377,plain,
% 83.31/52.94 ((~v127(constB141, 1)) | v130(constB141, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20376, 383, 20268])).
% 83.31/52.94 tff(20378,plain,
% 83.31/52.94 (~v127(constB141, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20377, 20370])).
% 83.31/52.94 tff(20379,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20380,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20381,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20380, 20379])).
% 83.31/52.94 tff(20382,plain,
% 83.31/52.94 (v127(constB141, 1) | (~v129(constB142, 1))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20381, 401, 20283])).
% 83.31/52.94 tff(20383,plain,
% 83.31/52.94 (~v129(constB142, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20382, 20378])).
% 83.31/52.94 tff(20384,plain,
% 83.31/52.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20385,plain,
% 83.31/52.94 (((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1)) <=> ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20386,plain,
% 83.31/52.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20385])).
% 83.31/52.94 tff(20387,plain,
% 83.31/52.94 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20386, 20384])).
% 83.31/52.94 tff(20388,plain,
% 83.31/52.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20389,plain,
% 83.31/52.94 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 83.31/52.94 tff(20390,plain,
% 83.31/52.94 ((~v90(constB142, 1)) | (~v100(constB142))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20389, 416, 20383])).
% 83.31/52.94 tff(20391,plain,
% 83.31/52.94 (~v90(constB142, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20390, 20317])).
% 83.31/52.94 tff(20392,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20393,plain,
% 83.31/52.94 (((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))) <=> (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20394,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20393])).
% 83.31/52.94 tff(20395,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20394, 20392])).
% 83.31/52.94 tff(20396,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20397,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20396, 20395])).
% 83.31/52.94 tff(20398,plain,
% 83.31/52.94 (v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20397, 119, 20345])).
% 83.31/52.94 tff(20399,plain,
% 83.31/52.94 (v90(constB142, 1) | (~v90(constB143, 1))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20398, 20357])).
% 83.31/52.94 tff(20400,plain,
% 83.31/52.94 (~v90(constB143, 1)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20399, 20391])).
% 83.31/52.94 tff(20401,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20402,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20403,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20402, 20401])).
% 83.31/52.94 tff(20404,plain,
% 83.31/52.94 (v130(constB141, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20403, 1664, 20246])).
% 83.31/52.94 tff(20405,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20406,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20407,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 83.31/52.94 tff(20408,plain,
% 83.31/52.94 ((~v130(constB141, 0)) | v127(constB141, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20407, 478, 20268])).
% 83.31/52.94 tff(20409,plain,
% 83.31/52.94 (v127(constB141, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20408, 20404])).
% 83.31/52.94 tff(20410,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20411,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20412,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 83.31/52.94 tff(20413,plain,
% 83.31/52.94 ((~v127(constB141, 0)) | v129(constB142, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20412, 493, 20283])).
% 83.31/52.94 tff(20414,plain,
% 83.31/52.94 (v129(constB142, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20413, 20409])).
% 83.31/52.94 tff(20415,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20416,plain,
% 83.31/52.94 ((v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0))) <=> (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20417,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20416])).
% 83.31/52.94 tff(20418,plain,
% 83.31/52.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20417, 20415])).
% 83.31/52.94 tff(20419,plain,
% 83.31/52.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20420,plain,
% 83.31/52.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 83.31/52.94 tff(20421,plain,
% 83.31/52.94 (v90(constB142, 0) | (~v100(constB142))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20420, 508, 20414])).
% 83.31/52.94 tff(20422,plain,
% 83.31/52.94 (v90(constB142, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20421, 20317])).
% 83.31/52.94 tff(20423,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20424,plain,
% 83.31/52.94 (((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)) <=> ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20425,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20424])).
% 83.31/52.94 tff(20426,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20425, 20423])).
% 83.31/52.94 tff(20427,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20428,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 83.31/52.94 tff(20429,plain,
% 83.31/52.94 ((~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20428, 526, 20345])).
% 83.31/52.94 tff(20430,plain,
% 83.31/52.94 ((~v90(constB142, 0)) | v90(constB143, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20429, 20357])).
% 83.31/52.94 tff(20431,plain,
% 83.31/52.94 (v90(constB143, 0)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20430, 20422])).
% 83.31/52.94 tff(20432,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20433,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20434,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 83.31/52.94 tff(20435,plain,
% 83.31/52.94 (v124(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20434, 1705, 20431, 20400, 20366])).
% 83.31/52.94 tff(20436,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20437,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20438,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB143)) | v114(constB143)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20437, 20436])).
% 83.31/52.94 tff(20439,plain,
% 83.31/52.94 (v114(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20438, 1741, 20435])).
% 83.31/52.94 tff(20440,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20441,plain,
% 83.31/52.94 (((~v114(constB143)) | v113(constB143)) <=> (v113(constB143) | (~v114(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20442,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB143) | (~v114(constB143))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20441])).
% 83.31/52.94 tff(20443,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20442, 20440])).
% 83.31/52.94 tff(20444,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20445,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB143) | (~v114(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 83.31/52.94 tff(20446,plain,
% 83.31/52.94 (v113(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20445, 242, 20439])).
% 83.31/52.94 tff(20447,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20448,plain,
% 83.31/52.94 ((v26(constB143) | (~v113(constB143)) | v112(constB143)) <=> (v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20449,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | v112(constB143) | (~v113(constB143))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20448])).
% 83.31/52.94 tff(20450,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20449, 20447])).
% 83.31/52.94 tff(20451,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20452,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | v112(constB143) | (~v113(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20451, 20450])).
% 83.31/52.94 tff(20453,plain,
% 83.31/52.94 (v26(constB143) | v112(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20452, 256, 20446])).
% 83.31/52.94 tff(20454,plain,
% 83.31/52.94 (v112(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20453, 20037])).
% 83.31/52.94 tff(20455,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20456,plain,
% 83.31/52.94 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20457,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20456])).
% 83.31/52.94 tff(20458,plain,
% 83.31/52.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20457, 20455])).
% 83.31/52.94 tff(20459,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20460,plain,
% 83.31/52.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 83.31/52.94 tff(20461,plain,
% 83.31/52.94 (v108(constB143)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20460, 268, 20454])).
% 83.31/52.94 tff(20462,plain,
% 83.31/52.94 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20463,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 83.31/52.94 tff(20464,plain,
% 83.31/52.94 (nextState(constB143, constB144)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20463, 20462])).
% 83.31/52.94 tff(20465,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20466,plain,
% 83.31/52.94 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20467,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20466])).
% 83.31/52.94 tff(20468,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20467, 20465])).
% 83.31/52.94 tff(20469,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20470,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 83.31/52.94 tff(20471,plain,
% 83.31/52.94 (v110(constB144) | (~v108(constB143))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20470, 288, 20464])).
% 83.31/52.94 tff(20472,plain,
% 83.31/52.94 (v110(constB144)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20471, 20461])).
% 83.31/52.94 tff(20473,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20474,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20475,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 83.31/52.94 tff(20476,plain,
% 83.31/52.94 (~v104(constB144)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20475, 306, 20464, 20342])).
% 83.31/52.94 tff(20477,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20478,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20479,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 83.31/52.94 tff(20480,plain,
% 83.31/52.94 (v102(constB144) | v104(constB144)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20479, 320, 20464])).
% 83.31/52.94 tff(20481,plain,
% 83.31/52.94 (v102(constB144)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20480, 20476])).
% 83.31/52.94 tff(20482,plain,
% 83.31/52.94 (v1(constB144) <=> v1(constB144)),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20483,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 83.31/52.94 tff(20484,plain,
% 83.31/52.94 (v1(constB144)),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20483, 20482])).
% 83.31/52.94 tff(20485,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20486,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20487,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20486, 20485])).
% 83.31/52.94 tff(20488,plain,
% 83.31/52.94 (v101(constB144) | (~v102(constB144))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20487, 338, 20464, 20484])).
% 83.31/52.94 tff(20489,plain,
% 83.31/52.94 (v101(constB144)),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20488, 20481])).
% 83.31/52.94 tff(20490,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20491,plain,
% 83.31/52.94 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 83.31/52.94 inference(rewrite,[status(thm)],[])).
% 83.31/52.94 tff(20492,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 83.31/52.94 inference(monotonicity,[status(thm)],[20491])).
% 83.31/52.94 tff(20493,plain,
% 83.31/52.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 83.31/52.94 inference(transitivity,[status(thm)],[20492, 20490])).
% 83.31/52.94 tff(20494,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 83.31/52.94 inference(quant_inst,[status(thm)],[])).
% 83.31/52.94 tff(20495,plain,
% 83.31/52.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 83.31/52.94 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 83.31/52.94 tff(20496,plain,
% 83.31/52.94 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20495, 353, 20464])).
% 83.31/52.94 tff(20497,plain,
% 83.31/52.94 (v100(constB144) | (~v110(constB144))),
% 83.31/52.94 inference(unit_resolution,[status(thm)],[20496, 20489])).
% 83.31/52.95 tff(20498,plain,
% 83.31/52.95 (v100(constB144)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20497, 20472])).
% 83.31/52.95 tff(20499,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20500,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20501,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 83.31/52.95 tff(20502,plain,
% 83.31/52.95 (v130(constB143, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20501, 1716, 20435])).
% 83.31/52.95 tff(20503,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20504,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20505,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20504, 20503])).
% 83.31/52.95 tff(20506,plain,
% 83.31/52.95 (v26(constB143) | v127(constB143, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20505, 1212, 20502])).
% 83.31/52.95 tff(20507,plain,
% 83.31/52.95 (v127(constB143, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20506, 20037])).
% 83.31/52.95 tff(20508,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20509,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20510,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 83.31/52.95 tff(20511,plain,
% 83.31/52.95 ((~v127(constB143, 2)) | v129(constB144, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20510, 1230, 20464])).
% 83.31/52.95 tff(20512,plain,
% 83.31/52.95 (v129(constB144, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20511, 20507])).
% 83.31/52.95 tff(20513,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20514,plain,
% 83.31/52.95 ((v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2))) <=> (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20515,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20514])).
% 83.31/52.95 tff(20516,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20515, 20513])).
% 83.31/52.95 tff(20517,plain,
% 83.31/52.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20518,plain,
% 83.31/52.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 83.31/52.95 tff(20519,plain,
% 83.31/52.95 (v90(constB144, 2) | (~v100(constB144))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20518, 1338, 20512])).
% 83.31/52.95 tff(20520,plain,
% 83.31/52.95 (v90(constB144, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20519, 20498])).
% 83.31/52.95 tff(20521,plain,
% 83.31/52.95 ((~v1(constB145)) <=> (~v1(constB145))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20522,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 83.31/52.95 tff(20523,plain,
% 83.31/52.95 (~v1(constB145)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20522, 20521])).
% 83.31/52.95 tff(20524,plain,
% 83.31/52.95 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20525,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 83.31/52.95 tff(20526,plain,
% 83.31/52.95 (nextState(constB144, constB145)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 83.31/52.95 tff(20527,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20528,plain,
% 83.31/52.95 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20529,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20528])).
% 83.31/52.95 tff(20530,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20529, 20527])).
% 83.31/52.95 tff(20531,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20532,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 83.31/52.95 tff(20533,plain,
% 83.31/52.95 (~v101(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20532, 66, 20526, 20523])).
% 83.31/52.95 tff(20534,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20535,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20536,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20535, 20534])).
% 83.31/52.95 tff(20537,plain,
% 83.31/52.95 (v101(constB145) | (~v100(constB145))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20536, 83, 20526])).
% 83.31/52.95 tff(20538,plain,
% 83.31/52.95 (~v100(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20537, 20533])).
% 83.31/52.95 tff(20539,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20540,plain,
% 83.31/52.95 (((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)) <=> ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20541,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20540])).
% 83.31/52.95 tff(20542,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20541, 20539])).
% 83.31/52.95 tff(20543,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20544,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 83.31/52.95 tff(20545,plain,
% 83.31/52.95 ((~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20544, 1374, 20526])).
% 83.31/52.95 tff(20546,plain,
% 83.31/52.95 ((~v90(constB144, 2)) | v90(constB145, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20545, 20538])).
% 83.31/52.95 tff(20547,plain,
% 83.31/52.95 (v90(constB145, 2)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20546, 20520])).
% 83.31/52.95 tff(20548,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20549,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20550,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20549, 20548])).
% 83.31/52.95 tff(20551,plain,
% 83.31/52.95 (v130(constB143, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20550, 1767, 20435])).
% 83.31/52.95 tff(20552,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20553,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20554,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20553, 20552])).
% 83.31/52.95 tff(20555,plain,
% 83.31/52.95 (v26(constB143) | v127(constB143, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20554, 818, 20551])).
% 83.31/52.95 tff(20556,plain,
% 83.31/52.95 (v127(constB143, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20555, 20037])).
% 83.31/52.95 tff(20557,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20558,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20559,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 83.31/52.95 tff(20560,plain,
% 83.31/52.95 ((~v127(constB143, 1)) | v129(constB144, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20559, 833, 20464])).
% 83.31/52.95 tff(20561,plain,
% 83.31/52.95 (v129(constB144, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20560, 20556])).
% 83.31/52.95 tff(20562,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20563,plain,
% 83.31/52.95 ((v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1))) <=> (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20564,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20563])).
% 83.31/52.95 tff(20565,plain,
% 83.31/52.95 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20564, 20562])).
% 83.31/52.95 tff(20566,plain,
% 83.31/52.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20567,plain,
% 83.31/52.95 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 83.31/52.95 tff(20568,plain,
% 83.31/52.95 (v90(constB144, 1) | (~v100(constB144))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20567, 848, 20561])).
% 83.31/52.95 tff(20569,plain,
% 83.31/52.95 (v90(constB144, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20568, 20498])).
% 83.31/52.95 tff(20570,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20571,plain,
% 83.31/52.95 (((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)) <=> ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20572,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20571])).
% 83.31/52.95 tff(20573,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20572, 20570])).
% 83.31/52.95 tff(20574,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20575,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 83.31/52.95 tff(20576,plain,
% 83.31/52.95 ((~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20575, 866, 20526])).
% 83.31/52.95 tff(20577,plain,
% 83.31/52.95 ((~v90(constB144, 1)) | v90(constB145, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20576, 20538])).
% 83.31/52.95 tff(20578,plain,
% 83.31/52.95 (v90(constB145, 1)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20577, 20569])).
% 83.31/52.95 tff(20579,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20580,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20581,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20580, 20579])).
% 83.31/52.95 tff(20582,plain,
% 83.31/52.95 (~v130(constB143, 0)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20581, 1882, 20435])).
% 83.31/52.95 tff(20583,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20584,plain,
% 83.31/52.95 ((v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0))) <=> ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20585,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20584])).
% 83.31/52.95 tff(20586,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20585, 20583])).
% 83.31/52.95 tff(20587,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20588,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 83.31/52.95 tff(20589,plain,
% 83.31/52.95 ((~v127(constB143, 0)) | v26(constB143)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20588, 896, 20582])).
% 83.31/52.95 tff(20590,plain,
% 83.31/52.95 (~v127(constB143, 0)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20589, 20037])).
% 83.31/52.95 tff(20591,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20592,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20593,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20592, 20591])).
% 83.31/52.95 tff(20594,plain,
% 83.31/52.95 (v127(constB143, 0) | (~v129(constB144, 0))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20593, 914, 20464])).
% 83.31/52.95 tff(20595,plain,
% 83.31/52.95 (~v129(constB144, 0)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20594, 20590])).
% 83.31/52.95 tff(20596,plain,
% 83.31/52.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20597,plain,
% 83.31/52.95 (((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0)) <=> ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20598,plain,
% 83.31/52.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20597])).
% 83.31/52.95 tff(20599,plain,
% 83.31/52.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20598, 20596])).
% 83.31/52.95 tff(20600,plain,
% 83.31/52.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20601,plain,
% 83.31/52.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 83.31/52.95 tff(20602,plain,
% 83.31/52.95 ((~v90(constB144, 0)) | (~v100(constB144))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20601, 929, 20595])).
% 83.31/52.95 tff(20603,plain,
% 83.31/52.95 (~v90(constB144, 0)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20602, 20498])).
% 83.31/52.95 tff(20604,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20605,plain,
% 83.31/52.95 (((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))) <=> (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20606,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20605])).
% 83.31/52.95 tff(20607,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20606, 20604])).
% 83.31/52.95 tff(20608,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20609,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20608, 20607])).
% 83.31/52.95 tff(20610,plain,
% 83.31/52.95 (v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20609, 140, 20526])).
% 83.31/52.95 tff(20611,plain,
% 83.31/52.95 (v90(constB144, 0) | (~v90(constB145, 0))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20610, 20538])).
% 83.31/52.95 tff(20612,plain,
% 83.31/52.95 (~v90(constB145, 0)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20611, 20603])).
% 83.31/52.95 tff(20613,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20614,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20615,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 83.31/52.95 tff(20616,plain,
% 83.31/52.95 (v125(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20615, 1934, 20612, 20578, 20547])).
% 83.31/52.95 tff(20617,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20618,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20619,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20618, 20617])).
% 83.31/52.95 tff(20620,plain,
% 83.31/52.95 (v113(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20619, 1946, 20616])).
% 83.31/52.95 tff(20621,assumption,(v26(constB145)), introduced(assumption)).
% 83.31/52.95 tff(20622,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20623,plain,
% 83.31/52.95 ($false),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20622, 19, 20621])).
% 83.31/52.95 tff(20624,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.95 tff(20625,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20626,plain,
% 83.31/52.95 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20627,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | v112(constB145) | (~v113(constB145))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20626])).
% 83.31/52.95 tff(20628,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20627, 20625])).
% 83.31/52.95 tff(20629,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20630,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 83.31/52.95 tff(20631,plain,
% 83.31/52.95 (v112(constB145) | (~v113(constB145))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20630, 256, 20624])).
% 83.31/52.95 tff(20632,plain,
% 83.31/52.95 (v112(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20631, 20620])).
% 83.31/52.95 tff(20633,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20634,plain,
% 83.31/52.95 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20635,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20634])).
% 83.31/52.95 tff(20636,plain,
% 83.31/52.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20635, 20633])).
% 83.31/52.95 tff(20637,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20638,plain,
% 83.31/52.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 83.31/52.95 tff(20639,plain,
% 83.31/52.95 (v108(constB145)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20638, 268, 20632])).
% 83.31/52.95 tff(20640,plain,
% 83.31/52.95 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20641,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 83.31/52.95 tff(20642,plain,
% 83.31/52.95 (nextState(constB145, constB146)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 83.31/52.95 tff(20643,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20644,plain,
% 83.31/52.95 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20645,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 83.31/52.95 inference(monotonicity,[status(thm)],[20644])).
% 83.31/52.95 tff(20646,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 83.31/52.95 inference(transitivity,[status(thm)],[20645, 20643])).
% 83.31/52.95 tff(20647,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20648,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20647, 20646])).
% 83.31/52.95 tff(20649,plain,
% 83.31/52.95 (v110(constB146) | (~v108(constB145))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20648, 288, 20642])).
% 83.31/52.95 tff(20650,plain,
% 83.31/52.95 (v110(constB146)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20649, 20639])).
% 83.31/52.95 tff(20651,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20652,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20653,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20652, 20651])).
% 83.31/52.95 tff(20654,plain,
% 83.31/52.95 (~v104(constB146)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20653, 306, 20642, 20523])).
% 83.31/52.95 tff(20655,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20656,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20657,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20656, 20655])).
% 83.31/52.95 tff(20658,plain,
% 83.31/52.95 (v102(constB146) | v104(constB146)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20657, 320, 20642])).
% 83.31/52.95 tff(20659,plain,
% 83.31/52.95 (v102(constB146)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20658, 20654])).
% 83.31/52.95 tff(20660,plain,
% 83.31/52.95 (v1(constB146) <=> v1(constB146)),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20661,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 83.31/52.95 tff(20662,plain,
% 83.31/52.95 (v1(constB146)),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20661, 20660])).
% 83.31/52.95 tff(20663,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20664,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 83.31/52.95 inference(quant_inst,[status(thm)],[])).
% 83.31/52.95 tff(20665,plain,
% 83.31/52.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 83.31/52.95 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 83.31/52.95 tff(20666,plain,
% 83.31/52.95 (v101(constB146) | (~v102(constB146))),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20665, 338, 20642, 20662])).
% 83.31/52.95 tff(20667,plain,
% 83.31/52.95 (v101(constB146)),
% 83.31/52.95 inference(unit_resolution,[status(thm)],[20666, 20659])).
% 83.31/52.95 tff(20668,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20669,plain,
% 83.31/52.95 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 83.31/52.95 inference(rewrite,[status(thm)],[])).
% 83.31/52.95 tff(20670,plain,
% 83.31/52.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20669])).
% 83.31/52.96 tff(20671,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20670, 20668])).
% 83.31/52.96 tff(20672,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20673,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20672, 20671])).
% 83.31/52.96 tff(20674,plain,
% 83.31/52.96 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20673, 353, 20642])).
% 83.31/52.96 tff(20675,plain,
% 83.31/52.96 (v100(constB146) | (~v110(constB146))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20674, 20667])).
% 83.31/52.96 tff(20676,plain,
% 83.31/52.96 (v100(constB146)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20675, 20650])).
% 83.31/52.96 tff(20677,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20678,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20679,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 83.31/52.96 tff(20680,plain,
% 83.31/52.96 (~v121(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20679, 2017, 20547])).
% 83.31/52.96 tff(20681,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20682,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20683,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20682, 20681])).
% 83.31/52.96 tff(20684,plain,
% 83.31/52.96 (~v122(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20683, 2006, 20547])).
% 83.31/52.96 tff(20685,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20686,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20687,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 83.31/52.96 tff(20688,plain,
% 83.31/52.96 (~v119(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20687, 2028, 20578])).
% 83.31/52.96 tff(20689,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20690,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20691,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20690, 20689])).
% 83.31/52.96 tff(20692,plain,
% 83.31/52.96 (~v120(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20691, 2039, 20578])).
% 83.31/52.96 tff(20693,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20694,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20695,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 83.31/52.96 tff(20696,plain,
% 83.31/52.96 (~v123(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20695, 2050, 20578])).
% 83.31/52.96 tff(20697,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20698,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20699,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20698, 20697])).
% 83.31/52.96 tff(20700,plain,
% 83.31/52.96 (~v124(constB145)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20699, 2061, 20578])).
% 83.31/52.96 tff(20701,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20702,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20703,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20702, 20701])).
% 83.31/52.96 tff(20704,plain,
% 83.31/52.96 (~v130(constB145, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20703, 2075, 20700, 20696, 20692, 20688, 20684, 20680])).
% 83.31/52.96 tff(20705,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20706,plain,
% 83.31/52.96 ((v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2))) <=> ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20707,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20706])).
% 83.31/52.96 tff(20708,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20707, 20705])).
% 83.31/52.96 tff(20709,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20710,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 83.31/52.96 tff(20711,plain,
% 83.31/52.96 ((~v127(constB145, 2)) | v130(constB145, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20710, 556, 20624])).
% 83.31/52.96 tff(20712,plain,
% 83.31/52.96 (~v127(constB145, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20711, 20704])).
% 83.31/52.96 tff(20713,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20714,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20715,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20714, 20713])).
% 83.31/52.96 tff(20716,plain,
% 83.31/52.96 (v127(constB145, 2) | (~v129(constB146, 2))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20715, 574, 20642])).
% 83.31/52.96 tff(20717,plain,
% 83.31/52.96 (~v129(constB146, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20716, 20712])).
% 83.31/52.96 tff(20718,plain,
% 83.31/52.96 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20719,plain,
% 83.31/52.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20720,plain,
% 83.31/52.96 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 83.31/52.96 tff(20721,plain,
% 83.31/52.96 ((~v90(constB146, 2)) | (~v100(constB146))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20720, 589, 20717])).
% 83.31/52.96 tff(20722,plain,
% 83.31/52.96 (~v90(constB146, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20721, 20676])).
% 83.31/52.96 tff(20723,plain,
% 83.31/52.96 ((~v1(constB147)) <=> (~v1(constB147))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20724,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 83.31/52.96 tff(20725,plain,
% 83.31/52.96 (~v1(constB147)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20724, 20723])).
% 83.31/52.96 tff(20726,plain,
% 83.31/52.96 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20727,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 83.31/52.96 tff(20728,plain,
% 83.31/52.96 (nextState(constB146, constB147)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20727, 20726])).
% 83.31/52.96 tff(20729,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20730,plain,
% 83.31/52.96 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20731,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20730])).
% 83.31/52.96 tff(20732,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20731, 20729])).
% 83.31/52.96 tff(20733,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20734,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20733, 20732])).
% 83.31/52.96 tff(20735,plain,
% 83.31/52.96 (~v101(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20734, 66, 20728, 20725])).
% 83.31/52.96 tff(20736,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20737,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20738,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 83.31/52.96 tff(20739,plain,
% 83.31/52.96 (v101(constB147) | (~v100(constB147))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20738, 83, 20728])).
% 83.31/52.96 tff(20740,plain,
% 83.31/52.96 (~v100(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20739, 20735])).
% 83.31/52.96 tff(20741,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20742,plain,
% 83.31/52.96 (((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))) <=> (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20743,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20742])).
% 83.31/52.96 tff(20744,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20743, 20741])).
% 83.31/52.96 tff(20745,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20746,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20745, 20744])).
% 83.31/52.96 tff(20747,plain,
% 83.31/52.96 (v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20746, 98, 20728])).
% 83.31/52.96 tff(20748,plain,
% 83.31/52.96 (v90(constB146, 2) | (~v90(constB147, 2))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20747, 20740])).
% 83.31/52.96 tff(20749,plain,
% 83.31/52.96 (~v90(constB147, 2)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20748, 20722])).
% 83.31/52.96 tff(20750,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20751,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20752,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20751, 20750])).
% 83.31/52.96 tff(20753,plain,
% 83.31/52.96 (~v130(constB145, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20752, 2135, 20700, 20696, 20692, 20688, 20684, 20680])).
% 83.31/52.96 tff(20754,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20755,plain,
% 83.31/52.96 ((v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1))) <=> ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20756,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20755])).
% 83.31/52.96 tff(20757,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20756, 20754])).
% 83.31/52.96 tff(20758,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20759,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20758, 20757])).
% 83.31/52.96 tff(20760,plain,
% 83.31/52.96 ((~v127(constB145, 1)) | v130(constB145, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20759, 383, 20624])).
% 83.31/52.96 tff(20761,plain,
% 83.31/52.96 (~v127(constB145, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20760, 20753])).
% 83.31/52.96 tff(20762,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20763,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20764,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20763, 20762])).
% 83.31/52.96 tff(20765,plain,
% 83.31/52.96 (v127(constB145, 1) | (~v129(constB146, 1))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20764, 401, 20642])).
% 83.31/52.96 tff(20766,plain,
% 83.31/52.96 (~v129(constB146, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20765, 20761])).
% 83.31/52.96 tff(20767,plain,
% 83.31/52.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20768,plain,
% 83.31/52.96 (((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1)) <=> ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20769,plain,
% 83.31/52.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20768])).
% 83.31/52.96 tff(20770,plain,
% 83.31/52.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20769, 20767])).
% 83.31/52.96 tff(20771,plain,
% 83.31/52.96 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20772,plain,
% 83.31/52.96 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 83.31/52.96 tff(20773,plain,
% 83.31/52.96 ((~v90(constB146, 1)) | (~v100(constB146))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20772, 416, 20766])).
% 83.31/52.96 tff(20774,plain,
% 83.31/52.96 (~v90(constB146, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20773, 20676])).
% 83.31/52.96 tff(20775,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20776,plain,
% 83.31/52.96 (((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))) <=> (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20777,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20776])).
% 83.31/52.96 tff(20778,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20777, 20775])).
% 83.31/52.96 tff(20779,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20780,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 83.31/52.96 tff(20781,plain,
% 83.31/52.96 (v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20780, 119, 20728])).
% 83.31/52.96 tff(20782,plain,
% 83.31/52.96 (v90(constB146, 1) | (~v90(constB147, 1))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20781, 20740])).
% 83.31/52.96 tff(20783,plain,
% 83.31/52.96 (~v90(constB147, 1)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20782, 20774])).
% 83.31/52.96 tff(20784,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20785,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20786,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 83.31/52.96 tff(20787,plain,
% 83.31/52.96 (v130(constB145, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20786, 2180, 20700, 20696, 20692, 20688, 20684, 20680])).
% 83.31/52.96 tff(20788,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20789,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20790,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 83.31/52.96 tff(20791,plain,
% 83.31/52.96 ((~v130(constB145, 0)) | v127(constB145, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20790, 478, 20624])).
% 83.31/52.96 tff(20792,plain,
% 83.31/52.96 (v127(constB145, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20791, 20787])).
% 83.31/52.96 tff(20793,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20794,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20795,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20794, 20793])).
% 83.31/52.96 tff(20796,plain,
% 83.31/52.96 ((~v127(constB145, 0)) | v129(constB146, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20795, 493, 20642])).
% 83.31/52.96 tff(20797,plain,
% 83.31/52.96 (v129(constB146, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20796, 20792])).
% 83.31/52.96 tff(20798,plain,
% 83.31/52.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20799,plain,
% 83.31/52.96 ((v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0))) <=> (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20800,plain,
% 83.31/52.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20799])).
% 83.31/52.96 tff(20801,plain,
% 83.31/52.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20800, 20798])).
% 83.31/52.96 tff(20802,plain,
% 83.31/52.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20803,plain,
% 83.31/52.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20802, 20801])).
% 83.31/52.96 tff(20804,plain,
% 83.31/52.96 (v90(constB146, 0) | (~v100(constB146))),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20803, 508, 20797])).
% 83.31/52.96 tff(20805,plain,
% 83.31/52.96 (v90(constB146, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20804, 20676])).
% 83.31/52.96 tff(20806,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20807,plain,
% 83.31/52.96 (((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)) <=> ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20808,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20807])).
% 83.31/52.96 tff(20809,plain,
% 83.31/52.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20808, 20806])).
% 83.31/52.96 tff(20810,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20811,plain,
% 83.31/52.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 83.31/52.96 tff(20812,plain,
% 83.31/52.96 ((~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20811, 526, 20728])).
% 83.31/52.96 tff(20813,plain,
% 83.31/52.96 ((~v90(constB146, 0)) | v90(constB147, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20812, 20740])).
% 83.31/52.96 tff(20814,plain,
% 83.31/52.96 (v90(constB147, 0)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20813, 20805])).
% 83.31/52.96 tff(20815,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20816,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20817,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20816, 20815])).
% 83.31/52.96 tff(20818,plain,
% 83.31/52.96 (v120(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20817, 614, 20814, 20783, 20749])).
% 83.31/52.96 tff(20819,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20820,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20821,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147)),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20820, 20819])).
% 83.31/52.96 tff(20822,plain,
% 83.31/52.96 (v118(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20821, 628, 20818])).
% 83.31/52.96 tff(20823,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20824,plain,
% 83.31/52.96 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20825,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20824])).
% 83.31/52.96 tff(20826,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20825, 20823])).
% 83.31/52.96 tff(20827,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20828,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20827, 20826])).
% 83.31/52.96 tff(20829,plain,
% 83.31/52.96 (v117(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20828, 186, 20822])).
% 83.31/52.96 tff(20830,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20831,plain,
% 83.31/52.96 (((~v117(constB147)) | v116(constB147)) <=> (v116(constB147) | (~v117(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20832,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB147) | (~v117(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20831])).
% 83.31/52.96 tff(20833,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20832, 20830])).
% 83.31/52.96 tff(20834,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20835,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB147) | (~v117(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 83.31/52.96 tff(20836,plain,
% 83.31/52.96 (v116(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20835, 200, 20829])).
% 83.31/52.96 tff(20837,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20838,plain,
% 83.31/52.96 (((~v116(constB147)) | v115(constB147)) <=> (v115(constB147) | (~v116(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20839,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20838])).
% 83.31/52.96 tff(20840,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20839, 20837])).
% 83.31/52.96 tff(20841,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20842,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 83.31/52.96 tff(20843,plain,
% 83.31/52.96 (v115(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20842, 214, 20836])).
% 83.31/52.96 tff(20844,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20845,plain,
% 83.31/52.96 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20846,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20845])).
% 83.31/52.96 tff(20847,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20846, 20844])).
% 83.31/52.96 tff(20848,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 83.31/52.96 inference(quant_inst,[status(thm)],[])).
% 83.31/52.96 tff(20849,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 83.31/52.96 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 83.31/52.96 tff(20850,plain,
% 83.31/52.96 (v114(constB147)),
% 83.31/52.96 inference(unit_resolution,[status(thm)],[20849, 228, 20843])).
% 83.31/52.96 tff(20851,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20852,plain,
% 83.31/52.96 (((~v114(constB147)) | v113(constB147)) <=> (v113(constB147) | (~v114(constB147)))),
% 83.31/52.96 inference(rewrite,[status(thm)],[])).
% 83.31/52.96 tff(20853,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147))))),
% 83.31/52.96 inference(monotonicity,[status(thm)],[20852])).
% 83.31/52.96 tff(20854,plain,
% 83.31/52.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 83.31/52.96 inference(transitivity,[status(thm)],[20853, 20851])).
% 83.31/52.96 tff(20855,plain,
% 83.31/52.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20856,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20855, 20854])).
% 83.31/52.97 tff(20857,plain,
% 83.31/52.97 (v113(constB147)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20856, 242, 20850])).
% 83.31/52.97 tff(20858,assumption,(v26(constB147)), introduced(assumption)).
% 83.31/52.97 tff(20859,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20860,plain,
% 83.31/52.97 ($false),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20859, 19, 20858])).
% 83.31/52.97 tff(20861,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 83.31/52.97 tff(20862,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20863,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20864,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 83.31/52.97 tff(20865,plain,
% 83.31/52.97 ((~v113(constB147)) | v112(constB147)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20864, 256, 20861])).
% 83.31/52.97 tff(20866,plain,
% 83.31/52.97 (v112(constB147)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20865, 20857])).
% 83.31/52.97 tff(20867,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20868,plain,
% 83.31/52.97 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20869,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20868])).
% 83.31/52.97 tff(20870,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20869, 20867])).
% 83.31/52.97 tff(20871,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20872,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 83.31/52.97 tff(20873,plain,
% 83.31/52.97 (v108(constB147)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20872, 268, 20866])).
% 83.31/52.97 tff(20874,plain,
% 83.31/52.97 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20875,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 83.31/52.97 tff(20876,plain,
% 83.31/52.97 (nextState(constB147, constB148)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20875, 20874])).
% 83.31/52.97 tff(20877,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20878,plain,
% 83.31/52.97 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20879,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20878])).
% 83.31/52.97 tff(20880,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20879, 20877])).
% 83.31/52.97 tff(20881,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20882,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 83.31/52.97 tff(20883,plain,
% 83.31/52.97 (v110(constB148) | (~v108(constB147))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20882, 288, 20876])).
% 83.31/52.97 tff(20884,plain,
% 83.31/52.97 (v110(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20883, 20873])).
% 83.31/52.97 tff(20885,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20886,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20887,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20886, 20885])).
% 83.31/52.97 tff(20888,plain,
% 83.31/52.97 (~v104(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20887, 306, 20876, 20725])).
% 83.31/52.97 tff(20889,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20890,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20891,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20890, 20889])).
% 83.31/52.97 tff(20892,plain,
% 83.31/52.97 (v102(constB148) | v104(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20891, 320, 20876])).
% 83.31/52.97 tff(20893,plain,
% 83.31/52.97 (v102(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20892, 20888])).
% 83.31/52.97 tff(20894,plain,
% 83.31/52.97 (v1(constB148) <=> v1(constB148)),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20895,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 83.31/52.97 tff(20896,plain,
% 83.31/52.97 (v1(constB148)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20895, 20894])).
% 83.31/52.97 tff(20897,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20898,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20899,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20898, 20897])).
% 83.31/52.97 tff(20900,plain,
% 83.31/52.97 (v101(constB148) | (~v102(constB148))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20899, 338, 20876, 20896])).
% 83.31/52.97 tff(20901,plain,
% 83.31/52.97 (v101(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20900, 20893])).
% 83.31/52.97 tff(20902,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20903,plain,
% 83.31/52.97 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20904,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20903])).
% 83.31/52.97 tff(20905,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20904, 20902])).
% 83.31/52.97 tff(20906,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20907,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20906, 20905])).
% 83.31/52.97 tff(20908,plain,
% 83.31/52.97 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20907, 353, 20876])).
% 83.31/52.97 tff(20909,plain,
% 83.31/52.97 (v100(constB148) | (~v110(constB148))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20908, 20901])).
% 83.31/52.97 tff(20910,plain,
% 83.31/52.97 (v100(constB148)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20909, 20884])).
% 83.31/52.97 tff(20911,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20912,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20913,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20912, 20911])).
% 83.31/52.97 tff(20914,plain,
% 83.31/52.97 (~v130(constB147, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20913, 744, 20818])).
% 83.31/52.97 tff(20915,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20916,plain,
% 83.31/52.97 ((v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2))) <=> ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20917,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20916])).
% 83.31/52.97 tff(20918,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20917, 20915])).
% 83.31/52.97 tff(20919,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20920,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 83.31/52.97 tff(20921,plain,
% 83.31/52.97 ((~v127(constB147, 2)) | v130(constB147, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20920, 556, 20861])).
% 83.31/52.97 tff(20922,plain,
% 83.31/52.97 (~v127(constB147, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20921, 20914])).
% 83.31/52.97 tff(20923,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20924,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20925,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 83.31/52.97 tff(20926,plain,
% 83.31/52.97 (v127(constB147, 2) | (~v129(constB148, 2))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20925, 574, 20876])).
% 83.31/52.97 tff(20927,plain,
% 83.31/52.97 (~v129(constB148, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20926, 20922])).
% 83.31/52.97 tff(20928,plain,
% 83.31/52.97 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20929,plain,
% 83.31/52.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20930,plain,
% 83.31/52.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 83.31/52.97 tff(20931,plain,
% 83.31/52.97 ((~v90(constB148, 2)) | (~v100(constB148))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20930, 589, 20927])).
% 83.31/52.97 tff(20932,plain,
% 83.31/52.97 (~v90(constB148, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20931, 20910])).
% 83.31/52.97 tff(20933,plain,
% 83.31/52.97 ((~v1(constB149)) <=> (~v1(constB149))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20934,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 83.31/52.97 tff(20935,plain,
% 83.31/52.97 (~v1(constB149)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 83.31/52.97 tff(20936,plain,
% 83.31/52.97 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20937,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 83.31/52.97 tff(20938,plain,
% 83.31/52.97 (nextState(constB148, constB149)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 83.31/52.97 tff(20939,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20940,plain,
% 83.31/52.97 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20941,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20940])).
% 83.31/52.97 tff(20942,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20941, 20939])).
% 83.31/52.97 tff(20943,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20944,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 83.31/52.97 tff(20945,plain,
% 83.31/52.97 (~v101(constB149)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20944, 66, 20938, 20935])).
% 83.31/52.97 tff(20946,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20947,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20948,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 83.31/52.97 tff(20949,plain,
% 83.31/52.97 (v101(constB149) | (~v100(constB149))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20948, 83, 20938])).
% 83.31/52.97 tff(20950,plain,
% 83.31/52.97 (~v100(constB149)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20949, 20945])).
% 83.31/52.97 tff(20951,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20952,plain,
% 83.31/52.97 (((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))) <=> (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20953,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20952])).
% 83.31/52.97 tff(20954,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20953, 20951])).
% 83.31/52.97 tff(20955,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20956,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20955, 20954])).
% 83.31/52.97 tff(20957,plain,
% 83.31/52.97 (v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20956, 98, 20938])).
% 83.31/52.97 tff(20958,plain,
% 83.31/52.97 (v90(constB148, 2) | (~v90(constB149, 2))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20957, 20950])).
% 83.31/52.97 tff(20959,plain,
% 83.31/52.97 (~v90(constB149, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20958, 20932])).
% 83.31/52.97 tff(20960,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20961,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20962,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20961, 20960])).
% 83.31/52.97 tff(20963,plain,
% 83.31/52.97 (~v88(constB149, 2)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20962, 3360, 20959])).
% 83.31/52.97 tff(20964,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20965,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20966,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20965, 20964])).
% 83.31/52.97 tff(20967,plain,
% 83.31/52.97 (~v130(constB147, 0)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20966, 882, 20818])).
% 83.31/52.97 tff(20968,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20969,plain,
% 83.31/52.97 ((v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0))) <=> ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20970,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20969])).
% 83.31/52.97 tff(20971,plain,
% 83.31/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20970, 20968])).
% 83.31/52.97 tff(20972,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20973,plain,
% 83.31/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 83.31/52.97 tff(20974,plain,
% 83.31/52.97 ((~v127(constB147, 0)) | v130(constB147, 0)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20973, 896, 20861])).
% 83.31/52.97 tff(20975,plain,
% 83.31/52.97 (~v127(constB147, 0)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20974, 20967])).
% 83.31/52.97 tff(20976,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20977,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20978,plain,
% 83.31/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 83.31/52.97 tff(20979,plain,
% 83.31/52.97 (v127(constB147, 0) | (~v129(constB148, 0))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20978, 914, 20876])).
% 83.31/52.97 tff(20980,plain,
% 83.31/52.97 (~v129(constB148, 0)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20979, 20975])).
% 83.31/52.97 tff(20981,plain,
% 83.31/52.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20982,plain,
% 83.31/52.97 (((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0)) <=> ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20983,plain,
% 83.31/52.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))))),
% 83.31/52.97 inference(monotonicity,[status(thm)],[20982])).
% 83.31/52.97 tff(20984,plain,
% 83.31/52.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 83.31/52.97 inference(transitivity,[status(thm)],[20983, 20981])).
% 83.31/52.97 tff(20985,plain,
% 83.31/52.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))),
% 83.31/52.97 inference(quant_inst,[status(thm)],[])).
% 83.31/52.97 tff(20986,plain,
% 83.31/52.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))),
% 83.31/52.97 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 83.31/52.97 tff(20987,plain,
% 83.31/52.97 ((~v90(constB148, 0)) | (~v100(constB148))),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20986, 929, 20980])).
% 83.31/52.97 tff(20988,plain,
% 83.31/52.97 (~v90(constB148, 0)),
% 83.31/52.97 inference(unit_resolution,[status(thm)],[20987, 20910])).
% 83.31/52.97 tff(20989,plain,
% 83.31/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 83.31/52.97 inference(rewrite,[status(thm)],[])).
% 83.31/52.97 tff(20990,plain,
% 83.31/52.97 (((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))) <=> (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(20991,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))))),
% 83.40/52.97 inference(monotonicity,[status(thm)],[20990])).
% 83.40/52.97 tff(20992,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 83.40/52.97 inference(transitivity,[status(thm)],[20991, 20989])).
% 83.40/52.97 tff(20993,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(20994,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[20993, 20992])).
% 83.40/52.97 tff(20995,plain,
% 83.40/52.97 (v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[20994, 140, 20938])).
% 83.40/52.97 tff(20996,plain,
% 83.40/52.97 (v90(constB148, 0) | (~v90(constB149, 0))),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[20995, 20950])).
% 83.40/52.97 tff(20997,plain,
% 83.40/52.97 (~v90(constB149, 0)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[20996, 20988])).
% 83.40/52.97 tff(20998,plain,
% 83.40/52.97 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(20999,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21000,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0)),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 83.40/52.97 tff(21001,plain,
% 83.40/52.97 (~v88(constB149, 0)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21000, 3705, 20997])).
% 83.40/52.97 tff(21002,plain,
% 83.40/52.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21003,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21004,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1)),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 83.40/52.97 tff(21005,plain,
% 83.40/52.97 (v130(constB147, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21004, 804, 20818])).
% 83.40/52.97 tff(21006,plain,
% 83.40/52.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21007,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21008,plain,
% 83.40/52.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1)),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[21007, 21006])).
% 83.40/52.97 tff(21009,plain,
% 83.40/52.97 ((~v130(constB147, 1)) | v127(constB147, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21008, 818, 20861])).
% 83.40/52.97 tff(21010,plain,
% 83.40/52.97 (v127(constB147, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21009, 21005])).
% 83.40/52.97 tff(21011,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21012,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21013,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1)),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 83.40/52.97 tff(21014,plain,
% 83.40/52.97 ((~v127(constB147, 1)) | v129(constB148, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21013, 833, 20876])).
% 83.40/52.97 tff(21015,plain,
% 83.40/52.97 (v129(constB148, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21014, 21010])).
% 83.40/52.97 tff(21016,plain,
% 83.40/52.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21017,plain,
% 83.40/52.97 ((v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1))) <=> (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21018,plain,
% 83.40/52.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))))),
% 83.40/52.97 inference(monotonicity,[status(thm)],[21017])).
% 83.40/52.97 tff(21019,plain,
% 83.40/52.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 83.40/52.97 inference(transitivity,[status(thm)],[21018, 21016])).
% 83.40/52.97 tff(21020,plain,
% 83.40/52.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21021,plain,
% 83.40/52.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[21020, 21019])).
% 83.40/52.97 tff(21022,plain,
% 83.40/52.97 (v90(constB148, 1) | (~v100(constB148))),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21021, 848, 21015])).
% 83.40/52.97 tff(21023,plain,
% 83.40/52.97 (v90(constB148, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21022, 20910])).
% 83.40/52.97 tff(21024,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21025,plain,
% 83.40/52.97 (((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)) <=> ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 83.40/52.97 inference(rewrite,[status(thm)],[])).
% 83.40/52.97 tff(21026,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)))),
% 83.40/52.97 inference(monotonicity,[status(thm)],[21025])).
% 83.40/52.97 tff(21027,plain,
% 83.40/52.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 83.40/52.97 inference(transitivity,[status(thm)],[21026, 21024])).
% 83.40/52.97 tff(21028,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))),
% 83.40/52.97 inference(quant_inst,[status(thm)],[])).
% 83.40/52.97 tff(21029,plain,
% 83.40/52.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)),
% 83.40/52.97 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 83.40/52.97 tff(21030,plain,
% 83.40/52.97 ((~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21029, 866, 20938])).
% 83.40/52.97 tff(21031,plain,
% 83.40/52.97 ((~v90(constB148, 1)) | v90(constB149, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21030, 20950])).
% 83.40/52.97 tff(21032,plain,
% 83.40/52.97 (v90(constB149, 1)),
% 83.40/52.97 inference(unit_resolution,[status(thm)],[21031, 21023])).
% 83.40/52.97 tff(21033,plain,
% 83.40/52.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21034,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21035,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 83.40/52.98 tff(21036,plain,
% 83.40/52.98 (v88(constB149, 1)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21035, 3727, 21032])).
% 83.40/52.98 tff(21037,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21038,plain,
% 83.40/52.98 ((v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149)) <=> (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21039,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149)))),
% 83.40/52.98 inference(monotonicity,[status(thm)],[21038])).
% 83.40/52.98 tff(21040,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149))),
% 83.40/52.98 inference(transitivity,[status(thm)],[21039, 21037])).
% 83.40/52.98 tff(21041,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21042,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | v88(constB149, 2) | (~v88(constB149, 1)) | v143(constB149)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21041, 21040])).
% 83.40/52.98 tff(21043,plain,
% 83.40/52.98 (v143(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21042, 15886, 21036, 21001, 20963])).
% 83.40/52.98 tff(21044,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21045,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21046,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB149)) | v142(constB149)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21045, 21044])).
% 83.40/52.98 tff(21047,plain,
% 83.40/52.98 (v142(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21046, 15900, 21043])).
% 83.40/52.98 tff(21048,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB149)) | v148(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB149)) | v148(constB149))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21049,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB149)) | v148(constB149))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21050,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB149)) | v148(constB149)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 83.40/52.98 tff(21051,plain,
% 83.40/52.98 (v148(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21050, 15914, 21047])).
% 83.40/52.98 tff(21052,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB149)) | v227(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB149)) | v227(constB149))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21053,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB149)) | v227(constB149))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21054,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB149)) | v227(constB149)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21053, 21052])).
% 83.40/52.98 tff(21055,plain,
% 83.40/52.98 (v227(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21054, 3766, 21047])).
% 83.40/52.98 tff(21056,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB149) | (~v227(constB149)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB149) | (~v227(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21057,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB149) | (~v227(constB149)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21058,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB149) | (~v227(constB149))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21057, 21056])).
% 83.40/52.98 tff(21059,plain,
% 83.40/52.98 (v226(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21058, 3517, 21055])).
% 83.40/52.98 tff(21060,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB149) | (~v226(constB149)) | (~v148(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB149) | (~v226(constB149)) | (~v148(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21061,plain,
% 83.40/52.98 (((~v148(constB149)) | v86(constB149) | (~v226(constB149))) <=> (v86(constB149) | (~v226(constB149)) | (~v148(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21062,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v226(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB149) | (~v226(constB149)) | (~v148(constB149))))),
% 83.40/52.98 inference(monotonicity,[status(thm)],[21061])).
% 83.40/52.98 tff(21063,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v226(constB149)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB149) | (~v226(constB149)) | (~v148(constB149)))),
% 83.40/52.98 inference(transitivity,[status(thm)],[21062, 21060])).
% 83.40/52.98 tff(21064,plain,
% 83.40/52.98 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB149)) | v86(constB149) | (~v226(constB149)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21065,plain,
% 83.40/52.98 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB149) | (~v226(constB149)) | (~v148(constB149))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 83.40/52.98 tff(21066,plain,
% 83.40/52.98 (v86(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21065, 15936, 21059, 21051])).
% 83.40/52.98 tff(21067,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB149)) | (~v86(constB149)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB149)) | (~v86(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21068,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB149)) | (~v86(constB149)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21069,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB149)) | (~v86(constB149))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 83.40/52.98 tff(21070,plain,
% 83.40/52.98 (~v295(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21069, 15950, 21066])).
% 83.40/52.98 tff(21071,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB149) | (~v294(constB149)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB149) | (~v294(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21072,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB149) | (~v294(constB149)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21073,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB149) | (~v294(constB149))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21072, 21071])).
% 83.40/52.98 tff(21074,plain,
% 83.40/52.98 (~v294(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21073, 15964, 21070])).
% 83.40/52.98 tff(21075,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB149) | (~v293(constB149)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB149) | (~v293(constB149)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21076,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB149) | (~v293(constB149)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21077,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB149) | (~v293(constB149))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 83.40/52.98 tff(21078,plain,
% 83.40/52.98 (~v293(constB149)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21077, 15978, 21074])).
% 83.40/52.98 tff(21079,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21080,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB145, 0)) | v90(constB145, 0))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21081,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB145, 0)) | v90(constB145, 0)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21080, 21079])).
% 83.40/52.98 tff(21082,plain,
% 83.40/52.98 (~v88(constB145, 0)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21081, 3705, 20612])).
% 83.40/52.98 tff(21083,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21084,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB145, 2)) | v88(constB145, 2))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21085,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB145, 2)) | v88(constB145, 2)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 83.40/52.98 tff(21086,plain,
% 83.40/52.98 (v88(constB145, 2)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21085, 3716, 20547])).
% 83.40/52.98 tff(21087,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21088,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB145, 1)) | v88(constB145, 1))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21089,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB145, 1)) | v88(constB145, 1)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21088, 21087])).
% 83.40/52.98 tff(21090,plain,
% 83.40/52.98 (v88(constB145, 1)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21089, 3727, 20578])).
% 83.40/52.98 tff(21091,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21092,plain,
% 83.40/52.98 (((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145)) <=> ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21093,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0)))),
% 83.40/52.98 inference(monotonicity,[status(thm)],[21092])).
% 83.40/52.98 tff(21094,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0))),
% 83.40/52.98 inference(transitivity,[status(thm)],[21093, 21091])).
% 83.40/52.98 tff(21095,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB145, 2)) | (~v88(constB145, 1)) | v88(constB145, 0) | v144(constB145))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21096,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB145, 2)) | v144(constB145) | (~v88(constB145, 1)) | v88(constB145, 0)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 83.40/52.98 tff(21097,plain,
% 83.40/52.98 (v144(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21096, 3741, 21090, 21086, 21082])).
% 83.40/52.98 tff(21098,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21099,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB145)) | v142(constB145))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21100,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB145)) | v142(constB145)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 83.40/52.98 tff(21101,plain,
% 83.40/52.98 (v142(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21100, 3755, 21097])).
% 83.40/52.98 tff(21102,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB145)) | v227(constB145))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB145)) | v227(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21103,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB145)) | v227(constB145))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21104,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB145)) | v227(constB145)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 83.40/52.98 tff(21105,plain,
% 83.40/52.98 (v227(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21104, 3766, 21101])).
% 83.40/52.98 tff(21106,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB145) | (~v227(constB145)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB145) | (~v227(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21107,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB145) | (~v227(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21108,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB145) | (~v227(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21107, 21106])).
% 83.40/52.98 tff(21109,plain,
% 83.40/52.98 (v226(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21108, 3517, 21105])).
% 83.40/52.98 tff(21110,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21111,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB145)) | (~v88(constB145, 1)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21112,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB145)) | (~v88(constB145, 1))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21111, 21110])).
% 83.40/52.98 tff(21113,plain,
% 83.40/52.98 (~v139(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21112, 3958, 21090])).
% 83.40/52.98 tff(21114,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21115,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB145)) | (~v88(constB145, 1)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21116,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB145)) | (~v88(constB145, 1))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21115, 21114])).
% 83.40/52.98 tff(21117,plain,
% 83.40/52.98 (~v140(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21116, 3969, 21090])).
% 83.40/52.98 tff(21118,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21119,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21120,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 83.40/52.98 tff(21121,plain,
% 83.40/52.98 (~v168(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21120, 3983, 21117, 21113])).
% 83.40/52.98 tff(21122,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v226(constB145)) | v168(constB145))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21123,plain,
% 83.40/52.98 (((~v226(constB145)) | v168(constB145) | (~v161(constB145))) <=> ((~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21124,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB145)) | v168(constB145) | (~v161(constB145)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB145)) | (~v226(constB145)) | v168(constB145)))),
% 83.40/52.98 inference(monotonicity,[status(thm)],[21123])).
% 83.40/52.98 tff(21125,plain,
% 83.40/52.98 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB145)) | v168(constB145) | (~v161(constB145)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145))),
% 83.40/52.98 inference(transitivity,[status(thm)],[21124, 21122])).
% 83.40/52.98 tff(21126,plain,
% 83.40/52.98 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB145)) | v168(constB145) | (~v161(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21127,plain,
% 83.40/52.98 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB145)) | (~v226(constB145)) | v168(constB145)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 83.40/52.98 tff(21128,plain,
% 83.40/52.98 ((~v161(constB145)) | (~v226(constB145))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21127, 3997, 21121])).
% 83.40/52.98 tff(21129,plain,
% 83.40/52.98 (~v161(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21128, 21109])).
% 83.40/52.98 tff(21130,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21131,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB145) | (~v187(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21132,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB145) | (~v187(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 83.40/52.98 tff(21133,plain,
% 83.40/52.98 (~v187(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21132, 4015, 21129])).
% 83.40/52.98 tff(21134,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21135,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB145) | (~v185(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21136,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB145) | (~v185(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21135, 21134])).
% 83.40/52.98 tff(21137,plain,
% 83.40/52.98 (~v185(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21136, 4029, 21133])).
% 83.40/52.98 tff(21138,assumption,(v18(constB146)), introduced(assumption)).
% 83.40/52.98 tff(21139,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB146))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21140,plain,
% 83.40/52.98 ($false),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21139, 3600, 21138])).
% 83.40/52.98 tff(21141,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 83.40/52.98 tff(21142,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21143,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21144,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21143, 21142])).
% 83.40/52.98 tff(21145,plain,
% 83.40/52.98 (v22(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21144, 3613, 20662])).
% 83.40/52.98 tff(21146,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21147,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21148,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 83.40/52.98 tff(21149,plain,
% 83.40/52.98 (v18(constB146) | (~v19(constB146))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21148, 3627, 21145])).
% 83.40/52.98 tff(21150,plain,
% 83.40/52.98 (~v19(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21149, 21141])).
% 83.40/52.98 tff(21151,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21152,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21153,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21152, 21151])).
% 83.40/52.98 tff(21154,plain,
% 83.40/52.98 (v13(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21153, 3639, 21150])).
% 83.40/52.98 tff(21155,plain,
% 83.40/52.98 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21156,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21157,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21156, 21155])).
% 83.40/52.98 tff(21158,plain,
% 83.40/52.98 (v9(constB145) | (~v13(constB146))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21157, 3653, 20642])).
% 83.40/52.98 tff(21159,plain,
% 83.40/52.98 (v9(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21158, 21154])).
% 83.40/52.98 tff(21160,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21161,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v184(constB145))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21162,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB145) | (~v9(constB145)) | v184(constB145)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21161, 21160])).
% 83.40/52.98 tff(21163,plain,
% 83.40/52.98 ((~v9(constB145)) | v184(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21162, 3668, 20523])).
% 83.40/52.98 tff(21164,plain,
% 83.40/52.98 (v184(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21163, 21159])).
% 83.40/52.98 tff(21165,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB145)) | v183(constB145))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB145)) | v183(constB145))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21166,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB145)) | v183(constB145))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21167,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB145)) | v183(constB145)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 83.40/52.98 tff(21168,plain,
% 83.40/52.98 (v183(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21167, 3680, 21164])).
% 83.40/52.98 tff(21169,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB145)) | (~v183(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21170,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB145)) | (~v183(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21171,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB145)) | (~v183(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 83.40/52.98 tff(21172,plain,
% 83.40/52.98 (~v181(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21171, 4247, 21168])).
% 83.40/52.98 tff(21173,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21174,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB145) | v185(constB145) | (~v178(constB145)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21175,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB145) | v185(constB145) | (~v178(constB145))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 83.40/52.98 tff(21176,plain,
% 83.40/52.98 (v185(constB145) | (~v178(constB145))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21175, 4261, 21172])).
% 83.40/52.98 tff(21177,plain,
% 83.40/52.98 (~v178(constB145)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21176, 21137])).
% 83.40/52.98 tff(21178,plain,
% 83.40/52.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21179,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21180,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB145, constB146)) | v178(constB145) | (~v180(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 83.40/52.98 tff(21181,plain,
% 83.40/52.98 (v178(constB145) | (~v180(constB146))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21180, 4276, 20642])).
% 83.40/52.98 tff(21182,plain,
% 83.40/52.98 (~v180(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21181, 21177])).
% 83.40/52.98 tff(21183,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21184,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB146) | (~v181(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21185,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB146) | (~v181(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 83.40/52.98 tff(21186,plain,
% 83.40/52.98 (~v181(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21185, 4291, 21182])).
% 83.40/52.98 tff(21187,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21188,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB146)) | (~v184(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21189,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB146)) | (~v184(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21188, 21187])).
% 83.40/52.98 tff(21190,plain,
% 83.40/52.98 (~v184(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21189, 3901, 20662])).
% 83.40/52.98 tff(21191,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21192,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB146) | (~v187(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21193,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB146) | (~v187(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21192, 21191])).
% 83.40/52.98 tff(21194,plain,
% 83.40/52.98 (~v187(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21193, 4309, 21190])).
% 83.40/52.98 tff(21195,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21196,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB146) | (~v185(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21197,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB146) | (~v185(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21196, 21195])).
% 83.40/52.98 tff(21198,plain,
% 83.40/52.98 (~v185(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21197, 4029, 21194])).
% 83.40/52.98 tff(21199,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21200,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB146) | v185(constB146) | (~v178(constB146)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21201,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB146) | v185(constB146) | (~v178(constB146))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 83.40/52.98 tff(21202,plain,
% 83.40/52.98 (v181(constB146) | (~v178(constB146))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21201, 4261, 21198])).
% 83.40/52.98 tff(21203,plain,
% 83.40/52.98 (~v178(constB146)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21202, 21186])).
% 83.40/52.98 tff(21204,plain,
% 83.40/52.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21205,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21206,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB146, constB147)) | v178(constB146) | (~v180(constB147))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21205, 21204])).
% 83.40/52.98 tff(21207,plain,
% 83.40/52.98 (v178(constB146) | (~v180(constB147))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21206, 4276, 20728])).
% 83.40/52.98 tff(21208,plain,
% 83.40/52.98 (~v180(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21207, 21203])).
% 83.40/52.98 tff(21209,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB147) | (~v215(constB147)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB147) | (~v215(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21210,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB147) | (~v215(constB147)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21211,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB147) | (~v215(constB147))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 83.40/52.98 tff(21212,plain,
% 83.40/52.98 (~v215(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21211, 4427, 21208])).
% 83.40/52.98 tff(21213,assumption,(v18(constB148)), introduced(assumption)).
% 83.40/52.98 tff(21214,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB148))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21215,plain,
% 83.40/52.98 ($false),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21214, 3600, 21213])).
% 83.40/52.98 tff(21216,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 83.40/52.98 tff(21217,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21218,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21219,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21218, 21217])).
% 83.40/52.98 tff(21220,plain,
% 83.40/52.98 (v22(constB148)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21219, 3613, 20896])).
% 83.40/52.98 tff(21221,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21222,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21223,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 83.40/52.98 tff(21224,plain,
% 83.40/52.98 (v18(constB148) | (~v19(constB148))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21223, 3627, 21220])).
% 83.40/52.98 tff(21225,plain,
% 83.40/52.98 (~v19(constB148)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21224, 21216])).
% 83.40/52.98 tff(21226,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21227,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21228,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21227, 21226])).
% 83.40/52.98 tff(21229,plain,
% 83.40/52.98 (v13(constB148)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21228, 3639, 21225])).
% 83.40/52.98 tff(21230,plain,
% 83.40/52.98 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21231,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21232,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21231, 21230])).
% 83.40/52.98 tff(21233,plain,
% 83.40/52.98 (v9(constB147) | (~v13(constB148))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21232, 3653, 20876])).
% 83.40/52.98 tff(21234,plain,
% 83.40/52.98 (v9(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21233, 21229])).
% 83.40/52.98 tff(21235,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v184(constB147))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB147) | (~v9(constB147)) | v184(constB147))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21236,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v184(constB147))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21237,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB147) | (~v9(constB147)) | v184(constB147)),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21236, 21235])).
% 83.40/52.98 tff(21238,plain,
% 83.40/52.98 ((~v9(constB147)) | v184(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21237, 3668, 20725])).
% 83.40/52.98 tff(21239,plain,
% 83.40/52.98 (v184(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21238, 21234])).
% 83.40/52.98 tff(21240,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB147) | (~v184(constB147)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB147) | (~v184(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21241,plain,
% 83.40/52.98 (((~v184(constB147)) | v183(constB147)) <=> (v183(constB147) | (~v184(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21242,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB147)) | v183(constB147))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB147) | (~v184(constB147))))),
% 83.40/52.98 inference(monotonicity,[status(thm)],[21241])).
% 83.40/52.98 tff(21243,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB147)) | v183(constB147))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB147) | (~v184(constB147)))),
% 83.40/52.98 inference(transitivity,[status(thm)],[21242, 21240])).
% 83.40/52.98 tff(21244,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB147)) | v183(constB147))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21245,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB147) | (~v184(constB147))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 83.40/52.98 tff(21246,plain,
% 83.40/52.98 (v183(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21245, 3680, 21239])).
% 83.40/52.98 tff(21247,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB147)) | (~v214(constB147)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB147)) | (~v214(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21248,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB147)) | (~v214(constB147)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21249,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB147)) | (~v214(constB147))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21248, 21247])).
% 83.40/52.98 tff(21250,plain,
% 83.40/52.98 (~v214(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21249, 4593, 21246])).
% 83.40/52.98 tff(21251,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB147) | v215(constB147) | (~v211(constB147)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB147) | v215(constB147) | (~v211(constB147)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21252,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB147) | v215(constB147) | (~v211(constB147)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21253,plain,
% 83.40/52.98 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB147) | v215(constB147) | (~v211(constB147))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 83.40/52.98 tff(21254,plain,
% 83.40/52.98 (v215(constB147) | (~v211(constB147))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21253, 4607, 21250])).
% 83.40/52.98 tff(21255,plain,
% 83.40/52.98 (~v211(constB147)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21254, 21212])).
% 83.40/52.98 tff(21256,plain,
% 83.40/52.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))),
% 83.40/52.98 inference(rewrite,[status(thm)],[])).
% 83.40/52.98 tff(21257,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148)))),
% 83.40/52.98 inference(quant_inst,[status(thm)],[])).
% 83.40/52.98 tff(21258,plain,
% 83.40/52.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB147, constB148)) | v211(constB147) | (~v213(constB148))),
% 83.40/52.98 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 83.40/52.98 tff(21259,plain,
% 83.40/52.98 (v211(constB147) | (~v213(constB148))),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21258, 4622, 20876])).
% 83.40/52.98 tff(21260,plain,
% 83.40/52.98 (~v213(constB148)),
% 83.40/52.98 inference(unit_resolution,[status(thm)],[21259, 21255])).
% 83.40/52.98 tff(21261,plain,
% 83.40/52.98 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB148) | (~v214(constB148)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB148) | (~v214(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21262,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB148) | (~v214(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21263,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB148) | (~v214(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 83.40/52.99 tff(21264,plain,
% 83.40/52.99 (~v214(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21263, 4637, 21260])).
% 83.40/52.99 tff(21265,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21266,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB148)) | (~v184(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21267,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB148)) | (~v184(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 83.40/52.99 tff(21268,plain,
% 83.40/52.99 (~v184(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21267, 3901, 20896])).
% 83.40/52.99 tff(21269,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB148) | (~v217(constB148)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB148) | (~v217(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21270,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB148) | (~v217(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21271,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB148) | (~v217(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21270, 21269])).
% 83.40/52.99 tff(21272,plain,
% 83.40/52.99 (~v217(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21271, 4651, 21268])).
% 83.40/52.99 tff(21273,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB148) | (~v216(constB148)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB148) | (~v216(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21274,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB148) | (~v216(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21275,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB148) | (~v216(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 83.40/52.99 tff(21276,plain,
% 83.40/52.99 (~v216(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21275, 4565, 21272])).
% 83.40/52.99 tff(21277,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB148) | (~v215(constB148)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB148) | (~v215(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21278,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB148) | (~v215(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21279,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB148) | (~v215(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21278, 21277])).
% 83.40/52.99 tff(21280,plain,
% 83.40/52.99 (~v215(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21279, 4579, 21276])).
% 83.40/52.99 tff(21281,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB148) | v215(constB148) | (~v211(constB148)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB148) | v215(constB148) | (~v211(constB148)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21282,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB148) | v215(constB148) | (~v211(constB148)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21283,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB148) | v215(constB148) | (~v211(constB148))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21282, 21281])).
% 83.40/52.99 tff(21284,plain,
% 83.40/52.99 (v214(constB148) | (~v211(constB148))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21283, 4607, 21280])).
% 83.40/52.99 tff(21285,plain,
% 83.40/52.99 (~v211(constB148)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21284, 21264])).
% 83.40/52.99 tff(21286,plain,
% 83.40/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21287,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21288,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB148, constB149)) | v211(constB148) | (~v213(constB149))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 83.40/52.99 tff(21289,plain,
% 83.40/52.99 (v211(constB148) | (~v213(constB149))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21288, 4622, 20938])).
% 83.40/52.99 tff(21290,plain,
% 83.40/52.99 (~v213(constB149)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21289, 21285])).
% 83.40/52.99 tff(21291,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB149) | (~v297(constB149)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB149) | (~v297(constB149)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21292,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB149) | (~v297(constB149)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21293,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB149) | (~v297(constB149))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21292, 21291])).
% 83.40/52.99 tff(21294,plain,
% 83.40/52.99 (~v297(constB149)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21293, 4767, 21290])).
% 83.40/52.99 tff(21295,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB149) | v297(constB149) | (~v292(constB149)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB149) | v297(constB149) | (~v292(constB149)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21296,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB149) | v297(constB149) | (~v292(constB149)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21297,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB149) | v297(constB149) | (~v292(constB149))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21296, 21295])).
% 83.40/52.99 tff(21298,plain,
% 83.40/52.99 (v293(constB149) | (~v292(constB149))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21297, 4781, 21294])).
% 83.40/52.99 tff(21299,plain,
% 83.40/52.99 (~v292(constB149)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21298, 21078])).
% 83.40/52.99 tff(21300,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB143, 2)) | v88(constB143, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB143, 2)) | v88(constB143, 2))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21301,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB143, 2)) | v88(constB143, 2))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21302,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB143, 2)) | v88(constB143, 2)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 83.40/52.99 tff(21303,plain,
% 83.40/52.99 (v88(constB143, 2)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21302, 3716, 20366])).
% 83.40/52.99 tff(21304,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB143)) | (~v88(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB143)) | (~v88(constB143, 2)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21305,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB143)) | (~v88(constB143, 2)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21306,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB143)) | (~v88(constB143, 2))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 83.40/52.99 tff(21307,plain,
% 83.40/52.99 (~v140(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21306, 4044, 21303])).
% 83.40/52.99 tff(21308,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB143, 0)) | v88(constB143, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB143, 0)) | v88(constB143, 0))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21309,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB143, 0)) | v88(constB143, 0))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21310,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB143, 0)) | v88(constB143, 0)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21309, 21308])).
% 83.40/52.99 tff(21311,plain,
% 83.40/52.99 (v88(constB143, 0)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21310, 3447, 20431])).
% 83.40/52.99 tff(21312,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB143)) | (~v88(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB143)) | (~v88(constB143, 0)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21313,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB143)) | (~v88(constB143, 0)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21314,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB143)) | (~v88(constB143, 0))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 83.40/52.99 tff(21315,plain,
% 83.40/52.99 (~v139(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21314, 4059, 21311])).
% 83.40/52.99 tff(21316,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB143) | v140(constB143) | (~v168(constB143)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB143) | v140(constB143) | (~v168(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21317,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB143) | v140(constB143) | (~v168(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21318,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB143) | v140(constB143) | (~v168(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 83.40/52.99 tff(21319,plain,
% 83.40/52.99 (~v168(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21318, 3983, 21315, 21307])).
% 83.40/52.99 tff(21320,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB143, 1)) | v90(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB143, 1)) | v90(constB143, 1))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21321,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB143, 1)) | v90(constB143, 1))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21322,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB143, 1)) | v90(constB143, 1)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 83.40/52.99 tff(21323,plain,
% 83.40/52.99 (~v88(constB143, 1)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21322, 3405, 20400])).
% 83.40/52.99 tff(21324,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21325,plain,
% 83.40/52.99 (((~v88(constB143, 2)) | v88(constB143, 1) | (~v88(constB143, 0)) | v147(constB143)) <=> (v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21326,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB143, 2)) | v88(constB143, 1) | (~v88(constB143, 0)) | v147(constB143))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143)))),
% 83.40/52.99 inference(monotonicity,[status(thm)],[21325])).
% 83.40/52.99 tff(21327,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB143, 2)) | v88(constB143, 1) | (~v88(constB143, 0)) | v147(constB143))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143))),
% 83.40/52.99 inference(transitivity,[status(thm)],[21326, 21324])).
% 83.40/52.99 tff(21328,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB143, 2)) | v88(constB143, 1) | (~v88(constB143, 0)) | v147(constB143))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21329,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB143, 1) | (~v88(constB143, 0)) | (~v88(constB143, 2)) | v147(constB143)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 83.40/52.99 tff(21330,plain,
% 83.40/52.99 (v147(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21329, 4081, 21311, 21303, 21323])).
% 83.40/52.99 tff(21331,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB143) | (~v147(constB143)))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB143) | (~v147(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21332,plain,
% 83.40/52.99 (((~v147(constB143)) | v145(constB143)) <=> (v145(constB143) | (~v147(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21333,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB143)) | v145(constB143))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB143) | (~v147(constB143))))),
% 83.40/52.99 inference(monotonicity,[status(thm)],[21332])).
% 83.40/52.99 tff(21334,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB143)) | v145(constB143))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB143) | (~v147(constB143)))),
% 83.40/52.99 inference(transitivity,[status(thm)],[21333, 21331])).
% 83.40/52.99 tff(21335,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB143)) | v145(constB143))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21336,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB143) | (~v147(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21335, 21334])).
% 83.40/52.99 tff(21337,plain,
% 83.40/52.99 (v145(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21336, 4095, 21330])).
% 83.40/52.99 tff(21338,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB143) | (~v145(constB143)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB143) | (~v145(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21339,plain,
% 83.40/52.99 (((~v145(constB143)) | v226(constB143)) <=> (v226(constB143) | (~v145(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21340,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB143)) | v226(constB143))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB143) | (~v145(constB143))))),
% 83.40/52.99 inference(monotonicity,[status(thm)],[21339])).
% 83.40/52.99 tff(21341,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB143)) | v226(constB143))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB143) | (~v145(constB143)))),
% 83.40/52.99 inference(transitivity,[status(thm)],[21340, 21338])).
% 83.40/52.99 tff(21342,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB143)) | v226(constB143))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21343,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB143) | (~v145(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 83.40/52.99 tff(21344,plain,
% 83.40/52.99 (v226(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21343, 4106, 21337])).
% 83.40/52.99 tff(21345,plain,
% 83.40/52.99 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB143)) | v168(constB143) | (~v226(constB143)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB143)) | v168(constB143) | (~v226(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21346,plain,
% 83.40/52.99 (((~v226(constB143)) | v168(constB143) | (~v161(constB143))) <=> ((~v161(constB143)) | v168(constB143) | (~v226(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21347,plain,
% 83.40/52.99 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB143)) | v168(constB143) | (~v161(constB143)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB143)) | v168(constB143) | (~v226(constB143))))),
% 83.40/52.99 inference(monotonicity,[status(thm)],[21346])).
% 83.40/52.99 tff(21348,plain,
% 83.40/52.99 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB143)) | v168(constB143) | (~v161(constB143)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB143)) | v168(constB143) | (~v226(constB143)))),
% 83.40/52.99 inference(transitivity,[status(thm)],[21347, 21345])).
% 83.40/52.99 tff(21349,plain,
% 83.40/52.99 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB143)) | v168(constB143) | (~v161(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21350,plain,
% 83.40/52.99 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB143)) | v168(constB143) | (~v226(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 83.40/52.99 tff(21351,plain,
% 83.40/52.99 (~v161(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21350, 3997, 21344, 21319])).
% 83.40/52.99 tff(21352,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB143) | (~v187(constB143)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB143) | (~v187(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21353,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB143) | (~v187(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21354,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB143) | (~v187(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 83.40/52.99 tff(21355,plain,
% 83.40/52.99 (~v187(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21354, 4015, 21351])).
% 83.40/52.99 tff(21356,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21357,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB143) | (~v185(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21358,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB143) | (~v185(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21357, 21356])).
% 83.40/52.99 tff(21359,plain,
% 83.40/52.99 (~v185(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21358, 4029, 21355])).
% 83.40/52.99 tff(21360,assumption,(v18(constB144)), introduced(assumption)).
% 83.40/52.99 tff(21361,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB144))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21362,plain,
% 83.40/52.99 ($false),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21361, 3600, 21360])).
% 83.40/52.99 tff(21363,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 83.40/52.99 tff(21364,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21365,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21366,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21365, 21364])).
% 83.40/52.99 tff(21367,plain,
% 83.40/52.99 (v22(constB144)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21366, 3613, 20484])).
% 83.40/52.99 tff(21368,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21369,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21370,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 83.40/52.99 tff(21371,plain,
% 83.40/52.99 (v18(constB144) | (~v19(constB144))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21370, 3627, 21367])).
% 83.40/52.99 tff(21372,plain,
% 83.40/52.99 (~v19(constB144)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21371, 21363])).
% 83.40/52.99 tff(21373,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21374,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21375,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 83.40/52.99 tff(21376,plain,
% 83.40/52.99 (v13(constB144)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21375, 3639, 21372])).
% 83.40/52.99 tff(21377,plain,
% 83.40/52.99 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21378,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21379,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 83.40/52.99 tff(21380,plain,
% 83.40/52.99 (v9(constB143) | (~v13(constB144))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21379, 3653, 20464])).
% 83.40/52.99 tff(21381,plain,
% 83.40/52.99 (v9(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21380, 21376])).
% 83.40/52.99 tff(21382,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21383,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v184(constB143))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21384,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB143) | (~v9(constB143)) | v184(constB143)),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21383, 21382])).
% 83.40/52.99 tff(21385,plain,
% 83.40/52.99 ((~v9(constB143)) | v184(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21384, 3668, 20342])).
% 83.40/52.99 tff(21386,plain,
% 83.40/52.99 (v184(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21385, 21381])).
% 83.40/52.99 tff(21387,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB143) | (~v184(constB143)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB143) | (~v184(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21388,plain,
% 83.40/52.99 (((~v184(constB143)) | v183(constB143)) <=> (v183(constB143) | (~v184(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21389,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB143)) | v183(constB143))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB143) | (~v184(constB143))))),
% 83.40/52.99 inference(monotonicity,[status(thm)],[21388])).
% 83.40/52.99 tff(21390,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB143)) | v183(constB143))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB143) | (~v184(constB143)))),
% 83.40/52.99 inference(transitivity,[status(thm)],[21389, 21387])).
% 83.40/52.99 tff(21391,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB143)) | v183(constB143))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21392,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB143) | (~v184(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 83.40/52.99 tff(21393,plain,
% 83.40/52.99 (v183(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21392, 3680, 21386])).
% 83.40/52.99 tff(21394,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB143)) | (~v183(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21395,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB143)) | (~v183(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21396,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB143)) | (~v183(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 83.40/52.99 tff(21397,plain,
% 83.40/52.99 (~v181(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21396, 4247, 21393])).
% 83.40/52.99 tff(21398,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21399,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB143) | v185(constB143) | (~v178(constB143)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21400,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB143) | v185(constB143) | (~v178(constB143))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 83.40/52.99 tff(21401,plain,
% 83.40/52.99 (v185(constB143) | (~v178(constB143))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21400, 4261, 21397])).
% 83.40/52.99 tff(21402,plain,
% 83.40/52.99 (~v178(constB143)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21401, 21359])).
% 83.40/52.99 tff(21403,plain,
% 83.40/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21404,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21405,plain,
% 83.40/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB143, constB144)) | v178(constB143) | (~v180(constB144))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 83.40/52.99 tff(21406,plain,
% 83.40/52.99 (v178(constB143) | (~v180(constB144))),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21405, 4276, 20464])).
% 83.40/52.99 tff(21407,plain,
% 83.40/52.99 (~v180(constB144)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21406, 21402])).
% 83.40/52.99 tff(21408,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21409,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB144) | (~v181(constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21410,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB144) | (~v181(constB144))),
% 83.40/52.99 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 83.40/52.99 tff(21411,plain,
% 83.40/52.99 (~v181(constB144)),
% 83.40/52.99 inference(unit_resolution,[status(thm)],[21410, 4291, 21407])).
% 83.40/52.99 tff(21412,plain,
% 83.40/52.99 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144)))),
% 83.40/52.99 inference(rewrite,[status(thm)],[])).
% 83.40/52.99 tff(21413,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB144)) | (~v184(constB144)))),
% 83.40/52.99 inference(quant_inst,[status(thm)],[])).
% 83.40/52.99 tff(21414,plain,
% 83.40/52.99 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB144)) | (~v184(constB144))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 83.42/52.99 tff(21415,plain,
% 83.42/52.99 (~v184(constB144)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21414, 3901, 20484])).
% 83.42/52.99 tff(21416,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21417,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB144) | (~v187(constB144)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21418,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB144) | (~v187(constB144))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21417, 21416])).
% 83.42/52.99 tff(21419,plain,
% 83.42/52.99 (~v187(constB144)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21418, 4309, 21415])).
% 83.42/52.99 tff(21420,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21421,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB144) | (~v185(constB144)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21422,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB144) | (~v185(constB144))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21421, 21420])).
% 83.42/52.99 tff(21423,plain,
% 83.42/52.99 (~v185(constB144)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21422, 4029, 21419])).
% 83.42/52.99 tff(21424,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21425,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB144) | v185(constB144) | (~v178(constB144)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21426,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB144) | v185(constB144) | (~v178(constB144))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21425, 21424])).
% 83.42/52.99 tff(21427,plain,
% 83.42/52.99 (v181(constB144) | (~v178(constB144))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21426, 4261, 21423])).
% 83.42/52.99 tff(21428,plain,
% 83.42/52.99 (~v178(constB144)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21427, 21411])).
% 83.42/52.99 tff(21429,plain,
% 83.42/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21430,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21431,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB144, constB145)) | v178(constB144) | (~v180(constB145))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 83.42/52.99 tff(21432,plain,
% 83.42/52.99 (v178(constB144) | (~v180(constB145))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21431, 4276, 20526])).
% 83.42/52.99 tff(21433,plain,
% 83.42/52.99 (~v180(constB145)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21432, 21428])).
% 83.42/52.99 tff(21434,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB145) | (~v215(constB145)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB145) | (~v215(constB145)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21435,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB145) | (~v215(constB145)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21436,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB145) | (~v215(constB145))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 83.42/52.99 tff(21437,plain,
% 83.42/52.99 (~v215(constB145)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21436, 4427, 21433])).
% 83.42/52.99 tff(21438,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB145)) | (~v214(constB145)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB145)) | (~v214(constB145)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21439,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB145)) | (~v214(constB145)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21440,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB145)) | (~v214(constB145))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 83.42/52.99 tff(21441,plain,
% 83.42/52.99 (~v214(constB145)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21440, 4593, 21168])).
% 83.42/52.99 tff(21442,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB145) | v215(constB145) | (~v211(constB145)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB145) | v215(constB145) | (~v211(constB145)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21443,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB145) | v215(constB145) | (~v211(constB145)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21444,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB145) | v215(constB145) | (~v211(constB145))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21443, 21442])).
% 83.42/52.99 tff(21445,plain,
% 83.42/52.99 (v215(constB145) | (~v211(constB145))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21444, 4607, 21441])).
% 83.42/52.99 tff(21446,plain,
% 83.42/52.99 (~v211(constB145)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21445, 21437])).
% 83.42/52.99 tff(21447,plain,
% 83.42/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21448,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21449,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB145, constB146)) | v211(constB145) | (~v213(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21448, 21447])).
% 83.42/52.99 tff(21450,plain,
% 83.42/52.99 (v211(constB145) | (~v213(constB146))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21449, 4622, 20642])).
% 83.42/52.99 tff(21451,plain,
% 83.42/52.99 (~v213(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21450, 21446])).
% 83.42/52.99 tff(21452,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB146) | (~v214(constB146)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB146) | (~v214(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21453,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB146) | (~v214(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21454,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB146) | (~v214(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 83.42/52.99 tff(21455,plain,
% 83.42/52.99 (~v214(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21454, 4637, 21451])).
% 83.42/52.99 tff(21456,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB146) | (~v217(constB146)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB146) | (~v217(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21457,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB146) | (~v217(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21458,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB146) | (~v217(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 83.42/52.99 tff(21459,plain,
% 83.42/52.99 (~v217(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21458, 4651, 21190])).
% 83.42/52.99 tff(21460,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB146) | (~v216(constB146)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB146) | (~v216(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21461,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB146) | (~v216(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21462,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB146) | (~v216(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 83.42/52.99 tff(21463,plain,
% 83.42/52.99 (~v216(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21462, 4565, 21459])).
% 83.42/52.99 tff(21464,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB146) | (~v215(constB146)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB146) | (~v215(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21465,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB146) | (~v215(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21466,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB146) | (~v215(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21465, 21464])).
% 83.42/52.99 tff(21467,plain,
% 83.42/52.99 (~v215(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21466, 4579, 21463])).
% 83.42/52.99 tff(21468,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB146) | v215(constB146) | (~v211(constB146)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB146) | v215(constB146) | (~v211(constB146)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21469,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB146) | v215(constB146) | (~v211(constB146)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21470,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB146) | v215(constB146) | (~v211(constB146))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 83.42/52.99 tff(21471,plain,
% 83.42/52.99 (v214(constB146) | (~v211(constB146))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21470, 4607, 21467])).
% 83.42/52.99 tff(21472,plain,
% 83.42/52.99 (~v211(constB146)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21471, 21455])).
% 83.42/52.99 tff(21473,plain,
% 83.42/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21474,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21475,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB146, constB147)) | v211(constB146) | (~v213(constB147))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 83.42/52.99 tff(21476,plain,
% 83.42/52.99 (v211(constB146) | (~v213(constB147))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21475, 4622, 20728])).
% 83.42/52.99 tff(21477,plain,
% 83.42/52.99 (~v213(constB147)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21476, 21472])).
% 83.42/52.99 tff(21478,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB147) | (~v245(constB147)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB147) | (~v245(constB147)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21479,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB147) | (~v245(constB147)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21480,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB147) | (~v245(constB147))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 83.42/52.99 tff(21481,plain,
% 83.42/52.99 (~v245(constB147)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21480, 4796, 21477])).
% 83.42/52.99 tff(21482,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB147)) | (~v244(constB147)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB147)) | (~v244(constB147)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21483,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB147)) | (~v244(constB147)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21484,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB147)) | (~v244(constB147))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21483, 21482])).
% 83.42/52.99 tff(21485,plain,
% 83.42/52.99 (~v244(constB147)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21484, 4891, 21246])).
% 83.42/52.99 tff(21486,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB147) | v245(constB147) | (~v241(constB147)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB147) | v245(constB147) | (~v241(constB147)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21487,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB147) | v245(constB147) | (~v241(constB147)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21488,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB147) | v245(constB147) | (~v241(constB147))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21487, 21486])).
% 83.42/52.99 tff(21489,plain,
% 83.42/52.99 (v245(constB147) | (~v241(constB147))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21488, 4905, 21485])).
% 83.42/52.99 tff(21490,plain,
% 83.42/52.99 (~v241(constB147)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21489, 21481])).
% 83.42/52.99 tff(21491,plain,
% 83.42/52.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21492,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21493,plain,
% 83.42/52.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB147, constB148)) | v241(constB147) | (~v243(constB148))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 83.42/52.99 tff(21494,plain,
% 83.42/52.99 (v241(constB147) | (~v243(constB148))),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21493, 4920, 20876])).
% 83.42/52.99 tff(21495,plain,
% 83.42/52.99 (~v243(constB148)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21494, 21490])).
% 83.42/52.99 tff(21496,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB148) | (~v244(constB148)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB148) | (~v244(constB148)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21497,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB148) | (~v244(constB148)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21498,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB148) | (~v244(constB148))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 83.42/52.99 tff(21499,plain,
% 83.42/52.99 (~v244(constB148)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21498, 4935, 21495])).
% 83.42/52.99 tff(21500,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB148) | (~v247(constB148)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB148) | (~v247(constB148)))),
% 83.42/52.99 inference(rewrite,[status(thm)],[])).
% 83.42/52.99 tff(21501,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB148) | (~v247(constB148)))),
% 83.42/52.99 inference(quant_inst,[status(thm)],[])).
% 83.42/52.99 tff(21502,plain,
% 83.42/52.99 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB148) | (~v247(constB148))),
% 83.42/52.99 inference(modus_ponens,[status(thm)],[21501, 21500])).
% 83.42/52.99 tff(21503,plain,
% 83.42/52.99 (~v247(constB148)),
% 83.42/52.99 inference(unit_resolution,[status(thm)],[21502, 4949, 21268])).
% 83.42/52.99 tff(21504,plain,
% 83.42/52.99 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB148) | (~v246(constB148)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB148) | (~v246(constB148)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21505,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB148) | (~v246(constB148)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21506,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB148) | (~v246(constB148))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21505, 21504])).
% 83.42/53.00 tff(21507,plain,
% 83.42/53.00 (~v246(constB148)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21506, 4863, 21503])).
% 83.42/53.00 tff(21508,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB148) | (~v245(constB148)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB148) | (~v245(constB148)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21509,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB148) | (~v245(constB148)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21510,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB148) | (~v245(constB148))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 83.42/53.00 tff(21511,plain,
% 83.42/53.00 (~v245(constB148)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21510, 4877, 21507])).
% 83.42/53.00 tff(21512,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB148) | v245(constB148) | (~v241(constB148)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB148) | v245(constB148) | (~v241(constB148)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21513,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB148) | v245(constB148) | (~v241(constB148)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21514,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB148) | v245(constB148) | (~v241(constB148))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21513, 21512])).
% 83.42/53.00 tff(21515,plain,
% 83.42/53.00 (v244(constB148) | (~v241(constB148))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21514, 4905, 21511])).
% 83.42/53.00 tff(21516,plain,
% 83.42/53.00 (~v241(constB148)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21515, 21499])).
% 83.42/53.00 tff(21517,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21518,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21519,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB148, constB149)) | v241(constB148) | (~v243(constB149))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 83.42/53.00 tff(21520,plain,
% 83.42/53.00 (v241(constB148) | (~v243(constB149))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21519, 4920, 20938])).
% 83.42/53.00 tff(21521,plain,
% 83.42/53.00 (~v243(constB149)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21520, 21516])).
% 83.42/53.00 tff(21522,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB149) | (~v302(constB149)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB149) | (~v302(constB149)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21523,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB149) | (~v302(constB149)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21524,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB149) | (~v302(constB149))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21523, 21522])).
% 83.42/53.00 tff(21525,plain,
% 83.42/53.00 (~v302(constB149)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21524, 5060, 21521])).
% 83.42/53.00 tff(21526,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB149) | v302(constB149) | v292(constB149))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB149) | v302(constB149) | v292(constB149))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21527,plain,
% 83.42/53.00 ((v292(constB149) | v302(constB149) | v290(constB149)) <=> (v290(constB149) | v302(constB149) | v292(constB149))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21528,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB149) | v302(constB149) | v290(constB149))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB149) | v302(constB149) | v292(constB149)))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21527])).
% 83.42/53.00 tff(21529,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB149) | v302(constB149) | v290(constB149))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB149) | v302(constB149) | v292(constB149))),
% 83.42/53.00 inference(transitivity,[status(thm)],[21528, 21526])).
% 83.42/53.00 tff(21530,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB149) | v302(constB149) | v290(constB149))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21531,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB149) | v302(constB149) | v292(constB149)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 83.42/53.00 tff(21532,plain,
% 83.42/53.00 (v290(constB149) | v292(constB149)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21531, 5074, 21525])).
% 83.42/53.00 tff(21533,plain,
% 83.42/53.00 (v290(constB149)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21532, 21299])).
% 83.42/53.00 tff(21534,plain,
% 83.42/53.00 ($false),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21533, 20033])).
% 83.42/53.00 tff(21535,plain,((~(constB149 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.42/53.00 tff(21536,plain,
% 83.42/53.00 (~(constB149 = sK_VarCurr)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21535, 5241])).
% 83.42/53.00 tff(21537,assumption,(constB1 = sK_VarCurr), introduced(assumption)).
% 83.42/53.00 tff(21538,plain,
% 83.42/53.00 (v290(constB1) <=> v290(sK_VarCurr)),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21537])).
% 83.42/53.00 tff(21539,plain,
% 83.42/53.00 (v290(sK_VarCurr) <=> v290(constB1)),
% 83.42/53.00 inference(symmetry,[status(thm)],[21538])).
% 83.42/53.00 tff(21540,plain,
% 83.42/53.00 ((~v290(sK_VarCurr)) <=> (~v290(constB1))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21539])).
% 83.42/53.00 tff(21541,plain,
% 83.42/53.00 (~v290(constB1)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[5241, 21540])).
% 83.42/53.00 tff(21542,plain,
% 83.42/53.00 ((~v161(constB0)) <=> (~v161(constB0))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21543,axiom,(~v161(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1')).
% 83.42/53.00 tff(21544,plain,
% 83.42/53.00 (~v161(constB0)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 83.42/53.00 tff(21545,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB0) | (~v187(constB0)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB0) | (~v187(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21546,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB0) | (~v187(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21547,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB0) | (~v187(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 83.42/53.00 tff(21548,plain,
% 83.42/53.00 (~v187(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21547, 21544, 4015])).
% 83.42/53.00 tff(21549,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21550,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21551,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21550, 21549])).
% 83.42/53.00 tff(21552,plain,
% 83.42/53.00 (~v185(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21551, 4029, 21548])).
% 83.42/53.00 tff(21553,plain,
% 83.42/53.00 ((~v180(constB0)) <=> (~v180(constB0))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21554,axiom,(~v180(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 83.42/53.00 tff(21555,plain,
% 83.42/53.00 (~v180(constB0)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 83.42/53.00 tff(21556,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21557,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21558,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21557, 21556])).
% 83.42/53.00 tff(21559,plain,
% 83.42/53.00 (~v181(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21558, 21555, 4291])).
% 83.42/53.00 tff(21560,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21561,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21562,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21561, 21560])).
% 83.42/53.00 tff(21563,plain,
% 83.42/53.00 (~v178(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21562, 4261, 21559, 21552])).
% 83.42/53.00 tff(21564,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21565,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21566,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21565, 21564])).
% 83.42/53.00 tff(21567,plain,
% 83.42/53.00 (v178(constB0) | (~v180(constB1))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21566, 4276, 56])).
% 83.42/53.00 tff(21568,plain,
% 83.42/53.00 (~v180(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21567, 21563])).
% 83.42/53.00 tff(21569,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB1) | (~v293(constB1)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB1) | (~v293(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21570,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB1) | (~v293(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21571,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB1) | (~v293(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 83.42/53.00 tff(21572,plain,
% 83.42/53.00 (~v293(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21571, 4413, 21568])).
% 83.42/53.00 tff(21573,plain,
% 83.42/53.00 ((~v213(constB0)) <=> (~v213(constB0))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21574,axiom,(~v213(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_9_1_1_1')).
% 83.42/53.00 tff(21575,plain,
% 83.42/53.00 (~v213(constB0)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21574, 21573])).
% 83.42/53.00 tff(21576,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB0) | (~v214(constB0)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB0) | (~v214(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21577,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB0) | (~v214(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21578,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB0) | (~v214(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 83.42/53.00 tff(21579,plain,
% 83.42/53.00 (~v214(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21578, 21575, 4637])).
% 83.42/53.00 tff(21580,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB0) | (~v215(constB0)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB0) | (~v215(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21581,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB0) | (~v215(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21582,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB0) | (~v215(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 83.42/53.00 tff(21583,plain,
% 83.42/53.00 (~v215(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21582, 21555, 4427])).
% 83.42/53.00 tff(21584,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB0) | v215(constB0) | (~v211(constB0)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB0) | v215(constB0) | (~v211(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21585,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB0) | v215(constB0) | (~v211(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21586,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB0) | v215(constB0) | (~v211(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 83.42/53.00 tff(21587,plain,
% 83.42/53.00 (~v211(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21586, 4607, 21583, 21579])).
% 83.42/53.00 tff(21588,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB0, constB1)) | v211(constB0) | (~v213(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB0, constB1)) | v211(constB0) | (~v213(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21589,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB0, constB1)) | v211(constB0) | (~v213(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21590,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB0, constB1)) | v211(constB0) | (~v213(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 83.42/53.00 tff(21591,plain,
% 83.42/53.00 (v211(constB0) | (~v213(constB1))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21590, 4622, 56])).
% 83.42/53.00 tff(21592,plain,
% 83.42/53.00 (~v213(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21591, 21587])).
% 83.42/53.00 tff(21593,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB1) | (~v297(constB1)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB1) | (~v297(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21594,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB1) | (~v297(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21595,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB1) | (~v297(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21594, 21593])).
% 83.42/53.00 tff(21596,plain,
% 83.42/53.00 (~v297(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21595, 4767, 21592])).
% 83.42/53.00 tff(21597,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB1) | v297(constB1) | (~v292(constB1)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB1) | v297(constB1) | (~v292(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21598,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB1) | v297(constB1) | (~v292(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21599,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB1) | v297(constB1) | (~v292(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21598, 21597])).
% 83.42/53.00 tff(21600,plain,
% 83.42/53.00 (~v292(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21599, 4781, 21596, 21572])).
% 83.42/53.00 tff(21601,plain,
% 83.42/53.00 ((~v243(constB0)) <=> (~v243(constB0))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21602,axiom,(~v243(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_11_1_1_1')).
% 83.42/53.00 tff(21603,plain,
% 83.42/53.00 (~v243(constB0)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 83.42/53.00 tff(21604,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB0) | (~v244(constB0)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB0) | (~v244(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21605,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB0) | (~v244(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21606,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB0) | (~v244(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21605, 21604])).
% 83.42/53.00 tff(21607,plain,
% 83.42/53.00 (~v244(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21606, 21603, 4935])).
% 83.42/53.00 tff(21608,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB0) | (~v245(constB0)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB0) | (~v245(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21609,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB0) | (~v245(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21610,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB0) | (~v245(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 83.42/53.00 tff(21611,plain,
% 83.42/53.00 (~v245(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21610, 21575, 4796])).
% 83.42/53.00 tff(21612,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB0) | v245(constB0) | (~v241(constB0)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB0) | v245(constB0) | (~v241(constB0)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21613,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB0) | v245(constB0) | (~v241(constB0)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21614,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB0) | v245(constB0) | (~v241(constB0))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21613, 21612])).
% 83.42/53.00 tff(21615,plain,
% 83.42/53.00 (~v241(constB0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21614, 4905, 21611, 21607])).
% 83.42/53.00 tff(21616,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB0, constB1)) | v241(constB0) | (~v243(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB0, constB1)) | v241(constB0) | (~v243(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21617,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB0, constB1)) | v241(constB0) | (~v243(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21618,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB0, constB1)) | v241(constB0) | (~v243(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21617, 21616])).
% 83.42/53.00 tff(21619,plain,
% 83.42/53.00 (v241(constB0) | (~v243(constB1))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21618, 4920, 56])).
% 83.42/53.00 tff(21620,plain,
% 83.42/53.00 (~v243(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21619, 21615])).
% 83.42/53.00 tff(21621,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB1) | (~v302(constB1)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB1) | (~v302(constB1)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21622,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB1) | (~v302(constB1)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21623,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB1) | (~v302(constB1))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21622, 21621])).
% 83.42/53.00 tff(21624,plain,
% 83.42/53.00 (~v302(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21623, 5060, 21620])).
% 83.42/53.00 tff(21625,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB1) | v292(constB1) | v290(constB1))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB1) | v292(constB1) | v290(constB1))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21626,plain,
% 83.42/53.00 ((v292(constB1) | v302(constB1) | v290(constB1)) <=> (v302(constB1) | v292(constB1) | v290(constB1))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21627,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB1) | v302(constB1) | v290(constB1))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB1) | v292(constB1) | v290(constB1)))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21626])).
% 83.42/53.00 tff(21628,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB1) | v302(constB1) | v290(constB1))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB1) | v292(constB1) | v290(constB1))),
% 83.42/53.00 inference(transitivity,[status(thm)],[21627, 21625])).
% 83.42/53.00 tff(21629,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB1) | v302(constB1) | v290(constB1))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21630,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB1) | v292(constB1) | v290(constB1)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 83.42/53.00 tff(21631,plain,
% 83.42/53.00 (v290(constB1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21630, 5074, 21624, 21600])).
% 83.42/53.00 tff(21632,plain,
% 83.42/53.00 ($false),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21631, 21541])).
% 83.42/53.00 tff(21633,plain,((~(constB1 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.42/53.00 tff(21634,plain,
% 83.42/53.00 (~(constB1 = sK_VarCurr)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21633, 5241])).
% 83.42/53.00 tff(21635,assumption,(constB29 = sK_VarCurr), introduced(assumption)).
% 83.42/53.00 tff(21636,plain,
% 83.42/53.00 (v290(constB29) <=> v290(sK_VarCurr)),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21635])).
% 83.42/53.00 tff(21637,plain,
% 83.42/53.00 (v290(sK_VarCurr) <=> v290(constB29)),
% 83.42/53.00 inference(symmetry,[status(thm)],[21636])).
% 83.42/53.00 tff(21638,plain,
% 83.42/53.00 ((~v290(sK_VarCurr)) <=> (~v290(constB29))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21637])).
% 83.42/53.00 tff(21639,plain,
% 83.42/53.00 (~v290(constB29)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[5241, 21638])).
% 83.42/53.00 tff(21640,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21641,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB29, 1)) | v88(constB29, 1))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21642,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB29, 1)) | v88(constB29, 1)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21641, 21640])).
% 83.42/53.00 tff(21643,plain,
% 83.42/53.00 (v88(constB29, 1)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21642, 3727, 5408])).
% 83.42/53.00 tff(21644,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21645,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB29, 2)) | v90(constB29, 2))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21646,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB29, 2)) | v90(constB29, 2)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21645, 21644])).
% 83.42/53.00 tff(21647,plain,
% 83.42/53.00 (~v88(constB29, 2)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21646, 3360, 5452])).
% 83.42/53.00 tff(21648,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21649,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB29, 0)) | v90(constB29, 0))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21650,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB29, 0)) | v90(constB29, 0)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 83.42/53.00 tff(21651,plain,
% 83.42/53.00 (~v88(constB29, 0)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21650, 3705, 5499])).
% 83.42/53.00 tff(21652,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21653,plain,
% 83.42/53.00 ((v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29)) <=> ((~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21654,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29)))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21653])).
% 83.42/53.00 tff(21655,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29))),
% 83.42/53.00 inference(transitivity,[status(thm)],[21654, 21652])).
% 83.42/53.00 tff(21656,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB29, 2) | (~v88(constB29, 1)) | v88(constB29, 0) | v143(constB29))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21657,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB29, 1)) | v88(constB29, 2) | v88(constB29, 0) | v143(constB29)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 83.42/53.00 tff(21658,plain,
% 83.42/53.00 ((~v88(constB29, 1)) | v88(constB29, 2) | v143(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21657, 15886, 21651])).
% 83.42/53.00 tff(21659,plain,
% 83.42/53.00 (v143(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21658, 21647, 21643])).
% 83.42/53.00 tff(21660,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21661,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB29)) | v142(constB29))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21662,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB29)) | v142(constB29)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 83.42/53.00 tff(21663,plain,
% 83.42/53.00 (v142(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21662, 15900, 21659])).
% 83.42/53.00 tff(21664,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB29)) | v148(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB29)) | v148(constB29))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21665,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB29)) | v148(constB29))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21666,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB29)) | v148(constB29)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21665, 21664])).
% 83.42/53.00 tff(21667,plain,
% 83.42/53.00 (v148(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21666, 15914, 21663])).
% 83.42/53.00 tff(21668,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB29)) | v227(constB29))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB29)) | v227(constB29))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21669,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB29)) | v227(constB29))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21670,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB29)) | v227(constB29)),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 83.42/53.00 tff(21671,plain,
% 83.42/53.00 (v227(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21670, 3766, 21663])).
% 83.42/53.00 tff(21672,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB29) | (~v227(constB29)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB29) | (~v227(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21673,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB29) | (~v227(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21674,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB29) | (~v227(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 83.42/53.00 tff(21675,plain,
% 83.42/53.00 (v226(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21674, 3517, 21671])).
% 83.42/53.00 tff(21676,plain,
% 83.42/53.00 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB29) | (~v148(constB29)) | (~v226(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB29) | (~v148(constB29)) | (~v226(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21677,plain,
% 83.42/53.00 (((~v148(constB29)) | v86(constB29) | (~v226(constB29))) <=> (v86(constB29) | (~v148(constB29)) | (~v226(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21678,plain,
% 83.42/53.00 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v226(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB29) | (~v148(constB29)) | (~v226(constB29))))),
% 83.42/53.00 inference(monotonicity,[status(thm)],[21677])).
% 83.42/53.00 tff(21679,plain,
% 83.42/53.00 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v226(constB29)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB29) | (~v148(constB29)) | (~v226(constB29)))),
% 83.42/53.00 inference(transitivity,[status(thm)],[21678, 21676])).
% 83.42/53.00 tff(21680,plain,
% 83.42/53.00 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB29)) | v86(constB29) | (~v226(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21681,plain,
% 83.42/53.00 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB29) | (~v148(constB29)) | (~v226(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 83.42/53.00 tff(21682,plain,
% 83.42/53.00 (v86(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21681, 15936, 21675, 21667])).
% 83.42/53.00 tff(21683,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB29)) | (~v86(constB29)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB29)) | (~v86(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21684,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB29)) | (~v86(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21685,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB29)) | (~v86(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 83.42/53.00 tff(21686,plain,
% 83.42/53.00 (~v295(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21685, 15950, 21682])).
% 83.42/53.00 tff(21687,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB29) | (~v294(constB29)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB29) | (~v294(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21688,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB29) | (~v294(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21689,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB29) | (~v294(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 83.42/53.00 tff(21690,plain,
% 83.42/53.00 (~v294(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21689, 15964, 21686])).
% 83.42/53.00 tff(21691,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB29) | (~v293(constB29)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB29) | (~v293(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21692,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB29) | (~v293(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21693,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB29) | (~v293(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 83.42/53.00 tff(21694,plain,
% 83.42/53.00 (~v293(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21693, 15978, 21690])).
% 83.42/53.00 tff(21695,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB27) | (~v215(constB27)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB27) | (~v215(constB27)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21696,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB27) | (~v215(constB27)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21697,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB27) | (~v215(constB27))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 83.42/53.00 tff(21698,plain,
% 83.42/53.00 (~v215(constB27)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21697, 4427, 4403])).
% 83.42/53.00 tff(21699,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB27) | (~v214(constB27)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB27) | (~v214(constB27)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21700,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB27) | (~v214(constB27)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21701,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB27) | (~v214(constB27))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21700, 21699])).
% 83.42/53.00 tff(21702,plain,
% 83.42/53.00 (~v214(constB27)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21701, 4637, 4757])).
% 83.42/53.00 tff(21703,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB27) | v215(constB27) | (~v211(constB27)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB27) | v215(constB27) | (~v211(constB27)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21704,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB27) | v215(constB27) | (~v211(constB27)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21705,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB27) | v215(constB27) | (~v211(constB27))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 83.42/53.00 tff(21706,plain,
% 83.42/53.00 (v215(constB27) | (~v211(constB27))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21705, 4607, 21702])).
% 83.42/53.00 tff(21707,plain,
% 83.42/53.00 (~v211(constB27)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21706, 21698])).
% 83.42/53.00 tff(21708,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB27, constB28)) | v211(constB27) | (~v213(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB27, constB28)) | v211(constB27) | (~v213(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21709,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB27, constB28)) | v211(constB27) | (~v213(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21710,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB27, constB28)) | v211(constB27) | (~v213(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21709, 21708])).
% 83.42/53.00 tff(21711,plain,
% 83.42/53.00 (v211(constB27) | (~v213(constB28))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21710, 4622, 5274])).
% 83.42/53.00 tff(21712,plain,
% 83.42/53.00 (~v213(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21711, 21707])).
% 83.42/53.00 tff(21713,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB28) | (~v214(constB28)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB28) | (~v214(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21714,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB28) | (~v214(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21715,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB28) | (~v214(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21714, 21713])).
% 83.42/53.00 tff(21716,plain,
% 83.42/53.00 (~v214(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21715, 4637, 21712])).
% 83.42/53.00 tff(21717,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB28)) | (~v184(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB28)) | (~v184(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21718,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB28)) | (~v184(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21719,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB28)) | (~v184(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 83.42/53.00 tff(21720,plain,
% 83.42/53.00 (~v184(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21719, 3901, 5359])).
% 83.42/53.00 tff(21721,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB28) | (~v217(constB28)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB28) | (~v217(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21722,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB28) | (~v217(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21723,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB28) | (~v217(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 83.42/53.00 tff(21724,plain,
% 83.42/53.00 (~v217(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21723, 4651, 21720])).
% 83.42/53.00 tff(21725,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB28) | (~v216(constB28)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB28) | (~v216(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21726,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB28) | (~v216(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21727,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB28) | (~v216(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 83.42/53.00 tff(21728,plain,
% 83.42/53.00 (~v216(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21727, 4565, 21724])).
% 83.42/53.00 tff(21729,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB28) | (~v215(constB28)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB28) | (~v215(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21730,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB28) | (~v215(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21731,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB28) | (~v215(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21730, 21729])).
% 83.42/53.00 tff(21732,plain,
% 83.42/53.00 (~v215(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21731, 4579, 21728])).
% 83.42/53.00 tff(21733,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB28) | v215(constB28) | (~v211(constB28)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB28) | v215(constB28) | (~v211(constB28)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21734,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB28) | v215(constB28) | (~v211(constB28)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21735,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB28) | v215(constB28) | (~v211(constB28))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 83.42/53.00 tff(21736,plain,
% 83.42/53.00 (v214(constB28) | (~v211(constB28))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21735, 4607, 21732])).
% 83.42/53.00 tff(21737,plain,
% 83.42/53.00 (~v211(constB28)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21736, 21716])).
% 83.42/53.00 tff(21738,plain,
% 83.42/53.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB28, constB29)) | v211(constB28) | (~v213(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB28, constB29)) | v211(constB28) | (~v213(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21739,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB28, constB29)) | v211(constB28) | (~v213(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21740,plain,
% 83.42/53.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB28, constB29)) | v211(constB28) | (~v213(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21739, 21738])).
% 83.42/53.00 tff(21741,plain,
% 83.42/53.00 (v211(constB28) | (~v213(constB29))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21740, 4622, 5387])).
% 83.42/53.00 tff(21742,plain,
% 83.42/53.00 (~v213(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21741, 21737])).
% 83.42/53.00 tff(21743,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB29) | (~v297(constB29)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB29) | (~v297(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21744,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB29) | (~v297(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21745,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB29) | (~v297(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 83.42/53.00 tff(21746,plain,
% 83.42/53.00 (~v297(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21745, 4767, 21742])).
% 83.42/53.00 tff(21747,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB29) | v297(constB29) | (~v292(constB29)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB29) | v297(constB29) | (~v292(constB29)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21748,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB29) | v297(constB29) | (~v292(constB29)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21749,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB29) | v297(constB29) | (~v292(constB29))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 83.42/53.00 tff(21750,plain,
% 83.42/53.00 (v293(constB29) | (~v292(constB29))),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21749, 4781, 21746])).
% 83.42/53.00 tff(21751,plain,
% 83.42/53.00 (~v292(constB29)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21750, 21694])).
% 83.42/53.00 tff(21752,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB27) | (~v245(constB27)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB27) | (~v245(constB27)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21753,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB27) | (~v245(constB27)))),
% 83.42/53.00 inference(quant_inst,[status(thm)],[])).
% 83.42/53.00 tff(21754,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB27) | (~v245(constB27))),
% 83.42/53.00 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 83.42/53.00 tff(21755,plain,
% 83.42/53.00 (~v245(constB27)),
% 83.42/53.00 inference(unit_resolution,[status(thm)],[21754, 4796, 4757])).
% 83.42/53.00 tff(21756,plain,
% 83.42/53.00 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB27) | (~v244(constB27)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB27) | (~v244(constB27)))),
% 83.42/53.00 inference(rewrite,[status(thm)],[])).
% 83.42/53.00 tff(21757,plain,
% 83.42/53.00 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB27) | (~v244(constB27)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21758,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB27) | (~v244(constB27))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21757, 21756])).
% 83.42/53.01 tff(21759,plain,
% 83.42/53.01 (~v244(constB27)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21758, 4935, 5050])).
% 83.42/53.01 tff(21760,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB27) | v245(constB27) | (~v241(constB27)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB27) | v245(constB27) | (~v241(constB27)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21761,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB27) | v245(constB27) | (~v241(constB27)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21762,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB27) | v245(constB27) | (~v241(constB27))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21761, 21760])).
% 83.42/53.01 tff(21763,plain,
% 83.42/53.01 (v245(constB27) | (~v241(constB27))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21762, 4905, 21759])).
% 83.42/53.01 tff(21764,plain,
% 83.42/53.01 (~v241(constB27)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21763, 21755])).
% 83.42/53.01 tff(21765,plain,
% 83.42/53.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB27, constB28)) | v241(constB27) | (~v243(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB27, constB28)) | v241(constB27) | (~v243(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21766,plain,
% 83.42/53.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB27, constB28)) | v241(constB27) | (~v243(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21767,plain,
% 83.42/53.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB27, constB28)) | v241(constB27) | (~v243(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 83.42/53.01 tff(21768,plain,
% 83.42/53.01 (v241(constB27) | (~v243(constB28))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21767, 4920, 5274])).
% 83.42/53.01 tff(21769,plain,
% 83.42/53.01 (~v243(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21768, 21764])).
% 83.42/53.01 tff(21770,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB28) | (~v244(constB28)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB28) | (~v244(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21771,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB28) | (~v244(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21772,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB28) | (~v244(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 83.42/53.01 tff(21773,plain,
% 83.42/53.01 (~v244(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21772, 4935, 21769])).
% 83.42/53.01 tff(21774,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB28) | (~v247(constB28)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB28) | (~v247(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21775,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB28) | (~v247(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21776,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB28) | (~v247(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21775, 21774])).
% 83.42/53.01 tff(21777,plain,
% 83.42/53.01 (~v247(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21776, 4949, 21720])).
% 83.42/53.01 tff(21778,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB28) | (~v246(constB28)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB28) | (~v246(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21779,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB28) | (~v246(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21780,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB28) | (~v246(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21779, 21778])).
% 83.42/53.01 tff(21781,plain,
% 83.42/53.01 (~v246(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21780, 4863, 21777])).
% 83.42/53.01 tff(21782,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB28) | (~v245(constB28)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB28) | (~v245(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21783,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB28) | (~v245(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21784,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB28) | (~v245(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 83.42/53.01 tff(21785,plain,
% 83.42/53.01 (~v245(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21784, 4877, 21781])).
% 83.42/53.01 tff(21786,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB28) | v245(constB28) | (~v241(constB28)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB28) | v245(constB28) | (~v241(constB28)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21787,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB28) | v245(constB28) | (~v241(constB28)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21788,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB28) | v245(constB28) | (~v241(constB28))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21787, 21786])).
% 83.42/53.01 tff(21789,plain,
% 83.42/53.01 (v244(constB28) | (~v241(constB28))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21788, 4905, 21785])).
% 83.42/53.01 tff(21790,plain,
% 83.42/53.01 (~v241(constB28)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21789, 21773])).
% 83.42/53.01 tff(21791,plain,
% 83.42/53.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB28, constB29)) | v241(constB28) | (~v243(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB28, constB29)) | v241(constB28) | (~v243(constB29)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21792,plain,
% 83.42/53.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB28, constB29)) | v241(constB28) | (~v243(constB29)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21793,plain,
% 83.42/53.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB28, constB29)) | v241(constB28) | (~v243(constB29))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21792, 21791])).
% 83.42/53.01 tff(21794,plain,
% 83.42/53.01 (v241(constB28) | (~v243(constB29))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21793, 4920, 5387])).
% 83.42/53.01 tff(21795,plain,
% 83.42/53.01 (~v243(constB29)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21794, 21790])).
% 83.42/53.01 tff(21796,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB29) | (~v302(constB29)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB29) | (~v302(constB29)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21797,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB29) | (~v302(constB29)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21798,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB29) | (~v302(constB29))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 83.42/53.01 tff(21799,plain,
% 83.42/53.01 (~v302(constB29)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21798, 5060, 21795])).
% 83.42/53.01 tff(21800,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB29) | v302(constB29) | v292(constB29))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB29) | v302(constB29) | v292(constB29))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21801,plain,
% 83.42/53.01 ((v292(constB29) | v302(constB29) | v290(constB29)) <=> (v290(constB29) | v302(constB29) | v292(constB29))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21802,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB29) | v302(constB29) | v290(constB29))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v290(constB29) | v302(constB29) | v292(constB29)))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21801])).
% 83.42/53.01 tff(21803,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB29) | v302(constB29) | v290(constB29))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB29) | v302(constB29) | v292(constB29))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21802, 21800])).
% 83.42/53.01 tff(21804,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB29) | v302(constB29) | v290(constB29))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21805,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v290(constB29) | v302(constB29) | v292(constB29)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 83.42/53.01 tff(21806,plain,
% 83.42/53.01 (v290(constB29) | v292(constB29)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21805, 5074, 21799])).
% 83.42/53.01 tff(21807,plain,
% 83.42/53.01 (v290(constB29)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21806, 21751])).
% 83.42/53.01 tff(21808,plain,
% 83.42/53.01 ($false),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21807, 21639])).
% 83.42/53.01 tff(21809,plain,((~(constB29 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.42/53.01 tff(21810,plain,
% 83.42/53.01 (~(constB29 = sK_VarCurr)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21809, 5241])).
% 83.42/53.01 tff(21811,assumption,(constB105 = sK_VarCurr), introduced(assumption)).
% 83.42/53.01 tff(21812,plain,
% 83.42/53.01 (v290(constB105) <=> v290(sK_VarCurr)),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21811])).
% 83.42/53.01 tff(21813,plain,
% 83.42/53.01 (v290(sK_VarCurr) <=> v290(constB105)),
% 83.42/53.01 inference(symmetry,[status(thm)],[21812])).
% 83.42/53.01 tff(21814,plain,
% 83.42/53.01 ((~v290(sK_VarCurr)) <=> (~v290(constB105))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21813])).
% 83.42/53.01 tff(21815,plain,
% 83.42/53.01 (~v290(constB105)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[5241, 21814])).
% 83.42/53.01 tff(21816,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21817,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21818,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21817, 21816])).
% 83.42/53.01 tff(21819,plain,
% 83.42/53.01 (v88(constB105, 2)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21818, 3716, 15010])).
% 83.42/53.01 tff(21820,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21821,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21822,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 83.42/53.01 tff(21823,plain,
% 83.42/53.01 (~v139(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21822, 4139, 21819])).
% 83.42/53.01 tff(21824,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21825,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21826,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB105)) | (~v88(constB105, 2))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21825, 21824])).
% 83.42/53.01 tff(21827,plain,
% 83.42/53.01 (~v140(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21826, 4044, 21819])).
% 83.42/53.01 tff(21828,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v229(constB105)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB105) | v140(constB105) | (~v229(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21829,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v229(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21830,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB105) | v140(constB105) | (~v229(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21829, 21828])).
% 83.42/53.01 tff(21831,plain,
% 83.42/53.01 (~v229(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21830, 4441, 21827, 21823])).
% 83.42/53.01 tff(21832,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21833,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21834,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB105)) | (~v88(constB105, 2))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 83.42/53.01 tff(21835,plain,
% 83.42/53.01 (~v141(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21834, 4452, 21819])).
% 83.42/53.01 tff(21836,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB105) | v229(constB105) | (~v228(constB105)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB105) | v229(constB105) | (~v228(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21837,plain,
% 83.42/53.01 ((v141(constB105) | (~v228(constB105)) | v229(constB105)) <=> (v141(constB105) | v229(constB105) | (~v228(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21838,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB105) | (~v228(constB105)) | v229(constB105))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB105) | v229(constB105) | (~v228(constB105))))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21837])).
% 83.42/53.01 tff(21839,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB105) | (~v228(constB105)) | v229(constB105))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB105) | v229(constB105) | (~v228(constB105)))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21838, 21836])).
% 83.42/53.01 tff(21840,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB105) | (~v228(constB105)) | v229(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21841,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB105) | v229(constB105) | (~v228(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21840, 21839])).
% 83.42/53.01 tff(21842,plain,
% 83.42/53.01 (v229(constB105) | (~v228(constB105))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21841, 4466, 21835])).
% 83.42/53.01 tff(21843,plain,
% 83.42/53.01 (~v228(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21842, 21831])).
% 83.42/53.01 tff(21844,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21845,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21846,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21845, 21844])).
% 83.42/53.01 tff(21847,plain,
% 83.42/53.01 (~v88(constB105, 1)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21846, 3405, 15044])).
% 83.42/53.01 tff(21848,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB105)) | v88(constB105, 1))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB105)) | v88(constB105, 1))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21849,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB105)) | v88(constB105, 1))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21850,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB105)) | v88(constB105, 1)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 83.42/53.01 tff(21851,plain,
% 83.42/53.01 (~v144(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21850, 4478, 21847])).
% 83.42/53.01 tff(21852,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21853,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB105)) | (~v88(constB105, 2)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21854,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB105)) | (~v88(constB105, 2))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 83.42/53.01 tff(21855,plain,
% 83.42/53.01 (~v143(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21854, 4489, 21819])).
% 83.42/53.01 tff(21856,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21857,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21858,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 83.42/53.01 tff(21859,plain,
% 83.42/53.01 (~v142(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21858, 4503, 21855, 21851])).
% 83.42/53.01 tff(21860,plain,
% 83.42/53.01 (^[VarCurr: state_type] : refl((v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21861,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21860])).
% 83.42/53.01 tff(21862,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21863,plain,
% 83.42/53.01 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v227(VarCurr)) | v142(VarCurr)) <=> (v142(VarCurr) | (~v227(VarCurr)))), ((((~v227(VarCurr)) | v142(VarCurr)) | v228(VarCurr)) <=> ((v142(VarCurr) | (~v227(VarCurr))) | v228(VarCurr)))), rewrite(((v142(VarCurr) | (~v227(VarCurr))) | v228(VarCurr)) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))), ((((~v227(VarCurr)) | v142(VarCurr)) | v228(VarCurr)) <=> (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21864,plain,
% 83.42/53.01 (![VarCurr: state_type] : (((~v227(VarCurr)) | v142(VarCurr)) | v228(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21863])).
% 83.42/53.01 tff(21865,axiom,(![VarCurr: state_type] : (((~v227(VarCurr)) | v142(VarCurr)) | v228(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_1_3')).
% 83.42/53.01 tff(21866,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 83.42/53.01 tff(21867,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21866, 21862])).
% 83.42/53.01 tff(21868,plain,(
% 83.42/53.01 ![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21867])).
% 83.42/53.01 tff(21869,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21868, 21861])).
% 83.42/53.01 tff(21870,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB105) | v228(constB105) | (~v227(constB105)))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB105) | v228(constB105) | (~v227(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21871,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB105) | v228(constB105) | (~v227(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21872,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB105) | v228(constB105) | (~v227(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 83.42/53.01 tff(21873,plain,
% 83.42/53.01 (~v227(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21872, 21869, 21859, 21843])).
% 83.42/53.01 tff(21874,plain,
% 83.42/53.01 (^[VarCurr: state_type] : refl((v227(VarCurr) | v230(VarCurr)) <=> (v227(VarCurr) | v230(VarCurr)))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21875,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr)) <=> ![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21874])).
% 83.42/53.01 tff(21876,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr)) <=> ![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21877,axiom,(![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_5_1_1_1')).
% 83.42/53.01 tff(21878,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21877, 21876])).
% 83.42/53.01 tff(21879,plain,(
% 83.42/53.01 ![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21878])).
% 83.42/53.01 tff(21880,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21879, 21875])).
% 83.42/53.01 tff(21881,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB105) | v230(constB105))) <=> ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB105) | v230(constB105))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21882,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB105) | v230(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21883,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB105) | v230(constB105)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 83.42/53.01 tff(21884,plain,
% 83.42/53.01 (v230(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21883, 21880, 21873])).
% 83.42/53.01 tff(21885,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21886,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21887,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 83.42/53.01 tff(21888,plain,
% 83.42/53.01 (~v88(constB105, 0)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21887, 3705, 15078])).
% 83.42/53.01 tff(21889,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21890,plain,
% 83.42/53.01 (((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105)) <=> (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21891,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105)))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21890])).
% 83.42/53.01 tff(21892,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21891, 21889])).
% 83.42/53.01 tff(21893,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21894,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 83.42/53.01 tff(21895,plain,
% 83.42/53.01 (v146(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21894, 4169, 21819, 21888, 21847])).
% 83.42/53.01 tff(21896,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB105)) | v145(constB105))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21897,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21898,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB105)) | v145(constB105)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 83.42/53.01 tff(21899,plain,
% 83.42/53.01 (v145(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21898, 4183, 21895])).
% 83.42/53.01 tff(21900,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB105) | (~v145(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21901,plain,
% 83.42/53.01 (((~v145(constB105)) | v226(constB105)) <=> (v226(constB105) | (~v145(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21902,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB105)) | v226(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB105) | (~v145(constB105))))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21901])).
% 83.42/53.01 tff(21903,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB105)) | v226(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB105) | (~v145(constB105)))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21902, 21900])).
% 83.42/53.01 tff(21904,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB105)) | v226(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21905,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB105) | (~v145(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 83.42/53.01 tff(21906,plain,
% 83.42/53.01 (v226(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21905, 4106, 21899])).
% 83.42/53.01 tff(21907,plain,
% 83.42/53.01 (^[VarNext: state_type] : refl(((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21908,plain,
% 83.42/53.01 (![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21907])).
% 83.42/53.01 tff(21909,plain,
% 83.42/53.01 (![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21910,plain,
% 83.42/53.01 (^[VarNext: state_type] : rewrite((((~v226(VarNext)) | (~v230(VarNext))) | v223(VarNext)) <=> ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext)))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21911,plain,
% 83.42/53.01 (![VarNext: state_type] : (((~v226(VarNext)) | (~v230(VarNext))) | v223(VarNext)) <=> ![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21910])).
% 83.42/53.01 tff(21912,axiom,(![VarNext: state_type] : (((~v226(VarNext)) | (~v230(VarNext))) | v223(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_9_1')).
% 83.42/53.01 tff(21913,plain,
% 83.42/53.01 (![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 83.42/53.01 tff(21914,plain,
% 83.42/53.01 (![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21913, 21909])).
% 83.42/53.01 tff(21915,plain,(
% 83.42/53.01 ![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21914])).
% 83.42/53.01 tff(21916,plain,
% 83.42/53.01 (![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21915, 21908])).
% 83.42/53.01 tff(21917,plain,
% 83.42/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB105) | (~v226(constB105)) | (~v230(constB105)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB105) | (~v226(constB105)) | (~v230(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21918,plain,
% 83.42/53.01 (((~v226(constB105)) | (~v230(constB105)) | v223(constB105)) <=> (v223(constB105) | (~v226(constB105)) | (~v230(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21919,plain,
% 83.42/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB105)) | (~v230(constB105)) | v223(constB105))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB105) | (~v226(constB105)) | (~v230(constB105))))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21918])).
% 83.42/53.01 tff(21920,plain,
% 83.42/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB105)) | (~v230(constB105)) | v223(constB105))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB105) | (~v226(constB105)) | (~v230(constB105)))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21919, 21917])).
% 83.42/53.01 tff(21921,plain,
% 83.42/53.01 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB105)) | (~v230(constB105)) | v223(constB105))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21922,plain,
% 83.42/53.01 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB105) | (~v226(constB105)) | (~v230(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 83.42/53.01 tff(21923,plain,
% 83.42/53.01 (v223(constB105) | (~v230(constB105))),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21922, 21916, 21906])).
% 83.42/53.01 tff(21924,plain,
% 83.42/53.01 (v223(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21923, 21884])).
% 83.42/53.01 tff(21925,plain,
% 83.42/53.01 (^[VarCurr: state_type] : refl(((~v223(VarCurr)) | (~v304(VarCurr))) <=> ((~v223(VarCurr)) | (~v304(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21926,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr))) <=> ![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21925])).
% 83.42/53.01 tff(21927,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr))) <=> ![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21928,plain,
% 83.42/53.01 (^[VarCurr: state_type] : rewrite(((~v304(VarCurr)) | (~v223(VarCurr))) <=> ((~v223(VarCurr)) | (~v304(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21929,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v304(VarCurr)) | (~v223(VarCurr))) <=> ![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21928])).
% 83.42/53.01 tff(21930,axiom,(![VarCurr: state_type] : ((~v304(VarCurr)) | (~v223(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_88_1_1_1_1')).
% 83.42/53.01 tff(21931,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 83.42/53.01 tff(21932,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21931, 21927])).
% 83.42/53.01 tff(21933,plain,(
% 83.42/53.01 ![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21932])).
% 83.42/53.01 tff(21934,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21933, 21926])).
% 83.42/53.01 tff(21935,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB105)) | (~v304(constB105)))) <=> ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB105)) | (~v304(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21936,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB105)) | (~v304(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21937,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB105)) | (~v304(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 83.42/53.01 tff(21938,plain,
% 83.42/53.01 (~v304(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21937, 21934, 21924])).
% 83.42/53.01 tff(21939,plain,
% 83.42/53.01 (^[VarCurr: state_type] : refl((v304(VarCurr) | (~v303(VarCurr))) <=> (v304(VarCurr) | (~v303(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21940,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr))) <=> ![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21939])).
% 83.42/53.01 tff(21941,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr))) <=> ![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21942,plain,
% 83.42/53.01 (^[VarCurr: state_type] : rewrite(((~v303(VarCurr)) | v304(VarCurr)) <=> (v304(VarCurr) | (~v303(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21943,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v303(VarCurr)) | v304(VarCurr)) <=> ![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21942])).
% 83.42/53.01 tff(21944,axiom,(![VarCurr: state_type] : ((~v303(VarCurr)) | v304(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_89_1_1_1_1')).
% 83.42/53.01 tff(21945,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 83.42/53.01 tff(21946,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21945, 21941])).
% 83.42/53.01 tff(21947,plain,(
% 83.42/53.01 ![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21946])).
% 83.42/53.01 tff(21948,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21947, 21940])).
% 83.42/53.01 tff(21949,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB105) | (~v303(constB105)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB105) | (~v303(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21950,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB105) | (~v303(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21951,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB105) | (~v303(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21950, 21949])).
% 83.42/53.01 tff(21952,plain,
% 83.42/53.01 (~v303(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21951, 21948, 21938])).
% 83.42/53.01 tff(21953,plain,
% 83.42/53.01 (^[VarCurr: state_type] : refl((v303(VarCurr) | (~v302(VarCurr))) <=> (v303(VarCurr) | (~v302(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21954,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21953])).
% 83.42/53.01 tff(21955,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr))) <=> ![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21956,plain,
% 83.42/53.01 (^[VarCurr: state_type] : rewrite(((~v302(VarCurr)) | v303(VarCurr)) <=> (v303(VarCurr) | (~v302(VarCurr))))),
% 83.42/53.01 inference(bind,[status(th)],[])).
% 83.42/53.01 tff(21957,plain,
% 83.42/53.01 (![VarCurr: state_type] : ((~v302(VarCurr)) | v303(VarCurr)) <=> ![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(quant_intro,[status(thm)],[21956])).
% 83.42/53.01 tff(21958,axiom,(![VarCurr: state_type] : ((~v302(VarCurr)) | v303(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_90_1_1_1_1')).
% 83.42/53.01 tff(21959,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 83.42/53.01 tff(21960,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21959, 21955])).
% 83.42/53.01 tff(21961,plain,(
% 83.42/53.01 ![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(skolemize,[status(sab)],[21960])).
% 83.42/53.01 tff(21962,plain,
% 83.42/53.01 (![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21961, 21954])).
% 83.42/53.01 tff(21963,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB105) | (~v302(constB105)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB105) | (~v302(constB105)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21964,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB105) | (~v302(constB105)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21965,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB105) | (~v302(constB105))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 83.42/53.01 tff(21966,plain,
% 83.42/53.01 (~v302(constB105)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21965, 21962, 21952])).
% 83.42/53.01 tff(21967,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21968,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB103, 2)) | v90(constB103, 2))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21969,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB103, 2)) | v90(constB103, 2)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21968, 21967])).
% 83.42/53.01 tff(21970,plain,
% 83.42/53.01 (~v88(constB103, 2)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21969, 3360, 14836])).
% 83.42/53.01 tff(21971,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21972,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB103, 1)) | v88(constB103, 1))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21973,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB103, 1)) | v88(constB103, 1)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21972, 21971])).
% 83.42/53.01 tff(21974,plain,
% 83.42/53.01 (v88(constB103, 1)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21973, 3727, 14859])).
% 83.42/53.01 tff(21975,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21976,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB103, 0)) | v88(constB103, 0))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21977,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB103, 0)) | v88(constB103, 0)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21976, 21975])).
% 83.42/53.01 tff(21978,plain,
% 83.42/53.01 (v88(constB103, 0)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21977, 3447, 14882])).
% 83.42/53.01 tff(21979,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21980,plain,
% 83.42/53.01 ((v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103)) <=> (v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21981,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103)))),
% 83.42/53.01 inference(monotonicity,[status(thm)],[21980])).
% 83.42/53.01 tff(21982,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103))),
% 83.42/53.01 inference(transitivity,[status(thm)],[21981, 21979])).
% 83.42/53.01 tff(21983,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB103, 2) | (~v88(constB103, 1)) | (~v88(constB103, 0)) | v141(constB103))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21984,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB103, 2) | (~v88(constB103, 0)) | (~v88(constB103, 1)) | v141(constB103)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21983, 21982])).
% 83.42/53.01 tff(21985,plain,
% 83.42/53.01 (v141(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21984, 19257, 21978, 21974, 21970])).
% 83.42/53.01 tff(21986,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB103)) | v228(constB103))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB103)) | v228(constB103))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21987,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB103)) | v228(constB103))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21988,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB103)) | v228(constB103)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 83.42/53.01 tff(21989,plain,
% 83.42/53.01 (v228(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21988, 19268, 21985])).
% 83.42/53.01 tff(21990,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB103)) | v227(constB103))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB103)) | v227(constB103))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21991,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB103)) | v227(constB103))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21992,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB103)) | v227(constB103)),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 83.42/53.01 tff(21993,plain,
% 83.42/53.01 (v227(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21992, 3503, 21989])).
% 83.42/53.01 tff(21994,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB103) | (~v227(constB103)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB103) | (~v227(constB103)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21995,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB103) | (~v227(constB103)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(21996,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB103) | (~v227(constB103))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21995, 21994])).
% 83.42/53.01 tff(21997,plain,
% 83.42/53.01 (v226(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[21996, 3517, 21993])).
% 83.42/53.01 tff(21998,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(21999,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB103)) | (~v88(constB103, 1)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(22000,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB103)) | (~v88(constB103, 1))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[21999, 21998])).
% 83.42/53.01 tff(22001,plain,
% 83.42/53.01 (~v140(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[22000, 3969, 21974])).
% 83.42/53.01 tff(22002,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(22003,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB103)) | (~v88(constB103, 0)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(22004,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB103)) | (~v88(constB103, 0))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[22003, 22002])).
% 83.42/53.01 tff(22005,plain,
% 83.42/53.01 (~v139(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[22004, 4059, 21978])).
% 83.42/53.01 tff(22006,plain,
% 83.42/53.01 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v168(constB103)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB103) | v140(constB103) | (~v168(constB103)))),
% 83.42/53.01 inference(rewrite,[status(thm)],[])).
% 83.42/53.01 tff(22007,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB103) | v140(constB103) | (~v168(constB103)))),
% 83.42/53.01 inference(quant_inst,[status(thm)],[])).
% 83.42/53.01 tff(22008,plain,
% 83.42/53.01 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB103) | v140(constB103) | (~v168(constB103))),
% 83.42/53.01 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 83.42/53.01 tff(22009,plain,
% 83.42/53.01 (~v168(constB103)),
% 83.42/53.01 inference(unit_resolution,[status(thm)],[22008, 3983, 22005, 22001])).
% 83.42/53.01 tff(22010,plain,
% 83.42/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB103)) | v168(constB103) | (~v226(constB103)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | v168(constB103) | (~v226(constB103)))),
% 83.45/53.01 inference(rewrite,[status(thm)],[])).
% 83.45/53.01 tff(22011,plain,
% 83.45/53.01 (((~v226(constB103)) | v168(constB103) | (~v161(constB103))) <=> ((~v161(constB103)) | v168(constB103) | (~v226(constB103)))),
% 83.45/53.01 inference(rewrite,[status(thm)],[])).
% 83.45/53.01 tff(22012,plain,
% 83.45/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB103)) | v168(constB103) | (~v161(constB103)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB103)) | v168(constB103) | (~v226(constB103))))),
% 83.45/53.01 inference(monotonicity,[status(thm)],[22011])).
% 83.45/53.01 tff(22013,plain,
% 83.45/53.01 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB103)) | v168(constB103) | (~v161(constB103)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | v168(constB103) | (~v226(constB103)))),
% 83.45/53.01 inference(transitivity,[status(thm)],[22012, 22010])).
% 83.45/53.01 tff(22014,plain,
% 83.45/53.01 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB103)) | v168(constB103) | (~v161(constB103)))),
% 83.45/53.01 inference(quant_inst,[status(thm)],[])).
% 83.45/53.01 tff(22015,plain,
% 83.45/53.01 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB103)) | v168(constB103) | (~v226(constB103))),
% 83.45/53.01 inference(modus_ponens,[status(thm)],[22014, 22013])).
% 83.45/53.01 tff(22016,plain,
% 83.45/53.01 ((~v161(constB103)) | (~v226(constB103))),
% 83.45/53.01 inference(unit_resolution,[status(thm)],[22015, 3997, 22009])).
% 83.45/53.01 tff(22017,plain,
% 83.45/53.01 (~v161(constB103)),
% 83.45/53.01 inference(unit_resolution,[status(thm)],[22016, 21997])).
% 83.45/53.01 tff(22018,plain,
% 83.45/53.01 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB103) | (~v187(constB103)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB103) | (~v187(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22019,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB103) | (~v187(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22020,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB103) | (~v187(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 83.45/53.02 tff(22021,plain,
% 83.45/53.02 (~v187(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22020, 4015, 22017])).
% 83.45/53.02 tff(22022,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB103) | (~v185(constB103)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB103) | (~v185(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22023,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB103) | (~v185(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22024,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB103) | (~v185(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22023, 22022])).
% 83.45/53.02 tff(22025,plain,
% 83.45/53.02 (~v185(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22024, 4029, 22021])).
% 83.45/53.02 tff(22026,assumption,(v18(constB104)), introduced(assumption)).
% 83.45/53.02 tff(22027,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB104))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22028,plain,
% 83.45/53.02 ($false),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22027, 3600, 22026])).
% 83.45/53.02 tff(22029,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.02 tff(22030,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22031,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22032,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22031, 22030])).
% 83.45/53.02 tff(22033,plain,
% 83.45/53.02 (v22(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22032, 3613, 14947])).
% 83.45/53.02 tff(22034,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22035,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22036,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22035, 22034])).
% 83.45/53.02 tff(22037,plain,
% 83.45/53.02 (v18(constB104) | (~v19(constB104))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22036, 3627, 22033])).
% 83.45/53.02 tff(22038,plain,
% 83.45/53.02 (~v19(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22037, 22029])).
% 83.45/53.02 tff(22039,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22040,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22041,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 83.45/53.02 tff(22042,plain,
% 83.45/53.02 (v13(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22041, 3639, 22038])).
% 83.45/53.02 tff(22043,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22044,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22045,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 83.45/53.02 tff(22046,plain,
% 83.45/53.02 (v9(constB103) | (~v13(constB104))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22045, 3653, 14927])).
% 83.45/53.02 tff(22047,plain,
% 83.45/53.02 (v9(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22046, 22042])).
% 83.45/53.02 tff(22048,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v184(constB103))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB103) | (~v9(constB103)) | v184(constB103))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22049,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v184(constB103))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22050,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB103) | (~v9(constB103)) | v184(constB103)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 83.45/53.02 tff(22051,plain,
% 83.45/53.02 ((~v9(constB103)) | v184(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22050, 3668, 14665])).
% 83.45/53.02 tff(22052,plain,
% 83.45/53.02 (v184(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22051, 22047])).
% 83.45/53.02 tff(22053,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB103)) | v183(constB103))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB103)) | v183(constB103))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22054,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB103)) | v183(constB103))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22055,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB103)) | v183(constB103)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 83.45/53.02 tff(22056,plain,
% 83.45/53.02 (v183(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22055, 3680, 22052])).
% 83.45/53.02 tff(22057,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB103)) | (~v183(constB103)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB103)) | (~v183(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22058,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB103)) | (~v183(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22059,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB103)) | (~v183(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 83.45/53.02 tff(22060,plain,
% 83.45/53.02 (~v181(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22059, 4247, 22056])).
% 83.45/53.02 tff(22061,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB103) | v185(constB103) | (~v178(constB103)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB103) | v185(constB103) | (~v178(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22062,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB103) | v185(constB103) | (~v178(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22063,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB103) | v185(constB103) | (~v178(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 83.45/53.02 tff(22064,plain,
% 83.45/53.02 (v185(constB103) | (~v178(constB103))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22063, 4261, 22060])).
% 83.45/53.02 tff(22065,plain,
% 83.45/53.02 (~v178(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22064, 22025])).
% 83.45/53.02 tff(22066,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22067,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22068,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB103, constB104)) | v178(constB103) | (~v180(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 83.45/53.02 tff(22069,plain,
% 83.45/53.02 (v178(constB103) | (~v180(constB104))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22068, 4276, 14927])).
% 83.45/53.02 tff(22070,plain,
% 83.45/53.02 (~v180(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22069, 22065])).
% 83.45/53.02 tff(22071,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB104) | (~v181(constB104)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB104) | (~v181(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22072,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB104) | (~v181(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22073,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB104) | (~v181(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22072, 22071])).
% 83.45/53.02 tff(22074,plain,
% 83.45/53.02 (~v181(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22073, 4291, 22070])).
% 83.45/53.02 tff(22075,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB104)) | (~v184(constB104)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB104)) | (~v184(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22076,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB104)) | (~v184(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22077,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB104)) | (~v184(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 83.45/53.02 tff(22078,plain,
% 83.45/53.02 (~v184(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22077, 3901, 14947])).
% 83.45/53.02 tff(22079,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB104) | (~v187(constB104)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB104) | (~v187(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22080,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB104) | (~v187(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22081,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB104) | (~v187(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 83.45/53.02 tff(22082,plain,
% 83.45/53.02 (~v187(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22081, 4309, 22078])).
% 83.45/53.02 tff(22083,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB104) | (~v185(constB104)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB104) | (~v185(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22084,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB104) | (~v185(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22085,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB104) | (~v185(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22084, 22083])).
% 83.45/53.02 tff(22086,plain,
% 83.45/53.02 (~v185(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22085, 4029, 22082])).
% 83.45/53.02 tff(22087,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB104) | v185(constB104) | (~v178(constB104)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB104) | v185(constB104) | (~v178(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22088,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB104) | v185(constB104) | (~v178(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22089,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB104) | v185(constB104) | (~v178(constB104))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 83.45/53.02 tff(22090,plain,
% 83.45/53.02 (v181(constB104) | (~v178(constB104))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22089, 4261, 22086])).
% 83.45/53.02 tff(22091,plain,
% 83.45/53.02 (~v178(constB104)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22090, 22074])).
% 83.45/53.02 tff(22092,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22093,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22094,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB104, constB105)) | v178(constB104) | (~v180(constB105))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 83.45/53.02 tff(22095,plain,
% 83.45/53.02 (v178(constB104) | (~v180(constB105))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22094, 4276, 14989])).
% 83.45/53.02 tff(22096,plain,
% 83.45/53.02 (~v180(constB105)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22095, 22091])).
% 83.45/53.02 tff(22097,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB105) | (~v293(constB105)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB105) | (~v293(constB105)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22098,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB105) | (~v293(constB105)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22099,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB105) | (~v293(constB105))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 83.45/53.02 tff(22100,plain,
% 83.45/53.02 (~v293(constB105)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22099, 4413, 22096])).
% 83.45/53.02 tff(22101,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22102,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB101, 1)) | v88(constB101, 1))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22103,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB101, 1)) | v88(constB101, 1)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 83.45/53.02 tff(22104,plain,
% 83.45/53.02 (v88(constB101, 1)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22103, 3727, 14503])).
% 83.45/53.02 tff(22105,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22106,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB101, 2)) | v90(constB101, 2))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22107,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB101, 2)) | v90(constB101, 2)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 83.45/53.02 tff(22108,plain,
% 83.45/53.02 (~v88(constB101, 2)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22107, 3360, 14534])).
% 83.45/53.02 tff(22109,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22110,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB101, 0)) | v90(constB101, 0))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22111,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB101, 0)) | v90(constB101, 0)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22110, 22109])).
% 83.45/53.02 tff(22112,plain,
% 83.45/53.02 (~v88(constB101, 0)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22111, 3705, 14543])).
% 83.45/53.02 tff(22113,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22114,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22115,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB101, 2) | (~v88(constB101, 1)) | v88(constB101, 0) | v143(constB101)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 83.45/53.02 tff(22116,plain,
% 83.45/53.02 (v88(constB101, 2) | (~v88(constB101, 1)) | v143(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22115, 15886, 22112])).
% 83.45/53.02 tff(22117,plain,
% 83.45/53.02 (v143(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22116, 22108, 22104])).
% 83.45/53.02 tff(22118,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22119,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB101)) | v142(constB101))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22120,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB101)) | v142(constB101)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 83.45/53.02 tff(22121,plain,
% 83.45/53.02 (v142(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22120, 15900, 22117])).
% 83.45/53.02 tff(22122,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB101)) | v227(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB101)) | v227(constB101))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22123,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB101)) | v227(constB101))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22124,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB101)) | v227(constB101)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22123, 22122])).
% 83.45/53.02 tff(22125,plain,
% 83.45/53.02 (v227(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22124, 3766, 22121])).
% 83.45/53.02 tff(22126,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB101) | (~v227(constB101)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB101) | (~v227(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22127,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB101) | (~v227(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22128,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB101) | (~v227(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 83.45/53.02 tff(22129,plain,
% 83.45/53.02 (v226(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22128, 3517, 22125])).
% 83.45/53.02 tff(22130,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22131,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB101)) | (~v88(constB101, 1)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22132,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB101)) | (~v88(constB101, 1))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22131, 22130])).
% 83.45/53.02 tff(22133,plain,
% 83.45/53.02 (~v139(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22132, 3958, 22104])).
% 83.45/53.02 tff(22134,plain,
% 83.45/53.02 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ((~v140(VarCurr)) | v88(VarCurr, 0)))),
% 83.45/53.02 inference(bind,[status(th)],[])).
% 83.45/53.02 tff(22135,plain,
% 83.45/53.02 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 83.45/53.02 inference(quant_intro,[status(thm)],[22134])).
% 83.45/53.02 tff(22136,plain,
% 83.45/53.02 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22137,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 83.45/53.02 tff(22138,plain,
% 83.45/53.02 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 83.45/53.02 tff(22139,plain,(
% 83.45/53.02 ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 83.45/53.02 inference(skolemize,[status(sab)],[22138])).
% 83.45/53.02 tff(22140,plain,
% 83.45/53.02 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22139, 22135])).
% 83.45/53.02 tff(22141,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB101)) | v88(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB101)) | v88(constB101, 0))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22142,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB101)) | v88(constB101, 0))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22143,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB101)) | v88(constB101, 0)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22142, 22141])).
% 83.45/53.02 tff(22144,plain,
% 83.45/53.02 (~v140(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22143, 22140, 22112])).
% 83.45/53.02 tff(22145,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB101) | v140(constB101) | (~v168(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22146,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB101) | v140(constB101) | (~v168(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22147,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB101) | v140(constB101) | (~v168(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22146, 22145])).
% 83.45/53.02 tff(22148,plain,
% 83.45/53.02 (v139(constB101) | (~v168(constB101))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22147, 3983, 22144])).
% 83.45/53.02 tff(22149,plain,
% 83.45/53.02 (~v168(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22148, 22133])).
% 83.45/53.02 tff(22150,plain,
% 83.45/53.02 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v226(constB101)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22151,plain,
% 83.45/53.02 (((~v226(constB101)) | v168(constB101) | (~v161(constB101))) <=> ((~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22152,plain,
% 83.45/53.02 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB101)) | v168(constB101) | (~v161(constB101)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB101)) | v168(constB101) | (~v226(constB101))))),
% 83.45/53.02 inference(monotonicity,[status(thm)],[22151])).
% 83.45/53.02 tff(22153,plain,
% 83.45/53.02 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB101)) | v168(constB101) | (~v161(constB101)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101)))),
% 83.45/53.02 inference(transitivity,[status(thm)],[22152, 22150])).
% 83.45/53.02 tff(22154,plain,
% 83.45/53.02 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB101)) | v168(constB101) | (~v161(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22155,plain,
% 83.45/53.02 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB101)) | v168(constB101) | (~v226(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22154, 22153])).
% 83.45/53.02 tff(22156,plain,
% 83.45/53.02 ((~v161(constB101)) | (~v226(constB101))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22155, 3997, 22149])).
% 83.45/53.02 tff(22157,plain,
% 83.45/53.02 (~v161(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22156, 22129])).
% 83.45/53.02 tff(22158,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22159,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB101) | (~v187(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22160,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB101) | (~v187(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22159, 22158])).
% 83.45/53.02 tff(22161,plain,
% 83.45/53.02 (~v187(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22160, 4015, 22157])).
% 83.45/53.02 tff(22162,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22163,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB101) | (~v185(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22164,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB101) | (~v185(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22163, 22162])).
% 83.45/53.02 tff(22165,plain,
% 83.45/53.02 (~v185(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22164, 4029, 22161])).
% 83.45/53.02 tff(22166,assumption,(v18(constB102)), introduced(assumption)).
% 83.45/53.02 tff(22167,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22168,plain,
% 83.45/53.02 ($false),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22167, 3600, 22166])).
% 83.45/53.02 tff(22169,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.02 tff(22170,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22171,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22172,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 83.45/53.02 tff(22173,plain,
% 83.45/53.02 (v22(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22172, 3613, 14585])).
% 83.45/53.02 tff(22174,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22175,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22176,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22175, 22174])).
% 83.45/53.02 tff(22177,plain,
% 83.45/53.02 (v18(constB102) | (~v19(constB102))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22176, 3627, 22173])).
% 83.45/53.02 tff(22178,plain,
% 83.45/53.02 (~v19(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22177, 22169])).
% 83.45/53.02 tff(22179,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22180,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22181,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 83.45/53.02 tff(22182,plain,
% 83.45/53.02 (v13(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22181, 3639, 22178])).
% 83.45/53.02 tff(22183,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22184,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22185,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22184, 22183])).
% 83.45/53.02 tff(22186,plain,
% 83.45/53.02 (v9(constB101) | (~v13(constB102))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22185, 3653, 14567])).
% 83.45/53.02 tff(22187,plain,
% 83.45/53.02 (v9(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22186, 22182])).
% 83.45/53.02 tff(22188,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22189,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v184(constB101))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22190,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB101) | (~v9(constB101)) | v184(constB101)),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22189, 22188])).
% 83.45/53.02 tff(22191,plain,
% 83.45/53.02 ((~v9(constB101)) | v184(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22190, 3668, 14479])).
% 83.45/53.02 tff(22192,plain,
% 83.45/53.02 (v184(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22191, 22187])).
% 83.45/53.02 tff(22193,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB101) | (~v184(constB101)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB101) | (~v184(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22194,plain,
% 83.45/53.02 (((~v184(constB101)) | v183(constB101)) <=> (v183(constB101) | (~v184(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22195,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB101)) | v183(constB101))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB101) | (~v184(constB101))))),
% 83.45/53.02 inference(monotonicity,[status(thm)],[22194])).
% 83.45/53.02 tff(22196,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB101)) | v183(constB101))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB101) | (~v184(constB101)))),
% 83.45/53.02 inference(transitivity,[status(thm)],[22195, 22193])).
% 83.45/53.02 tff(22197,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB101)) | v183(constB101))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22198,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB101) | (~v184(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22197, 22196])).
% 83.45/53.02 tff(22199,plain,
% 83.45/53.02 (v183(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22198, 3680, 22192])).
% 83.45/53.02 tff(22200,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB101)) | (~v183(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22201,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB101)) | (~v183(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22202,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB101)) | (~v183(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22201, 22200])).
% 83.45/53.02 tff(22203,plain,
% 83.45/53.02 (~v181(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22202, 4247, 22199])).
% 83.45/53.02 tff(22204,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22205,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB101) | v185(constB101) | (~v178(constB101)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22206,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB101) | v185(constB101) | (~v178(constB101))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22205, 22204])).
% 83.45/53.02 tff(22207,plain,
% 83.45/53.02 (v185(constB101) | (~v178(constB101))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22206, 4261, 22203])).
% 83.45/53.02 tff(22208,plain,
% 83.45/53.02 (~v178(constB101)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22207, 22165])).
% 83.45/53.02 tff(22209,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22210,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22211,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB101, constB102)) | v178(constB101) | (~v180(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22210, 22209])).
% 83.45/53.02 tff(22212,plain,
% 83.45/53.02 (v178(constB101) | (~v180(constB102))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22211, 4276, 14567])).
% 83.45/53.02 tff(22213,plain,
% 83.45/53.02 (~v180(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22212, 22208])).
% 83.45/53.02 tff(22214,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22215,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB102) | (~v181(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22216,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB102) | (~v181(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 83.45/53.02 tff(22217,plain,
% 83.45/53.02 (~v181(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22216, 4291, 22213])).
% 83.45/53.02 tff(22218,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22219,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB102)) | (~v184(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22220,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB102)) | (~v184(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22219, 22218])).
% 83.45/53.02 tff(22221,plain,
% 83.45/53.02 (~v184(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22220, 3901, 14585])).
% 83.45/53.02 tff(22222,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22223,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB102) | (~v187(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22224,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB102) | (~v187(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 83.45/53.02 tff(22225,plain,
% 83.45/53.02 (~v187(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22224, 4309, 22221])).
% 83.45/53.02 tff(22226,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22227,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB102) | (~v185(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22228,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB102) | (~v185(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 83.45/53.02 tff(22229,plain,
% 83.45/53.02 (~v185(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22228, 4029, 22225])).
% 83.45/53.02 tff(22230,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22231,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB102) | v185(constB102) | (~v178(constB102)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22232,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB102) | v185(constB102) | (~v178(constB102))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22231, 22230])).
% 83.45/53.02 tff(22233,plain,
% 83.45/53.02 (v181(constB102) | (~v178(constB102))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22232, 4261, 22229])).
% 83.45/53.02 tff(22234,plain,
% 83.45/53.02 (~v178(constB102)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22233, 22217])).
% 83.45/53.02 tff(22235,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22236,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22237,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB102, constB103)) | v178(constB102) | (~v180(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 83.45/53.02 tff(22238,plain,
% 83.45/53.02 (v178(constB102) | (~v180(constB103))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22237, 4276, 14668])).
% 83.45/53.02 tff(22239,plain,
% 83.45/53.02 (~v180(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22238, 22234])).
% 83.45/53.02 tff(22240,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB103) | (~v215(constB103)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB103) | (~v215(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22241,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB103) | (~v215(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22242,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB103) | (~v215(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 83.45/53.02 tff(22243,plain,
% 83.45/53.02 (~v215(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22242, 4427, 22239])).
% 83.45/53.02 tff(22244,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB103)) | (~v214(constB103)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB103)) | (~v214(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22245,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB103)) | (~v214(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22246,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB103)) | (~v214(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 83.45/53.02 tff(22247,plain,
% 83.45/53.02 (~v214(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22246, 4593, 22056])).
% 83.45/53.02 tff(22248,plain,
% 83.45/53.02 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB103) | v215(constB103) | (~v211(constB103)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB103) | v215(constB103) | (~v211(constB103)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22249,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB103) | v215(constB103) | (~v211(constB103)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22250,plain,
% 83.45/53.02 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB103) | v215(constB103) | (~v211(constB103))),
% 83.45/53.02 inference(modus_ponens,[status(thm)],[22249, 22248])).
% 83.45/53.02 tff(22251,plain,
% 83.45/53.02 (v215(constB103) | (~v211(constB103))),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22250, 4607, 22247])).
% 83.45/53.02 tff(22252,plain,
% 83.45/53.02 (~v211(constB103)),
% 83.45/53.02 inference(unit_resolution,[status(thm)],[22251, 22243])).
% 83.45/53.02 tff(22253,plain,
% 83.45/53.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB103, constB104)) | v211(constB103) | (~v213(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB103, constB104)) | v211(constB103) | (~v213(constB104)))),
% 83.45/53.02 inference(rewrite,[status(thm)],[])).
% 83.45/53.02 tff(22254,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB103, constB104)) | v211(constB103) | (~v213(constB104)))),
% 83.45/53.02 inference(quant_inst,[status(thm)],[])).
% 83.45/53.02 tff(22255,plain,
% 83.45/53.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB103, constB104)) | v211(constB103) | (~v213(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22254, 22253])).
% 83.45/53.03 tff(22256,plain,
% 83.45/53.03 (v211(constB103) | (~v213(constB104))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22255, 4622, 14927])).
% 83.45/53.03 tff(22257,plain,
% 83.45/53.03 (~v213(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22256, 22252])).
% 83.45/53.03 tff(22258,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB104) | (~v214(constB104)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB104) | (~v214(constB104)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22259,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB104) | (~v214(constB104)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22260,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB104) | (~v214(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22259, 22258])).
% 83.45/53.03 tff(22261,plain,
% 83.45/53.03 (~v214(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22260, 4637, 22257])).
% 83.45/53.03 tff(22262,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB104) | (~v217(constB104)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB104) | (~v217(constB104)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22263,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB104) | (~v217(constB104)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22264,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB104) | (~v217(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 83.45/53.03 tff(22265,plain,
% 83.45/53.03 (~v217(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22264, 4651, 22078])).
% 83.45/53.03 tff(22266,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB104) | (~v216(constB104)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB104) | (~v216(constB104)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22267,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB104) | (~v216(constB104)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22268,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB104) | (~v216(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 83.45/53.03 tff(22269,plain,
% 83.45/53.03 (~v216(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22268, 4565, 22265])).
% 83.45/53.03 tff(22270,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB104) | (~v215(constB104)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB104) | (~v215(constB104)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22271,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB104) | (~v215(constB104)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22272,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB104) | (~v215(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22271, 22270])).
% 83.45/53.03 tff(22273,plain,
% 83.45/53.03 (~v215(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22272, 4579, 22269])).
% 83.45/53.03 tff(22274,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB104) | v215(constB104) | (~v211(constB104)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB104) | v215(constB104) | (~v211(constB104)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22275,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB104) | v215(constB104) | (~v211(constB104)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22276,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB104) | v215(constB104) | (~v211(constB104))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22275, 22274])).
% 83.45/53.03 tff(22277,plain,
% 83.45/53.03 (v214(constB104) | (~v211(constB104))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22276, 4607, 22273])).
% 83.45/53.03 tff(22278,plain,
% 83.45/53.03 (~v211(constB104)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22277, 22261])).
% 83.45/53.03 tff(22279,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB104, constB105)) | v211(constB104) | (~v213(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB104, constB105)) | v211(constB104) | (~v213(constB105)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22280,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB104, constB105)) | v211(constB104) | (~v213(constB105)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22281,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB104, constB105)) | v211(constB104) | (~v213(constB105))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22280, 22279])).
% 83.45/53.03 tff(22282,plain,
% 83.45/53.03 (v211(constB104) | (~v213(constB105))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22281, 4622, 14989])).
% 83.45/53.03 tff(22283,plain,
% 83.45/53.03 (~v213(constB105)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22282, 22278])).
% 83.45/53.03 tff(22284,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB105) | (~v297(constB105)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB105) | (~v297(constB105)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22285,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB105) | (~v297(constB105)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22286,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB105) | (~v297(constB105))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22285, 22284])).
% 83.45/53.03 tff(22287,plain,
% 83.45/53.03 (~v297(constB105)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22286, 4767, 22283])).
% 83.45/53.03 tff(22288,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB105) | v297(constB105) | (~v292(constB105)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB105) | v297(constB105) | (~v292(constB105)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22289,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB105) | v297(constB105) | (~v292(constB105)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22290,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB105) | v297(constB105) | (~v292(constB105))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22289, 22288])).
% 83.45/53.03 tff(22291,plain,
% 83.45/53.03 (~v292(constB105)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22290, 4781, 22287, 22100])).
% 83.45/53.03 tff(22292,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB105) | v302(constB105) | v290(constB105))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB105) | v302(constB105) | v290(constB105))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22293,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB105) | v302(constB105) | v290(constB105))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22294,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB105) | v302(constB105) | v290(constB105)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 83.45/53.03 tff(22295,plain,
% 83.45/53.03 (v302(constB105) | v290(constB105)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22294, 5074, 22291])).
% 83.45/53.03 tff(22296,plain,
% 83.45/53.03 (v290(constB105)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22295, 21966])).
% 83.45/53.03 tff(22297,plain,
% 83.45/53.03 ($false),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22296, 21815])).
% 83.45/53.03 tff(22298,plain,((~(constB105 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.03 tff(22299,plain,
% 83.45/53.03 (~(constB105 = sK_VarCurr)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22298, 5241])).
% 83.45/53.03 tff(22300,assumption,(constB3 = sK_VarCurr), introduced(assumption)).
% 83.45/53.03 tff(22301,plain,
% 83.45/53.03 (v290(constB3) <=> v290(sK_VarCurr)),
% 83.45/53.03 inference(monotonicity,[status(thm)],[22300])).
% 83.45/53.03 tff(22302,plain,
% 83.45/53.03 (v290(sK_VarCurr) <=> v290(constB3)),
% 83.45/53.03 inference(symmetry,[status(thm)],[22301])).
% 83.45/53.03 tff(22303,plain,
% 83.45/53.03 ((~v290(sK_VarCurr)) <=> (~v290(constB3))),
% 83.45/53.03 inference(monotonicity,[status(thm)],[22302])).
% 83.45/53.03 tff(22304,plain,
% 83.45/53.03 (~v290(constB3)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[5241, 22303])).
% 83.45/53.03 tff(22305,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22306,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22307,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 83.45/53.03 tff(22308,plain,
% 83.45/53.03 (~v88(constB1, 2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22307, 3360, 109])).
% 83.45/53.03 tff(22309,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22310,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22311,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22310, 22309])).
% 83.45/53.03 tff(22312,plain,
% 83.45/53.03 (~v88(constB1, 1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22311, 3405, 130])).
% 83.45/53.03 tff(22313,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22314,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22315,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22314, 22313])).
% 83.45/53.03 tff(22316,plain,
% 83.45/53.03 (~v88(constB1, 0)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22315, 3705, 151])).
% 83.45/53.03 tff(22317,plain,
% 83.45/53.03 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)))),
% 83.45/53.03 inference(bind,[status(th)],[])).
% 83.45/53.03 tff(22318,plain,
% 83.45/53.03 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(quant_intro,[status(thm)],[22317])).
% 83.45/53.03 tff(22319,plain,
% 83.45/53.03 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22320,plain,
% 83.45/53.03 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))))),
% 83.45/53.03 inference(bind,[status(th)],[])).
% 83.45/53.03 tff(22321,plain,
% 83.45/53.03 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(quant_intro,[status(thm)],[22320])).
% 83.45/53.03 tff(22322,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 83.45/53.03 tff(22323,plain,
% 83.45/53.03 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 83.45/53.03 tff(22324,plain,
% 83.45/53.03 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22323, 22319])).
% 83.45/53.03 tff(22325,plain,(
% 83.45/53.03 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(skolemize,[status(sab)],[22324])).
% 83.45/53.03 tff(22326,plain,
% 83.45/53.03 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22325, 22318])).
% 83.45/53.03 tff(22327,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22328,plain,
% 83.45/53.03 ((v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1)) <=> (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22329,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)))),
% 83.45/53.03 inference(monotonicity,[status(thm)],[22328])).
% 83.45/53.03 tff(22330,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 83.45/53.03 inference(transitivity,[status(thm)],[22329, 22327])).
% 83.45/53.03 tff(22331,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22332,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22331, 22330])).
% 83.45/53.03 tff(22333,plain,
% 83.45/53.03 (v139(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22332, 22326, 22316, 22312, 22308])).
% 83.45/53.03 tff(22334,plain,
% 83.45/53.03 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v229(VarCurr)) <=> ((~v139(VarCurr)) | v229(VarCurr)))),
% 83.45/53.03 inference(bind,[status(th)],[])).
% 83.45/53.03 tff(22335,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))),
% 83.45/53.03 inference(quant_intro,[status(thm)],[22334])).
% 83.45/53.03 tff(22336,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22337,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_2')).
% 83.45/53.03 tff(22338,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 83.45/53.03 tff(22339,plain,(
% 83.45/53.03 ![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))),
% 83.45/53.03 inference(skolemize,[status(sab)],[22338])).
% 83.45/53.03 tff(22340,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22339, 22335])).
% 83.45/53.03 tff(22341,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | (v229(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | v229(constB1) | (~v139(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22342,plain,
% 83.45/53.03 (((~v139(constB1)) | v229(constB1)) <=> (v229(constB1) | (~v139(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22343,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | ((~v139(constB1)) | v229(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | (v229(constB1) | (~v139(constB1))))),
% 83.45/53.03 inference(monotonicity,[status(thm)],[22342])).
% 83.45/53.03 tff(22344,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | ((~v139(constB1)) | v229(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | v229(constB1) | (~v139(constB1)))),
% 83.45/53.03 inference(transitivity,[status(thm)],[22343, 22341])).
% 83.45/53.03 tff(22345,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | ((~v139(constB1)) | v229(constB1))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22346,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v229(VarCurr))) | v229(constB1) | (~v139(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22345, 22344])).
% 83.45/53.03 tff(22347,plain,
% 83.45/53.03 (v229(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22346, 22340, 22333])).
% 83.45/53.03 tff(22348,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB1) | (~v229(constB1)))) <=> ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB1) | (~v229(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22349,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | (v228(constB1) | (~v229(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22350,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v228(VarCurr) | (~v229(VarCurr)))) | v228(constB1) | (~v229(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 83.45/53.03 tff(22351,plain,
% 83.45/53.03 (v228(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22350, 3492, 22347])).
% 83.45/53.03 tff(22352,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB1)) | v227(constB1))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB1)) | v227(constB1))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22353,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB1)) | v227(constB1))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22354,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB1)) | v227(constB1)),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 83.45/53.03 tff(22355,plain,
% 83.45/53.03 (v227(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22354, 3503, 22351])).
% 83.45/53.03 tff(22356,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB1) | (~v227(constB1)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB1) | (~v227(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22357,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB1) | (~v227(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22358,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB1) | (~v227(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 83.45/53.03 tff(22359,plain,
% 83.45/53.03 (v226(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22358, 3517, 22355])).
% 83.45/53.03 tff(22360,plain,
% 83.45/53.03 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v168(VarCurr))) <=> ((~v139(VarCurr)) | (~v168(VarCurr))))),
% 83.45/53.03 inference(bind,[status(th)],[])).
% 83.45/53.03 tff(22361,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 83.45/53.03 inference(quant_intro,[status(thm)],[22360])).
% 83.45/53.03 tff(22362,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22363,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1')).
% 83.45/53.03 tff(22364,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22363, 22362])).
% 83.45/53.03 tff(22365,plain,(
% 83.45/53.03 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 83.45/53.03 inference(skolemize,[status(sab)],[22364])).
% 83.45/53.03 tff(22366,plain,
% 83.45/53.03 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22365, 22361])).
% 83.45/53.03 tff(22367,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22368,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22369,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 83.45/53.03 tff(22370,plain,
% 83.45/53.03 (~v168(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22369, 22366, 22333])).
% 83.45/53.03 tff(22371,plain,
% 83.45/53.03 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB1)) | v168(constB1) | (~v226(constB1)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v226(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22372,plain,
% 83.45/53.03 (((~v226(constB1)) | v168(constB1) | (~v161(constB1))) <=> ((~v161(constB1)) | v168(constB1) | (~v226(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22373,plain,
% 83.45/53.03 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB1)) | v168(constB1) | (~v161(constB1)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB1)) | v168(constB1) | (~v226(constB1))))),
% 83.45/53.03 inference(monotonicity,[status(thm)],[22372])).
% 83.45/53.03 tff(22374,plain,
% 83.45/53.03 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB1)) | v168(constB1) | (~v161(constB1)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v226(constB1)))),
% 83.45/53.03 inference(transitivity,[status(thm)],[22373, 22371])).
% 83.45/53.03 tff(22375,plain,
% 83.45/53.03 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB1)) | v168(constB1) | (~v161(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22376,plain,
% 83.45/53.03 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB1)) | v168(constB1) | (~v226(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22375, 22374])).
% 83.45/53.03 tff(22377,plain,
% 83.45/53.03 ((~v161(constB1)) | (~v226(constB1))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22376, 3997, 22370])).
% 83.45/53.03 tff(22378,plain,
% 83.45/53.03 (~v161(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22377, 22359])).
% 83.45/53.03 tff(22379,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB1) | (~v187(constB1)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB1) | (~v187(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22380,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB1) | (~v187(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22381,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB1) | (~v187(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22380, 22379])).
% 83.45/53.03 tff(22382,plain,
% 83.45/53.03 (~v187(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22381, 4015, 22378])).
% 83.45/53.03 tff(22383,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22384,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22385,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 83.45/53.03 tff(22386,plain,
% 83.45/53.03 (~v185(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22385, 4029, 22382])).
% 83.45/53.03 tff(22387,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22388,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22389,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22388, 22387])).
% 83.45/53.03 tff(22390,plain,
% 83.45/53.03 (~v181(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22389, 4291, 21568])).
% 83.45/53.03 tff(22391,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22392,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22393,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 83.45/53.03 tff(22394,plain,
% 83.45/53.03 (v185(constB1) | (~v178(constB1))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22393, 4261, 22390])).
% 83.45/53.03 tff(22395,plain,
% 83.45/53.03 (~v178(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22394, 22386])).
% 83.45/53.03 tff(22396,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22397,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22398,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22397, 22396])).
% 83.45/53.03 tff(22399,plain,
% 83.45/53.03 (v178(constB1) | (~v180(constB2))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22398, 4276, 278])).
% 83.45/53.03 tff(22400,plain,
% 83.45/53.03 (~v180(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22399, 22395])).
% 83.45/53.03 tff(22401,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22402,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22403,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 83.45/53.03 tff(22404,plain,
% 83.45/53.03 (~v181(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22403, 4291, 22400])).
% 83.45/53.03 tff(22405,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22406,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22407,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 83.45/53.03 tff(22408,plain,
% 83.45/53.03 (~v184(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22407, 3901, 328])).
% 83.45/53.03 tff(22409,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22410,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22411,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 83.45/53.03 tff(22412,plain,
% 83.45/53.03 (~v187(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22411, 4309, 22408])).
% 83.45/53.03 tff(22413,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22414,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22415,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 83.45/53.03 tff(22416,plain,
% 83.45/53.03 (~v185(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22415, 4029, 22412])).
% 83.45/53.03 tff(22417,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22418,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22419,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 83.45/53.03 tff(22420,plain,
% 83.45/53.03 (v181(constB2) | (~v178(constB2))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22419, 4261, 22416])).
% 83.45/53.03 tff(22421,plain,
% 83.45/53.03 (~v178(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22420, 22404])).
% 83.45/53.03 tff(22422,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22423,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22424,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22423, 22422])).
% 83.45/53.03 tff(22425,plain,
% 83.45/53.03 (v178(constB2) | (~v180(constB3))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22424, 4276, 430])).
% 83.45/53.03 tff(22426,plain,
% 83.45/53.03 (~v180(constB3)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22425, 22421])).
% 83.45/53.03 tff(22427,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB3) | (~v293(constB3)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB3) | (~v293(constB3)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22428,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB3) | (~v293(constB3)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22429,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB3) | (~v293(constB3))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22428, 22427])).
% 83.45/53.03 tff(22430,plain,
% 83.45/53.03 (~v293(constB3)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22429, 4413, 22426])).
% 83.45/53.03 tff(22431,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB1) | (~v215(constB1)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB1) | (~v215(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22432,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB1) | (~v215(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22433,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB1) | (~v215(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 83.45/53.03 tff(22434,plain,
% 83.45/53.03 (~v215(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22433, 4427, 21568])).
% 83.45/53.03 tff(22435,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB1) | (~v214(constB1)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB1) | (~v214(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22436,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB1) | (~v214(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22437,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB1) | (~v214(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22436, 22435])).
% 83.45/53.03 tff(22438,plain,
% 83.45/53.03 (~v214(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22437, 4637, 21592])).
% 83.45/53.03 tff(22439,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB1) | v215(constB1) | (~v211(constB1)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB1) | v215(constB1) | (~v211(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22440,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB1) | v215(constB1) | (~v211(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22441,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB1) | v215(constB1) | (~v211(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 83.45/53.03 tff(22442,plain,
% 83.45/53.03 (~v211(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22441, 4607, 22438, 22434])).
% 83.45/53.03 tff(22443,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB1, constB2)) | v211(constB1) | (~v213(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB1, constB2)) | v211(constB1) | (~v213(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22444,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB1, constB2)) | v211(constB1) | (~v213(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22445,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB1, constB2)) | v211(constB1) | (~v213(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 83.45/53.03 tff(22446,plain,
% 83.45/53.03 (v211(constB1) | (~v213(constB2))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22445, 4622, 278])).
% 83.45/53.03 tff(22447,plain,
% 83.45/53.03 (~v213(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22446, 22442])).
% 83.45/53.03 tff(22448,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB2) | (~v214(constB2)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB2) | (~v214(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22449,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB2) | (~v214(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22450,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB2) | (~v214(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 83.45/53.03 tff(22451,plain,
% 83.45/53.03 (~v214(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22450, 4637, 22447])).
% 83.45/53.03 tff(22452,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB2) | (~v217(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB2) | (~v217(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22453,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB2) | (~v217(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22454,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB2) | (~v217(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 83.45/53.03 tff(22455,plain,
% 83.45/53.03 (~v217(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22454, 4651, 22408])).
% 83.45/53.03 tff(22456,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB2) | (~v216(constB2)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB2) | (~v216(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22457,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB2) | (~v216(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22458,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB2) | (~v216(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22457, 22456])).
% 83.45/53.03 tff(22459,plain,
% 83.45/53.03 (~v216(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22458, 4565, 22455])).
% 83.45/53.03 tff(22460,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB2) | (~v215(constB2)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB2) | (~v215(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22461,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB2) | (~v215(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22462,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB2) | (~v215(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 83.45/53.03 tff(22463,plain,
% 83.45/53.03 (~v215(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22462, 4579, 22459])).
% 83.45/53.03 tff(22464,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB2) | v215(constB2) | (~v211(constB2)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB2) | v215(constB2) | (~v211(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22465,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB2) | v215(constB2) | (~v211(constB2)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22466,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB2) | v215(constB2) | (~v211(constB2))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 83.45/53.03 tff(22467,plain,
% 83.45/53.03 (v214(constB2) | (~v211(constB2))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22466, 4607, 22463])).
% 83.45/53.03 tff(22468,plain,
% 83.45/53.03 (~v211(constB2)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22467, 22451])).
% 83.45/53.03 tff(22469,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB2, constB3)) | v211(constB2) | (~v213(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB2, constB3)) | v211(constB2) | (~v213(constB3)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22470,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB2, constB3)) | v211(constB2) | (~v213(constB3)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22471,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB2, constB3)) | v211(constB2) | (~v213(constB3))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 83.45/53.03 tff(22472,plain,
% 83.45/53.03 (v211(constB2) | (~v213(constB3))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22471, 4622, 430])).
% 83.45/53.03 tff(22473,plain,
% 83.45/53.03 (~v213(constB3)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22472, 22468])).
% 83.45/53.03 tff(22474,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB3) | (~v297(constB3)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB3) | (~v297(constB3)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22475,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB3) | (~v297(constB3)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22476,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB3) | (~v297(constB3))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22475, 22474])).
% 83.45/53.03 tff(22477,plain,
% 83.45/53.03 (~v297(constB3)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22476, 4767, 22473])).
% 83.45/53.03 tff(22478,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB3) | v297(constB3) | (~v292(constB3)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB3) | v297(constB3) | (~v292(constB3)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22479,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB3) | v297(constB3) | (~v292(constB3)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22480,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB3) | v297(constB3) | (~v292(constB3))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 83.45/53.03 tff(22481,plain,
% 83.45/53.03 (v293(constB3) | (~v292(constB3))),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22480, 4781, 22477])).
% 83.45/53.03 tff(22482,plain,
% 83.45/53.03 (~v292(constB3)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22481, 22430])).
% 83.45/53.03 tff(22483,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB1) | (~v244(constB1)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB1) | (~v244(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22484,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB1) | (~v244(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22485,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB1) | (~v244(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 83.45/53.03 tff(22486,plain,
% 83.45/53.03 (~v244(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22485, 4935, 21620])).
% 83.45/53.03 tff(22487,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB1) | (~v245(constB1)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB1) | (~v245(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22488,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB1) | (~v245(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22489,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB1) | (~v245(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 83.45/53.03 tff(22490,plain,
% 83.45/53.03 (~v245(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22489, 4796, 21592])).
% 83.45/53.03 tff(22491,plain,
% 83.45/53.03 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB1) | v245(constB1) | (~v241(constB1)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB1) | v245(constB1) | (~v241(constB1)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22492,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB1) | v245(constB1) | (~v241(constB1)))),
% 83.45/53.03 inference(quant_inst,[status(thm)],[])).
% 83.45/53.03 tff(22493,plain,
% 83.45/53.03 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB1) | v245(constB1) | (~v241(constB1))),
% 83.45/53.03 inference(modus_ponens,[status(thm)],[22492, 22491])).
% 83.45/53.03 tff(22494,plain,
% 83.45/53.03 (~v241(constB1)),
% 83.45/53.03 inference(unit_resolution,[status(thm)],[22493, 4905, 22490, 22486])).
% 83.45/53.03 tff(22495,plain,
% 83.45/53.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB1, constB2)) | v241(constB1) | (~v243(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB1, constB2)) | v241(constB1) | (~v243(constB2)))),
% 83.45/53.03 inference(rewrite,[status(thm)],[])).
% 83.45/53.03 tff(22496,plain,
% 83.45/53.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB1, constB2)) | v241(constB1) | (~v243(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22497,plain,
% 83.45/53.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB1, constB2)) | v241(constB1) | (~v243(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 83.45/53.04 tff(22498,plain,
% 83.45/53.04 (v241(constB1) | (~v243(constB2))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22497, 4920, 278])).
% 83.45/53.04 tff(22499,plain,
% 83.45/53.04 (~v243(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22498, 22494])).
% 83.45/53.04 tff(22500,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB2) | (~v244(constB2)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB2) | (~v244(constB2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22501,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB2) | (~v244(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22502,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB2) | (~v244(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22501, 22500])).
% 83.45/53.04 tff(22503,plain,
% 83.45/53.04 (~v244(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22502, 4935, 22499])).
% 83.45/53.04 tff(22504,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB2) | (~v247(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB2) | (~v247(constB2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22505,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB2) | (~v247(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22506,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB2) | (~v247(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22505, 22504])).
% 83.45/53.04 tff(22507,plain,
% 83.45/53.04 (~v247(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22506, 4949, 22408])).
% 83.45/53.04 tff(22508,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB2) | (~v246(constB2)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB2) | (~v246(constB2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22509,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB2) | (~v246(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22510,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB2) | (~v246(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22509, 22508])).
% 83.45/53.04 tff(22511,plain,
% 83.45/53.04 (~v246(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22510, 4863, 22507])).
% 83.45/53.04 tff(22512,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB2) | (~v245(constB2)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB2) | (~v245(constB2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22513,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB2) | (~v245(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22514,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB2) | (~v245(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22513, 22512])).
% 83.45/53.04 tff(22515,plain,
% 83.45/53.04 (~v245(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22514, 4877, 22511])).
% 83.45/53.04 tff(22516,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB2) | v245(constB2) | (~v241(constB2)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB2) | v245(constB2) | (~v241(constB2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22517,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB2) | v245(constB2) | (~v241(constB2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22518,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB2) | v245(constB2) | (~v241(constB2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22517, 22516])).
% 83.45/53.04 tff(22519,plain,
% 83.45/53.04 (v244(constB2) | (~v241(constB2))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22518, 4905, 22515])).
% 83.45/53.04 tff(22520,plain,
% 83.45/53.04 (~v241(constB2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22519, 22503])).
% 83.45/53.04 tff(22521,plain,
% 83.45/53.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB2, constB3)) | v241(constB2) | (~v243(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB2, constB3)) | v241(constB2) | (~v243(constB3)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22522,plain,
% 83.45/53.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB2, constB3)) | v241(constB2) | (~v243(constB3)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22523,plain,
% 83.45/53.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB2, constB3)) | v241(constB2) | (~v243(constB3))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 83.45/53.04 tff(22524,plain,
% 83.45/53.04 (v241(constB2) | (~v243(constB3))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22523, 4920, 430])).
% 83.45/53.04 tff(22525,plain,
% 83.45/53.04 (~v243(constB3)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22524, 22520])).
% 83.45/53.04 tff(22526,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB3) | (~v302(constB3)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB3) | (~v302(constB3)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22527,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB3) | (~v302(constB3)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22528,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB3) | (~v302(constB3))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 83.45/53.04 tff(22529,plain,
% 83.45/53.04 (~v302(constB3)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22528, 5060, 22525])).
% 83.45/53.04 tff(22530,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB3) | v292(constB3) | v290(constB3))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB3) | v292(constB3) | v290(constB3))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22531,plain,
% 83.45/53.04 ((v292(constB3) | v302(constB3) | v290(constB3)) <=> (v302(constB3) | v292(constB3) | v290(constB3))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22532,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB3) | v302(constB3) | v290(constB3))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB3) | v292(constB3) | v290(constB3)))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22531])).
% 83.45/53.04 tff(22533,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB3) | v302(constB3) | v290(constB3))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB3) | v292(constB3) | v290(constB3))),
% 83.45/53.04 inference(transitivity,[status(thm)],[22532, 22530])).
% 83.45/53.04 tff(22534,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB3) | v302(constB3) | v290(constB3))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22535,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB3) | v292(constB3) | v290(constB3)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22534, 22533])).
% 83.45/53.04 tff(22536,plain,
% 83.45/53.04 (v292(constB3) | v290(constB3)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22535, 5074, 22529])).
% 83.45/53.04 tff(22537,plain,
% 83.45/53.04 (v290(constB3)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22536, 22482])).
% 83.45/53.04 tff(22538,plain,
% 83.45/53.04 ($false),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22537, 22304])).
% 83.45/53.04 tff(22539,plain,((~(constB3 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.04 tff(22540,plain,
% 83.45/53.04 (~(constB3 = sK_VarCurr)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22539, 5241])).
% 83.45/53.04 tff(22541,plain,
% 83.45/53.04 (v290(constB27) <=> v290(sK_VarCurr)),
% 83.45/53.04 inference(monotonicity,[status(thm)],[4])).
% 83.45/53.04 tff(22542,plain,
% 83.45/53.04 (v290(sK_VarCurr) <=> v290(constB27)),
% 83.45/53.04 inference(symmetry,[status(thm)],[22541])).
% 83.45/53.04 tff(22543,plain,
% 83.45/53.04 ((~v290(sK_VarCurr)) <=> (~v290(constB27))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22542])).
% 83.45/53.04 tff(22544,plain,
% 83.45/53.04 (~v290(constB27)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[5241, 22543])).
% 83.45/53.04 tff(22545,plain,
% 83.45/53.04 ($false),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[5082, 22544])).
% 83.45/53.04 tff(22546,plain,((~(constB27 = sK_VarCurr)) | v290(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.04 tff(22547,plain,
% 83.45/53.04 (~(constB27 = sK_VarCurr)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22546, 5241])).
% 83.45/53.04 tff(22548,assumption,(constB132 = sK_VarCurr), introduced(assumption)).
% 83.45/53.04 tff(22549,plain,
% 83.45/53.04 (v288(constB132) <=> v288(sK_VarCurr)),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22548])).
% 83.45/53.04 tff(22550,plain,
% 83.45/53.04 (v288(sK_VarCurr) <=> v288(constB132)),
% 83.45/53.04 inference(symmetry,[status(thm)],[22549])).
% 83.45/53.04 tff(22551,plain,
% 83.45/53.04 ((~v288(sK_VarCurr)) <=> (~v288(constB132))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22550])).
% 83.45/53.04 tff(22552,plain,
% 83.45/53.04 (~v288(constB132)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[5240, 22551])).
% 83.45/53.04 tff(22553,plain,
% 83.45/53.04 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v295(VarCurr))) <=> (v184(VarCurr) | (~v295(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22554,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22553])).
% 83.45/53.04 tff(22555,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22556,plain,
% 83.45/53.04 (^[VarCurr: state_type] : rewrite(((~v295(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v295(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22557,plain,
% 83.45/53.04 (![VarCurr: state_type] : ((~v295(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22556])).
% 83.45/53.04 tff(22558,axiom,(![VarCurr: state_type] : ((~v295(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_1')).
% 83.45/53.04 tff(22559,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 83.45/53.04 tff(22560,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22559, 22555])).
% 83.45/53.04 tff(22561,plain,(
% 83.45/53.04 ![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(skolemize,[status(sab)],[22560])).
% 83.45/53.04 tff(22562,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22561, 22554])).
% 83.45/53.04 tff(22563,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB132) | (~v295(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB132) | (~v295(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22564,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB132) | (~v295(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22565,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB132) | (~v295(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22564, 22563])).
% 83.45/53.04 tff(22566,plain,
% 83.45/53.04 (~v295(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22565, 22562, 19606])).
% 83.45/53.04 tff(22567,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB132) | (~v294(constB132)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB132) | (~v294(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22568,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB132) | (~v294(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22569,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB132) | (~v294(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22568, 22567])).
% 83.45/53.04 tff(22570,plain,
% 83.45/53.04 (~v294(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22569, 15964, 22566])).
% 83.45/53.04 tff(22571,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB132) | (~v293(constB132)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB132) | (~v293(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22572,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB132) | (~v293(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22573,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB132) | (~v293(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 83.45/53.04 tff(22574,plain,
% 83.45/53.04 (~v293(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22573, 15978, 22570])).
% 83.45/53.04 tff(22575,plain,
% 83.45/53.04 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v299(VarCurr))) <=> (v184(VarCurr) | (~v299(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22576,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22575])).
% 83.45/53.04 tff(22577,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22578,plain,
% 83.45/53.04 (^[VarCurr: state_type] : rewrite(((~v299(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v299(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22579,plain,
% 83.45/53.04 (![VarCurr: state_type] : ((~v299(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22578])).
% 83.45/53.04 tff(22580,axiom,(![VarCurr: state_type] : ((~v299(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_84_1_1_1_2')).
% 83.45/53.04 tff(22581,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 83.45/53.04 tff(22582,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22581, 22577])).
% 83.45/53.04 tff(22583,plain,(
% 83.45/53.04 ![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(skolemize,[status(sab)],[22582])).
% 83.45/53.04 tff(22584,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22583, 22576])).
% 83.45/53.04 tff(22585,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB132) | (~v299(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB132) | (~v299(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22586,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB132) | (~v299(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22587,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB132) | (~v299(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22586, 22585])).
% 83.45/53.04 tff(22588,plain,
% 83.45/53.04 (~v299(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22587, 22584, 19606])).
% 83.45/53.04 tff(22589,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB132) | (~v298(constB132)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB132) | (~v298(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22590,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB132) | (~v298(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22591,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB132) | (~v298(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 83.45/53.04 tff(22592,plain,
% 83.45/53.04 (~v298(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22591, 19336, 22588])).
% 83.45/53.04 tff(22593,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB132) | (~v297(constB132)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB132) | (~v297(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22594,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB132) | (~v297(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22595,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB132) | (~v297(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22594, 22593])).
% 83.45/53.04 tff(22596,plain,
% 83.45/53.04 (~v297(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22595, 19350, 22592])).
% 83.45/53.04 tff(22597,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB132) | v297(constB132) | (~v292(constB132)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB132) | v297(constB132) | (~v292(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22598,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB132) | v297(constB132) | (~v292(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22599,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB132) | v297(constB132) | (~v292(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 83.45/53.04 tff(22600,plain,
% 83.45/53.04 (~v292(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22599, 4781, 22596, 22574])).
% 83.45/53.04 tff(22601,plain,
% 83.45/53.04 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v304(VarCurr))) <=> (v184(VarCurr) | (~v304(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22602,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22601])).
% 83.45/53.04 tff(22603,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22604,plain,
% 83.45/53.04 (^[VarCurr: state_type] : rewrite(((~v304(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v304(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22605,plain,
% 83.45/53.04 (![VarCurr: state_type] : ((~v304(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22604])).
% 83.45/53.04 tff(22606,axiom,(![VarCurr: state_type] : ((~v304(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_88_1_1_1_2')).
% 83.45/53.04 tff(22607,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 83.45/53.04 tff(22608,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22607, 22603])).
% 83.45/53.04 tff(22609,plain,(
% 83.45/53.04 ![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(skolemize,[status(sab)],[22608])).
% 83.45/53.04 tff(22610,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22609, 22602])).
% 83.45/53.04 tff(22611,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB132) | (~v304(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB132) | (~v304(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22612,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB132) | (~v304(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22613,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB132) | (~v304(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 83.45/53.04 tff(22614,plain,
% 83.45/53.04 (~v304(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22613, 22610, 19606])).
% 83.45/53.04 tff(22615,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB132) | (~v303(constB132)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB132) | (~v303(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22616,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB132) | (~v303(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22617,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB132) | (~v303(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22616, 22615])).
% 83.45/53.04 tff(22618,plain,
% 83.45/53.04 (~v303(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22617, 21948, 22614])).
% 83.45/53.04 tff(22619,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB132) | (~v302(constB132)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB132) | (~v302(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22620,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB132) | (~v302(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22621,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB132) | (~v302(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22620, 22619])).
% 83.45/53.04 tff(22622,plain,
% 83.45/53.04 (~v302(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22621, 21962, 22618])).
% 83.45/53.04 tff(22623,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB132) | v292(constB132) | v290(constB132))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB132) | v292(constB132) | v290(constB132))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22624,plain,
% 83.45/53.04 ((v292(constB132) | v302(constB132) | v290(constB132)) <=> (v302(constB132) | v292(constB132) | v290(constB132))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22625,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB132) | v302(constB132) | v290(constB132))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB132) | v292(constB132) | v290(constB132)))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22624])).
% 83.45/53.04 tff(22626,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB132) | v302(constB132) | v290(constB132))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB132) | v292(constB132) | v290(constB132))),
% 83.45/53.04 inference(transitivity,[status(thm)],[22625, 22623])).
% 83.45/53.04 tff(22627,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB132) | v302(constB132) | v290(constB132))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22628,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB132) | v292(constB132) | v290(constB132)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 83.45/53.04 tff(22629,plain,
% 83.45/53.04 (v292(constB132) | v290(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22628, 5074, 22622])).
% 83.45/53.04 tff(22630,plain,
% 83.45/53.04 (v290(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22629, 22600])).
% 83.45/53.04 tff(22631,plain,
% 83.45/53.04 (^[VarCurr: state_type] : refl((v294(VarCurr) | (~v307(VarCurr))) <=> (v294(VarCurr) | (~v307(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22632,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22631])).
% 83.45/53.04 tff(22633,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr))) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22634,plain,
% 83.45/53.04 (^[VarCurr: state_type] : rewrite(((~v307(VarCurr)) | v294(VarCurr)) <=> (v294(VarCurr) | (~v307(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22635,plain,
% 83.45/53.04 (![VarCurr: state_type] : ((~v307(VarCurr)) | v294(VarCurr)) <=> ![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22634])).
% 83.45/53.04 tff(22636,axiom,(![VarCurr: state_type] : ((~v307(VarCurr)) | v294(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_92_1_1_1_1')).
% 83.45/53.04 tff(22637,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 83.45/53.04 tff(22638,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22637, 22633])).
% 83.45/53.04 tff(22639,plain,(
% 83.45/53.04 ![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(skolemize,[status(sab)],[22638])).
% 83.45/53.04 tff(22640,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22639, 22632])).
% 83.45/53.04 tff(22641,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB132) | (~v307(constB132)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB132) | (~v307(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22642,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB132) | (~v307(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22643,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB132) | (~v307(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 83.45/53.04 tff(22644,plain,
% 83.45/53.04 (~v307(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22643, 22640, 22570])).
% 83.45/53.04 tff(22645,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB132) | v289(constB132) | (~v290(constB132)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB132) | v289(constB132) | (~v290(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22646,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB132) | v289(constB132) | (~v290(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22647,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB132) | v289(constB132) | (~v290(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 83.45/53.04 tff(22648,plain,
% 83.45/53.04 (v289(constB132) | (~v290(constB132))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22647, 5092, 22644])).
% 83.45/53.04 tff(22649,plain,
% 83.45/53.04 (v289(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22648, 22630])).
% 83.45/53.04 tff(22650,plain,
% 83.45/53.04 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v311(VarCurr))) <=> (v184(VarCurr) | (~v311(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22651,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22650])).
% 83.45/53.04 tff(22652,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22653,plain,
% 83.45/53.04 (^[VarCurr: state_type] : rewrite(((~v311(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v311(VarCurr))))),
% 83.45/53.04 inference(bind,[status(th)],[])).
% 83.45/53.04 tff(22654,plain,
% 83.45/53.04 (![VarCurr: state_type] : ((~v311(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(quant_intro,[status(thm)],[22653])).
% 83.45/53.04 tff(22655,axiom,(![VarCurr: state_type] : ((~v311(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_94_1_1_1_1')).
% 83.45/53.04 tff(22656,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22655, 22654])).
% 83.45/53.04 tff(22657,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22656, 22652])).
% 83.45/53.04 tff(22658,plain,(
% 83.45/53.04 ![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(skolemize,[status(sab)],[22657])).
% 83.45/53.04 tff(22659,plain,
% 83.45/53.04 (![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22658, 22651])).
% 83.45/53.04 tff(22660,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB132) | (~v311(constB132)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB132) | (~v311(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22661,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB132) | (~v311(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22662,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB132) | (~v311(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22661, 22660])).
% 83.45/53.04 tff(22663,plain,
% 83.45/53.04 (~v311(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22662, 22659, 19606])).
% 83.45/53.04 tff(22664,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB132) | (~v310(constB132)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB132) | (~v310(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22665,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB132) | (~v310(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22666,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB132) | (~v310(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 83.45/53.04 tff(22667,plain,
% 83.45/53.04 (~v310(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22666, 3574, 22663])).
% 83.45/53.04 tff(22668,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB132) | (~v309(constB132)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB132) | (~v309(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22669,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB132) | (~v309(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22670,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB132) | (~v309(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 83.45/53.04 tff(22671,plain,
% 83.45/53.04 (~v309(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22670, 3588, 22667])).
% 83.45/53.04 tff(22672,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB132) | v288(constB132) | (~v289(constB132)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB132) | v288(constB132) | (~v289(constB132)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22673,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB132) | v288(constB132) | (~v289(constB132)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22674,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB132) | v288(constB132) | (~v289(constB132))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 83.45/53.04 tff(22675,plain,
% 83.45/53.04 (v288(constB132) | (~v289(constB132))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22674, 5107, 22671])).
% 83.45/53.04 tff(22676,plain,
% 83.45/53.04 (v288(constB132)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22675, 22649])).
% 83.45/53.04 tff(22677,plain,
% 83.45/53.04 ($false),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22676, 22552])).
% 83.45/53.04 tff(22678,plain,((~(constB132 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.04 tff(22679,plain,
% 83.45/53.04 (~(constB132 = sK_VarCurr)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22678, 5240])).
% 83.45/53.04 tff(22680,assumption,(constB112 = sK_VarCurr), introduced(assumption)).
% 83.45/53.04 tff(22681,plain,
% 83.45/53.04 (v288(constB112) <=> v288(sK_VarCurr)),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22680])).
% 83.45/53.04 tff(22682,plain,
% 83.45/53.04 (v288(sK_VarCurr) <=> v288(constB112)),
% 83.45/53.04 inference(symmetry,[status(thm)],[22681])).
% 83.45/53.04 tff(22683,plain,
% 83.45/53.04 ((~v288(sK_VarCurr)) <=> (~v288(constB112))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22682])).
% 83.45/53.04 tff(22684,plain,
% 83.45/53.04 (~v288(constB112)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[5240, 22683])).
% 83.45/53.04 tff(22685,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB112) | (~v295(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB112) | (~v295(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22686,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB112) | (~v295(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22687,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB112) | (~v295(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22686, 22685])).
% 83.45/53.04 tff(22688,plain,
% 83.45/53.04 (~v295(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22687, 22562, 16172])).
% 83.45/53.04 tff(22689,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB112) | (~v294(constB112)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB112) | (~v294(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22690,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB112) | (~v294(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22691,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB112) | (~v294(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22690, 22689])).
% 83.45/53.04 tff(22692,plain,
% 83.45/53.04 (~v294(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22691, 15964, 22688])).
% 83.45/53.04 tff(22693,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB112) | (~v293(constB112)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB112) | (~v293(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22694,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB112) | (~v293(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22695,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB112) | (~v293(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22694, 22693])).
% 83.45/53.04 tff(22696,plain,
% 83.45/53.04 (~v293(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22695, 15978, 22692])).
% 83.45/53.04 tff(22697,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB112) | (~v299(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB112) | (~v299(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22698,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB112) | (~v299(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22699,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB112) | (~v299(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22698, 22697])).
% 83.45/53.04 tff(22700,plain,
% 83.45/53.04 (~v299(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22699, 22584, 16172])).
% 83.45/53.04 tff(22701,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB112) | (~v298(constB112)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB112) | (~v298(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22702,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB112) | (~v298(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22703,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB112) | (~v298(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22702, 22701])).
% 83.45/53.04 tff(22704,plain,
% 83.45/53.04 (~v298(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22703, 19336, 22700])).
% 83.45/53.04 tff(22705,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB112) | (~v297(constB112)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB112) | (~v297(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22706,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB112) | (~v297(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22707,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB112) | (~v297(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 83.45/53.04 tff(22708,plain,
% 83.45/53.04 (~v297(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22707, 19350, 22704])).
% 83.45/53.04 tff(22709,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB112) | v297(constB112) | (~v292(constB112)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB112) | v297(constB112) | (~v292(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22710,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB112) | v297(constB112) | (~v292(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22711,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB112) | v297(constB112) | (~v292(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22710, 22709])).
% 83.45/53.04 tff(22712,plain,
% 83.45/53.04 (~v292(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22711, 4781, 22708, 22696])).
% 83.45/53.04 tff(22713,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB112) | (~v304(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB112) | (~v304(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22714,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB112) | (~v304(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22715,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB112) | (~v304(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 83.45/53.04 tff(22716,plain,
% 83.45/53.04 (~v304(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22715, 22610, 16172])).
% 83.45/53.04 tff(22717,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB112) | (~v303(constB112)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB112) | (~v303(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22718,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB112) | (~v303(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22719,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB112) | (~v303(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22718, 22717])).
% 83.45/53.04 tff(22720,plain,
% 83.45/53.04 (~v303(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22719, 21948, 22716])).
% 83.45/53.04 tff(22721,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB112) | (~v302(constB112)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB112) | (~v302(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22722,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB112) | (~v302(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22723,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB112) | (~v302(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 83.45/53.04 tff(22724,plain,
% 83.45/53.04 (~v302(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22723, 21962, 22720])).
% 83.45/53.04 tff(22725,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB112) | v292(constB112) | v290(constB112))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB112) | v292(constB112) | v290(constB112))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22726,plain,
% 83.45/53.04 ((v292(constB112) | v302(constB112) | v290(constB112)) <=> (v302(constB112) | v292(constB112) | v290(constB112))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22727,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB112) | v302(constB112) | v290(constB112))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB112) | v292(constB112) | v290(constB112)))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22726])).
% 83.45/53.04 tff(22728,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB112) | v302(constB112) | v290(constB112))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB112) | v292(constB112) | v290(constB112))),
% 83.45/53.04 inference(transitivity,[status(thm)],[22727, 22725])).
% 83.45/53.04 tff(22729,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB112) | v302(constB112) | v290(constB112))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22730,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB112) | v292(constB112) | v290(constB112)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22729, 22728])).
% 83.45/53.04 tff(22731,plain,
% 83.45/53.04 (v292(constB112) | v290(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22730, 5074, 22724])).
% 83.45/53.04 tff(22732,plain,
% 83.45/53.04 (v290(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22731, 22712])).
% 83.45/53.04 tff(22733,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB112) | (~v307(constB112)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB112) | (~v307(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22734,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB112) | (~v307(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22735,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB112) | (~v307(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 83.45/53.04 tff(22736,plain,
% 83.45/53.04 (~v307(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22735, 22640, 22692])).
% 83.45/53.04 tff(22737,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB112) | v289(constB112) | (~v290(constB112)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB112) | v289(constB112) | (~v290(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22738,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB112) | v289(constB112) | (~v290(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22739,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB112) | v289(constB112) | (~v290(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 83.45/53.04 tff(22740,plain,
% 83.45/53.04 (v289(constB112) | (~v290(constB112))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22739, 5092, 22736])).
% 83.45/53.04 tff(22741,plain,
% 83.45/53.04 (v289(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22740, 22732])).
% 83.45/53.04 tff(22742,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB112) | (~v311(constB112)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB112) | (~v311(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22743,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB112) | (~v311(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22744,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB112) | (~v311(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 83.45/53.04 tff(22745,plain,
% 83.45/53.04 (~v311(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22744, 22659, 16172])).
% 83.45/53.04 tff(22746,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB112) | (~v310(constB112)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB112) | (~v310(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22747,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB112) | (~v310(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22748,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB112) | (~v310(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 83.45/53.04 tff(22749,plain,
% 83.45/53.04 (~v310(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22748, 3574, 22745])).
% 83.45/53.04 tff(22750,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB112) | (~v309(constB112)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB112) | (~v309(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22751,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB112) | (~v309(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22752,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB112) | (~v309(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22751, 22750])).
% 83.45/53.04 tff(22753,plain,
% 83.45/53.04 (~v309(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22752, 3588, 22749])).
% 83.45/53.04 tff(22754,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB112) | v288(constB112) | (~v289(constB112)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB112) | v288(constB112) | (~v289(constB112)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22755,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB112) | v288(constB112) | (~v289(constB112)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22756,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB112) | v288(constB112) | (~v289(constB112))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 83.45/53.04 tff(22757,plain,
% 83.45/53.04 (v288(constB112) | (~v289(constB112))),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22756, 5107, 22753])).
% 83.45/53.04 tff(22758,plain,
% 83.45/53.04 (v288(constB112)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22757, 22741])).
% 83.45/53.04 tff(22759,plain,
% 83.45/53.04 ($false),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22758, 22684])).
% 83.45/53.04 tff(22760,plain,((~(constB112 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.04 tff(22761,plain,
% 83.45/53.04 (~(constB112 = sK_VarCurr)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22760, 5240])).
% 83.45/53.04 tff(22762,assumption,(constB81 = sK_VarCurr), introduced(assumption)).
% 83.45/53.04 tff(22763,plain,
% 83.45/53.04 (v288(constB81) <=> v288(sK_VarCurr)),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22762])).
% 83.45/53.04 tff(22764,plain,
% 83.45/53.04 (v288(sK_VarCurr) <=> v288(constB81)),
% 83.45/53.04 inference(symmetry,[status(thm)],[22763])).
% 83.45/53.04 tff(22765,plain,
% 83.45/53.04 ((~v288(sK_VarCurr)) <=> (~v288(constB81))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22764])).
% 83.45/53.04 tff(22766,plain,
% 83.45/53.04 (~v288(constB81)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[5240, 22765])).
% 83.45/53.04 tff(22767,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB81, 2)) | v88(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB81, 2)) | v88(constB81, 2))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22768,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB81, 2)) | v88(constB81, 2))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22769,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB81, 2)) | v88(constB81, 2)),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22768, 22767])).
% 83.45/53.04 tff(22770,plain,
% 83.45/53.04 (v88(constB81, 2)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22769, 3716, 11429])).
% 83.45/53.04 tff(22771,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22772,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22773,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB81)) | (~v88(constB81, 2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 83.45/53.04 tff(22774,plain,
% 83.45/53.04 (~v139(constB81)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22773, 4139, 22770])).
% 83.45/53.04 tff(22775,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22776,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22777,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB81)) | (~v88(constB81, 2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 83.45/53.04 tff(22778,plain,
% 83.45/53.04 (~v140(constB81)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22777, 4044, 22770])).
% 83.45/53.04 tff(22779,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB81) | v140(constB81) | (~v229(constB81)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB81) | v140(constB81) | (~v229(constB81)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22780,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB81) | v140(constB81) | (~v229(constB81)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22781,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB81) | v140(constB81) | (~v229(constB81))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 83.45/53.04 tff(22782,plain,
% 83.45/53.04 (~v229(constB81)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22781, 4441, 22778, 22774])).
% 83.45/53.04 tff(22783,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22784,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22785,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB81)) | (~v88(constB81, 2))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 83.45/53.04 tff(22786,plain,
% 83.45/53.04 (~v141(constB81)),
% 83.45/53.04 inference(unit_resolution,[status(thm)],[22785, 4452, 22770])).
% 83.45/53.04 tff(22787,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB81) | v229(constB81) | (~v228(constB81)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB81) | v229(constB81) | (~v228(constB81)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22788,plain,
% 83.45/53.04 ((v141(constB81) | (~v228(constB81)) | v229(constB81)) <=> (v141(constB81) | v229(constB81) | (~v228(constB81)))),
% 83.45/53.04 inference(rewrite,[status(thm)],[])).
% 83.45/53.04 tff(22789,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB81) | (~v228(constB81)) | v229(constB81))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB81) | v229(constB81) | (~v228(constB81))))),
% 83.45/53.04 inference(monotonicity,[status(thm)],[22788])).
% 83.45/53.04 tff(22790,plain,
% 83.45/53.04 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB81) | (~v228(constB81)) | v229(constB81))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB81) | v229(constB81) | (~v228(constB81)))),
% 83.45/53.04 inference(transitivity,[status(thm)],[22789, 22787])).
% 83.45/53.04 tff(22791,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB81) | (~v228(constB81)) | v229(constB81))),
% 83.45/53.04 inference(quant_inst,[status(thm)],[])).
% 83.45/53.04 tff(22792,plain,
% 83.45/53.04 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v141(constB81) | v229(constB81) | (~v228(constB81))),
% 83.45/53.04 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 83.45/53.05 tff(22793,plain,
% 83.45/53.05 (v229(constB81) | (~v228(constB81))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22792, 4466, 22786])).
% 83.45/53.05 tff(22794,plain,
% 83.45/53.05 (~v228(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22793, 22782])).
% 83.45/53.05 tff(22795,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB81, 1)) | v90(constB81, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB81, 1)) | v90(constB81, 1))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22796,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB81, 1)) | v90(constB81, 1))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22797,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB81, 1)) | v90(constB81, 1)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22796, 22795])).
% 83.45/53.05 tff(22798,plain,
% 83.45/53.05 (~v88(constB81, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22797, 3405, 11463])).
% 83.45/53.05 tff(22799,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB81)) | v88(constB81, 1))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB81)) | v88(constB81, 1))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22800,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB81)) | v88(constB81, 1))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22801,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB81)) | v88(constB81, 1)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 83.45/53.05 tff(22802,plain,
% 83.45/53.05 (~v144(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22801, 4478, 22798])).
% 83.45/53.05 tff(22803,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB81)) | (~v88(constB81, 2)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22804,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB81)) | (~v88(constB81, 2)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22805,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB81)) | (~v88(constB81, 2))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22804, 22803])).
% 83.45/53.05 tff(22806,plain,
% 83.45/53.05 (~v143(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22805, 4489, 22770])).
% 83.45/53.05 tff(22807,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB81) | v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB81) | v144(constB81) | (~v142(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22808,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB81) | v144(constB81) | (~v142(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22809,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB81) | v144(constB81) | (~v142(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22808, 22807])).
% 83.45/53.05 tff(22810,plain,
% 83.45/53.05 (~v142(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22809, 4503, 22806, 22802])).
% 83.45/53.05 tff(22811,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB81) | v228(constB81) | (~v227(constB81)))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB81) | v228(constB81) | (~v227(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22812,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB81) | v228(constB81) | (~v227(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22813,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB81) | v228(constB81) | (~v227(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22812, 22811])).
% 83.45/53.05 tff(22814,plain,
% 83.45/53.05 (~v227(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22813, 21869, 22810, 22794])).
% 83.45/53.05 tff(22815,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB81) | v230(constB81))) <=> ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB81) | v230(constB81))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22816,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB81) | v230(constB81))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22817,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB81) | v230(constB81)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22816, 22815])).
% 83.45/53.05 tff(22818,plain,
% 83.45/53.05 (v230(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22817, 21880, 22814])).
% 83.45/53.05 tff(22819,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB81, 0)) | v90(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB81, 0)) | v90(constB81, 0))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22820,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB81, 0)) | v90(constB81, 0))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22821,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB81, 0)) | v90(constB81, 0)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 83.45/53.05 tff(22822,plain,
% 83.45/53.05 (~v88(constB81, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22821, 3705, 11497])).
% 83.45/53.05 tff(22823,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22824,plain,
% 83.45/53.05 (((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81)) <=> (v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22825,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81)))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[22824])).
% 83.45/53.05 tff(22826,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81))),
% 83.45/53.05 inference(transitivity,[status(thm)],[22825, 22823])).
% 83.45/53.05 tff(22827,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB81, 2)) | v88(constB81, 1) | v88(constB81, 0) | v146(constB81))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22828,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB81, 0) | v88(constB81, 1) | (~v88(constB81, 2)) | v146(constB81)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22827, 22826])).
% 83.45/53.05 tff(22829,plain,
% 83.45/53.05 (v146(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22828, 4169, 22770, 22822, 22798])).
% 83.45/53.05 tff(22830,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB81)) | v145(constB81))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB81)) | v145(constB81))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22831,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB81)) | v145(constB81))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22832,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB81)) | v145(constB81)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22831, 22830])).
% 83.45/53.05 tff(22833,plain,
% 83.45/53.05 (v145(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22832, 4183, 22829])).
% 83.45/53.05 tff(22834,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB81) | (~v145(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22835,plain,
% 83.45/53.05 (((~v145(constB81)) | v226(constB81)) <=> (v226(constB81) | (~v145(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22836,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB81)) | v226(constB81))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB81) | (~v145(constB81))))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[22835])).
% 83.45/53.05 tff(22837,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB81)) | v226(constB81))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB81) | (~v145(constB81)))),
% 83.45/53.05 inference(transitivity,[status(thm)],[22836, 22834])).
% 83.45/53.05 tff(22838,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB81)) | v226(constB81))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22839,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB81) | (~v145(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22838, 22837])).
% 83.45/53.05 tff(22840,plain,
% 83.45/53.05 (v226(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22839, 4106, 22833])).
% 83.45/53.05 tff(22841,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB81) | (~v226(constB81)) | (~v230(constB81)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB81) | (~v226(constB81)) | (~v230(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22842,plain,
% 83.45/53.05 (((~v226(constB81)) | (~v230(constB81)) | v223(constB81)) <=> (v223(constB81) | (~v226(constB81)) | (~v230(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22843,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB81)) | (~v230(constB81)) | v223(constB81))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB81) | (~v226(constB81)) | (~v230(constB81))))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[22842])).
% 83.45/53.05 tff(22844,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB81)) | (~v230(constB81)) | v223(constB81))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB81) | (~v226(constB81)) | (~v230(constB81)))),
% 83.45/53.05 inference(transitivity,[status(thm)],[22843, 22841])).
% 83.45/53.05 tff(22845,plain,
% 83.45/53.05 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB81)) | (~v230(constB81)) | v223(constB81))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22846,plain,
% 83.45/53.05 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB81) | (~v226(constB81)) | (~v230(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22845, 22844])).
% 83.45/53.05 tff(22847,plain,
% 83.45/53.05 (v223(constB81) | (~v230(constB81))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22846, 21916, 22840])).
% 83.45/53.05 tff(22848,plain,
% 83.45/53.05 (v223(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22847, 22818])).
% 83.45/53.05 tff(22849,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB81)) | (~v304(constB81)))) <=> ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB81)) | (~v304(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22850,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB81)) | (~v304(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22851,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB81)) | (~v304(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 83.45/53.05 tff(22852,plain,
% 83.45/53.05 (~v304(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22851, 21934, 22848])).
% 83.45/53.05 tff(22853,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB81) | (~v303(constB81)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB81) | (~v303(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22854,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB81) | (~v303(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22855,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB81) | (~v303(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 83.45/53.05 tff(22856,plain,
% 83.45/53.05 (~v303(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22855, 21948, 22852])).
% 83.45/53.05 tff(22857,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB81) | (~v302(constB81)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB81) | (~v302(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22858,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB81) | (~v302(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22859,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB81) | (~v302(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22858, 22857])).
% 83.45/53.05 tff(22860,plain,
% 83.45/53.05 (~v302(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22859, 21962, 22856])).
% 83.45/53.05 tff(22861,plain,
% 83.45/53.05 (v117(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11087, 967, 11080])).
% 83.45/53.05 tff(22862,plain,
% 83.45/53.05 (v116(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11094, 200, 22861])).
% 83.45/53.05 tff(22863,plain,
% 83.45/53.05 (v115(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11101, 214, 22862])).
% 83.45/53.05 tff(22864,plain,
% 83.45/53.05 (v114(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11108, 228, 22863])).
% 83.45/53.05 tff(22865,plain,
% 83.45/53.05 (v113(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11115, 242, 22864])).
% 83.45/53.05 tff(22866,plain,
% 83.45/53.05 (v108(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11141, 22865])).
% 83.45/53.05 tff(22867,plain,
% 83.45/53.05 (v110(constB78)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11152, 22866])).
% 83.45/53.05 tff(22868,plain,
% 83.45/53.05 (v100(constB78)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11178, 22867])).
% 83.45/53.05 tff(22869,plain,
% 83.45/53.05 (~v130(constB77, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11182, 1052, 11080])).
% 83.45/53.05 tff(22870,plain,
% 83.45/53.05 (~v127(constB77, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11194, 22869])).
% 83.45/53.05 tff(22871,plain,
% 83.45/53.05 (~v129(constB78, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11199, 22870])).
% 83.45/53.05 tff(22872,plain,
% 83.45/53.05 ((~v90(constB78, 2)) | (~v100(constB78))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11203, 589, 22871])).
% 83.45/53.05 tff(22873,plain,
% 83.45/53.05 (~v90(constB78, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22872, 22868])).
% 83.45/53.05 tff(22874,plain,
% 83.45/53.05 (~v90(constB79, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11231, 22873])).
% 83.45/53.05 tff(22875,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB79, 2)) | v90(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB79, 2)) | v90(constB79, 2))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22876,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB79, 2)) | v90(constB79, 2))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22877,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB79, 2)) | v90(constB79, 2)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 83.45/53.05 tff(22878,plain,
% 83.45/53.05 (~v88(constB79, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22877, 3360, 22874])).
% 83.45/53.05 tff(22879,plain,
% 83.45/53.05 (v130(constB77, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11266, 1108, 11080])).
% 83.45/53.05 tff(22880,plain,
% 83.45/53.05 (v127(constB77, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11271, 22879])).
% 83.45/53.05 tff(22881,plain,
% 83.45/53.05 (v129(constB78, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11276, 22880])).
% 83.45/53.05 tff(22882,plain,
% 83.45/53.05 (v90(constB78, 1) | (~v100(constB78))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11283, 848, 22881])).
% 83.45/53.05 tff(22883,plain,
% 83.45/53.05 (v90(constB78, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22882, 22868])).
% 83.45/53.05 tff(22884,plain,
% 83.45/53.05 (v90(constB79, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11293, 22883])).
% 83.45/53.05 tff(22885,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB79, 1)) | v88(constB79, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB79, 1)) | v88(constB79, 1))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22886,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB79, 1)) | v88(constB79, 1))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22887,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB79, 1)) | v88(constB79, 1)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 83.45/53.05 tff(22888,plain,
% 83.45/53.05 (v88(constB79, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22887, 3727, 22884])).
% 83.45/53.05 tff(22889,plain,
% 83.45/53.05 (v130(constB77, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11235, 1146, 11080])).
% 83.45/53.05 tff(22890,plain,
% 83.45/53.05 (v127(constB77, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11240, 22889])).
% 83.45/53.05 tff(22891,plain,
% 83.45/53.05 (v129(constB78, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11245, 22890])).
% 83.45/53.05 tff(22892,plain,
% 83.45/53.05 (v90(constB78, 0) | (~v100(constB78))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11252, 508, 22891])).
% 83.45/53.05 tff(22893,plain,
% 83.45/53.05 (v90(constB78, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22892, 22868])).
% 83.45/53.05 tff(22894,plain,
% 83.45/53.05 (v90(constB79, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11262, 22893])).
% 83.45/53.05 tff(22895,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB79, 0)) | v88(constB79, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB79, 0)) | v88(constB79, 0))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22896,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB79, 0)) | v88(constB79, 0))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22897,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB79, 0)) | v88(constB79, 0)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22896, 22895])).
% 83.45/53.05 tff(22898,plain,
% 83.45/53.05 (v88(constB79, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22897, 3447, 22894])).
% 83.45/53.05 tff(22899,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22900,plain,
% 83.45/53.05 ((v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79)) <=> ((~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22901,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79)))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[22900])).
% 83.45/53.05 tff(22902,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79))),
% 83.45/53.05 inference(transitivity,[status(thm)],[22901, 22899])).
% 83.45/53.05 tff(22903,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB79, 2) | (~v88(constB79, 1)) | (~v88(constB79, 0)) | v141(constB79))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22904,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB79, 0)) | v88(constB79, 2) | (~v88(constB79, 1)) | v141(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22903, 22902])).
% 83.45/53.05 tff(22905,plain,
% 83.45/53.05 (v141(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22904, 19257, 22898, 22888, 22878])).
% 83.45/53.05 tff(22906,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB79)) | v228(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB79)) | v228(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22907,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB79)) | v228(constB79))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22908,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB79)) | v228(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 83.45/53.05 tff(22909,plain,
% 83.45/53.05 (v228(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22908, 19268, 22905])).
% 83.45/53.05 tff(22910,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB79)) | v227(constB79))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB79)) | v227(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22911,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB79)) | v227(constB79))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22912,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB79)) | v227(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 83.45/53.05 tff(22913,plain,
% 83.45/53.05 (v227(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22912, 3503, 22909])).
% 83.45/53.05 tff(22914,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB79) | (~v227(constB79)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB79) | (~v227(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22915,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB79) | (~v227(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22916,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB79) | (~v227(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 83.45/53.05 tff(22917,plain,
% 83.45/53.05 (v226(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22916, 3517, 22913])).
% 83.45/53.05 tff(22918,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB79)) | (~v88(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB79)) | (~v88(constB79, 1)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22919,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB79)) | (~v88(constB79, 1)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22920,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB79)) | (~v88(constB79, 1))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 83.45/53.05 tff(22921,plain,
% 83.45/53.05 (~v140(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22920, 3969, 22888])).
% 83.45/53.05 tff(22922,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB79)) | (~v88(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB79)) | (~v88(constB79, 0)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22923,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB79)) | (~v88(constB79, 0)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22924,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB79)) | (~v88(constB79, 0))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 83.45/53.05 tff(22925,plain,
% 83.45/53.05 (~v139(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22924, 4059, 22898])).
% 83.45/53.05 tff(22926,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v168(constB79)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB79) | v140(constB79) | (~v168(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22927,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB79) | v140(constB79) | (~v168(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22928,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB79) | v140(constB79) | (~v168(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 83.45/53.05 tff(22929,plain,
% 83.45/53.05 (~v168(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22928, 3983, 22925, 22921])).
% 83.45/53.05 tff(22930,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB79)) | (~v226(constB79)) | v168(constB79))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB79)) | (~v226(constB79)) | v168(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22931,plain,
% 83.45/53.05 (((~v226(constB79)) | v168(constB79) | (~v161(constB79))) <=> ((~v161(constB79)) | (~v226(constB79)) | v168(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22932,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB79)) | v168(constB79) | (~v161(constB79)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB79)) | (~v226(constB79)) | v168(constB79)))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[22931])).
% 83.45/53.05 tff(22933,plain,
% 83.45/53.05 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB79)) | v168(constB79) | (~v161(constB79)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB79)) | (~v226(constB79)) | v168(constB79))),
% 83.45/53.05 inference(transitivity,[status(thm)],[22932, 22930])).
% 83.45/53.05 tff(22934,plain,
% 83.45/53.05 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB79)) | v168(constB79) | (~v161(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22935,plain,
% 83.45/53.05 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB79)) | (~v226(constB79)) | v168(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22934, 22933])).
% 83.45/53.05 tff(22936,plain,
% 83.45/53.05 ((~v161(constB79)) | (~v226(constB79))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22935, 3997, 22929])).
% 83.45/53.05 tff(22937,plain,
% 83.45/53.05 (~v161(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22936, 22917])).
% 83.45/53.05 tff(22938,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB79) | (~v187(constB79)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB79) | (~v187(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22939,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB79) | (~v187(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22940,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB79) | (~v187(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22939, 22938])).
% 83.45/53.05 tff(22941,plain,
% 83.45/53.05 (~v187(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22940, 4015, 22937])).
% 83.45/53.05 tff(22942,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB79) | (~v185(constB79)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB79) | (~v185(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22943,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB79) | (~v185(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22944,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB79) | (~v185(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 83.45/53.05 tff(22945,plain,
% 83.45/53.05 (~v185(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22944, 4029, 22941])).
% 83.45/53.05 tff(22946,assumption,(v18(constB80)), introduced(assumption)).
% 83.45/53.05 tff(22947,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB80))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22948,plain,
% 83.45/53.05 ($false),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22947, 3600, 22946])).
% 83.45/53.05 tff(22949,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.05 tff(22950,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22951,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22952,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22951, 22950])).
% 83.45/53.05 tff(22953,plain,
% 83.45/53.05 (v22(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22952, 3613, 11366])).
% 83.45/53.05 tff(22954,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22955,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22956,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 83.45/53.05 tff(22957,plain,
% 83.45/53.05 (v18(constB80) | (~v19(constB80))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22956, 3627, 22953])).
% 83.45/53.05 tff(22958,plain,
% 83.45/53.05 (~v19(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22957, 22949])).
% 83.45/53.05 tff(22959,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22960,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22961,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22960, 22959])).
% 83.45/53.05 tff(22962,plain,
% 83.45/53.05 (v13(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22961, 3639, 22958])).
% 83.45/53.05 tff(22963,plain,
% 83.45/53.05 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22964,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22965,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 83.45/53.05 tff(22966,plain,
% 83.45/53.05 (v9(constB79) | (~v13(constB80))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22965, 3653, 11346])).
% 83.45/53.05 tff(22967,plain,
% 83.45/53.05 (v9(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22966, 22962])).
% 83.45/53.05 tff(22968,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v184(constB79))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB79) | (~v9(constB79)) | v184(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22969,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v184(constB79))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22970,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB79) | (~v9(constB79)) | v184(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 83.45/53.05 tff(22971,plain,
% 83.45/53.05 ((~v9(constB79)) | v184(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22970, 3668, 11208])).
% 83.45/53.05 tff(22972,plain,
% 83.45/53.05 (v184(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22971, 22967])).
% 83.45/53.05 tff(22973,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB79)) | v183(constB79))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB79)) | v183(constB79))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22974,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB79)) | v183(constB79))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22975,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB79)) | v183(constB79)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22974, 22973])).
% 83.45/53.05 tff(22976,plain,
% 83.45/53.05 (v183(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22975, 3680, 22972])).
% 83.45/53.05 tff(22977,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB79)) | (~v183(constB79)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB79)) | (~v183(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22978,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB79)) | (~v183(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22979,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB79)) | (~v183(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22978, 22977])).
% 83.45/53.05 tff(22980,plain,
% 83.45/53.05 (~v181(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22979, 4247, 22976])).
% 83.45/53.05 tff(22981,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB79) | v185(constB79) | (~v178(constB79)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB79) | v185(constB79) | (~v178(constB79)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22982,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB79) | v185(constB79) | (~v178(constB79)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22983,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB79) | v185(constB79) | (~v178(constB79))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 83.45/53.05 tff(22984,plain,
% 83.45/53.05 (v185(constB79) | (~v178(constB79))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22983, 4261, 22980])).
% 83.45/53.05 tff(22985,plain,
% 83.45/53.05 (~v178(constB79)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22984, 22945])).
% 83.45/53.05 tff(22986,plain,
% 83.45/53.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB79, constB80)) | v178(constB79) | (~v180(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB79, constB80)) | v178(constB79) | (~v180(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22987,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB79, constB80)) | v178(constB79) | (~v180(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22988,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB79, constB80)) | v178(constB79) | (~v180(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22987, 22986])).
% 83.45/53.05 tff(22989,plain,
% 83.45/53.05 (v178(constB79) | (~v180(constB80))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22988, 4276, 11346])).
% 83.45/53.05 tff(22990,plain,
% 83.45/53.05 (~v180(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22989, 22985])).
% 83.45/53.05 tff(22991,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB80) | (~v181(constB80)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB80) | (~v181(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22992,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB80) | (~v181(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22993,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB80) | (~v181(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 83.45/53.05 tff(22994,plain,
% 83.45/53.05 (~v181(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22993, 4291, 22990])).
% 83.45/53.05 tff(22995,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB80)) | (~v184(constB80)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB80)) | (~v184(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(22996,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB80)) | (~v184(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(22997,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB80)) | (~v184(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 83.45/53.05 tff(22998,plain,
% 83.45/53.05 (~v184(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[22997, 3901, 11366])).
% 83.45/53.05 tff(22999,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB80) | (~v187(constB80)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB80) | (~v187(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23000,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB80) | (~v187(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23001,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB80) | (~v187(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 83.45/53.05 tff(23002,plain,
% 83.45/53.05 (~v187(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23001, 4309, 22998])).
% 83.45/53.05 tff(23003,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB80) | (~v185(constB80)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB80) | (~v185(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23004,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB80) | (~v185(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23005,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB80) | (~v185(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 83.45/53.05 tff(23006,plain,
% 83.45/53.05 (~v185(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23005, 4029, 23002])).
% 83.45/53.05 tff(23007,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB80) | v185(constB80) | (~v178(constB80)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB80) | v185(constB80) | (~v178(constB80)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23008,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB80) | v185(constB80) | (~v178(constB80)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23009,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB80) | v185(constB80) | (~v178(constB80))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 83.45/53.05 tff(23010,plain,
% 83.45/53.05 (v181(constB80) | (~v178(constB80))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23009, 4261, 23006])).
% 83.45/53.05 tff(23011,plain,
% 83.45/53.05 (~v178(constB80)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23010, 22994])).
% 83.45/53.05 tff(23012,plain,
% 83.45/53.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB80, constB81)) | v178(constB80) | (~v180(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB80, constB81)) | v178(constB80) | (~v180(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23013,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB80, constB81)) | v178(constB80) | (~v180(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23014,plain,
% 83.45/53.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB80, constB81)) | v178(constB80) | (~v180(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 83.45/53.05 tff(23015,plain,
% 83.45/53.05 (v178(constB80) | (~v180(constB81))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23014, 4276, 11408])).
% 83.45/53.05 tff(23016,plain,
% 83.45/53.05 (~v180(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23015, 23011])).
% 83.45/53.05 tff(23017,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB81) | (~v293(constB81)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB81) | (~v293(constB81)))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23018,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB81) | (~v293(constB81)))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23019,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB81) | (~v293(constB81))),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 83.45/53.05 tff(23020,plain,
% 83.45/53.05 (~v293(constB81)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23019, 4413, 23016])).
% 83.45/53.05 tff(23021,plain,
% 83.45/53.05 (~v130(constB75, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10575, 882, 10571])).
% 83.45/53.05 tff(23022,plain,
% 83.45/53.05 (v118(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10579, 628, 10571])).
% 83.45/53.05 tff(23023,plain,
% 83.45/53.05 (v117(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10586, 186, 23022])).
% 83.45/53.05 tff(23024,plain,
% 83.45/53.05 (v116(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10593, 200, 23023])).
% 83.45/53.05 tff(23025,plain,
% 83.45/53.05 (v115(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10600, 214, 23024])).
% 83.45/53.05 tff(23026,plain,
% 83.45/53.05 (v114(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10607, 228, 23025])).
% 83.45/53.05 tff(23027,plain,
% 83.45/53.05 (v113(constB75)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10614, 242, 23026])).
% 83.45/53.05 tff(23028,plain,
% 83.45/53.05 (~v90(constB76, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10698, 23027, 23021])).
% 83.45/53.05 tff(23029,plain,
% 83.45/53.05 (v100(constB76)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11033, 23028])).
% 83.45/53.05 tff(23030,plain,
% 83.45/53.05 (~v130(constB75, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11051, 744, 10571])).
% 83.45/53.05 tff(23031,plain,
% 83.45/53.05 (~v127(constB75, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10862, 23030])).
% 83.45/53.05 tff(23032,plain,
% 83.45/53.05 (~v129(constB76, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11057, 23031])).
% 83.45/53.05 tff(23033,plain,
% 83.45/53.05 ((~v90(constB76, 2)) | (~v100(constB76))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11061, 589, 23032])).
% 83.45/53.05 tff(23034,plain,
% 83.45/53.05 (~v90(constB76, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23033, 23029])).
% 83.45/53.05 tff(23035,plain,
% 83.45/53.05 (~v90(constB77, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11071, 23034])).
% 83.45/53.05 tff(23036,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23037,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB77, 2)) | v90(constB77, 2))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23038,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB77, 2)) | v90(constB77, 2)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 83.45/53.05 tff(23039,plain,
% 83.45/53.05 (~v88(constB77, 2)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23038, 3360, 23035])).
% 83.45/53.05 tff(23040,plain,
% 83.45/53.05 (~v90(constB77, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10725, 23028])).
% 83.45/53.05 tff(23041,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23042,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB77, 0)) | v90(constB77, 0))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23043,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB77, 0)) | v90(constB77, 0)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23042, 23041])).
% 83.45/53.05 tff(23044,plain,
% 83.45/53.05 (~v88(constB77, 0)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23043, 3705, 23040])).
% 83.45/53.05 tff(23045,plain,
% 83.45/53.05 (v130(constB75, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10909, 804, 10571])).
% 83.45/53.05 tff(23046,plain,
% 83.45/53.05 (v127(constB75, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10905, 23045])).
% 83.45/53.05 tff(23047,plain,
% 83.45/53.05 (v129(constB76, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10900, 23046])).
% 83.45/53.05 tff(23048,plain,
% 83.45/53.05 (v90(constB76, 1) | (~v100(constB76))),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[10894, 848, 23047])).
% 83.45/53.05 tff(23049,plain,
% 83.45/53.05 (v90(constB76, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23048, 23029])).
% 83.45/53.05 tff(23050,plain,
% 83.45/53.05 (v90(constB77, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[11047, 23049])).
% 83.45/53.05 tff(23051,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23052,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB77, 1)) | v88(constB77, 1))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23053,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB77, 1)) | v88(constB77, 1)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 83.45/53.05 tff(23054,plain,
% 83.45/53.05 (v88(constB77, 1)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23053, 3727, 23050])).
% 83.45/53.05 tff(23055,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23056,plain,
% 83.45/53.05 ((v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77)) <=> (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23057,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77)))),
% 83.45/53.05 inference(monotonicity,[status(thm)],[23056])).
% 83.45/53.05 tff(23058,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77))),
% 83.45/53.05 inference(transitivity,[status(thm)],[23057, 23055])).
% 83.45/53.05 tff(23059,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB77, 2) | (~v88(constB77, 1)) | v88(constB77, 0) | v143(constB77))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23060,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB77, 0) | v88(constB77, 2) | (~v88(constB77, 1)) | v143(constB77)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 83.45/53.05 tff(23061,plain,
% 83.45/53.05 (v143(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23060, 15886, 23054, 23044, 23039])).
% 83.45/53.05 tff(23062,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23063,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB77)) | v142(constB77))),
% 83.45/53.05 inference(quant_inst,[status(thm)],[])).
% 83.45/53.05 tff(23064,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB77)) | v142(constB77)),
% 83.45/53.05 inference(modus_ponens,[status(thm)],[23063, 23062])).
% 83.45/53.05 tff(23065,plain,
% 83.45/53.05 (v142(constB77)),
% 83.45/53.05 inference(unit_resolution,[status(thm)],[23064, 15900, 23061])).
% 83.45/53.05 tff(23066,plain,
% 83.45/53.05 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB77)) | v227(constB77))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB77)) | v227(constB77))),
% 83.45/53.05 inference(rewrite,[status(thm)],[])).
% 83.45/53.05 tff(23067,plain,
% 83.45/53.05 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB77)) | v227(constB77))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23068,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB77)) | v227(constB77)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23067, 23066])).
% 83.45/53.06 tff(23069,plain,
% 83.45/53.06 (v227(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23068, 3766, 23065])).
% 83.45/53.06 tff(23070,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB77) | (~v227(constB77)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB77) | (~v227(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23071,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB77) | (~v227(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23072,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB77) | (~v227(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23071, 23070])).
% 83.45/53.06 tff(23073,plain,
% 83.45/53.06 (v226(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23072, 3517, 23069])).
% 83.45/53.06 tff(23074,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23075,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB77)) | (~v88(constB77, 1)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23076,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB77)) | (~v88(constB77, 1))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23075, 23074])).
% 83.45/53.06 tff(23077,plain,
% 83.45/53.06 (~v139(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23076, 3958, 23054])).
% 83.45/53.06 tff(23078,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23079,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB77)) | (~v88(constB77, 1)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23080,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB77)) | (~v88(constB77, 1))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23079, 23078])).
% 83.45/53.06 tff(23081,plain,
% 83.45/53.06 (~v140(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23080, 3969, 23054])).
% 83.45/53.06 tff(23082,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v168(constB77)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB77) | v140(constB77) | (~v168(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23083,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB77) | v140(constB77) | (~v168(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23084,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB77) | v140(constB77) | (~v168(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 83.45/53.06 tff(23085,plain,
% 83.45/53.06 (~v168(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23084, 3983, 23081, 23077])).
% 83.45/53.06 tff(23086,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB77)) | v168(constB77) | (~v226(constB77)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v226(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23087,plain,
% 83.45/53.06 (((~v226(constB77)) | v168(constB77) | (~v161(constB77))) <=> ((~v161(constB77)) | v168(constB77) | (~v226(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23088,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB77)) | v168(constB77) | (~v161(constB77)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB77)) | v168(constB77) | (~v226(constB77))))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23087])).
% 83.45/53.06 tff(23089,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB77)) | v168(constB77) | (~v161(constB77)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v226(constB77)))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23088, 23086])).
% 83.45/53.06 tff(23090,plain,
% 83.45/53.06 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB77)) | v168(constB77) | (~v161(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23091,plain,
% 83.45/53.06 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB77)) | v168(constB77) | (~v226(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 83.45/53.06 tff(23092,plain,
% 83.45/53.06 ((~v161(constB77)) | (~v226(constB77))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23091, 3997, 23085])).
% 83.45/53.06 tff(23093,plain,
% 83.45/53.06 (~v161(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23092, 23073])).
% 83.45/53.06 tff(23094,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB77) | (~v187(constB77)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB77) | (~v187(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23095,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB77) | (~v187(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23096,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB77) | (~v187(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 83.45/53.06 tff(23097,plain,
% 83.45/53.06 (~v187(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23096, 4015, 23093])).
% 83.45/53.06 tff(23098,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23099,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB77) | (~v185(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23100,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB77) | (~v185(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23099, 23098])).
% 83.45/53.06 tff(23101,plain,
% 83.45/53.06 (~v185(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23100, 4029, 23097])).
% 83.45/53.06 tff(23102,assumption,(v18(constB78)), introduced(assumption)).
% 83.45/53.06 tff(23103,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB78))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23104,plain,
% 83.45/53.06 ($false),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23103, 3600, 23102])).
% 83.45/53.06 tff(23105,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.06 tff(23106,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23107,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23108,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23107, 23106])).
% 83.45/53.06 tff(23109,plain,
% 83.45/53.06 (v22(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23108, 3613, 11165])).
% 83.45/53.06 tff(23110,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23111,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23112,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23111, 23110])).
% 83.45/53.06 tff(23113,plain,
% 83.45/53.06 (v18(constB78) | (~v19(constB78))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23112, 3627, 23109])).
% 83.45/53.06 tff(23114,plain,
% 83.45/53.06 (~v19(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23113, 23105])).
% 83.45/53.06 tff(23115,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23116,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23117,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 83.45/53.06 tff(23118,plain,
% 83.45/53.06 (v13(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23117, 3639, 23114])).
% 83.45/53.06 tff(23119,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23120,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23121,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 83.45/53.06 tff(23122,plain,
% 83.45/53.06 (v9(constB77) | (~v13(constB78))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23121, 3653, 11145])).
% 83.45/53.06 tff(23123,plain,
% 83.45/53.06 (v9(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23122, 23118])).
% 83.45/53.06 tff(23124,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v184(constB77))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB77) | (~v9(constB77)) | v184(constB77))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23125,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v184(constB77))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23126,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB77) | (~v9(constB77)) | v184(constB77)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23125, 23124])).
% 83.45/53.06 tff(23127,plain,
% 83.45/53.06 ((~v9(constB77)) | v184(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23126, 3668, 10702])).
% 83.45/53.06 tff(23128,plain,
% 83.45/53.06 (v184(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23127, 23123])).
% 83.45/53.06 tff(23129,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB77) | (~v184(constB77)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23130,plain,
% 83.45/53.06 (((~v184(constB77)) | v183(constB77)) <=> (v183(constB77) | (~v184(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23131,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB77) | (~v184(constB77))))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23130])).
% 83.45/53.06 tff(23132,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77)))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23131, 23129])).
% 83.45/53.06 tff(23133,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB77)) | v183(constB77))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23134,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB77) | (~v184(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23133, 23132])).
% 83.45/53.06 tff(23135,plain,
% 83.45/53.06 (v183(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23134, 3680, 23128])).
% 83.45/53.06 tff(23136,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB77)) | (~v183(constB77)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB77)) | (~v183(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23137,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB77)) | (~v183(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23138,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB77)) | (~v183(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23137, 23136])).
% 83.45/53.06 tff(23139,plain,
% 83.45/53.06 (~v181(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23138, 4247, 23135])).
% 83.45/53.06 tff(23140,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23141,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB77) | v185(constB77) | (~v178(constB77)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23142,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB77) | v185(constB77) | (~v178(constB77))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23141, 23140])).
% 83.45/53.06 tff(23143,plain,
% 83.45/53.06 (v185(constB77) | (~v178(constB77))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23142, 4261, 23139])).
% 83.45/53.06 tff(23144,plain,
% 83.45/53.06 (~v178(constB77)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23143, 23101])).
% 83.45/53.06 tff(23145,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23146,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23147,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB77, constB78)) | v178(constB77) | (~v180(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23146, 23145])).
% 83.45/53.06 tff(23148,plain,
% 83.45/53.06 (v178(constB77) | (~v180(constB78))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23147, 4276, 11145])).
% 83.45/53.06 tff(23149,plain,
% 83.45/53.06 (~v180(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23148, 23144])).
% 83.45/53.06 tff(23150,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23151,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB78) | (~v181(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23152,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB78) | (~v181(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 83.45/53.06 tff(23153,plain,
% 83.45/53.06 (~v181(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23152, 4291, 23149])).
% 83.45/53.06 tff(23154,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23155,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB78)) | (~v184(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23156,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB78)) | (~v184(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 83.45/53.06 tff(23157,plain,
% 83.45/53.06 (~v184(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23156, 3901, 11165])).
% 83.45/53.06 tff(23158,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23159,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB78) | (~v187(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23160,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB78) | (~v187(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23159, 23158])).
% 83.45/53.06 tff(23161,plain,
% 83.45/53.06 (~v187(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23160, 4309, 23157])).
% 83.45/53.06 tff(23162,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23163,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB78) | (~v185(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23164,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB78) | (~v185(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 83.45/53.06 tff(23165,plain,
% 83.45/53.06 (~v185(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23164, 4029, 23161])).
% 83.45/53.06 tff(23166,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23167,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB78) | v185(constB78) | (~v178(constB78)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23168,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB78) | v185(constB78) | (~v178(constB78))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23167, 23166])).
% 83.45/53.06 tff(23169,plain,
% 83.45/53.06 (v181(constB78) | (~v178(constB78))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23168, 4261, 23165])).
% 83.45/53.06 tff(23170,plain,
% 83.45/53.06 (~v178(constB78)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23169, 23153])).
% 83.45/53.06 tff(23171,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23172,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23173,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB78, constB79)) | v178(constB78) | (~v180(constB79))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 83.45/53.06 tff(23174,plain,
% 83.45/53.06 (v178(constB78) | (~v180(constB79))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23173, 4276, 11211])).
% 83.45/53.06 tff(23175,plain,
% 83.45/53.06 (~v180(constB79)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23174, 23170])).
% 83.45/53.06 tff(23176,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB79) | (~v215(constB79)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB79) | (~v215(constB79)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23177,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB79) | (~v215(constB79)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23178,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB79) | (~v215(constB79))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23177, 23176])).
% 83.45/53.06 tff(23179,plain,
% 83.45/53.06 (~v215(constB79)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23178, 4427, 23175])).
% 83.45/53.06 tff(23180,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB79)) | (~v214(constB79)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB79)) | (~v214(constB79)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23181,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB79)) | (~v214(constB79)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23182,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB79)) | (~v214(constB79))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 83.45/53.06 tff(23183,plain,
% 83.45/53.06 (~v214(constB79)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23182, 4593, 22976])).
% 83.45/53.06 tff(23184,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB79) | v215(constB79) | (~v211(constB79)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB79) | v215(constB79) | (~v211(constB79)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23185,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB79) | v215(constB79) | (~v211(constB79)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23186,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB79) | v215(constB79) | (~v211(constB79))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 83.45/53.06 tff(23187,plain,
% 83.45/53.06 (v215(constB79) | (~v211(constB79))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23186, 4607, 23183])).
% 83.45/53.06 tff(23188,plain,
% 83.45/53.06 (~v211(constB79)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23187, 23179])).
% 83.45/53.06 tff(23189,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB79, constB80)) | v211(constB79) | (~v213(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB79, constB80)) | v211(constB79) | (~v213(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23190,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB79, constB80)) | v211(constB79) | (~v213(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23191,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB79, constB80)) | v211(constB79) | (~v213(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23190, 23189])).
% 83.45/53.06 tff(23192,plain,
% 83.45/53.06 (v211(constB79) | (~v213(constB80))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23191, 4622, 11346])).
% 83.45/53.06 tff(23193,plain,
% 83.45/53.06 (~v213(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23192, 23188])).
% 83.45/53.06 tff(23194,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB80) | (~v214(constB80)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB80) | (~v214(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23195,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB80) | (~v214(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23196,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB80) | (~v214(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 83.45/53.06 tff(23197,plain,
% 83.45/53.06 (~v214(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23196, 4637, 23193])).
% 83.45/53.06 tff(23198,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB80) | (~v217(constB80)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB80) | (~v217(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23199,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB80) | (~v217(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23200,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB80) | (~v217(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 83.45/53.06 tff(23201,plain,
% 83.45/53.06 (~v217(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23200, 4651, 22998])).
% 83.45/53.06 tff(23202,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB80) | (~v216(constB80)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB80) | (~v216(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23203,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB80) | (~v216(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23204,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB80) | (~v216(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 83.45/53.06 tff(23205,plain,
% 83.45/53.06 (~v216(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23204, 4565, 23201])).
% 83.45/53.06 tff(23206,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB80) | (~v215(constB80)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB80) | (~v215(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23207,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB80) | (~v215(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23208,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB80) | (~v215(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 83.45/53.06 tff(23209,plain,
% 83.45/53.06 (~v215(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23208, 4579, 23205])).
% 83.45/53.06 tff(23210,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB80) | v215(constB80) | (~v211(constB80)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB80) | v215(constB80) | (~v211(constB80)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23211,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB80) | v215(constB80) | (~v211(constB80)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23212,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB80) | v215(constB80) | (~v211(constB80))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23211, 23210])).
% 83.45/53.06 tff(23213,plain,
% 83.45/53.06 (v214(constB80) | (~v211(constB80))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23212, 4607, 23209])).
% 83.45/53.06 tff(23214,plain,
% 83.45/53.06 (~v211(constB80)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23213, 23197])).
% 83.45/53.06 tff(23215,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB80, constB81)) | v211(constB80) | (~v213(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB80, constB81)) | v211(constB80) | (~v213(constB81)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23216,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB80, constB81)) | v211(constB80) | (~v213(constB81)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23217,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB80, constB81)) | v211(constB80) | (~v213(constB81))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 83.45/53.06 tff(23218,plain,
% 83.45/53.06 (v211(constB80) | (~v213(constB81))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23217, 4622, 11408])).
% 83.45/53.06 tff(23219,plain,
% 83.45/53.06 (~v213(constB81)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23218, 23214])).
% 83.45/53.06 tff(23220,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB81) | (~v297(constB81)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB81) | (~v297(constB81)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23221,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB81) | (~v297(constB81)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23222,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB81) | (~v297(constB81))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 83.45/53.06 tff(23223,plain,
% 83.45/53.06 (~v297(constB81)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23222, 4767, 23219])).
% 83.45/53.06 tff(23224,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB81) | v297(constB81) | (~v292(constB81)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB81) | v297(constB81) | (~v292(constB81)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23225,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB81) | v297(constB81) | (~v292(constB81)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23226,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB81) | v297(constB81) | (~v292(constB81))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 83.45/53.06 tff(23227,plain,
% 83.45/53.06 (v293(constB81) | (~v292(constB81))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23226, 4781, 23223])).
% 83.45/53.06 tff(23228,plain,
% 83.45/53.06 (~v292(constB81)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23227, 23020])).
% 83.45/53.06 tff(23229,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB81) | v290(constB81) | v302(constB81))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB81) | v290(constB81) | v302(constB81))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23230,plain,
% 83.45/53.06 ((v292(constB81) | v302(constB81) | v290(constB81)) <=> (v292(constB81) | v290(constB81) | v302(constB81))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23231,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB81) | v302(constB81) | v290(constB81))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB81) | v290(constB81) | v302(constB81)))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23230])).
% 83.45/53.06 tff(23232,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB81) | v302(constB81) | v290(constB81))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB81) | v290(constB81) | v302(constB81))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23231, 23229])).
% 83.45/53.06 tff(23233,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB81) | v302(constB81) | v290(constB81))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23234,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB81) | v290(constB81) | v302(constB81)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23233, 23232])).
% 83.45/53.06 tff(23235,plain,
% 83.45/53.06 (v290(constB81) | v302(constB81)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23234, 5074, 23228])).
% 83.45/53.06 tff(23236,plain,
% 83.45/53.06 (v290(constB81)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23235, 22860])).
% 83.45/53.06 tff(23237,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23238,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23239,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 83.45/53.06 tff(23240,plain,
% 83.45/53.06 (v88(constB71, 0)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23239, 3447, 10103])).
% 83.45/53.06 tff(23241,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23242,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23243,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 83.45/53.06 tff(23244,plain,
% 83.45/53.06 (~v88(constB71, 1)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23243, 3405, 10137])).
% 83.45/53.06 tff(23245,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23246,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23247,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23246, 23245])).
% 83.45/53.06 tff(23248,plain,
% 83.45/53.06 (v88(constB71, 2)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23247, 3716, 10180])).
% 83.45/53.06 tff(23249,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23250,plain,
% 83.45/53.06 (((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71)) <=> (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23251,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71)))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23250])).
% 83.45/53.06 tff(23252,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23251, 23249])).
% 83.45/53.06 tff(23253,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23254,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23253, 23252])).
% 83.45/53.06 tff(23255,plain,
% 83.45/53.06 (v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23254, 4081, 23248])).
% 83.45/53.06 tff(23256,plain,
% 83.45/53.06 (v147(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23255, 23244, 23240])).
% 83.45/53.06 tff(23257,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23258,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23259,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 83.45/53.06 tff(23260,plain,
% 83.45/53.06 (v145(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23259, 4095, 23256])).
% 83.45/53.06 tff(23261,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB71) | (~v145(constB71)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB71) | (~v145(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23262,plain,
% 83.45/53.06 (((~v145(constB71)) | v226(constB71)) <=> (v226(constB71) | (~v145(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23263,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB71)) | v226(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB71) | (~v145(constB71))))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23262])).
% 83.45/53.06 tff(23264,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB71)) | v226(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB71) | (~v145(constB71)))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23263, 23261])).
% 83.45/53.06 tff(23265,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB71)) | v226(constB71))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23266,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB71) | (~v145(constB71))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 83.45/53.06 tff(23267,plain,
% 83.45/53.06 (v226(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23266, 4106, 23260])).
% 83.45/53.06 tff(23268,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB71)) | (~v88(constB71, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB71)) | (~v88(constB71, 2)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23269,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB71)) | (~v88(constB71, 2)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23270,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB71)) | (~v88(constB71, 2))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 83.45/53.06 tff(23271,plain,
% 83.45/53.06 (~v139(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23270, 4139, 23248])).
% 83.45/53.06 tff(23272,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23273,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23274,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23273, 23272])).
% 83.45/53.06 tff(23275,plain,
% 83.45/53.06 (~v140(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23274, 4044, 23248])).
% 83.45/53.06 tff(23276,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v168(constB71)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB71) | v140(constB71) | (~v168(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23277,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v168(constB71)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23278,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB71) | v140(constB71) | (~v168(constB71))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 83.45/53.06 tff(23279,plain,
% 83.45/53.06 (~v168(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23278, 3983, 23275, 23271])).
% 83.45/53.06 tff(23280,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB71)) | v168(constB71) | (~v226(constB71)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v226(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23281,plain,
% 83.45/53.06 (((~v226(constB71)) | v168(constB71) | (~v161(constB71))) <=> ((~v161(constB71)) | v168(constB71) | (~v226(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23282,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB71)) | v168(constB71) | (~v161(constB71)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB71)) | v168(constB71) | (~v226(constB71))))),
% 83.45/53.06 inference(monotonicity,[status(thm)],[23281])).
% 83.45/53.06 tff(23283,plain,
% 83.45/53.06 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB71)) | v168(constB71) | (~v161(constB71)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v226(constB71)))),
% 83.45/53.06 inference(transitivity,[status(thm)],[23282, 23280])).
% 83.45/53.06 tff(23284,plain,
% 83.45/53.06 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB71)) | v168(constB71) | (~v161(constB71)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23285,plain,
% 83.45/53.06 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB71)) | v168(constB71) | (~v226(constB71))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23284, 23283])).
% 83.45/53.06 tff(23286,plain,
% 83.45/53.06 ((~v161(constB71)) | (~v226(constB71))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23285, 3997, 23279])).
% 83.45/53.06 tff(23287,plain,
% 83.45/53.06 (~v161(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23286, 23267])).
% 83.45/53.06 tff(23288,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB71) | (~v187(constB71)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB71) | (~v187(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23289,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB71) | (~v187(constB71)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23290,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB71) | (~v187(constB71))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 83.45/53.06 tff(23291,plain,
% 83.45/53.06 (~v187(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23290, 4015, 23287])).
% 83.45/53.06 tff(23292,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23293,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23294,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 83.45/53.06 tff(23295,plain,
% 83.45/53.06 (~v185(constB71)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23294, 4029, 23291])).
% 83.45/53.06 tff(23296,assumption,(v18(constB72)), introduced(assumption)).
% 83.45/53.06 tff(23297,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB72))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23298,plain,
% 83.45/53.06 ($false),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23297, 3600, 23296])).
% 83.45/53.06 tff(23299,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.06 tff(23300,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23301,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23302,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23301, 23300])).
% 83.45/53.06 tff(23303,plain,
% 83.45/53.06 (v22(constB72)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23302, 3613, 10232])).
% 83.45/53.06 tff(23304,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23305,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23306,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72))),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23305, 23304])).
% 83.45/53.06 tff(23307,plain,
% 83.45/53.06 (v18(constB72) | (~v19(constB72))),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23306, 3627, 23303])).
% 83.45/53.06 tff(23308,plain,
% 83.45/53.06 (~v19(constB72)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23307, 23299])).
% 83.45/53.06 tff(23309,plain,
% 83.45/53.06 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23310,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23311,plain,
% 83.45/53.06 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 83.45/53.06 inference(modus_ponens,[status(thm)],[23310, 23309])).
% 83.45/53.06 tff(23312,plain,
% 83.45/53.06 (v13(constB72)),
% 83.45/53.06 inference(unit_resolution,[status(thm)],[23311, 3639, 23308])).
% 83.45/53.06 tff(23313,plain,
% 83.45/53.06 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 83.45/53.06 inference(rewrite,[status(thm)],[])).
% 83.45/53.06 tff(23314,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 83.45/53.06 inference(quant_inst,[status(thm)],[])).
% 83.45/53.06 tff(23315,plain,
% 83.45/53.06 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23314, 23313])).
% 83.45/53.07 tff(23316,plain,
% 83.45/53.07 (v9(constB71) | (~v13(constB72))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23315, 3653, 10212])).
% 83.45/53.07 tff(23317,plain,
% 83.45/53.07 (v9(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23316, 23312])).
% 83.45/53.07 tff(23318,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v184(constB71))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB71) | (~v9(constB71)) | v184(constB71))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23319,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v184(constB71))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23320,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB71) | (~v9(constB71)) | v184(constB71)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23319, 23318])).
% 83.45/53.07 tff(23321,plain,
% 83.45/53.07 ((~v9(constB71)) | v184(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23320, 3668, 10079])).
% 83.45/53.07 tff(23322,plain,
% 83.45/53.07 (v184(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23321, 23317])).
% 83.45/53.07 tff(23323,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB71) | (~v184(constB71)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB71) | (~v184(constB71)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23324,plain,
% 83.45/53.07 (((~v184(constB71)) | v183(constB71)) <=> (v183(constB71) | (~v184(constB71)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23325,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB71)) | v183(constB71))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB71) | (~v184(constB71))))),
% 83.45/53.07 inference(monotonicity,[status(thm)],[23324])).
% 83.45/53.07 tff(23326,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB71)) | v183(constB71))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB71) | (~v184(constB71)))),
% 83.45/53.07 inference(transitivity,[status(thm)],[23325, 23323])).
% 83.45/53.07 tff(23327,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB71)) | v183(constB71))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23328,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB71) | (~v184(constB71))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23327, 23326])).
% 83.45/53.07 tff(23329,plain,
% 83.45/53.07 (v183(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23328, 3680, 23322])).
% 83.45/53.07 tff(23330,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB71)) | (~v183(constB71)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB71)) | (~v183(constB71)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23331,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB71)) | (~v183(constB71)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23332,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB71)) | (~v183(constB71))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23331, 23330])).
% 83.45/53.07 tff(23333,plain,
% 83.45/53.07 (~v181(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23332, 4247, 23329])).
% 83.45/53.07 tff(23334,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23335,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23336,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23335, 23334])).
% 83.45/53.07 tff(23337,plain,
% 83.45/53.07 (v185(constB71) | (~v178(constB71))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23336, 4261, 23333])).
% 83.45/53.07 tff(23338,plain,
% 83.45/53.07 (~v178(constB71)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23337, 23295])).
% 83.45/53.07 tff(23339,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23340,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23341,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 83.45/53.07 tff(23342,plain,
% 83.45/53.07 (v178(constB71) | (~v180(constB72))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23341, 4276, 10212])).
% 83.45/53.07 tff(23343,plain,
% 83.45/53.07 (~v180(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23342, 23338])).
% 83.45/53.07 tff(23344,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23345,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23346,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 83.45/53.07 tff(23347,plain,
% 83.45/53.07 (~v181(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23346, 4291, 23343])).
% 83.45/53.07 tff(23348,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23349,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23350,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 83.45/53.07 tff(23351,plain,
% 83.45/53.07 (~v184(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23350, 3901, 10232])).
% 83.45/53.07 tff(23352,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23353,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23354,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 83.45/53.07 tff(23355,plain,
% 83.45/53.07 (~v187(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23354, 4309, 23351])).
% 83.45/53.07 tff(23356,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23357,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23358,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23357, 23356])).
% 83.45/53.07 tff(23359,plain,
% 83.45/53.07 (~v185(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23358, 4029, 23355])).
% 83.45/53.07 tff(23360,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23361,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23362,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23361, 23360])).
% 83.45/53.07 tff(23363,plain,
% 83.45/53.07 (v181(constB72) | (~v178(constB72))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23362, 4261, 23359])).
% 83.45/53.07 tff(23364,plain,
% 83.45/53.07 (~v178(constB72)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23363, 23347])).
% 83.45/53.07 tff(23365,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23366,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23367,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 83.45/53.07 tff(23368,plain,
% 83.45/53.07 (v178(constB72) | (~v180(constB73))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23367, 4276, 10274])).
% 83.45/53.07 tff(23369,plain,
% 83.45/53.07 (~v180(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23368, 23364])).
% 83.45/53.07 tff(23370,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB73) | (~v215(constB73)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB73) | (~v215(constB73)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23371,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB73) | (~v215(constB73)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23372,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB73) | (~v215(constB73))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 83.45/53.07 tff(23373,plain,
% 83.45/53.07 (~v215(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23372, 4427, 23369])).
% 83.45/53.07 tff(23374,assumption,(v18(constB74)), introduced(assumption)).
% 83.45/53.07 tff(23375,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB74))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23376,plain,
% 83.45/53.07 ($false),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23375, 3600, 23374])).
% 83.45/53.07 tff(23377,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.07 tff(23378,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23379,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23380,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23379, 23378])).
% 83.45/53.07 tff(23381,plain,
% 83.45/53.07 (v22(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23380, 3613, 10459])).
% 83.45/53.07 tff(23382,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23383,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23384,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 83.45/53.07 tff(23385,plain,
% 83.45/53.07 (v18(constB74) | (~v19(constB74))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23384, 3627, 23381])).
% 83.45/53.07 tff(23386,plain,
% 83.45/53.07 (~v19(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23385, 23377])).
% 83.45/53.07 tff(23387,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23388,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23389,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23388, 23387])).
% 83.45/53.07 tff(23390,plain,
% 83.45/53.07 (v13(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23389, 3639, 23386])).
% 83.45/53.07 tff(23391,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23392,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23393,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 83.45/53.07 tff(23394,plain,
% 83.45/53.07 (v9(constB73) | (~v13(constB74))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23393, 3653, 10369])).
% 83.45/53.07 tff(23395,plain,
% 83.45/53.07 (v9(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23394, 23390])).
% 83.45/53.07 tff(23396,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v184(constB73))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB73) | (~v9(constB73)) | v184(constB73))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23397,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v184(constB73))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23398,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB73) | (~v9(constB73)) | v184(constB73)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23397, 23396])).
% 83.45/53.07 tff(23399,plain,
% 83.45/53.07 ((~v9(constB73)) | v184(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23398, 3668, 10271])).
% 83.45/53.07 tff(23400,plain,
% 83.45/53.07 (v184(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23399, 23395])).
% 83.45/53.07 tff(23401,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB73)) | v183(constB73))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB73)) | v183(constB73))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23402,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB73)) | v183(constB73))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23403,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB73)) | v183(constB73)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23402, 23401])).
% 83.45/53.07 tff(23404,plain,
% 83.45/53.07 (v183(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23403, 3680, 23400])).
% 83.45/53.07 tff(23405,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB73)) | (~v214(constB73)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB73)) | (~v214(constB73)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23406,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB73)) | (~v214(constB73)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23407,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB73)) | (~v214(constB73))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23406, 23405])).
% 83.45/53.07 tff(23408,plain,
% 83.45/53.07 (~v214(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23407, 4593, 23404])).
% 83.45/53.07 tff(23409,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB73) | v215(constB73) | (~v211(constB73)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB73) | v215(constB73) | (~v211(constB73)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23410,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB73) | v215(constB73) | (~v211(constB73)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23411,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB73) | v215(constB73) | (~v211(constB73))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 83.45/53.07 tff(23412,plain,
% 83.45/53.07 (v215(constB73) | (~v211(constB73))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23411, 4607, 23408])).
% 83.45/53.07 tff(23413,plain,
% 83.45/53.07 (~v211(constB73)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23412, 23373])).
% 83.45/53.07 tff(23414,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB73, constB74)) | v211(constB73) | (~v213(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB73, constB74)) | v211(constB73) | (~v213(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23415,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB73, constB74)) | v211(constB73) | (~v213(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23416,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB73, constB74)) | v211(constB73) | (~v213(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23415, 23414])).
% 83.45/53.07 tff(23417,plain,
% 83.45/53.07 (v211(constB73) | (~v213(constB74))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23416, 4622, 10369])).
% 83.45/53.07 tff(23418,plain,
% 83.45/53.07 (~v213(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23417, 23413])).
% 83.45/53.07 tff(23419,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB74) | (~v214(constB74)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB74) | (~v214(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23420,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB74) | (~v214(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23421,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB74) | (~v214(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 83.45/53.07 tff(23422,plain,
% 83.45/53.07 (~v214(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23421, 4637, 23418])).
% 83.45/53.07 tff(23423,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB74)) | (~v184(constB74)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB74)) | (~v184(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23424,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB74)) | (~v184(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23425,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB74)) | (~v184(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23424, 23423])).
% 83.45/53.07 tff(23426,plain,
% 83.45/53.07 (~v184(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23425, 3901, 10459])).
% 83.45/53.07 tff(23427,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB74) | (~v217(constB74)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB74) | (~v217(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23428,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB74) | (~v217(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23429,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB74) | (~v217(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23428, 23427])).
% 83.45/53.07 tff(23430,plain,
% 83.45/53.07 (~v217(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23429, 4651, 23426])).
% 83.45/53.07 tff(23431,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB74) | (~v216(constB74)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB74) | (~v216(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23432,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB74) | (~v216(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23433,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB74) | (~v216(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23432, 23431])).
% 83.45/53.07 tff(23434,plain,
% 83.45/53.07 (~v216(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23433, 4565, 23430])).
% 83.45/53.07 tff(23435,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB74) | (~v215(constB74)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB74) | (~v215(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23436,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB74) | (~v215(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23437,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB74) | (~v215(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 83.45/53.07 tff(23438,plain,
% 83.45/53.07 (~v215(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23437, 4579, 23434])).
% 83.45/53.07 tff(23439,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB74) | v215(constB74) | (~v211(constB74)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB74) | v215(constB74) | (~v211(constB74)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23440,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB74) | v215(constB74) | (~v211(constB74)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23441,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB74) | v215(constB74) | (~v211(constB74))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23440, 23439])).
% 83.45/53.07 tff(23442,plain,
% 83.45/53.07 (v214(constB74) | (~v211(constB74))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23441, 4607, 23438])).
% 83.45/53.07 tff(23443,plain,
% 83.45/53.07 (~v211(constB74)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23442, 23422])).
% 83.45/53.07 tff(23444,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB74, constB75)) | v211(constB74) | (~v213(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB74, constB75)) | v211(constB74) | (~v213(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23445,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB74, constB75)) | v211(constB74) | (~v213(constB75)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23446,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB74, constB75)) | v211(constB74) | (~v213(constB75))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23445, 23444])).
% 83.45/53.07 tff(23447,plain,
% 83.45/53.07 (v211(constB74) | (~v213(constB75))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23446, 4622, 10483])).
% 83.45/53.07 tff(23448,plain,
% 83.45/53.07 (~v213(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23447, 23443])).
% 83.45/53.07 tff(23449,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB75) | (~v245(constB75)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB75) | (~v245(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23450,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB75) | (~v245(constB75)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23451,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB75) | (~v245(constB75))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23450, 23449])).
% 83.45/53.07 tff(23452,plain,
% 83.45/53.07 (~v245(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23451, 4796, 23448])).
% 83.45/53.07 tff(23453,assumption,(v18(constB76)), introduced(assumption)).
% 83.45/53.07 tff(23454,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB76))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23455,plain,
% 83.45/53.07 ($false),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23454, 3600, 23453])).
% 83.45/53.07 tff(23456,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.07 tff(23457,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23458,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23459,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23458, 23457])).
% 83.45/53.07 tff(23460,plain,
% 83.45/53.07 (v22(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23459, 3613, 10667])).
% 83.45/53.07 tff(23461,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23462,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23463,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 83.45/53.07 tff(23464,plain,
% 83.45/53.07 (v18(constB76) | (~v19(constB76))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23463, 3627, 23460])).
% 83.45/53.07 tff(23465,plain,
% 83.45/53.07 (~v19(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23464, 23456])).
% 83.45/53.07 tff(23466,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23467,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23468,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23467, 23466])).
% 83.45/53.07 tff(23469,plain,
% 83.45/53.07 (v13(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23468, 3639, 23465])).
% 83.45/53.07 tff(23470,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23471,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23472,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23471, 23470])).
% 83.45/53.07 tff(23473,plain,
% 83.45/53.07 (v9(constB75) | (~v13(constB76))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23472, 3653, 10641])).
% 83.45/53.07 tff(23474,plain,
% 83.45/53.07 (v9(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23473, 23469])).
% 83.45/53.07 tff(23475,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v184(constB75))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB75) | (~v9(constB75)) | v184(constB75))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23476,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v184(constB75))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23477,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB75) | (~v9(constB75)) | v184(constB75)),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 83.45/53.07 tff(23478,plain,
% 83.45/53.07 ((~v9(constB75)) | v184(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23477, 3668, 10480])).
% 83.45/53.07 tff(23479,plain,
% 83.45/53.07 (v184(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23478, 23474])).
% 83.45/53.07 tff(23480,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB75) | (~v184(constB75)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB75) | (~v184(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23481,plain,
% 83.45/53.07 (((~v184(constB75)) | v183(constB75)) <=> (v183(constB75) | (~v184(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23482,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB75)) | v183(constB75))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB75) | (~v184(constB75))))),
% 83.45/53.07 inference(monotonicity,[status(thm)],[23481])).
% 83.45/53.07 tff(23483,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB75)) | v183(constB75))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB75) | (~v184(constB75)))),
% 83.45/53.07 inference(transitivity,[status(thm)],[23482, 23480])).
% 83.45/53.07 tff(23484,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB75)) | v183(constB75))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23485,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB75) | (~v184(constB75))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 83.45/53.07 tff(23486,plain,
% 83.45/53.07 (v183(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23485, 3680, 23479])).
% 83.45/53.07 tff(23487,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB75)) | (~v244(constB75)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB75)) | (~v244(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23488,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB75)) | (~v244(constB75)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23489,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB75)) | (~v244(constB75))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23488, 23487])).
% 83.45/53.07 tff(23490,plain,
% 83.45/53.07 (~v244(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23489, 4891, 23486])).
% 83.45/53.07 tff(23491,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB75) | v245(constB75) | (~v241(constB75)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB75) | v245(constB75) | (~v241(constB75)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23492,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB75) | v245(constB75) | (~v241(constB75)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23493,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB75) | v245(constB75) | (~v241(constB75))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 83.45/53.07 tff(23494,plain,
% 83.45/53.07 (v245(constB75) | (~v241(constB75))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23493, 4905, 23490])).
% 83.45/53.07 tff(23495,plain,
% 83.45/53.07 (~v241(constB75)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23494, 23452])).
% 83.45/53.07 tff(23496,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB75, constB76)) | v241(constB75) | (~v243(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB75, constB76)) | v241(constB75) | (~v243(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23497,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB75, constB76)) | v241(constB75) | (~v243(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23498,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB75, constB76)) | v241(constB75) | (~v243(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 83.45/53.07 tff(23499,plain,
% 83.45/53.07 (v241(constB75) | (~v243(constB76))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23498, 4920, 10641])).
% 83.45/53.07 tff(23500,plain,
% 83.45/53.07 (~v243(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23499, 23495])).
% 83.45/53.07 tff(23501,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB76) | (~v244(constB76)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB76) | (~v244(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23502,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB76) | (~v244(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23503,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB76) | (~v244(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 83.45/53.07 tff(23504,plain,
% 83.45/53.07 (~v244(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23503, 4935, 23500])).
% 83.45/53.07 tff(23505,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB76)) | (~v184(constB76)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB76)) | (~v184(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23506,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB76)) | (~v184(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23507,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB76)) | (~v184(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23506, 23505])).
% 83.45/53.07 tff(23508,plain,
% 83.45/53.07 (~v184(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23507, 3901, 10667])).
% 83.45/53.07 tff(23509,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB76) | (~v247(constB76)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB76) | (~v247(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23510,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB76) | (~v247(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23511,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB76) | (~v247(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23510, 23509])).
% 83.45/53.07 tff(23512,plain,
% 83.45/53.07 (~v247(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23511, 4949, 23508])).
% 83.45/53.07 tff(23513,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB76) | (~v246(constB76)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB76) | (~v246(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23514,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB76) | (~v246(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23515,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB76) | (~v246(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23514, 23513])).
% 83.45/53.07 tff(23516,plain,
% 83.45/53.07 (~v246(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23515, 4863, 23512])).
% 83.45/53.07 tff(23517,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB76) | (~v245(constB76)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB76) | (~v245(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23518,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB76) | (~v245(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23519,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB76) | (~v245(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 83.45/53.07 tff(23520,plain,
% 83.45/53.07 (~v245(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23519, 4877, 23516])).
% 83.45/53.07 tff(23521,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB76) | v245(constB76) | (~v241(constB76)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB76) | v245(constB76) | (~v241(constB76)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23522,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB76) | v245(constB76) | (~v241(constB76)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23523,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB76) | v245(constB76) | (~v241(constB76))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23522, 23521])).
% 83.45/53.07 tff(23524,plain,
% 83.45/53.07 (v244(constB76) | (~v241(constB76))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23523, 4905, 23520])).
% 83.45/53.07 tff(23525,plain,
% 83.45/53.07 (~v241(constB76)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23524, 23504])).
% 83.45/53.07 tff(23526,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB76, constB77)) | v241(constB76) | (~v243(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB76, constB77)) | v241(constB76) | (~v243(constB77)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23527,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB76, constB77)) | v241(constB76) | (~v243(constB77)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23528,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB76, constB77)) | v241(constB76) | (~v243(constB77))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 83.45/53.07 tff(23529,plain,
% 83.45/53.07 (v241(constB76) | (~v243(constB77))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23528, 4920, 10705])).
% 83.45/53.07 tff(23530,plain,
% 83.45/53.07 (~v243(constB77)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23529, 23525])).
% 83.45/53.07 tff(23531,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB77) | (~v260(constB77)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB77) | (~v260(constB77)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23532,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB77) | (~v260(constB77)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23533,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB77) | (~v260(constB77))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 83.45/53.07 tff(23534,plain,
% 83.45/53.07 (~v260(constB77)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23533, 5136, 23530])).
% 83.45/53.07 tff(23535,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB77)) | (~v259(constB77)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB77)) | (~v259(constB77)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23536,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB77)) | (~v259(constB77)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23537,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB77)) | (~v259(constB77))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 83.45/53.07 tff(23538,plain,
% 83.45/53.07 (~v259(constB77)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23537, 5122, 23135])).
% 83.45/53.07 tff(23539,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB77) | v260(constB77) | (~v256(constB77)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB77) | v260(constB77) | (~v256(constB77)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23540,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB77) | v260(constB77) | (~v256(constB77)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23541,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB77) | v260(constB77) | (~v256(constB77))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 83.45/53.07 tff(23542,plain,
% 83.45/53.07 (v260(constB77) | (~v256(constB77))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23541, 5150, 23538])).
% 83.45/53.07 tff(23543,plain,
% 83.45/53.07 (~v256(constB77)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23542, 23534])).
% 83.45/53.07 tff(23544,plain,
% 83.45/53.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB77, constB78)) | v256(constB77) | (~v258(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB77, constB78)) | v256(constB77) | (~v258(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23545,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB77, constB78)) | v256(constB77) | (~v258(constB78)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23546,plain,
% 83.45/53.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB77, constB78)) | v256(constB77) | (~v258(constB78))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 83.45/53.07 tff(23547,plain,
% 83.45/53.07 (v256(constB77) | (~v258(constB78))),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23546, 5165, 11145])).
% 83.45/53.07 tff(23548,plain,
% 83.45/53.07 (~v258(constB78)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23547, 23543])).
% 83.45/53.07 tff(23549,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB78) | (~v259(constB78)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB78) | (~v259(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23550,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB78) | (~v259(constB78)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23551,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB78) | (~v259(constB78))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 83.45/53.07 tff(23552,plain,
% 83.45/53.07 (~v259(constB78)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23551, 5180, 23548])).
% 83.45/53.07 tff(23553,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB78) | (~v262(constB78)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB78) | (~v262(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23554,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB78) | (~v262(constB78)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23555,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB78) | (~v262(constB78))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 83.45/53.07 tff(23556,plain,
% 83.45/53.07 (~v262(constB78)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23555, 3915, 23157])).
% 83.45/53.07 tff(23557,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB78) | (~v261(constB78)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB78) | (~v261(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23558,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB78) | (~v261(constB78)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23559,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB78) | (~v261(constB78))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23558, 23557])).
% 83.45/53.07 tff(23560,plain,
% 83.45/53.07 (~v261(constB78)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23559, 3829, 23556])).
% 83.45/53.07 tff(23561,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB78) | (~v260(constB78)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB78) | (~v260(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.07 tff(23562,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB78) | (~v260(constB78)))),
% 83.45/53.07 inference(quant_inst,[status(thm)],[])).
% 83.45/53.07 tff(23563,plain,
% 83.45/53.07 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB78) | (~v260(constB78))),
% 83.45/53.07 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 83.45/53.07 tff(23564,plain,
% 83.45/53.07 (~v260(constB78)),
% 83.45/53.07 inference(unit_resolution,[status(thm)],[23563, 5194, 23560])).
% 83.45/53.07 tff(23565,plain,
% 83.45/53.07 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB78) | v260(constB78) | (~v256(constB78)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB78) | v260(constB78) | (~v256(constB78)))),
% 83.45/53.07 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23566,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB78) | v260(constB78) | (~v256(constB78)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23567,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB78) | v260(constB78) | (~v256(constB78))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 83.45/53.08 tff(23568,plain,
% 83.45/53.08 (v259(constB78) | (~v256(constB78))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23567, 5150, 23564])).
% 83.45/53.08 tff(23569,plain,
% 83.45/53.08 (~v256(constB78)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23568, 23552])).
% 83.45/53.08 tff(23570,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB78, constB79)) | v256(constB78) | (~v258(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB78, constB79)) | v256(constB78) | (~v258(constB79)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23571,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB78, constB79)) | v256(constB78) | (~v258(constB79)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23572,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB78, constB79)) | v256(constB78) | (~v258(constB79))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 83.45/53.08 tff(23573,plain,
% 83.45/53.08 (v256(constB78) | (~v258(constB79))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23572, 5165, 11211])).
% 83.45/53.08 tff(23574,plain,
% 83.45/53.08 (~v258(constB79)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23573, 23569])).
% 83.45/53.08 tff(23575,plain,
% 83.45/53.08 (^[VarCurr: state_type] : refl((v258(VarCurr) | (~v271(VarCurr))) <=> (v258(VarCurr) | (~v271(VarCurr))))),
% 83.45/53.08 inference(bind,[status(th)],[])).
% 83.45/53.08 tff(23576,plain,
% 83.45/53.08 (![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(quant_intro,[status(thm)],[23575])).
% 83.45/53.08 tff(23577,plain,
% 83.45/53.08 (![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr))) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23578,plain,
% 83.45/53.08 (^[VarCurr: state_type] : rewrite(((~v271(VarCurr)) | v258(VarCurr)) <=> (v258(VarCurr) | (~v271(VarCurr))))),
% 83.45/53.08 inference(bind,[status(th)],[])).
% 83.45/53.08 tff(23579,plain,
% 83.45/53.08 (![VarCurr: state_type] : ((~v271(VarCurr)) | v258(VarCurr)) <=> ![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(quant_intro,[status(thm)],[23578])).
% 83.45/53.08 tff(23580,axiom,(![VarCurr: state_type] : ((~v271(VarCurr)) | v258(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_76_1_1_2')).
% 83.45/53.08 tff(23581,plain,
% 83.45/53.08 (![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 83.45/53.08 tff(23582,plain,
% 83.45/53.08 (![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23581, 23577])).
% 83.45/53.08 tff(23583,plain,(
% 83.45/53.08 ![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(skolemize,[status(sab)],[23582])).
% 83.45/53.08 tff(23584,plain,
% 83.45/53.08 (![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23583, 23576])).
% 83.45/53.08 tff(23585,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB79) | (~v271(constB79)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB79) | (~v271(constB79)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23586,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB79) | (~v271(constB79)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23587,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB79) | (~v271(constB79))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 83.45/53.08 tff(23588,plain,
% 83.45/53.08 (~v271(constB79)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23587, 23584, 23574])).
% 83.45/53.08 tff(23589,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB79)) | (~v270(constB79)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB79)) | (~v270(constB79)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23590,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB79)) | (~v270(constB79)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23591,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB79)) | (~v270(constB79))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 83.45/53.08 tff(23592,plain,
% 83.45/53.08 (~v270(constB79)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23591, 3694, 22976])).
% 83.45/53.08 tff(23593,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB79) | v271(constB79) | (~v267(constB79)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB79) | v271(constB79) | (~v267(constB79)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23594,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB79) | v271(constB79) | (~v267(constB79)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23595,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB79) | v271(constB79) | (~v267(constB79))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 83.45/53.08 tff(23596,plain,
% 83.45/53.08 (v271(constB79) | (~v267(constB79))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23595, 3857, 23592])).
% 83.45/53.08 tff(23597,plain,
% 83.45/53.08 (~v267(constB79)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23596, 23588])).
% 83.45/53.08 tff(23598,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB79, constB80)) | v267(constB79) | (~v269(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB79, constB80)) | v267(constB79) | (~v269(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23599,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB79, constB80)) | v267(constB79) | (~v269(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23600,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB79, constB80)) | v267(constB79) | (~v269(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 83.45/53.08 tff(23601,plain,
% 83.45/53.08 (v267(constB79) | (~v269(constB80))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23600, 3872, 11346])).
% 83.45/53.08 tff(23602,plain,
% 83.45/53.08 (~v269(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23601, 23597])).
% 83.45/53.08 tff(23603,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB80) | (~v270(constB80)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB80) | (~v270(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23604,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB80) | (~v270(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23605,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB80) | (~v270(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23604, 23603])).
% 83.45/53.08 tff(23606,plain,
% 83.45/53.08 (~v270(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23605, 3887, 23602])).
% 83.45/53.08 tff(23607,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB80) | (~v262(constB80)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB80) | (~v262(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23608,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB80) | (~v262(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23609,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB80) | (~v262(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 83.45/53.08 tff(23610,plain,
% 83.45/53.08 (~v262(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23609, 3915, 22998])).
% 83.45/53.08 tff(23611,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB80) | (~v261(constB80)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB80) | (~v261(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23612,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB80) | (~v261(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23613,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB80) | (~v261(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 83.45/53.08 tff(23614,plain,
% 83.45/53.08 (~v261(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23613, 3829, 23610])).
% 83.45/53.08 tff(23615,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB80) | (~v271(constB80)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB80) | (~v271(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23616,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB80) | (~v271(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23617,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB80) | (~v271(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 83.45/53.08 tff(23618,plain,
% 83.45/53.08 (~v271(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23617, 3843, 23614])).
% 83.45/53.08 tff(23619,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB80) | v271(constB80) | (~v267(constB80)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB80) | v271(constB80) | (~v267(constB80)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23620,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB80) | v271(constB80) | (~v267(constB80)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23621,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB80) | v271(constB80) | (~v267(constB80))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 83.45/53.08 tff(23622,plain,
% 83.45/53.08 (v270(constB80) | (~v267(constB80))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23621, 3857, 23618])).
% 83.45/53.08 tff(23623,plain,
% 83.45/53.08 (~v267(constB80)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23622, 23606])).
% 83.45/53.08 tff(23624,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB80, constB81)) | v267(constB80) | (~v269(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB80, constB81)) | v267(constB80) | (~v269(constB81)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23625,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB80, constB81)) | v267(constB80) | (~v269(constB81)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23626,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB80, constB81)) | v267(constB80) | (~v269(constB81))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23625, 23624])).
% 83.45/53.08 tff(23627,plain,
% 83.45/53.08 (v267(constB80) | (~v269(constB81))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23626, 3872, 11408])).
% 83.45/53.08 tff(23628,plain,
% 83.45/53.08 (~v269(constB81)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23627, 23623])).
% 83.45/53.08 tff(23629,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB81) | (~v307(constB81)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB81) | (~v307(constB81)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23630,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB81) | (~v307(constB81)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23631,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB81) | (~v307(constB81))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23630, 23629])).
% 83.45/53.08 tff(23632,plain,
% 83.45/53.08 (~v307(constB81)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23631, 3947, 23628])).
% 83.45/53.08 tff(23633,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v289(constB81) | v307(constB81) | (~v290(constB81)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB81) | v307(constB81) | (~v290(constB81)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23634,plain,
% 83.45/53.08 ((v307(constB81) | v289(constB81) | (~v290(constB81))) <=> (v289(constB81) | v307(constB81) | (~v290(constB81)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23635,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB81) | v289(constB81) | (~v290(constB81)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v289(constB81) | v307(constB81) | (~v290(constB81))))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23634])).
% 83.45/53.08 tff(23636,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB81) | v289(constB81) | (~v290(constB81)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB81) | v307(constB81) | (~v290(constB81)))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23635, 23633])).
% 83.45/53.08 tff(23637,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB81) | v289(constB81) | (~v290(constB81)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23638,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB81) | v307(constB81) | (~v290(constB81))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23637, 23636])).
% 83.45/53.08 tff(23639,plain,
% 83.45/53.08 (v289(constB81) | (~v290(constB81))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23638, 5092, 23632])).
% 83.45/53.08 tff(23640,plain,
% 83.45/53.08 (v289(constB81)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23639, 23236])).
% 83.45/53.08 tff(23641,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23642,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23643,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23642, 23641])).
% 83.45/53.08 tff(23644,plain,
% 83.45/53.08 (v88(constB69, 2)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23643, 3716, 9911])).
% 83.45/53.08 tff(23645,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23646,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23647,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 83.45/53.08 tff(23648,plain,
% 83.45/53.08 (~v139(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23647, 4139, 23644])).
% 83.45/53.08 tff(23649,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23650,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23651,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23650, 23649])).
% 83.45/53.08 tff(23652,plain,
% 83.45/53.08 (~v140(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23651, 4044, 23644])).
% 83.45/53.08 tff(23653,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v168(constB69)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB69) | v140(constB69) | (~v168(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23654,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v168(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23655,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB69) | v140(constB69) | (~v168(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 83.45/53.08 tff(23656,plain,
% 83.45/53.08 (~v168(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23655, 3983, 23652, 23648])).
% 83.45/53.08 tff(23657,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23658,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23659,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 83.45/53.08 tff(23660,plain,
% 83.45/53.08 (~v88(constB69, 1)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23659, 3405, 9945])).
% 83.45/53.08 tff(23661,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23662,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23663,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 83.45/53.08 tff(23664,plain,
% 83.45/53.08 (~v88(constB69, 0)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23663, 3705, 9979])).
% 83.45/53.08 tff(23665,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23666,plain,
% 83.45/53.08 (((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69)) <=> (v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23667,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69)))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23666])).
% 83.45/53.08 tff(23668,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23667, 23665])).
% 83.45/53.08 tff(23669,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23670,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB69, 0) | v88(constB69, 1) | (~v88(constB69, 2)) | v146(constB69)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23669, 23668])).
% 83.45/53.08 tff(23671,plain,
% 83.45/53.08 (v146(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23670, 4169, 23644, 23664, 23660])).
% 83.45/53.08 tff(23672,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB69) | (~v146(constB69)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB69) | (~v146(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23673,plain,
% 83.45/53.08 (((~v146(constB69)) | v145(constB69)) <=> (v145(constB69) | (~v146(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23674,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB69) | (~v146(constB69))))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23673])).
% 83.45/53.08 tff(23675,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB69) | (~v146(constB69)))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23674, 23672])).
% 83.45/53.08 tff(23676,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23677,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB69) | (~v146(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 83.45/53.08 tff(23678,plain,
% 83.45/53.08 (v145(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23677, 4183, 23671])).
% 83.45/53.08 tff(23679,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB69) | (~v145(constB69)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB69) | (~v145(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23680,plain,
% 83.45/53.08 (((~v145(constB69)) | v226(constB69)) <=> (v226(constB69) | (~v145(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23681,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB69)) | v226(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB69) | (~v145(constB69))))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23680])).
% 83.45/53.08 tff(23682,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB69)) | v226(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB69) | (~v145(constB69)))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23681, 23679])).
% 83.45/53.08 tff(23683,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB69)) | v226(constB69))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23684,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB69) | (~v145(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23683, 23682])).
% 83.45/53.08 tff(23685,plain,
% 83.45/53.08 (v226(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23684, 4106, 23678])).
% 83.45/53.08 tff(23686,plain,
% 83.45/53.08 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB69)) | v168(constB69) | (~v226(constB69)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | v168(constB69) | (~v226(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23687,plain,
% 83.45/53.08 (((~v226(constB69)) | v168(constB69) | (~v161(constB69))) <=> ((~v161(constB69)) | v168(constB69) | (~v226(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23688,plain,
% 83.45/53.08 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB69)) | v168(constB69) | (~v161(constB69)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB69)) | v168(constB69) | (~v226(constB69))))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23687])).
% 83.45/53.08 tff(23689,plain,
% 83.45/53.08 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB69)) | v168(constB69) | (~v161(constB69)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | v168(constB69) | (~v226(constB69)))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23688, 23686])).
% 83.45/53.08 tff(23690,plain,
% 83.45/53.08 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB69)) | v168(constB69) | (~v161(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23691,plain,
% 83.45/53.08 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB69)) | v168(constB69) | (~v226(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 83.45/53.08 tff(23692,plain,
% 83.45/53.08 (~v161(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23691, 3997, 23685, 23656])).
% 83.45/53.08 tff(23693,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB69) | (~v187(constB69)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB69) | (~v187(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23694,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB69) | (~v187(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23695,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB69) | (~v187(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23694, 23693])).
% 83.45/53.08 tff(23696,plain,
% 83.45/53.08 (~v187(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23695, 4015, 23692])).
% 83.45/53.08 tff(23697,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23698,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23699,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23698, 23697])).
% 83.45/53.08 tff(23700,plain,
% 83.45/53.08 (~v185(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23699, 4029, 23696])).
% 83.45/53.08 tff(23701,assumption,(v18(constB70)), introduced(assumption)).
% 83.45/53.08 tff(23702,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB70))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23703,plain,
% 83.45/53.08 ($false),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23702, 3600, 23701])).
% 83.45/53.08 tff(23704,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.08 tff(23705,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23706,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23707,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23706, 23705])).
% 83.45/53.08 tff(23708,plain,
% 83.45/53.08 (v22(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23707, 3613, 10040])).
% 83.45/53.08 tff(23709,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23710,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23711,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23710, 23709])).
% 83.45/53.08 tff(23712,plain,
% 83.45/53.08 (v18(constB70) | (~v19(constB70))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23711, 3627, 23708])).
% 83.45/53.08 tff(23713,plain,
% 83.45/53.08 (~v19(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23712, 23704])).
% 83.45/53.08 tff(23714,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23715,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23716,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 83.45/53.08 tff(23717,plain,
% 83.45/53.08 (v13(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23716, 3639, 23713])).
% 83.45/53.08 tff(23718,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23719,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23720,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 83.45/53.08 tff(23721,plain,
% 83.45/53.08 (v9(constB69) | (~v13(constB70))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23720, 3653, 10020])).
% 83.45/53.08 tff(23722,plain,
% 83.45/53.08 (v9(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23721, 23717])).
% 83.45/53.08 tff(23723,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23724,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23725,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69)),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 83.45/53.08 tff(23726,plain,
% 83.45/53.08 ((~v9(constB69)) | v184(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23725, 3668, 9887])).
% 83.45/53.08 tff(23727,plain,
% 83.45/53.08 (v184(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23726, 23722])).
% 83.45/53.08 tff(23728,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB69) | (~v184(constB69)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23729,plain,
% 83.45/53.08 (((~v184(constB69)) | v183(constB69)) <=> (v183(constB69) | (~v184(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23730,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB69) | (~v184(constB69))))),
% 83.45/53.08 inference(monotonicity,[status(thm)],[23729])).
% 83.45/53.08 tff(23731,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69)))),
% 83.45/53.08 inference(transitivity,[status(thm)],[23730, 23728])).
% 83.45/53.08 tff(23732,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23733,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23732, 23731])).
% 83.45/53.08 tff(23734,plain,
% 83.45/53.08 (v183(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23733, 3680, 23727])).
% 83.45/53.08 tff(23735,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23736,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23737,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23736, 23735])).
% 83.45/53.08 tff(23738,plain,
% 83.45/53.08 (~v181(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23737, 4247, 23734])).
% 83.45/53.08 tff(23739,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23740,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23741,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23740, 23739])).
% 83.45/53.08 tff(23742,plain,
% 83.45/53.08 (v185(constB69) | (~v178(constB69))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23741, 4261, 23738])).
% 83.45/53.08 tff(23743,plain,
% 83.45/53.08 (~v178(constB69)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23742, 23700])).
% 83.45/53.08 tff(23744,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23745,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23746,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23745, 23744])).
% 83.45/53.08 tff(23747,plain,
% 83.45/53.08 (v178(constB69) | (~v180(constB70))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23746, 4276, 10020])).
% 83.45/53.08 tff(23748,plain,
% 83.45/53.08 (~v180(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23747, 23743])).
% 83.45/53.08 tff(23749,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23750,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23751,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 83.45/53.08 tff(23752,plain,
% 83.45/53.08 (~v181(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23751, 4291, 23748])).
% 83.45/53.08 tff(23753,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23754,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23755,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23754, 23753])).
% 83.45/53.08 tff(23756,plain,
% 83.45/53.08 (~v184(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23755, 3901, 10040])).
% 83.45/53.08 tff(23757,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23758,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23759,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23758, 23757])).
% 83.45/53.08 tff(23760,plain,
% 83.45/53.08 (~v187(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23759, 4309, 23756])).
% 83.45/53.08 tff(23761,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23762,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23763,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 83.45/53.08 tff(23764,plain,
% 83.45/53.08 (~v185(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23763, 4029, 23760])).
% 83.45/53.08 tff(23765,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23766,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23767,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 83.45/53.08 tff(23768,plain,
% 83.45/53.08 (v181(constB70) | (~v178(constB70))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23767, 4261, 23764])).
% 83.45/53.08 tff(23769,plain,
% 83.45/53.08 (~v178(constB70)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23768, 23752])).
% 83.45/53.08 tff(23770,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23771,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23772,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23771, 23770])).
% 83.45/53.08 tff(23773,plain,
% 83.45/53.08 (v178(constB70) | (~v180(constB71))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23772, 4276, 10082])).
% 83.45/53.08 tff(23774,plain,
% 83.45/53.08 (~v180(constB71)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23773, 23769])).
% 83.45/53.08 tff(23775,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB71) | (~v215(constB71)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB71) | (~v215(constB71)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23776,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB71) | (~v215(constB71)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23777,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB71) | (~v215(constB71))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 83.45/53.08 tff(23778,plain,
% 83.45/53.08 (~v215(constB71)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23777, 4427, 23774])).
% 83.45/53.08 tff(23779,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB71)) | (~v214(constB71)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB71)) | (~v214(constB71)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23780,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB71)) | (~v214(constB71)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23781,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB71)) | (~v214(constB71))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 83.45/53.08 tff(23782,plain,
% 83.45/53.08 (~v214(constB71)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23781, 4593, 23329])).
% 83.45/53.08 tff(23783,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB71) | v215(constB71) | (~v211(constB71)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB71) | v215(constB71) | (~v211(constB71)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23784,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB71) | v215(constB71) | (~v211(constB71)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23785,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB71) | v215(constB71) | (~v211(constB71))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 83.45/53.08 tff(23786,plain,
% 83.45/53.08 (v215(constB71) | (~v211(constB71))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23785, 4607, 23782])).
% 83.45/53.08 tff(23787,plain,
% 83.45/53.08 (~v211(constB71)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23786, 23778])).
% 83.45/53.08 tff(23788,plain,
% 83.45/53.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB71, constB72)) | v211(constB71) | (~v213(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB71, constB72)) | v211(constB71) | (~v213(constB72)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23789,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB71, constB72)) | v211(constB71) | (~v213(constB72)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23790,plain,
% 83.45/53.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB71, constB72)) | v211(constB71) | (~v213(constB72))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 83.45/53.08 tff(23791,plain,
% 83.45/53.08 (v211(constB71) | (~v213(constB72))),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23790, 4622, 10212])).
% 83.45/53.08 tff(23792,plain,
% 83.45/53.08 (~v213(constB72)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23791, 23787])).
% 83.45/53.08 tff(23793,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB72) | (~v214(constB72)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB72) | (~v214(constB72)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23794,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB72) | (~v214(constB72)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23795,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB72) | (~v214(constB72))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 83.45/53.08 tff(23796,plain,
% 83.45/53.08 (~v214(constB72)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23795, 4637, 23792])).
% 83.45/53.08 tff(23797,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB72) | (~v217(constB72)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB72) | (~v217(constB72)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23798,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB72) | (~v217(constB72)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23799,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB72) | (~v217(constB72))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 83.45/53.08 tff(23800,plain,
% 83.45/53.08 (~v217(constB72)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23799, 4651, 23351])).
% 83.45/53.08 tff(23801,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB72) | (~v216(constB72)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB72) | (~v216(constB72)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23802,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB72) | (~v216(constB72)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23803,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB72) | (~v216(constB72))),
% 83.45/53.08 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 83.45/53.08 tff(23804,plain,
% 83.45/53.08 (~v216(constB72)),
% 83.45/53.08 inference(unit_resolution,[status(thm)],[23803, 4565, 23800])).
% 83.45/53.08 tff(23805,plain,
% 83.45/53.08 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB72) | (~v215(constB72)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB72) | (~v215(constB72)))),
% 83.45/53.08 inference(rewrite,[status(thm)],[])).
% 83.45/53.08 tff(23806,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB72) | (~v215(constB72)))),
% 83.45/53.08 inference(quant_inst,[status(thm)],[])).
% 83.45/53.08 tff(23807,plain,
% 83.45/53.08 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB72) | (~v215(constB72))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23806, 23805])).
% 83.45/53.09 tff(23808,plain,
% 83.45/53.09 (~v215(constB72)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23807, 4579, 23804])).
% 83.45/53.09 tff(23809,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB72) | v215(constB72) | (~v211(constB72)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB72) | v215(constB72) | (~v211(constB72)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23810,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB72) | v215(constB72) | (~v211(constB72)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23811,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB72) | v215(constB72) | (~v211(constB72))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 83.45/53.09 tff(23812,plain,
% 83.45/53.09 (v214(constB72) | (~v211(constB72))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23811, 4607, 23808])).
% 83.45/53.09 tff(23813,plain,
% 83.45/53.09 (~v211(constB72)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23812, 23796])).
% 83.45/53.09 tff(23814,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB72, constB73)) | v211(constB72) | (~v213(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB72, constB73)) | v211(constB72) | (~v213(constB73)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23815,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB72, constB73)) | v211(constB72) | (~v213(constB73)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23816,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB72, constB73)) | v211(constB72) | (~v213(constB73))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23815, 23814])).
% 83.45/53.09 tff(23817,plain,
% 83.45/53.09 (v211(constB72) | (~v213(constB73))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23816, 4622, 10274])).
% 83.45/53.09 tff(23818,plain,
% 83.45/53.09 (~v213(constB73)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23817, 23813])).
% 83.45/53.09 tff(23819,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB73) | (~v245(constB73)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB73) | (~v245(constB73)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23820,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB73) | (~v245(constB73)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23821,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB73) | (~v245(constB73))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23820, 23819])).
% 83.45/53.09 tff(23822,plain,
% 83.45/53.09 (~v245(constB73)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23821, 4796, 23818])).
% 83.45/53.09 tff(23823,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB73)) | (~v244(constB73)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB73)) | (~v244(constB73)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23824,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB73)) | (~v244(constB73)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23825,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB73)) | (~v244(constB73))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 83.45/53.09 tff(23826,plain,
% 83.45/53.09 (~v244(constB73)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23825, 4891, 23404])).
% 83.45/53.09 tff(23827,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB73) | v245(constB73) | (~v241(constB73)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB73) | v245(constB73) | (~v241(constB73)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23828,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB73) | v245(constB73) | (~v241(constB73)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23829,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB73) | v245(constB73) | (~v241(constB73))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 83.45/53.09 tff(23830,plain,
% 83.45/53.09 (v245(constB73) | (~v241(constB73))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23829, 4905, 23826])).
% 83.45/53.09 tff(23831,plain,
% 83.45/53.09 (~v241(constB73)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23830, 23822])).
% 83.45/53.09 tff(23832,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB73, constB74)) | v241(constB73) | (~v243(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB73, constB74)) | v241(constB73) | (~v243(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23833,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB73, constB74)) | v241(constB73) | (~v243(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23834,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB73, constB74)) | v241(constB73) | (~v243(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 83.45/53.09 tff(23835,plain,
% 83.45/53.09 (v241(constB73) | (~v243(constB74))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23834, 4920, 10369])).
% 83.45/53.09 tff(23836,plain,
% 83.45/53.09 (~v243(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23835, 23831])).
% 83.45/53.09 tff(23837,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB74) | (~v244(constB74)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB74) | (~v244(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23838,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB74) | (~v244(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23839,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB74) | (~v244(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 83.45/53.09 tff(23840,plain,
% 83.45/53.09 (~v244(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23839, 4935, 23836])).
% 83.45/53.09 tff(23841,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB74) | (~v247(constB74)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB74) | (~v247(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23842,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB74) | (~v247(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23843,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB74) | (~v247(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 83.45/53.09 tff(23844,plain,
% 83.45/53.09 (~v247(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23843, 4949, 23426])).
% 83.45/53.09 tff(23845,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB74) | (~v246(constB74)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB74) | (~v246(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23846,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB74) | (~v246(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23847,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB74) | (~v246(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 83.45/53.09 tff(23848,plain,
% 83.45/53.09 (~v246(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23847, 4863, 23844])).
% 83.45/53.09 tff(23849,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB74) | (~v245(constB74)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB74) | (~v245(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23850,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB74) | (~v245(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23851,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB74) | (~v245(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 83.45/53.09 tff(23852,plain,
% 83.45/53.09 (~v245(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23851, 4877, 23848])).
% 83.45/53.09 tff(23853,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB74) | v245(constB74) | (~v241(constB74)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB74) | v245(constB74) | (~v241(constB74)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23854,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB74) | v245(constB74) | (~v241(constB74)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23855,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB74) | v245(constB74) | (~v241(constB74))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 83.45/53.09 tff(23856,plain,
% 83.45/53.09 (v244(constB74) | (~v241(constB74))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23855, 4905, 23852])).
% 83.45/53.09 tff(23857,plain,
% 83.45/53.09 (~v241(constB74)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23856, 23840])).
% 83.45/53.09 tff(23858,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB74, constB75)) | v241(constB74) | (~v243(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB74, constB75)) | v241(constB74) | (~v243(constB75)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23859,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB74, constB75)) | v241(constB74) | (~v243(constB75)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23860,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB74, constB75)) | v241(constB74) | (~v243(constB75))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23859, 23858])).
% 83.45/53.09 tff(23861,plain,
% 83.45/53.09 (v241(constB74) | (~v243(constB75))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23860, 4920, 10483])).
% 83.45/53.09 tff(23862,plain,
% 83.45/53.09 (~v243(constB75)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23861, 23857])).
% 83.45/53.09 tff(23863,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB75) | (~v260(constB75)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB75) | (~v260(constB75)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23864,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB75) | (~v260(constB75)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23865,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB75) | (~v260(constB75))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23864, 23863])).
% 83.45/53.09 tff(23866,plain,
% 83.45/53.09 (~v260(constB75)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23865, 5136, 23862])).
% 83.45/53.09 tff(23867,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB75)) | (~v259(constB75)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB75)) | (~v259(constB75)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23868,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB75)) | (~v259(constB75)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23869,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB75)) | (~v259(constB75))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 83.45/53.09 tff(23870,plain,
% 83.45/53.09 (~v259(constB75)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23869, 5122, 23486])).
% 83.45/53.09 tff(23871,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB75) | v260(constB75) | (~v256(constB75)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB75) | v260(constB75) | (~v256(constB75)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23872,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB75) | v260(constB75) | (~v256(constB75)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23873,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB75) | v260(constB75) | (~v256(constB75))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 83.45/53.09 tff(23874,plain,
% 83.45/53.09 (v260(constB75) | (~v256(constB75))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23873, 5150, 23870])).
% 83.45/53.09 tff(23875,plain,
% 83.45/53.09 (~v256(constB75)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23874, 23866])).
% 83.45/53.09 tff(23876,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB75, constB76)) | v256(constB75) | (~v258(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB75, constB76)) | v256(constB75) | (~v258(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23877,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB75, constB76)) | v256(constB75) | (~v258(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23878,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB75, constB76)) | v256(constB75) | (~v258(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23877, 23876])).
% 83.45/53.09 tff(23879,plain,
% 83.45/53.09 (v256(constB75) | (~v258(constB76))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23878, 5165, 10641])).
% 83.45/53.09 tff(23880,plain,
% 83.45/53.09 (~v258(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23879, 23875])).
% 83.45/53.09 tff(23881,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB76) | (~v259(constB76)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB76) | (~v259(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23882,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB76) | (~v259(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23883,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB76) | (~v259(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23882, 23881])).
% 83.45/53.09 tff(23884,plain,
% 83.45/53.09 (~v259(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23883, 5180, 23880])).
% 83.45/53.09 tff(23885,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB76) | (~v262(constB76)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB76) | (~v262(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23886,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB76) | (~v262(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23887,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB76) | (~v262(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 83.45/53.09 tff(23888,plain,
% 83.45/53.09 (~v262(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23887, 3915, 23508])).
% 83.45/53.09 tff(23889,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB76) | (~v261(constB76)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB76) | (~v261(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23890,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB76) | (~v261(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23891,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB76) | (~v261(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 83.45/53.09 tff(23892,plain,
% 83.45/53.09 (~v261(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23891, 3829, 23888])).
% 83.45/53.09 tff(23893,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB76) | (~v260(constB76)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB76) | (~v260(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23894,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB76) | (~v260(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23895,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB76) | (~v260(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 83.45/53.09 tff(23896,plain,
% 83.45/53.09 (~v260(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23895, 5194, 23892])).
% 83.45/53.09 tff(23897,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB76) | v260(constB76) | (~v256(constB76)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB76) | v260(constB76) | (~v256(constB76)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23898,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB76) | v260(constB76) | (~v256(constB76)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23899,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB76) | v260(constB76) | (~v256(constB76))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23898, 23897])).
% 83.45/53.09 tff(23900,plain,
% 83.45/53.09 (v259(constB76) | (~v256(constB76))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23899, 5150, 23896])).
% 83.45/53.09 tff(23901,plain,
% 83.45/53.09 (~v256(constB76)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23900, 23884])).
% 83.45/53.09 tff(23902,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB76, constB77)) | v256(constB76) | (~v258(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB76, constB77)) | v256(constB76) | (~v258(constB77)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23903,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB76, constB77)) | v256(constB76) | (~v258(constB77)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23904,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB76, constB77)) | v256(constB76) | (~v258(constB77))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23903, 23902])).
% 83.45/53.09 tff(23905,plain,
% 83.45/53.09 (v256(constB76) | (~v258(constB77))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23904, 5165, 10705])).
% 83.45/53.09 tff(23906,plain,
% 83.45/53.09 (~v258(constB77)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23905, 23901])).
% 83.45/53.09 tff(23907,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB77) | (~v271(constB77)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB77) | (~v271(constB77)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23908,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB77) | (~v271(constB77)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23909,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB77) | (~v271(constB77))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23908, 23907])).
% 83.45/53.09 tff(23910,plain,
% 83.45/53.09 (~v271(constB77)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23909, 23584, 23906])).
% 83.45/53.09 tff(23911,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB77)) | (~v270(constB77)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB77)) | (~v270(constB77)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23912,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB77)) | (~v270(constB77)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23913,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB77)) | (~v270(constB77))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23912, 23911])).
% 83.45/53.09 tff(23914,plain,
% 83.45/53.09 (~v270(constB77)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23913, 3694, 23135])).
% 83.45/53.09 tff(23915,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB77) | v271(constB77) | (~v267(constB77)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB77) | v271(constB77) | (~v267(constB77)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23916,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB77) | v271(constB77) | (~v267(constB77)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23917,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB77) | v271(constB77) | (~v267(constB77))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23916, 23915])).
% 83.45/53.09 tff(23918,plain,
% 83.45/53.09 (v271(constB77) | (~v267(constB77))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23917, 3857, 23914])).
% 83.45/53.09 tff(23919,plain,
% 83.45/53.09 (~v267(constB77)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23918, 23910])).
% 83.45/53.09 tff(23920,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB77, constB78)) | v267(constB77) | (~v269(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB77, constB78)) | v267(constB77) | (~v269(constB78)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23921,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB77, constB78)) | v267(constB77) | (~v269(constB78)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23922,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB77, constB78)) | v267(constB77) | (~v269(constB78))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23921, 23920])).
% 83.45/53.09 tff(23923,plain,
% 83.45/53.09 (v267(constB77) | (~v269(constB78))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23922, 3872, 11145])).
% 83.45/53.09 tff(23924,plain,
% 83.45/53.09 (~v269(constB78)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23923, 23919])).
% 83.45/53.09 tff(23925,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB78) | (~v270(constB78)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB78) | (~v270(constB78)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23926,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB78) | (~v270(constB78)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23927,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB78) | (~v270(constB78))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23926, 23925])).
% 83.45/53.09 tff(23928,plain,
% 83.45/53.09 (~v270(constB78)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23927, 3887, 23924])).
% 83.45/53.09 tff(23929,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB78) | (~v271(constB78)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB78) | (~v271(constB78)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23930,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB78) | (~v271(constB78)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23931,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB78) | (~v271(constB78))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 83.45/53.09 tff(23932,plain,
% 83.45/53.09 (~v271(constB78)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23931, 3843, 23560])).
% 83.45/53.09 tff(23933,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB78) | v271(constB78) | (~v267(constB78)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB78) | v271(constB78) | (~v267(constB78)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23934,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB78) | v271(constB78) | (~v267(constB78)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23935,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB78) | v271(constB78) | (~v267(constB78))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 83.45/53.09 tff(23936,plain,
% 83.45/53.09 (v270(constB78) | (~v267(constB78))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23935, 3857, 23932])).
% 83.45/53.09 tff(23937,plain,
% 83.45/53.09 (~v267(constB78)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23936, 23928])).
% 83.45/53.09 tff(23938,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB78, constB79)) | v267(constB78) | (~v269(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB78, constB79)) | v267(constB78) | (~v269(constB79)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23939,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB78, constB79)) | v267(constB78) | (~v269(constB79)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23940,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB78, constB79)) | v267(constB78) | (~v269(constB79))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 83.45/53.09 tff(23941,plain,
% 83.45/53.09 (v267(constB78) | (~v269(constB79))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23940, 3872, 11211])).
% 83.45/53.09 tff(23942,plain,
% 83.45/53.09 (~v269(constB79)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23941, 23937])).
% 83.45/53.09 tff(23943,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl((v269(VarCurr) | (~v282(VarCurr))) <=> (v269(VarCurr) | (~v282(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23944,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23943])).
% 83.45/53.09 tff(23945,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23946,plain,
% 83.45/53.09 (^[VarCurr: state_type] : rewrite(((~v282(VarCurr)) | v269(VarCurr)) <=> (v269(VarCurr) | (~v282(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23947,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v282(VarCurr)) | v269(VarCurr)) <=> ![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23946])).
% 83.45/53.09 tff(23948,axiom,(![VarCurr: state_type] : ((~v282(VarCurr)) | v269(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79_1_1_2')).
% 83.45/53.09 tff(23949,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 83.45/53.09 tff(23950,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23949, 23945])).
% 83.45/53.09 tff(23951,plain,(
% 83.45/53.09 ![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[23950])).
% 83.45/53.09 tff(23952,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23951, 23944])).
% 83.45/53.09 tff(23953,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB79) | (~v282(constB79)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB79) | (~v282(constB79)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23954,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB79) | (~v282(constB79)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23955,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB79) | (~v282(constB79))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23954, 23953])).
% 83.45/53.09 tff(23956,plain,
% 83.45/53.09 (~v282(constB79)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23955, 23952, 23942])).
% 83.45/53.09 tff(23957,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl(((~v183(VarCurr)) | (~v281(VarCurr))) <=> ((~v183(VarCurr)) | (~v281(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23958,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23957])).
% 83.45/53.09 tff(23959,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23960,plain,
% 83.45/53.09 (^[VarCurr: state_type] : rewrite(((~v281(VarCurr)) | (~v183(VarCurr))) <=> ((~v183(VarCurr)) | (~v281(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23961,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v281(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23960])).
% 83.45/53.09 tff(23962,axiom,(![VarCurr: state_type] : ((~v281(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_3')).
% 83.45/53.09 tff(23963,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 83.45/53.09 tff(23964,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23963, 23959])).
% 83.45/53.09 tff(23965,plain,(
% 83.45/53.09 ![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[23964])).
% 83.45/53.09 tff(23966,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23965, 23958])).
% 83.45/53.09 tff(23967,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB79)) | (~v281(constB79)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB79)) | (~v281(constB79)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23968,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB79)) | (~v281(constB79)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23969,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB79)) | (~v281(constB79))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23968, 23967])).
% 83.45/53.09 tff(23970,plain,
% 83.45/53.09 (~v281(constB79)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23969, 23966, 22976])).
% 83.45/53.09 tff(23971,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl((v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr))) <=> (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23972,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr))) <=> ![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23971])).
% 83.45/53.09 tff(23973,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr))) <=> ![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23974,plain,
% 83.45/53.09 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v278(VarCurr)) | v281(VarCurr)) <=> (v281(VarCurr) | (~v278(VarCurr)))), ((((~v278(VarCurr)) | v281(VarCurr)) | v282(VarCurr)) <=> ((v281(VarCurr) | (~v278(VarCurr))) | v282(VarCurr)))), rewrite(((v281(VarCurr) | (~v278(VarCurr))) | v282(VarCurr)) <=> (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))), ((((~v278(VarCurr)) | v281(VarCurr)) | v282(VarCurr)) <=> (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23975,plain,
% 83.45/53.09 (![VarCurr: state_type] : (((~v278(VarCurr)) | v281(VarCurr)) | v282(VarCurr)) <=> ![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23974])).
% 83.45/53.09 tff(23976,axiom,(![VarCurr: state_type] : (((~v278(VarCurr)) | v281(VarCurr)) | v282(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_3')).
% 83.45/53.09 tff(23977,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23976, 23975])).
% 83.45/53.09 tff(23978,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23977, 23973])).
% 83.45/53.09 tff(23979,plain,(
% 83.45/53.09 ![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[23978])).
% 83.45/53.09 tff(23980,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23979, 23972])).
% 83.45/53.09 tff(23981,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB79) | v282(constB79) | (~v278(constB79)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB79) | v282(constB79) | (~v278(constB79)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23982,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB79) | v282(constB79) | (~v278(constB79)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23983,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB79) | v282(constB79) | (~v278(constB79))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23982, 23981])).
% 83.45/53.09 tff(23984,plain,
% 83.45/53.09 (v282(constB79) | (~v278(constB79))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23983, 23980, 23970])).
% 83.45/53.09 tff(23985,plain,
% 83.45/53.09 (~v278(constB79)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23984, 23956])).
% 83.45/53.09 tff(23986,plain,
% 83.45/53.09 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23987,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23986])).
% 83.45/53.09 tff(23988,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23989,plain,
% 83.45/53.09 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v280(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(23990,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[23989])).
% 83.45/53.09 tff(23991,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v280(VarNext))) | v278(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_18_1_2')).
% 83.45/53.09 tff(23992,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 83.45/53.09 tff(23993,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23992, 23988])).
% 83.45/53.09 tff(23994,plain,(
% 83.45/53.09 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[23993])).
% 83.45/53.09 tff(23995,plain,
% 83.45/53.09 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23994, 23987])).
% 83.45/53.09 tff(23996,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB79, constB80)) | v278(constB79) | (~v280(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB79, constB80)) | v278(constB79) | (~v280(constB80)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(23997,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB79, constB80)) | v278(constB79) | (~v280(constB80)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(23998,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB79, constB80)) | v278(constB79) | (~v280(constB80))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 83.45/53.09 tff(23999,plain,
% 83.45/53.09 (v278(constB79) | (~v280(constB80))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23998, 23995, 11346])).
% 83.45/53.09 tff(24000,plain,
% 83.45/53.09 (~v280(constB80)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[23999, 23985])).
% 83.45/53.09 tff(24001,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl((v280(VarCurr) | (~v281(VarCurr))) <=> (v280(VarCurr) | (~v281(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24002,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr))) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24001])).
% 83.45/53.09 tff(24003,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr))) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24004,plain,
% 83.45/53.09 (^[VarCurr: state_type] : rewrite(((~v281(VarCurr)) | v280(VarCurr)) <=> (v280(VarCurr) | (~v281(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24005,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v281(VarCurr)) | v280(VarCurr)) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24004])).
% 83.45/53.09 tff(24006,axiom,(![VarCurr: state_type] : ((~v281(VarCurr)) | v280(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_2')).
% 83.45/53.09 tff(24007,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 83.45/53.09 tff(24008,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24007, 24003])).
% 83.45/53.09 tff(24009,plain,(
% 83.45/53.09 ![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[24008])).
% 83.45/53.09 tff(24010,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24009, 24002])).
% 83.45/53.09 tff(24011,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB80) | (~v281(constB80)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB80) | (~v281(constB80)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24012,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB80) | (~v281(constB80)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24013,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB80) | (~v281(constB80))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 83.45/53.09 tff(24014,plain,
% 83.45/53.09 (~v281(constB80)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24013, 24010, 24000])).
% 83.45/53.09 tff(24015,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl((v216(VarCurr) | (~v282(VarCurr))) <=> (v216(VarCurr) | (~v282(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24016,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24015])).
% 83.45/53.09 tff(24017,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr))) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24018,plain,
% 83.45/53.09 (^[VarCurr: state_type] : rewrite(((~v282(VarCurr)) | v216(VarCurr)) <=> (v216(VarCurr) | (~v282(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24019,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v282(VarCurr)) | v216(VarCurr)) <=> ![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24018])).
% 83.45/53.09 tff(24020,axiom,(![VarCurr: state_type] : ((~v282(VarCurr)) | v216(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79_1_1_3')).
% 83.45/53.09 tff(24021,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 83.45/53.09 tff(24022,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24021, 24017])).
% 83.45/53.09 tff(24023,plain,(
% 83.45/53.09 ![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[24022])).
% 83.45/53.09 tff(24024,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24023, 24016])).
% 83.45/53.09 tff(24025,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB80) | (~v282(constB80)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB80) | (~v282(constB80)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24026,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB80) | (~v282(constB80)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24027,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB80) | (~v282(constB80))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 83.45/53.09 tff(24028,plain,
% 83.45/53.09 (~v282(constB80)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24027, 24024, 23205])).
% 83.45/53.09 tff(24029,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB80) | v282(constB80) | (~v278(constB80)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB80) | v282(constB80) | (~v278(constB80)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24030,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB80) | v282(constB80) | (~v278(constB80)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24031,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB80) | v282(constB80) | (~v278(constB80))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 83.45/53.09 tff(24032,plain,
% 83.45/53.09 (v281(constB80) | (~v278(constB80))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24031, 23980, 24028])).
% 83.45/53.09 tff(24033,plain,
% 83.45/53.09 (~v278(constB80)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24032, 24014])).
% 83.45/53.09 tff(24034,plain,
% 83.45/53.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB80, constB81)) | v278(constB80) | (~v280(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB80, constB81)) | v278(constB80) | (~v280(constB81)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24035,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB80, constB81)) | v278(constB80) | (~v280(constB81)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24036,plain,
% 83.45/53.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB80, constB81)) | v278(constB80) | (~v280(constB81))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24035, 24034])).
% 83.45/53.09 tff(24037,plain,
% 83.45/53.09 (v278(constB80) | (~v280(constB81))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24036, 23995, 11408])).
% 83.45/53.09 tff(24038,plain,
% 83.45/53.09 (~v280(constB81)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24037, 24033])).
% 83.45/53.09 tff(24039,plain,
% 83.45/53.09 (^[VarCurr: state_type] : refl((v280(VarCurr) | (~v309(VarCurr))) <=> (v280(VarCurr) | (~v309(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24040,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24039])).
% 83.45/53.09 tff(24041,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr))) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24042,plain,
% 83.45/53.09 (^[VarCurr: state_type] : rewrite(((~v309(VarCurr)) | v280(VarCurr)) <=> (v280(VarCurr) | (~v309(VarCurr))))),
% 83.45/53.09 inference(bind,[status(th)],[])).
% 83.45/53.09 tff(24043,plain,
% 83.45/53.09 (![VarCurr: state_type] : ((~v309(VarCurr)) | v280(VarCurr)) <=> ![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(quant_intro,[status(thm)],[24042])).
% 83.45/53.09 tff(24044,axiom,(![VarCurr: state_type] : ((~v309(VarCurr)) | v280(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_96_1_1_1_2')).
% 83.45/53.09 tff(24045,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 83.45/53.09 tff(24046,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24045, 24041])).
% 83.45/53.09 tff(24047,plain,(
% 83.45/53.09 ![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(skolemize,[status(sab)],[24046])).
% 83.45/53.09 tff(24048,plain,
% 83.45/53.09 (![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24047, 24040])).
% 83.45/53.09 tff(24049,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB81) | (~v309(constB81)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB81) | (~v309(constB81)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24050,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB81) | (~v309(constB81)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24051,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB81) | (~v309(constB81))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 83.45/53.09 tff(24052,plain,
% 83.45/53.09 (~v309(constB81)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24051, 24048, 24038])).
% 83.45/53.09 tff(24053,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB81) | v288(constB81) | (~v289(constB81)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB81) | v288(constB81) | (~v289(constB81)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24054,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB81) | v288(constB81) | (~v289(constB81)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24055,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB81) | v288(constB81) | (~v289(constB81))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 83.45/53.09 tff(24056,plain,
% 83.45/53.09 (v288(constB81) | (~v289(constB81))),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24055, 5107, 24052])).
% 83.45/53.09 tff(24057,plain,
% 83.45/53.09 (v288(constB81)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24056, 23640])).
% 83.45/53.09 tff(24058,plain,
% 83.45/53.09 ($false),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24057, 22766])).
% 83.45/53.09 tff(24059,plain,((~(constB81 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.09 tff(24060,plain,
% 83.45/53.09 (~(constB81 = sK_VarCurr)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24059, 5240])).
% 83.45/53.09 tff(24061,assumption,(constB158 = sK_VarCurr), introduced(assumption)).
% 83.45/53.09 tff(24062,plain,
% 83.45/53.09 (v288(constB158) <=> v288(sK_VarCurr)),
% 83.45/53.09 inference(monotonicity,[status(thm)],[24061])).
% 83.45/53.09 tff(24063,plain,
% 83.45/53.09 (v288(sK_VarCurr) <=> v288(constB158)),
% 83.45/53.09 inference(symmetry,[status(thm)],[24062])).
% 83.45/53.09 tff(24064,plain,
% 83.45/53.09 ((~v288(sK_VarCurr)) <=> (~v288(constB158))),
% 83.45/53.09 inference(monotonicity,[status(thm)],[24063])).
% 83.45/53.09 tff(24065,plain,
% 83.45/53.09 (~v288(constB158)),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[5240, 24064])).
% 83.45/53.09 tff(24066,plain,
% 83.45/53.09 (v1(constB158) <=> v1(constB158)),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24067,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 83.45/53.09 tff(24068,plain,
% 83.45/53.09 (v1(constB158)),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 83.45/53.09 tff(24069,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24070,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24071,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24070, 24069])).
% 83.45/53.09 tff(24072,plain,
% 83.45/53.09 (~v184(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24071, 3901, 24068])).
% 83.45/53.09 tff(24073,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB158) | (~v295(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB158) | (~v295(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24074,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB158) | (~v295(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24075,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB158) | (~v295(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24074, 24073])).
% 83.45/53.09 tff(24076,plain,
% 83.45/53.09 (~v295(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24075, 22562, 24072])).
% 83.45/53.09 tff(24077,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB158) | (~v294(constB158)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB158) | (~v294(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24078,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB158) | (~v294(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24079,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB158) | (~v294(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24078, 24077])).
% 83.45/53.09 tff(24080,plain,
% 83.45/53.09 (~v294(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24079, 15964, 24076])).
% 83.45/53.09 tff(24081,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB158) | (~v293(constB158)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB158) | (~v293(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24082,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB158) | (~v293(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24083,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB158) | (~v293(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24082, 24081])).
% 83.45/53.09 tff(24084,plain,
% 83.45/53.09 (~v293(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24083, 15978, 24080])).
% 83.45/53.09 tff(24085,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB158) | (~v299(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB158) | (~v299(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24086,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB158) | (~v299(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24087,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB158) | (~v299(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 83.45/53.09 tff(24088,plain,
% 83.45/53.09 (~v299(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24087, 22584, 24072])).
% 83.45/53.09 tff(24089,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB158) | (~v298(constB158)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB158) | (~v298(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24090,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB158) | (~v298(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24091,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB158) | (~v298(constB158))),
% 83.45/53.09 inference(modus_ponens,[status(thm)],[24090, 24089])).
% 83.45/53.09 tff(24092,plain,
% 83.45/53.09 (~v298(constB158)),
% 83.45/53.09 inference(unit_resolution,[status(thm)],[24091, 19336, 24088])).
% 83.45/53.09 tff(24093,plain,
% 83.45/53.09 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB158) | (~v297(constB158)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB158) | (~v297(constB158)))),
% 83.45/53.09 inference(rewrite,[status(thm)],[])).
% 83.45/53.09 tff(24094,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB158) | (~v297(constB158)))),
% 83.45/53.09 inference(quant_inst,[status(thm)],[])).
% 83.45/53.09 tff(24095,plain,
% 83.45/53.09 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB158) | (~v297(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24094, 24093])).
% 83.45/53.10 tff(24096,plain,
% 83.45/53.10 (~v297(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24095, 19350, 24092])).
% 83.45/53.10 tff(24097,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB158) | v297(constB158) | (~v292(constB158)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB158) | v297(constB158) | (~v292(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24098,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB158) | v297(constB158) | (~v292(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24099,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB158) | v297(constB158) | (~v292(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 83.45/53.10 tff(24100,plain,
% 83.45/53.10 (~v292(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24099, 4781, 24096, 24084])).
% 83.45/53.10 tff(24101,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB158) | (~v304(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB158) | (~v304(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24102,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB158) | (~v304(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24103,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB158) | (~v304(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24102, 24101])).
% 83.45/53.10 tff(24104,plain,
% 83.45/53.10 (~v304(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24103, 22610, 24072])).
% 83.45/53.10 tff(24105,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB158) | (~v303(constB158)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB158) | (~v303(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24106,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB158) | (~v303(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24107,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB158) | (~v303(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 83.45/53.10 tff(24108,plain,
% 83.45/53.10 (~v303(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24107, 21948, 24104])).
% 83.45/53.10 tff(24109,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB158) | (~v302(constB158)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB158) | (~v302(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24110,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB158) | (~v302(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24111,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB158) | (~v302(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24110, 24109])).
% 83.45/53.10 tff(24112,plain,
% 83.45/53.10 (~v302(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24111, 21962, 24108])).
% 83.45/53.10 tff(24113,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB158) | v292(constB158) | v290(constB158))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB158) | v292(constB158) | v290(constB158))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24114,plain,
% 83.45/53.10 ((v292(constB158) | v302(constB158) | v290(constB158)) <=> (v302(constB158) | v292(constB158) | v290(constB158))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24115,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB158) | v302(constB158) | v290(constB158))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB158) | v292(constB158) | v290(constB158)))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24114])).
% 83.45/53.10 tff(24116,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB158) | v302(constB158) | v290(constB158))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB158) | v292(constB158) | v290(constB158))),
% 83.45/53.10 inference(transitivity,[status(thm)],[24115, 24113])).
% 83.45/53.10 tff(24117,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB158) | v302(constB158) | v290(constB158))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24118,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB158) | v292(constB158) | v290(constB158)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24117, 24116])).
% 83.45/53.10 tff(24119,plain,
% 83.45/53.10 (v292(constB158) | v290(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24118, 5074, 24112])).
% 83.45/53.10 tff(24120,plain,
% 83.45/53.10 (v290(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24119, 24100])).
% 83.45/53.10 tff(24121,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB158) | (~v307(constB158)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB158) | (~v307(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24122,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB158) | (~v307(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24123,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB158) | (~v307(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 83.45/53.10 tff(24124,plain,
% 83.45/53.10 (~v307(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24123, 22640, 24080])).
% 83.45/53.10 tff(24125,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB158) | v289(constB158) | (~v290(constB158)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB158) | v289(constB158) | (~v290(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24126,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB158) | v289(constB158) | (~v290(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24127,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB158) | v289(constB158) | (~v290(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24126, 24125])).
% 83.45/53.10 tff(24128,plain,
% 83.45/53.10 (v289(constB158) | (~v290(constB158))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24127, 5092, 24124])).
% 83.45/53.10 tff(24129,plain,
% 83.45/53.10 (v289(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24128, 24120])).
% 83.45/53.10 tff(24130,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB158) | (~v311(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB158) | (~v311(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24131,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB158) | (~v311(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24132,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB158) | (~v311(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 83.45/53.10 tff(24133,plain,
% 83.45/53.10 (~v311(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24132, 22659, 24072])).
% 83.45/53.10 tff(24134,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB158) | (~v310(constB158)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB158) | (~v310(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24135,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB158) | (~v310(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24136,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB158) | (~v310(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24135, 24134])).
% 83.45/53.10 tff(24137,plain,
% 83.45/53.10 (~v310(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24136, 3574, 24133])).
% 83.45/53.10 tff(24138,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB158) | (~v309(constB158)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB158) | (~v309(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24139,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB158) | (~v309(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24140,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB158) | (~v309(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24139, 24138])).
% 83.45/53.10 tff(24141,plain,
% 83.45/53.10 (~v309(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24140, 3588, 24137])).
% 83.45/53.10 tff(24142,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB158) | v288(constB158) | (~v289(constB158)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB158) | v288(constB158) | (~v289(constB158)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24143,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB158) | v288(constB158) | (~v289(constB158)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24144,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB158) | v288(constB158) | (~v289(constB158))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24143, 24142])).
% 83.45/53.10 tff(24145,plain,
% 83.45/53.10 (v288(constB158) | (~v289(constB158))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24144, 5107, 24141])).
% 83.45/53.10 tff(24146,plain,
% 83.45/53.10 (v288(constB158)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24145, 24129])).
% 83.45/53.10 tff(24147,plain,
% 83.45/53.10 ($false),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24146, 24065])).
% 83.45/53.10 tff(24148,plain,((~(constB158 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.10 tff(24149,plain,
% 83.45/53.10 (~(constB158 = sK_VarCurr)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24148, 5240])).
% 83.45/53.10 tff(24150,assumption,(constB59 = sK_VarCurr), introduced(assumption)).
% 83.45/53.10 tff(24151,plain,
% 83.45/53.10 (v288(constB59) <=> v288(sK_VarCurr)),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24150])).
% 83.45/53.10 tff(24152,plain,
% 83.45/53.10 (v288(sK_VarCurr) <=> v288(constB59)),
% 83.45/53.10 inference(symmetry,[status(thm)],[24151])).
% 83.45/53.10 tff(24153,plain,
% 83.45/53.10 ((~v288(sK_VarCurr)) <=> (~v288(constB59))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24152])).
% 83.45/53.10 tff(24154,plain,
% 83.45/53.10 (~v288(constB59)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[5240, 24153])).
% 83.45/53.10 tff(24155,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB57, 2)) | v88(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB57, 2)) | v88(constB57, 2))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24156,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB57, 2)) | v88(constB57, 2))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24157,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB57, 2)) | v88(constB57, 2)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 83.45/53.10 tff(24158,plain,
% 83.45/53.10 (v88(constB57, 2)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24157, 3716, 8717])).
% 83.45/53.10 tff(24159,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB57)) | (~v88(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB57)) | (~v88(constB57, 2)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24160,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB57)) | (~v88(constB57, 2)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24161,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB57)) | (~v88(constB57, 2))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24160, 24159])).
% 83.45/53.10 tff(24162,plain,
% 83.45/53.10 (~v139(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24161, 4139, 24158])).
% 83.45/53.10 tff(24163,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB57)) | (~v88(constB57, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB57)) | (~v88(constB57, 2)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24164,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB57)) | (~v88(constB57, 2)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24165,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB57)) | (~v88(constB57, 2))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24164, 24163])).
% 83.45/53.10 tff(24166,plain,
% 83.45/53.10 (~v140(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24165, 4044, 24158])).
% 83.45/53.10 tff(24167,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24168,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB57) | v140(constB57) | (~v168(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24169,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB57) | v140(constB57) | (~v168(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24168, 24167])).
% 83.45/53.10 tff(24170,plain,
% 83.45/53.10 (~v168(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24169, 3983, 24166, 24162])).
% 83.45/53.10 tff(24171,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB57, 1)) | v90(constB57, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB57, 1)) | v90(constB57, 1))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24172,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB57, 1)) | v90(constB57, 1))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24173,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB57, 1)) | v90(constB57, 1)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24172, 24171])).
% 83.45/53.10 tff(24174,plain,
% 83.45/53.10 (~v88(constB57, 1)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24173, 3405, 8751])).
% 83.45/53.10 tff(24175,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB57, 0)) | v90(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB57, 0)) | v90(constB57, 0))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24176,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB57, 0)) | v90(constB57, 0))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24177,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB57, 0)) | v90(constB57, 0)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24176, 24175])).
% 83.45/53.10 tff(24178,plain,
% 83.45/53.10 (~v88(constB57, 0)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24177, 3705, 8785])).
% 83.45/53.10 tff(24179,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24180,plain,
% 83.45/53.10 (((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57)) <=> (v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24181,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57)))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24180])).
% 83.45/53.10 tff(24182,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57))),
% 83.45/53.10 inference(transitivity,[status(thm)],[24181, 24179])).
% 83.45/53.10 tff(24183,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB57, 2)) | v88(constB57, 1) | v88(constB57, 0) | v146(constB57))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24184,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB57, 1) | (~v88(constB57, 2)) | v88(constB57, 0) | v146(constB57)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 83.45/53.10 tff(24185,plain,
% 83.45/53.10 (v146(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24184, 4169, 24158, 24178, 24174])).
% 83.45/53.10 tff(24186,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB57) | (~v146(constB57)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24187,plain,
% 83.45/53.10 (((~v146(constB57)) | v145(constB57)) <=> (v145(constB57) | (~v146(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24188,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB57) | (~v146(constB57))))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24187])).
% 83.45/53.10 tff(24189,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57)))),
% 83.45/53.10 inference(transitivity,[status(thm)],[24188, 24186])).
% 83.45/53.10 tff(24190,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB57)) | v145(constB57))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24191,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB57) | (~v146(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 83.45/53.10 tff(24192,plain,
% 83.45/53.10 (v145(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24191, 4183, 24185])).
% 83.45/53.10 tff(24193,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB57) | (~v145(constB57)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB57) | (~v145(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24194,plain,
% 83.45/53.10 (((~v145(constB57)) | v226(constB57)) <=> (v226(constB57) | (~v145(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24195,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB57)) | v226(constB57))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB57) | (~v145(constB57))))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24194])).
% 83.45/53.10 tff(24196,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB57)) | v226(constB57))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB57) | (~v145(constB57)))),
% 83.45/53.10 inference(transitivity,[status(thm)],[24195, 24193])).
% 83.45/53.10 tff(24197,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB57)) | v226(constB57))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24198,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB57) | (~v145(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24197, 24196])).
% 83.45/53.10 tff(24199,plain,
% 83.45/53.10 (v226(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24198, 4106, 24192])).
% 83.45/53.10 tff(24200,plain,
% 83.45/53.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v226(constB57)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24201,plain,
% 83.45/53.10 (((~v226(constB57)) | v168(constB57) | (~v161(constB57))) <=> ((~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24202,plain,
% 83.45/53.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB57)) | v168(constB57) | (~v161(constB57)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB57)) | v168(constB57) | (~v226(constB57))))),
% 83.45/53.10 inference(monotonicity,[status(thm)],[24201])).
% 83.45/53.10 tff(24203,plain,
% 83.45/53.10 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB57)) | v168(constB57) | (~v161(constB57)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57)))),
% 83.45/53.10 inference(transitivity,[status(thm)],[24202, 24200])).
% 83.45/53.10 tff(24204,plain,
% 83.45/53.10 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB57)) | v168(constB57) | (~v161(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24205,plain,
% 83.45/53.10 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB57)) | v168(constB57) | (~v226(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24204, 24203])).
% 83.45/53.10 tff(24206,plain,
% 83.45/53.10 (~v161(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24205, 3997, 24199, 24170])).
% 83.45/53.10 tff(24207,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24208,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB57) | (~v187(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24209,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB57) | (~v187(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24208, 24207])).
% 83.45/53.10 tff(24210,plain,
% 83.45/53.10 (~v187(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24209, 4015, 24206])).
% 83.45/53.10 tff(24211,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24212,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB57) | (~v185(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24213,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB57) | (~v185(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 83.45/53.10 tff(24214,plain,
% 83.45/53.10 (~v185(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24213, 4029, 24210])).
% 83.45/53.10 tff(24215,assumption,(v18(constB58)), introduced(assumption)).
% 83.45/53.10 tff(24216,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB58))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24217,plain,
% 83.45/53.10 ($false),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24216, 3600, 24215])).
% 83.45/53.10 tff(24218,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.10 tff(24219,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24220,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24221,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24220, 24219])).
% 83.45/53.10 tff(24222,plain,
% 83.45/53.10 (v22(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24221, 3613, 8846])).
% 83.45/53.10 tff(24223,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24224,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24225,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24224, 24223])).
% 83.45/53.10 tff(24226,plain,
% 83.45/53.10 (v18(constB58) | (~v19(constB58))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24225, 3627, 24222])).
% 83.45/53.10 tff(24227,plain,
% 83.45/53.10 (~v19(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24226, 24218])).
% 83.45/53.10 tff(24228,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24229,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24230,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 83.45/53.10 tff(24231,plain,
% 83.45/53.10 (v13(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24230, 3639, 24227])).
% 83.45/53.10 tff(24232,plain,
% 83.45/53.10 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24233,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24234,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 83.45/53.10 tff(24235,plain,
% 83.45/53.10 (v9(constB57) | (~v13(constB58))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24234, 3653, 8826])).
% 83.45/53.10 tff(24236,plain,
% 83.45/53.10 (v9(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24235, 24231])).
% 83.45/53.10 tff(24237,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24238,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v184(constB57))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24239,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB57) | (~v9(constB57)) | v184(constB57)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24238, 24237])).
% 83.45/53.10 tff(24240,plain,
% 83.45/53.10 ((~v9(constB57)) | v184(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24239, 3668, 8693])).
% 83.45/53.10 tff(24241,plain,
% 83.45/53.10 (v184(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24240, 24236])).
% 83.45/53.10 tff(24242,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB57)) | v183(constB57))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB57)) | v183(constB57))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24243,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB57)) | v183(constB57))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24244,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB57)) | v183(constB57)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 83.45/53.10 tff(24245,plain,
% 83.45/53.10 (v183(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24244, 3680, 24241])).
% 83.45/53.10 tff(24246,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB57)) | (~v183(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24247,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB57)) | (~v183(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24248,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB57)) | (~v183(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24247, 24246])).
% 83.45/53.10 tff(24249,plain,
% 83.45/53.10 (~v181(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24248, 4247, 24245])).
% 83.45/53.10 tff(24250,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24251,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB57) | v185(constB57) | (~v178(constB57)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24252,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB57) | v185(constB57) | (~v178(constB57))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24251, 24250])).
% 83.45/53.10 tff(24253,plain,
% 83.45/53.10 (v185(constB57) | (~v178(constB57))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24252, 4261, 24249])).
% 83.45/53.10 tff(24254,plain,
% 83.45/53.10 (~v178(constB57)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24253, 24214])).
% 83.45/53.10 tff(24255,plain,
% 83.45/53.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24256,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24257,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB57, constB58)) | v178(constB57) | (~v180(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24256, 24255])).
% 83.45/53.10 tff(24258,plain,
% 83.45/53.10 (v178(constB57) | (~v180(constB58))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24257, 4276, 8826])).
% 83.45/53.10 tff(24259,plain,
% 83.45/53.10 (~v180(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24258, 24254])).
% 83.45/53.10 tff(24260,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24261,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB58) | (~v181(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24262,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB58) | (~v181(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 83.45/53.10 tff(24263,plain,
% 83.45/53.10 (~v181(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24262, 4291, 24259])).
% 83.45/53.10 tff(24264,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24265,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB58)) | (~v184(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24266,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB58)) | (~v184(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24265, 24264])).
% 83.45/53.10 tff(24267,plain,
% 83.45/53.10 (~v184(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24266, 3901, 8846])).
% 83.45/53.10 tff(24268,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24269,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB58) | (~v187(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24270,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB58) | (~v187(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 83.45/53.10 tff(24271,plain,
% 83.45/53.10 (~v187(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24270, 4309, 24267])).
% 83.45/53.10 tff(24272,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24273,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB58) | (~v185(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24274,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB58) | (~v185(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 83.45/53.10 tff(24275,plain,
% 83.45/53.10 (~v185(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24274, 4029, 24271])).
% 83.45/53.10 tff(24276,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24277,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB58) | v185(constB58) | (~v178(constB58)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24278,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB58) | v185(constB58) | (~v178(constB58))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 83.45/53.10 tff(24279,plain,
% 83.45/53.10 (v181(constB58) | (~v178(constB58))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24278, 4261, 24275])).
% 83.45/53.10 tff(24280,plain,
% 83.45/53.10 (~v178(constB58)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24279, 24263])).
% 83.45/53.10 tff(24281,plain,
% 83.45/53.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24282,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24283,plain,
% 83.45/53.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB58, constB59)) | v178(constB58) | (~v180(constB59))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24282, 24281])).
% 83.45/53.10 tff(24284,plain,
% 83.45/53.10 (v178(constB58) | (~v180(constB59))),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24283, 4276, 8888])).
% 83.45/53.10 tff(24285,plain,
% 83.45/53.10 (~v180(constB59)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24284, 24280])).
% 83.45/53.10 tff(24286,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB59) | (~v293(constB59)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB59) | (~v293(constB59)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24287,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB59) | (~v293(constB59)))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24288,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB59) | (~v293(constB59))),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24287, 24286])).
% 83.45/53.10 tff(24289,plain,
% 83.45/53.10 (~v293(constB59)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24288, 4413, 24285])).
% 83.45/53.10 tff(24290,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24291,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB55, 2)) | v90(constB55, 2))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24292,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB55, 2)) | v90(constB55, 2)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24291, 24290])).
% 83.45/53.10 tff(24293,plain,
% 83.45/53.10 (~v88(constB55, 2)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24292, 3360, 8521])).
% 83.45/53.10 tff(24294,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24295,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB55, 1)) | v88(constB55, 1))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24296,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB55, 1)) | v88(constB55, 1)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 83.45/53.10 tff(24297,plain,
% 83.45/53.10 (v88(constB55, 1)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24296, 3727, 8552])).
% 83.45/53.10 tff(24298,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24299,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB55, 0)) | v88(constB55, 0))),
% 83.45/53.10 inference(quant_inst,[status(thm)],[])).
% 83.45/53.10 tff(24300,plain,
% 83.45/53.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB55, 0)) | v88(constB55, 0)),
% 83.45/53.10 inference(modus_ponens,[status(thm)],[24299, 24298])).
% 83.45/53.10 tff(24301,plain,
% 83.45/53.10 (v88(constB55, 0)),
% 83.45/53.10 inference(unit_resolution,[status(thm)],[24300, 3447, 8583])).
% 83.45/53.10 tff(24302,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24303,plain,
% 83.45/53.10 ((v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55)) <=> (v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1)))),
% 83.45/53.10 inference(rewrite,[status(thm)],[])).
% 83.45/53.10 tff(24304,plain,
% 83.45/53.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24303])).
% 83.45/53.11 tff(24305,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24304, 24302])).
% 83.45/53.11 tff(24306,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB55, 2) | (~v88(constB55, 1)) | (~v88(constB55, 0)) | v141(constB55))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24307,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | v88(constB55, 2) | v141(constB55) | (~v88(constB55, 0)) | (~v88(constB55, 1))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24306, 24305])).
% 83.45/53.11 tff(24308,plain,
% 83.45/53.11 (v141(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24307, 19257, 24301, 24297, 24293])).
% 83.45/53.11 tff(24309,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (v228(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | v228(constB55) | (~v141(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24310,plain,
% 83.45/53.11 (((~v141(constB55)) | v228(constB55)) <=> (v228(constB55) | (~v141(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24311,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB55)) | v228(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (v228(constB55) | (~v141(constB55))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24310])).
% 83.45/53.11 tff(24312,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB55)) | v228(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | v228(constB55) | (~v141(constB55)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24311, 24309])).
% 83.45/53.11 tff(24313,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB55)) | v228(constB55))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24314,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | v228(constB55) | (~v141(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24313, 24312])).
% 83.45/53.11 tff(24315,plain,
% 83.45/53.11 (v228(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24314, 19268, 24308])).
% 83.45/53.11 tff(24316,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (v227(constB55) | (~v228(constB55)))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB55) | (~v228(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24317,plain,
% 83.45/53.11 (((~v228(constB55)) | v227(constB55)) <=> (v227(constB55) | (~v228(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24318,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB55)) | v227(constB55))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (v227(constB55) | (~v228(constB55))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24317])).
% 83.45/53.11 tff(24319,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB55)) | v227(constB55))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB55) | (~v228(constB55)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24318, 24316])).
% 83.45/53.11 tff(24320,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB55)) | v227(constB55))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24321,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | v227(constB55) | (~v228(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 83.45/53.11 tff(24322,plain,
% 83.45/53.11 (v227(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24321, 3503, 24315])).
% 83.45/53.11 tff(24323,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB55) | (~v227(constB55)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB55) | (~v227(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24324,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB55) | (~v227(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24325,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB55) | (~v227(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24324, 24323])).
% 83.45/53.11 tff(24326,plain,
% 83.45/53.11 (v226(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24325, 3517, 24322])).
% 83.45/53.11 tff(24327,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24328,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB55)) | (~v88(constB55, 1)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24329,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB55)) | (~v88(constB55, 1))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24328, 24327])).
% 83.45/53.11 tff(24330,plain,
% 83.45/53.11 (~v140(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24329, 3969, 24297])).
% 83.45/53.11 tff(24331,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24332,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB55)) | (~v88(constB55, 0)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24333,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB55)) | (~v88(constB55, 0))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24332, 24331])).
% 83.45/53.11 tff(24334,plain,
% 83.45/53.11 (~v139(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24333, 4059, 24301])).
% 83.45/53.11 tff(24335,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24336,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB55) | v140(constB55) | (~v168(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24337,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB55) | v140(constB55) | (~v168(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24336, 24335])).
% 83.45/53.11 tff(24338,plain,
% 83.45/53.11 (~v168(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24337, 3983, 24334, 24330])).
% 83.45/53.11 tff(24339,plain,
% 83.45/53.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v226(constB55)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24340,plain,
% 83.45/53.11 (((~v226(constB55)) | v168(constB55) | (~v161(constB55))) <=> ((~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24341,plain,
% 83.45/53.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB55)) | v168(constB55) | (~v161(constB55)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB55)) | v168(constB55) | (~v226(constB55))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24340])).
% 83.45/53.11 tff(24342,plain,
% 83.45/53.11 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB55)) | v168(constB55) | (~v161(constB55)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24341, 24339])).
% 83.45/53.11 tff(24343,plain,
% 83.45/53.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB55)) | v168(constB55) | (~v161(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24344,plain,
% 83.45/53.11 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB55)) | v168(constB55) | (~v226(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24343, 24342])).
% 83.45/53.11 tff(24345,plain,
% 83.45/53.11 ((~v161(constB55)) | (~v226(constB55))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24344, 3997, 24338])).
% 83.45/53.11 tff(24346,plain,
% 83.45/53.11 (~v161(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24345, 24326])).
% 83.45/53.11 tff(24347,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24348,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB55) | (~v187(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24349,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB55) | (~v187(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 83.45/53.11 tff(24350,plain,
% 83.45/53.11 (~v187(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24349, 4015, 24346])).
% 83.45/53.11 tff(24351,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24352,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB55) | (~v185(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24353,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB55) | (~v185(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 83.45/53.11 tff(24354,plain,
% 83.45/53.11 (~v185(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24353, 4029, 24350])).
% 83.45/53.11 tff(24355,assumption,(v18(constB56)), introduced(assumption)).
% 83.45/53.11 tff(24356,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB56))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24357,plain,
% 83.45/53.11 ($false),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24356, 3600, 24355])).
% 83.45/53.11 tff(24358,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.11 tff(24359,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24360,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24361,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24360, 24359])).
% 83.45/53.11 tff(24362,plain,
% 83.45/53.11 (v22(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24361, 3613, 8654])).
% 83.45/53.11 tff(24363,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24364,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24365,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24364, 24363])).
% 83.45/53.11 tff(24366,plain,
% 83.45/53.11 (v18(constB56) | (~v19(constB56))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24365, 3627, 24362])).
% 83.45/53.11 tff(24367,plain,
% 83.45/53.11 (~v19(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24366, 24358])).
% 83.45/53.11 tff(24368,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24369,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24370,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24369, 24368])).
% 83.45/53.11 tff(24371,plain,
% 83.45/53.11 (v13(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24370, 3639, 24367])).
% 83.45/53.11 tff(24372,plain,
% 83.45/53.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24373,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24374,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24373, 24372])).
% 83.45/53.11 tff(24375,plain,
% 83.45/53.11 (v9(constB55) | (~v13(constB56))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24374, 3653, 8634])).
% 83.45/53.11 tff(24376,plain,
% 83.45/53.11 (v9(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24375, 24371])).
% 83.45/53.11 tff(24377,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v184(constB55))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB55) | (~v9(constB55)) | v184(constB55))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24378,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v184(constB55))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24379,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB55) | (~v9(constB55)) | v184(constB55)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24378, 24377])).
% 83.45/53.11 tff(24380,plain,
% 83.45/53.11 ((~v9(constB55)) | v184(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24379, 3668, 8497])).
% 83.45/53.11 tff(24381,plain,
% 83.45/53.11 (v184(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24380, 24376])).
% 83.45/53.11 tff(24382,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB55) | (~v184(constB55)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB55) | (~v184(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24383,plain,
% 83.45/53.11 (((~v184(constB55)) | v183(constB55)) <=> (v183(constB55) | (~v184(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24384,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB55)) | v183(constB55))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB55) | (~v184(constB55))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24383])).
% 83.45/53.11 tff(24385,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB55)) | v183(constB55))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB55) | (~v184(constB55)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24384, 24382])).
% 83.45/53.11 tff(24386,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB55)) | v183(constB55))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24387,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB55) | (~v184(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24386, 24385])).
% 83.45/53.11 tff(24388,plain,
% 83.45/53.11 (v183(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24387, 3680, 24381])).
% 83.45/53.11 tff(24389,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB55)) | (~v183(constB55)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB55)) | (~v183(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24390,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB55)) | (~v183(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24391,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB55)) | (~v183(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 83.45/53.11 tff(24392,plain,
% 83.45/53.11 (~v181(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24391, 4247, 24388])).
% 83.45/53.11 tff(24393,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24394,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB55) | v185(constB55) | (~v178(constB55)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24395,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB55) | v185(constB55) | (~v178(constB55))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24394, 24393])).
% 83.45/53.11 tff(24396,plain,
% 83.45/53.11 (v185(constB55) | (~v178(constB55))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24395, 4261, 24392])).
% 83.45/53.11 tff(24397,plain,
% 83.45/53.11 (~v178(constB55)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24396, 24354])).
% 83.45/53.11 tff(24398,plain,
% 83.45/53.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24399,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24400,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB55, constB56)) | v178(constB55) | (~v180(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24399, 24398])).
% 83.45/53.11 tff(24401,plain,
% 83.45/53.11 (v178(constB55) | (~v180(constB56))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24400, 4276, 8634])).
% 83.45/53.11 tff(24402,plain,
% 83.45/53.11 (~v180(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24401, 24397])).
% 83.45/53.11 tff(24403,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24404,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB56) | (~v181(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24405,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB56) | (~v181(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 83.45/53.11 tff(24406,plain,
% 83.45/53.11 (~v181(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24405, 4291, 24402])).
% 83.45/53.11 tff(24407,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24408,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB56)) | (~v184(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24409,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB56)) | (~v184(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 83.45/53.11 tff(24410,plain,
% 83.45/53.11 (~v184(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24409, 3901, 8654])).
% 83.45/53.11 tff(24411,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24412,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB56) | (~v187(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24413,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB56) | (~v187(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24412, 24411])).
% 83.45/53.11 tff(24414,plain,
% 83.45/53.11 (~v187(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24413, 4309, 24410])).
% 83.45/53.11 tff(24415,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24416,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB56) | (~v185(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24417,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB56) | (~v185(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24416, 24415])).
% 83.45/53.11 tff(24418,plain,
% 83.45/53.11 (~v185(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24417, 4029, 24414])).
% 83.45/53.11 tff(24419,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24420,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB56) | v185(constB56) | (~v178(constB56)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24421,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB56) | v185(constB56) | (~v178(constB56))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 83.45/53.11 tff(24422,plain,
% 83.45/53.11 (v181(constB56) | (~v178(constB56))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24421, 4261, 24418])).
% 83.45/53.11 tff(24423,plain,
% 83.45/53.11 (~v178(constB56)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24422, 24406])).
% 83.45/53.11 tff(24424,plain,
% 83.45/53.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24425,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24426,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB56, constB57)) | v178(constB56) | (~v180(constB57))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24425, 24424])).
% 83.45/53.11 tff(24427,plain,
% 83.45/53.11 (v178(constB56) | (~v180(constB57))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24426, 4276, 8696])).
% 83.45/53.11 tff(24428,plain,
% 83.45/53.11 (~v180(constB57)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24427, 24423])).
% 83.45/53.11 tff(24429,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB57) | (~v215(constB57)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB57) | (~v215(constB57)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24430,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB57) | (~v215(constB57)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24431,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB57) | (~v215(constB57))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 83.45/53.11 tff(24432,plain,
% 83.45/53.11 (~v215(constB57)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24431, 4427, 24428])).
% 83.45/53.11 tff(24433,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB57)) | (~v214(constB57)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB57)) | (~v214(constB57)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24434,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB57)) | (~v214(constB57)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24435,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB57)) | (~v214(constB57))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 83.45/53.11 tff(24436,plain,
% 83.45/53.11 (~v214(constB57)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24435, 4593, 24245])).
% 83.45/53.11 tff(24437,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB57) | v215(constB57) | (~v211(constB57)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB57) | v215(constB57) | (~v211(constB57)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24438,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB57) | v215(constB57) | (~v211(constB57)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24439,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB57) | v215(constB57) | (~v211(constB57))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 83.45/53.11 tff(24440,plain,
% 83.45/53.11 (v215(constB57) | (~v211(constB57))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24439, 4607, 24436])).
% 83.45/53.11 tff(24441,plain,
% 83.45/53.11 (~v211(constB57)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24440, 24432])).
% 83.45/53.11 tff(24442,plain,
% 83.45/53.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24443,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24444,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB57, constB58)) | v211(constB57) | (~v213(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24443, 24442])).
% 83.45/53.11 tff(24445,plain,
% 83.45/53.11 (v211(constB57) | (~v213(constB58))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24444, 4622, 8826])).
% 83.45/53.11 tff(24446,plain,
% 83.45/53.11 (~v213(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24445, 24441])).
% 83.45/53.11 tff(24447,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB58) | (~v214(constB58)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB58) | (~v214(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24448,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB58) | (~v214(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24449,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB58) | (~v214(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24448, 24447])).
% 83.45/53.11 tff(24450,plain,
% 83.45/53.11 (~v214(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24449, 4637, 24446])).
% 83.45/53.11 tff(24451,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB58) | (~v217(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB58) | (~v217(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24452,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB58) | (~v217(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24453,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB58) | (~v217(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24452, 24451])).
% 83.45/53.11 tff(24454,plain,
% 83.45/53.11 (~v217(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24453, 4651, 24267])).
% 83.45/53.11 tff(24455,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB58) | (~v216(constB58)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB58) | (~v216(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24456,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB58) | (~v216(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24457,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB58) | (~v216(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 83.45/53.11 tff(24458,plain,
% 83.45/53.11 (~v216(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24457, 4565, 24454])).
% 83.45/53.11 tff(24459,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB58) | (~v215(constB58)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB58) | (~v215(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24460,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB58) | (~v215(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24461,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB58) | (~v215(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 83.45/53.11 tff(24462,plain,
% 83.45/53.11 (~v215(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24461, 4579, 24458])).
% 83.45/53.11 tff(24463,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB58) | v215(constB58) | (~v211(constB58)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB58) | v215(constB58) | (~v211(constB58)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24464,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB58) | v215(constB58) | (~v211(constB58)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24465,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB58) | v215(constB58) | (~v211(constB58))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24464, 24463])).
% 83.45/53.11 tff(24466,plain,
% 83.45/53.11 (v214(constB58) | (~v211(constB58))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24465, 4607, 24462])).
% 83.45/53.11 tff(24467,plain,
% 83.45/53.11 (~v211(constB58)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24466, 24450])).
% 83.45/53.11 tff(24468,plain,
% 83.45/53.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24469,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24470,plain,
% 83.45/53.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB58, constB59)) | v211(constB58) | (~v213(constB59))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24469, 24468])).
% 83.45/53.11 tff(24471,plain,
% 83.45/53.11 (v211(constB58) | (~v213(constB59))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24470, 4622, 8888])).
% 83.45/53.11 tff(24472,plain,
% 83.45/53.11 (~v213(constB59)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24471, 24467])).
% 83.45/53.11 tff(24473,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB59) | (~v297(constB59)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB59) | (~v297(constB59)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24474,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB59) | (~v297(constB59)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24475,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB59) | (~v297(constB59))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 83.45/53.11 tff(24476,plain,
% 83.45/53.11 (~v297(constB59)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24475, 4767, 24472])).
% 83.45/53.11 tff(24477,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB59) | v297(constB59) | (~v292(constB59)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB59) | v297(constB59) | (~v292(constB59)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24478,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB59) | v297(constB59) | (~v292(constB59)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24479,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB59) | v297(constB59) | (~v292(constB59))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 83.45/53.11 tff(24480,plain,
% 83.45/53.11 (v293(constB59) | (~v292(constB59))),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24479, 4781, 24476])).
% 83.45/53.11 tff(24481,plain,
% 83.45/53.11 (~v292(constB59)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24480, 24289])).
% 83.45/53.11 tff(24482,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24483,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB53, 2)) | v90(constB53, 2))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24484,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB53, 2)) | v90(constB53, 2)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24483, 24482])).
% 83.45/53.11 tff(24485,plain,
% 83.45/53.11 (~v88(constB53, 2)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24484, 3360, 8318])).
% 83.45/53.11 tff(24486,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24487,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB53, 0)) | v90(constB53, 0))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24488,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB53, 0)) | v90(constB53, 0)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 83.45/53.11 tff(24489,plain,
% 83.45/53.11 (~v88(constB53, 0)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24488, 3705, 8383])).
% 83.45/53.11 tff(24490,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24491,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB53, 1)) | v88(constB53, 1))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24492,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB53, 1)) | v88(constB53, 1)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24491, 24490])).
% 83.45/53.11 tff(24493,plain,
% 83.45/53.11 (v88(constB53, 1)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24492, 3727, 8349])).
% 83.45/53.11 tff(24494,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24495,plain,
% 83.45/53.11 ((v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53)) <=> (v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24496,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53)))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24495])).
% 83.45/53.11 tff(24497,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24496, 24494])).
% 83.45/53.11 tff(24498,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB53, 2) | (~v88(constB53, 1)) | v88(constB53, 0) | v143(constB53))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24499,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB53, 2) | v88(constB53, 0) | (~v88(constB53, 1)) | v143(constB53)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 83.45/53.11 tff(24500,plain,
% 83.45/53.11 (v143(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24499, 15886, 24493, 24489, 24485])).
% 83.45/53.11 tff(24501,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24502,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB53)) | v142(constB53))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24503,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB53)) | v142(constB53)),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 83.45/53.11 tff(24504,plain,
% 83.45/53.11 (v142(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24503, 15900, 24500])).
% 83.45/53.11 tff(24505,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB53) | (~v142(constB53)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24506,plain,
% 83.45/53.11 (((~v142(constB53)) | v227(constB53)) <=> (v227(constB53) | (~v142(constB53)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24507,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB53)) | v227(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB53) | (~v142(constB53))))),
% 83.45/53.11 inference(monotonicity,[status(thm)],[24506])).
% 83.45/53.11 tff(24508,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB53)) | v227(constB53))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB53) | (~v142(constB53)))),
% 83.45/53.11 inference(transitivity,[status(thm)],[24507, 24505])).
% 83.45/53.11 tff(24509,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB53)) | v227(constB53))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24510,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB53) | (~v142(constB53))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24509, 24508])).
% 83.45/53.11 tff(24511,plain,
% 83.45/53.11 (v227(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24510, 3766, 24504])).
% 83.45/53.11 tff(24512,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB53) | (~v227(constB53)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB53) | (~v227(constB53)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24513,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB53) | (~v227(constB53)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24514,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB53) | (~v227(constB53))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 83.45/53.11 tff(24515,plain,
% 83.45/53.11 (v226(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24514, 3517, 24511])).
% 83.45/53.11 tff(24516,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24517,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB53)) | (~v88(constB53, 1)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24518,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB53)) | (~v88(constB53, 1))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24517, 24516])).
% 83.45/53.11 tff(24519,plain,
% 83.45/53.11 (~v139(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24518, 3958, 24493])).
% 83.45/53.11 tff(24520,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1)))),
% 83.45/53.11 inference(rewrite,[status(thm)],[])).
% 83.45/53.11 tff(24521,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB53)) | (~v88(constB53, 1)))),
% 83.45/53.11 inference(quant_inst,[status(thm)],[])).
% 83.45/53.11 tff(24522,plain,
% 83.45/53.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB53)) | (~v88(constB53, 1))),
% 83.45/53.11 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 83.45/53.11 tff(24523,plain,
% 83.45/53.11 (~v140(constB53)),
% 83.45/53.11 inference(unit_resolution,[status(thm)],[24522, 3969, 24493])).
% 83.45/53.11 tff(24524,plain,
% 83.45/53.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24525,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB53) | v140(constB53) | (~v168(constB53)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24526,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB53) | v140(constB53) | (~v168(constB53))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 83.45/53.12 tff(24527,plain,
% 83.45/53.12 (~v168(constB53)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24526, 3983, 24523, 24519])).
% 83.45/53.12 tff(24528,plain,
% 83.45/53.12 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB53)) | (~v226(constB53)) | v168(constB53))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v226(constB53)) | v168(constB53))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24529,plain,
% 83.45/53.12 (((~v226(constB53)) | v168(constB53) | (~v161(constB53))) <=> ((~v161(constB53)) | (~v226(constB53)) | v168(constB53))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24530,plain,
% 83.45/53.12 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB53)) | v168(constB53) | (~v161(constB53)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB53)) | (~v226(constB53)) | v168(constB53)))),
% 83.45/53.12 inference(monotonicity,[status(thm)],[24529])).
% 83.45/53.12 tff(24531,plain,
% 83.45/53.12 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB53)) | v168(constB53) | (~v161(constB53)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v226(constB53)) | v168(constB53))),
% 83.45/53.12 inference(transitivity,[status(thm)],[24530, 24528])).
% 83.45/53.12 tff(24532,plain,
% 83.45/53.12 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB53)) | v168(constB53) | (~v161(constB53)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24533,plain,
% 83.45/53.12 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB53)) | (~v226(constB53)) | v168(constB53)),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 83.45/53.12 tff(24534,plain,
% 83.45/53.12 ((~v161(constB53)) | (~v226(constB53))),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24533, 3997, 24527])).
% 83.45/53.12 tff(24535,plain,
% 83.45/53.12 (~v161(constB53)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24534, 24515])).
% 83.45/53.12 tff(24536,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB53) | (~v187(constB53)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB53) | (~v187(constB53)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24537,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB53) | (~v187(constB53)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24538,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB53) | (~v187(constB53))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 83.45/53.12 tff(24539,plain,
% 83.45/53.12 (~v187(constB53)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24538, 4015, 24535])).
% 83.45/53.12 tff(24540,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24541,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB53) | (~v185(constB53)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24542,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB53) | (~v185(constB53))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24541, 24540])).
% 83.45/53.12 tff(24543,plain,
% 83.45/53.12 (~v185(constB53)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24542, 4029, 24539])).
% 83.45/53.12 tff(24544,assumption,(v18(constB54)), introduced(assumption)).
% 83.45/53.12 tff(24545,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB54))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24546,plain,
% 83.45/53.12 ($false),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24545, 3600, 24544])).
% 83.45/53.12 tff(24547,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 83.45/53.12 tff(24548,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24549,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24550,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24549, 24548])).
% 83.45/53.12 tff(24551,plain,
% 83.45/53.12 (v22(constB54)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24550, 3613, 8458])).
% 83.45/53.12 tff(24552,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24553,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24554,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24553, 24552])).
% 83.45/53.12 tff(24555,plain,
% 83.45/53.12 (v18(constB54) | (~v19(constB54))),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24554, 3627, 24551])).
% 83.45/53.12 tff(24556,plain,
% 83.45/53.12 (~v19(constB54)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24555, 24547])).
% 83.45/53.12 tff(24557,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24558,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24559,plain,
% 83.45/53.12 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24558, 24557])).
% 83.45/53.12 tff(24560,plain,
% 83.45/53.12 (v13(constB54)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24559, 3639, 24556])).
% 83.45/53.12 tff(24561,plain,
% 83.45/53.12 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 83.45/53.12 inference(rewrite,[status(thm)],[])).
% 83.45/53.12 tff(24562,plain,
% 83.45/53.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 83.45/53.12 inference(quant_inst,[status(thm)],[])).
% 83.45/53.12 tff(24563,plain,
% 83.45/53.12 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54))),
% 83.45/53.12 inference(modus_ponens,[status(thm)],[24562, 24561])).
% 83.45/53.12 tff(24564,plain,
% 83.45/53.12 (v9(constB53) | (~v13(constB54))),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24563, 3653, 8438])).
% 83.45/53.12 tff(24565,plain,
% 83.45/53.12 (v9(constB53)),
% 83.45/53.12 inference(unit_resolution,[status(thm)],[24564, 24560])).
% 83.45/53.12 tff(24566,plain,
% 83.45/53.12 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24567,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v184(constB53))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24568,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB53) | (~v9(constB53)) | v184(constB53)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24567, 24566])).
% 83.55/53.12 tff(24569,plain,
% 83.55/53.12 ((~v9(constB53)) | v184(constB53)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24568, 3668, 8294])).
% 83.55/53.12 tff(24570,plain,
% 83.55/53.12 (v184(constB53)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24569, 24565])).
% 83.55/53.12 tff(24571,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB53) | (~v184(constB53)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB53) | (~v184(constB53)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24572,plain,
% 83.55/53.12 (((~v184(constB53)) | v183(constB53)) <=> (v183(constB53) | (~v184(constB53)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24573,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB53)) | v183(constB53))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB53) | (~v184(constB53))))),
% 83.55/53.12 inference(monotonicity,[status(thm)],[24572])).
% 83.55/53.12 tff(24574,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB53)) | v183(constB53))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB53) | (~v184(constB53)))),
% 83.55/53.12 inference(transitivity,[status(thm)],[24573, 24571])).
% 83.55/53.12 tff(24575,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB53)) | v183(constB53))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24576,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB53) | (~v184(constB53))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 83.55/53.12 tff(24577,plain,
% 83.55/53.12 (v183(constB53)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24576, 3680, 24570])).
% 83.55/53.12 tff(24578,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB53)) | (~v183(constB53)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB53)) | (~v183(constB53)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24579,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB53)) | (~v183(constB53)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24580,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB53)) | (~v183(constB53))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 83.55/53.12 tff(24581,plain,
% 83.55/53.12 (~v181(constB53)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24580, 4247, 24577])).
% 83.55/53.12 tff(24582,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24583,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB53) | v185(constB53) | (~v178(constB53)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24584,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB53) | v185(constB53) | (~v178(constB53))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 83.55/53.12 tff(24585,plain,
% 83.55/53.12 (v185(constB53) | (~v178(constB53))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24584, 4261, 24581])).
% 83.55/53.12 tff(24586,plain,
% 83.55/53.12 (~v178(constB53)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24585, 24543])).
% 83.55/53.12 tff(24587,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24588,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24589,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB53, constB54)) | v178(constB53) | (~v180(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24588, 24587])).
% 83.55/53.12 tff(24590,plain,
% 83.55/53.12 (v178(constB53) | (~v180(constB54))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24589, 4276, 8438])).
% 83.55/53.12 tff(24591,plain,
% 83.55/53.12 (~v180(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24590, 24586])).
% 83.55/53.12 tff(24592,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24593,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB54) | (~v181(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24594,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB54) | (~v181(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24593, 24592])).
% 83.55/53.12 tff(24595,plain,
% 83.55/53.12 (~v181(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24594, 4291, 24591])).
% 83.55/53.12 tff(24596,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24597,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB54)) | (~v184(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24598,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB54)) | (~v184(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 83.55/53.12 tff(24599,plain,
% 83.55/53.12 (~v184(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24598, 3901, 8458])).
% 83.55/53.12 tff(24600,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24601,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB54) | (~v187(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24602,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB54) | (~v187(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24601, 24600])).
% 83.55/53.12 tff(24603,plain,
% 83.55/53.12 (~v187(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24602, 4309, 24599])).
% 83.55/53.12 tff(24604,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24605,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB54) | (~v185(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24606,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB54) | (~v185(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 83.55/53.12 tff(24607,plain,
% 83.55/53.12 (~v185(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24606, 4029, 24603])).
% 83.55/53.12 tff(24608,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24609,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB54) | v185(constB54) | (~v178(constB54)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24610,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB54) | v185(constB54) | (~v178(constB54))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 83.55/53.12 tff(24611,plain,
% 83.55/53.12 (v181(constB54) | (~v178(constB54))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24610, 4261, 24607])).
% 83.55/53.12 tff(24612,plain,
% 83.55/53.12 (~v178(constB54)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24611, 24595])).
% 83.55/53.12 tff(24613,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24614,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24615,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB54, constB55)) | v178(constB54) | (~v180(constB55))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 83.55/53.12 tff(24616,plain,
% 83.55/53.12 (v178(constB54) | (~v180(constB55))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24615, 4276, 8500])).
% 83.55/53.12 tff(24617,plain,
% 83.55/53.12 (~v180(constB55)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24616, 24612])).
% 83.55/53.12 tff(24618,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB55) | (~v215(constB55)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB55) | (~v215(constB55)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24619,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB55) | (~v215(constB55)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24620,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB55) | (~v215(constB55))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 83.55/53.12 tff(24621,plain,
% 83.55/53.12 (~v215(constB55)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24620, 4427, 24617])).
% 83.55/53.12 tff(24622,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB55)) | (~v214(constB55)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB55)) | (~v214(constB55)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24623,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB55)) | (~v214(constB55)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24624,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB55)) | (~v214(constB55))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 83.55/53.12 tff(24625,plain,
% 83.55/53.12 (~v214(constB55)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24624, 4593, 24388])).
% 83.55/53.12 tff(24626,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB55) | v215(constB55) | (~v211(constB55)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB55) | v215(constB55) | (~v211(constB55)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24627,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB55) | v215(constB55) | (~v211(constB55)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24628,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB55) | v215(constB55) | (~v211(constB55))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 83.55/53.12 tff(24629,plain,
% 83.55/53.12 (v215(constB55) | (~v211(constB55))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24628, 4607, 24625])).
% 83.55/53.12 tff(24630,plain,
% 83.55/53.12 (~v211(constB55)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24629, 24621])).
% 83.55/53.12 tff(24631,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB55, constB56)) | v211(constB55) | (~v213(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB55, constB56)) | v211(constB55) | (~v213(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24632,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB55, constB56)) | v211(constB55) | (~v213(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24633,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB55, constB56)) | v211(constB55) | (~v213(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 83.55/53.12 tff(24634,plain,
% 83.55/53.12 (v211(constB55) | (~v213(constB56))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24633, 4622, 8634])).
% 83.55/53.12 tff(24635,plain,
% 83.55/53.12 (~v213(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24634, 24630])).
% 83.55/53.12 tff(24636,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB56) | (~v214(constB56)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB56) | (~v214(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24637,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB56) | (~v214(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24638,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB56) | (~v214(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24637, 24636])).
% 83.55/53.12 tff(24639,plain,
% 83.55/53.12 (~v214(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24638, 4637, 24635])).
% 83.55/53.12 tff(24640,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB56) | (~v217(constB56)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB56) | (~v217(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24641,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB56) | (~v217(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24642,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB56) | (~v217(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24641, 24640])).
% 83.55/53.12 tff(24643,plain,
% 83.55/53.12 (~v217(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24642, 4651, 24410])).
% 83.55/53.12 tff(24644,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB56) | (~v216(constB56)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB56) | (~v216(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24645,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB56) | (~v216(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24646,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB56) | (~v216(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 83.55/53.12 tff(24647,plain,
% 83.55/53.12 (~v216(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24646, 4565, 24643])).
% 83.55/53.12 tff(24648,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB56) | (~v215(constB56)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB56) | (~v215(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24649,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB56) | (~v215(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24650,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB56) | (~v215(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24649, 24648])).
% 83.55/53.12 tff(24651,plain,
% 83.55/53.12 (~v215(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24650, 4579, 24647])).
% 83.55/53.12 tff(24652,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB56) | v215(constB56) | (~v211(constB56)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB56) | v215(constB56) | (~v211(constB56)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24653,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB56) | v215(constB56) | (~v211(constB56)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24654,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB56) | v215(constB56) | (~v211(constB56))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24653, 24652])).
% 83.55/53.12 tff(24655,plain,
% 83.55/53.12 (v214(constB56) | (~v211(constB56))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24654, 4607, 24651])).
% 83.55/53.12 tff(24656,plain,
% 83.55/53.12 (~v211(constB56)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24655, 24639])).
% 83.55/53.12 tff(24657,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB56, constB57)) | v211(constB56) | (~v213(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB56, constB57)) | v211(constB56) | (~v213(constB57)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24658,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB56, constB57)) | v211(constB56) | (~v213(constB57)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24659,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB56, constB57)) | v211(constB56) | (~v213(constB57))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 83.55/53.12 tff(24660,plain,
% 83.55/53.12 (v211(constB56) | (~v213(constB57))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24659, 4622, 8696])).
% 83.55/53.12 tff(24661,plain,
% 83.55/53.12 (~v213(constB57)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24660, 24656])).
% 83.55/53.12 tff(24662,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB57) | (~v245(constB57)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB57) | (~v245(constB57)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24663,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB57) | (~v245(constB57)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24664,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB57) | (~v245(constB57))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 83.55/53.12 tff(24665,plain,
% 83.55/53.12 (~v245(constB57)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24664, 4796, 24661])).
% 83.55/53.12 tff(24666,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB57)) | (~v244(constB57)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB57)) | (~v244(constB57)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24667,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB57)) | (~v244(constB57)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24668,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB57)) | (~v244(constB57))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 83.55/53.12 tff(24669,plain,
% 83.55/53.12 (~v244(constB57)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24668, 4891, 24245])).
% 83.55/53.12 tff(24670,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB57) | v245(constB57) | (~v241(constB57)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB57) | v245(constB57) | (~v241(constB57)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24671,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB57) | v245(constB57) | (~v241(constB57)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24672,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB57) | v245(constB57) | (~v241(constB57))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 83.55/53.12 tff(24673,plain,
% 83.55/53.12 (v245(constB57) | (~v241(constB57))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24672, 4905, 24669])).
% 83.55/53.12 tff(24674,plain,
% 83.55/53.12 (~v241(constB57)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24673, 24665])).
% 83.55/53.12 tff(24675,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB57, constB58)) | v241(constB57) | (~v243(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB57, constB58)) | v241(constB57) | (~v243(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24676,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB57, constB58)) | v241(constB57) | (~v243(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24677,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB57, constB58)) | v241(constB57) | (~v243(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24676, 24675])).
% 83.55/53.12 tff(24678,plain,
% 83.55/53.12 (v241(constB57) | (~v243(constB58))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24677, 4920, 8826])).
% 83.55/53.12 tff(24679,plain,
% 83.55/53.12 (~v243(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24678, 24674])).
% 83.55/53.12 tff(24680,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB58) | (~v244(constB58)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB58) | (~v244(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24681,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB58) | (~v244(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24682,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB58) | (~v244(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 83.55/53.12 tff(24683,plain,
% 83.55/53.12 (~v244(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24682, 4935, 24679])).
% 83.55/53.12 tff(24684,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB58) | (~v247(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB58) | (~v247(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24685,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB58) | (~v247(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24686,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB58) | (~v247(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24685, 24684])).
% 83.55/53.12 tff(24687,plain,
% 83.55/53.12 (~v247(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24686, 4949, 24267])).
% 83.55/53.12 tff(24688,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB58) | (~v246(constB58)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB58) | (~v246(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24689,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB58) | (~v246(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24690,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB58) | (~v246(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24689, 24688])).
% 83.55/53.12 tff(24691,plain,
% 83.55/53.12 (~v246(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24690, 4863, 24687])).
% 83.55/53.12 tff(24692,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB58) | (~v245(constB58)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB58) | (~v245(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24693,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB58) | (~v245(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24694,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB58) | (~v245(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24693, 24692])).
% 83.55/53.12 tff(24695,plain,
% 83.55/53.12 (~v245(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24694, 4877, 24691])).
% 83.55/53.12 tff(24696,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB58) | v245(constB58) | (~v241(constB58)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB58) | v245(constB58) | (~v241(constB58)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24697,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB58) | v245(constB58) | (~v241(constB58)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24698,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB58) | v245(constB58) | (~v241(constB58))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24697, 24696])).
% 83.55/53.12 tff(24699,plain,
% 83.55/53.12 (v244(constB58) | (~v241(constB58))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24698, 4905, 24695])).
% 83.55/53.12 tff(24700,plain,
% 83.55/53.12 (~v241(constB58)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24699, 24683])).
% 83.55/53.12 tff(24701,plain,
% 83.55/53.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB58, constB59)) | v241(constB58) | (~v243(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB58, constB59)) | v241(constB58) | (~v243(constB59)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24702,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB58, constB59)) | v241(constB58) | (~v243(constB59)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24703,plain,
% 83.55/53.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB58, constB59)) | v241(constB58) | (~v243(constB59))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24702, 24701])).
% 83.55/53.12 tff(24704,plain,
% 83.55/53.12 (v241(constB58) | (~v243(constB59))),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24703, 4920, 8888])).
% 83.55/53.12 tff(24705,plain,
% 83.55/53.12 (~v243(constB59)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24704, 24700])).
% 83.55/53.12 tff(24706,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB59) | (~v302(constB59)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB59) | (~v302(constB59)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24707,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB59) | (~v302(constB59)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24708,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB59) | (~v302(constB59))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24707, 24706])).
% 83.55/53.12 tff(24709,plain,
% 83.55/53.12 (~v302(constB59)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24708, 5060, 24705])).
% 83.55/53.12 tff(24710,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB59) | v292(constB59) | v290(constB59))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB59) | v292(constB59) | v290(constB59))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24711,plain,
% 83.55/53.12 ((v292(constB59) | v302(constB59) | v290(constB59)) <=> (v302(constB59) | v292(constB59) | v290(constB59))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24712,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB59) | v302(constB59) | v290(constB59))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB59) | v292(constB59) | v290(constB59)))),
% 83.55/53.12 inference(monotonicity,[status(thm)],[24711])).
% 83.55/53.12 tff(24713,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB59) | v302(constB59) | v290(constB59))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB59) | v292(constB59) | v290(constB59))),
% 83.55/53.12 inference(transitivity,[status(thm)],[24712, 24710])).
% 83.55/53.12 tff(24714,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB59) | v302(constB59) | v290(constB59))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24715,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB59) | v292(constB59) | v290(constB59)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24714, 24713])).
% 83.55/53.12 tff(24716,plain,
% 83.55/53.12 (v292(constB59) | v290(constB59)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24715, 5074, 24709])).
% 83.55/53.12 tff(24717,plain,
% 83.55/53.12 (v290(constB59)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24716, 24481])).
% 83.55/53.12 tff(24718,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24719,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB49, 0)) | v90(constB49, 0))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24720,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB49, 0)) | v90(constB49, 0)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24719, 24718])).
% 83.55/53.12 tff(24721,plain,
% 83.55/53.12 (~v88(constB49, 0)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24720, 3705, 7974])).
% 83.55/53.12 tff(24722,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24723,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB49, 2)) | v88(constB49, 2))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24724,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB49, 2)) | v88(constB49, 2)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24723, 24722])).
% 83.55/53.12 tff(24725,plain,
% 83.55/53.12 (v88(constB49, 2)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24724, 3716, 7909])).
% 83.55/53.12 tff(24726,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24727,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB49, 1)) | v88(constB49, 1))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24728,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB49, 1)) | v88(constB49, 1)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24727, 24726])).
% 83.55/53.12 tff(24729,plain,
% 83.55/53.12 (v88(constB49, 1)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24728, 3727, 7940])).
% 83.55/53.12 tff(24730,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24731,plain,
% 83.55/53.12 (((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49)) <=> (v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24732,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1))))),
% 83.55/53.12 inference(monotonicity,[status(thm)],[24731])).
% 83.55/53.12 tff(24733,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(transitivity,[status(thm)],[24732, 24730])).
% 83.55/53.12 tff(24734,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB49, 2)) | (~v88(constB49, 1)) | v88(constB49, 0) | v144(constB49))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24735,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB49, 0) | (~v88(constB49, 2)) | v144(constB49) | (~v88(constB49, 1))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 83.55/53.12 tff(24736,plain,
% 83.55/53.12 (v144(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24735, 3741, 24729, 24725, 24721])).
% 83.55/53.12 tff(24737,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24738,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB49)) | v142(constB49))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24739,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB49)) | v142(constB49)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24738, 24737])).
% 83.55/53.12 tff(24740,plain,
% 83.55/53.12 (v142(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24739, 3755, 24736])).
% 83.55/53.12 tff(24741,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB49)) | v227(constB49))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB49)) | v227(constB49))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24742,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB49)) | v227(constB49))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24743,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB49)) | v227(constB49)),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 83.55/53.12 tff(24744,plain,
% 83.55/53.12 (v227(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24743, 3766, 24740])).
% 83.55/53.12 tff(24745,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB49) | (~v227(constB49)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB49) | (~v227(constB49)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24746,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB49) | (~v227(constB49)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24747,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB49) | (~v227(constB49))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 83.55/53.12 tff(24748,plain,
% 83.55/53.12 (v226(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24747, 3517, 24744])).
% 83.55/53.12 tff(24749,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24750,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB49)) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24751,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB49)) | (~v88(constB49, 1))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24750, 24749])).
% 83.55/53.12 tff(24752,plain,
% 83.55/53.12 (~v139(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24751, 3958, 24729])).
% 83.55/53.12 tff(24753,plain,
% 83.55/53.12 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(rewrite,[status(thm)],[])).
% 83.55/53.12 tff(24754,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB49)) | (~v88(constB49, 1)))),
% 83.55/53.12 inference(quant_inst,[status(thm)],[])).
% 83.55/53.12 tff(24755,plain,
% 83.55/53.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB49)) | (~v88(constB49, 1))),
% 83.55/53.12 inference(modus_ponens,[status(thm)],[24754, 24753])).
% 83.55/53.12 tff(24756,plain,
% 83.55/53.12 (~v140(constB49)),
% 83.55/53.12 inference(unit_resolution,[status(thm)],[24755, 3969, 24729])).
% 83.55/53.13 tff(24757,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24758,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB49) | v140(constB49) | (~v168(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24759,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB49) | v140(constB49) | (~v168(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24758, 24757])).
% 83.55/53.13 tff(24760,plain,
% 83.55/53.13 (~v168(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24759, 3983, 24756, 24752])).
% 83.55/53.13 tff(24761,plain,
% 83.55/53.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v226(constB49)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24762,plain,
% 83.55/53.13 (((~v226(constB49)) | v168(constB49) | (~v161(constB49))) <=> ((~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24763,plain,
% 83.55/53.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB49)) | v168(constB49) | (~v161(constB49)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB49)) | v168(constB49) | (~v226(constB49))))),
% 83.55/53.13 inference(monotonicity,[status(thm)],[24762])).
% 83.55/53.13 tff(24764,plain,
% 83.55/53.13 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB49)) | v168(constB49) | (~v161(constB49)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49)))),
% 83.55/53.13 inference(transitivity,[status(thm)],[24763, 24761])).
% 83.55/53.13 tff(24765,plain,
% 83.55/53.13 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB49)) | v168(constB49) | (~v161(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24766,plain,
% 83.55/53.13 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB49)) | v168(constB49) | (~v226(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24765, 24764])).
% 83.55/53.13 tff(24767,plain,
% 83.55/53.13 ((~v161(constB49)) | (~v226(constB49))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24766, 3997, 24760])).
% 83.55/53.13 tff(24768,plain,
% 83.55/53.13 (~v161(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24767, 24748])).
% 83.55/53.13 tff(24769,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24770,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB49) | (~v187(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24771,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB49) | (~v187(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24770, 24769])).
% 83.55/53.13 tff(24772,plain,
% 83.55/53.13 (~v187(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24771, 4015, 24768])).
% 83.55/53.13 tff(24773,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24774,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB49) | (~v185(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24775,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB49) | (~v185(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 83.55/53.13 tff(24776,plain,
% 83.55/53.13 (~v185(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24775, 4029, 24772])).
% 83.55/53.13 tff(24777,assumption,(v18(constB50)), introduced(assumption)).
% 83.55/53.13 tff(24778,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB50))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24779,plain,
% 83.55/53.13 ($false),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24778, 3600, 24777])).
% 83.55/53.13 tff(24780,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.13 tff(24781,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24782,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24783,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 83.55/53.13 tff(24784,plain,
% 83.55/53.13 (v22(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24783, 3613, 8024])).
% 83.55/53.13 tff(24785,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24786,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24787,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 83.55/53.13 tff(24788,plain,
% 83.55/53.13 (v18(constB50) | (~v19(constB50))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24787, 3627, 24784])).
% 83.55/53.13 tff(24789,plain,
% 83.55/53.13 (~v19(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24788, 24780])).
% 83.55/53.13 tff(24790,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24791,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24792,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24791, 24790])).
% 83.55/53.13 tff(24793,plain,
% 83.55/53.13 (v13(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24792, 3639, 24789])).
% 83.55/53.13 tff(24794,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24795,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24796,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 83.55/53.13 tff(24797,plain,
% 83.55/53.13 (v9(constB49) | (~v13(constB50))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24796, 3653, 8004])).
% 83.55/53.13 tff(24798,plain,
% 83.55/53.13 (v9(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24797, 24793])).
% 83.55/53.13 tff(24799,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v184(constB49))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB49) | (~v9(constB49)) | v184(constB49))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24800,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v184(constB49))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24801,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB49) | (~v9(constB49)) | v184(constB49)),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 83.55/53.13 tff(24802,plain,
% 83.55/53.13 ((~v9(constB49)) | v184(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24801, 3668, 7885])).
% 83.55/53.13 tff(24803,plain,
% 83.55/53.13 (v184(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24802, 24798])).
% 83.55/53.13 tff(24804,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB49)) | v183(constB49))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB49)) | v183(constB49))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24805,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB49)) | v183(constB49))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24806,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB49)) | v183(constB49)),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 83.55/53.13 tff(24807,plain,
% 83.55/53.13 (v183(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24806, 3680, 24803])).
% 83.55/53.13 tff(24808,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB49)) | (~v183(constB49)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB49)) | (~v183(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24809,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB49)) | (~v183(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24810,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB49)) | (~v183(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 83.55/53.13 tff(24811,plain,
% 83.55/53.13 (~v181(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24810, 4247, 24807])).
% 83.55/53.13 tff(24812,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24813,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB49) | v185(constB49) | (~v178(constB49)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24814,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB49) | v185(constB49) | (~v178(constB49))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24813, 24812])).
% 83.55/53.13 tff(24815,plain,
% 83.55/53.13 (v185(constB49) | (~v178(constB49))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24814, 4261, 24811])).
% 83.55/53.13 tff(24816,plain,
% 83.55/53.13 (~v178(constB49)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24815, 24776])).
% 83.55/53.13 tff(24817,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24818,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24819,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB49, constB50)) | v178(constB49) | (~v180(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24818, 24817])).
% 83.55/53.13 tff(24820,plain,
% 83.55/53.13 (v178(constB49) | (~v180(constB50))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24819, 4276, 8004])).
% 83.55/53.13 tff(24821,plain,
% 83.55/53.13 (~v180(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24820, 24816])).
% 83.55/53.13 tff(24822,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24823,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB50) | (~v181(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24824,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB50) | (~v181(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24823, 24822])).
% 83.55/53.13 tff(24825,plain,
% 83.55/53.13 (~v181(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24824, 4291, 24821])).
% 83.55/53.13 tff(24826,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24827,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB50)) | (~v184(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24828,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB50)) | (~v184(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 83.55/53.13 tff(24829,plain,
% 83.55/53.13 (~v184(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24828, 3901, 8024])).
% 83.55/53.13 tff(24830,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24831,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB50) | (~v187(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24832,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB50) | (~v187(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 83.55/53.13 tff(24833,plain,
% 83.55/53.13 (~v187(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24832, 4309, 24829])).
% 83.55/53.13 tff(24834,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24835,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB50) | (~v185(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24836,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB50) | (~v185(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 83.55/53.13 tff(24837,plain,
% 83.55/53.13 (~v185(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24836, 4029, 24833])).
% 83.55/53.13 tff(24838,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24839,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB50) | v185(constB50) | (~v178(constB50)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24840,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB50) | v185(constB50) | (~v178(constB50))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24839, 24838])).
% 83.55/53.13 tff(24841,plain,
% 83.55/53.13 (v181(constB50) | (~v178(constB50))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24840, 4261, 24837])).
% 83.55/53.13 tff(24842,plain,
% 83.55/53.13 (~v178(constB50)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24841, 24825])).
% 83.55/53.13 tff(24843,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24844,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24845,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB50, constB51)) | v178(constB50) | (~v180(constB51))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 83.55/53.13 tff(24846,plain,
% 83.55/53.13 (v178(constB50) | (~v180(constB51))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24845, 4276, 8090])).
% 83.55/53.13 tff(24847,plain,
% 83.55/53.13 (~v180(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24846, 24842])).
% 83.55/53.13 tff(24848,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB51) | (~v215(constB51)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB51) | (~v215(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24849,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB51) | (~v215(constB51)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24850,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB51) | (~v215(constB51))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 83.55/53.13 tff(24851,plain,
% 83.55/53.13 (~v215(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24850, 4427, 24847])).
% 83.55/53.13 tff(24852,assumption,(v18(constB52)), introduced(assumption)).
% 83.55/53.13 tff(24853,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB52))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24854,plain,
% 83.55/53.13 ($false),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24853, 3600, 24852])).
% 83.55/53.13 tff(24855,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.13 tff(24856,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24857,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24858,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 83.55/53.13 tff(24859,plain,
% 83.55/53.13 (v22(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24858, 3613, 8255])).
% 83.55/53.13 tff(24860,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24861,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24862,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 83.55/53.13 tff(24863,plain,
% 83.55/53.13 (v18(constB52) | (~v19(constB52))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24862, 3627, 24859])).
% 83.55/53.13 tff(24864,plain,
% 83.55/53.13 (~v19(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24863, 24855])).
% 83.55/53.13 tff(24865,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24866,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24867,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 83.55/53.13 tff(24868,plain,
% 83.55/53.13 (v13(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24867, 3639, 24864])).
% 83.55/53.13 tff(24869,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24870,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24871,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 83.55/53.13 tff(24872,plain,
% 83.55/53.13 (v9(constB51) | (~v13(constB52))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24871, 3653, 8235])).
% 83.55/53.13 tff(24873,plain,
% 83.55/53.13 (v9(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24872, 24868])).
% 83.55/53.13 tff(24874,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24875,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v184(constB51))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24876,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB51) | (~v9(constB51)) | v184(constB51)),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24875, 24874])).
% 83.55/53.13 tff(24877,plain,
% 83.55/53.13 ((~v9(constB51)) | v184(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24876, 3668, 8087])).
% 83.55/53.13 tff(24878,plain,
% 83.55/53.13 (v184(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24877, 24873])).
% 83.55/53.13 tff(24879,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB51) | (~v184(constB51)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB51) | (~v184(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24880,plain,
% 83.55/53.13 (((~v184(constB51)) | v183(constB51)) <=> (v183(constB51) | (~v184(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24881,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB51)) | v183(constB51))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB51) | (~v184(constB51))))),
% 83.55/53.13 inference(monotonicity,[status(thm)],[24880])).
% 83.55/53.13 tff(24882,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB51)) | v183(constB51))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB51) | (~v184(constB51)))),
% 83.55/53.13 inference(transitivity,[status(thm)],[24881, 24879])).
% 83.55/53.13 tff(24883,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB51)) | v183(constB51))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24884,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB51) | (~v184(constB51))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 83.55/53.13 tff(24885,plain,
% 83.55/53.13 (v183(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24884, 3680, 24878])).
% 83.55/53.13 tff(24886,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB51)) | (~v214(constB51)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB51)) | (~v214(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24887,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB51)) | (~v214(constB51)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24888,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB51)) | (~v214(constB51))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24887, 24886])).
% 83.55/53.13 tff(24889,plain,
% 83.55/53.13 (~v214(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24888, 4593, 24885])).
% 83.55/53.13 tff(24890,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB51) | v215(constB51) | (~v211(constB51)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB51) | v215(constB51) | (~v211(constB51)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24891,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB51) | v215(constB51) | (~v211(constB51)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24892,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB51) | v215(constB51) | (~v211(constB51))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24891, 24890])).
% 83.55/53.13 tff(24893,plain,
% 83.55/53.13 (v215(constB51) | (~v211(constB51))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24892, 4607, 24889])).
% 83.55/53.13 tff(24894,plain,
% 83.55/53.13 (~v211(constB51)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24893, 24851])).
% 83.55/53.13 tff(24895,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24896,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24897,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB51, constB52)) | v211(constB51) | (~v213(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 83.55/53.13 tff(24898,plain,
% 83.55/53.13 (v211(constB51) | (~v213(constB52))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24897, 4622, 8235])).
% 83.55/53.13 tff(24899,plain,
% 83.55/53.13 (~v213(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24898, 24894])).
% 83.55/53.13 tff(24900,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB52) | (~v214(constB52)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB52) | (~v214(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24901,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB52) | (~v214(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24902,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB52) | (~v214(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24901, 24900])).
% 83.55/53.13 tff(24903,plain,
% 83.55/53.13 (~v214(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24902, 4637, 24899])).
% 83.55/53.13 tff(24904,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24905,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB52)) | (~v184(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24906,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB52)) | (~v184(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24905, 24904])).
% 83.55/53.13 tff(24907,plain,
% 83.55/53.13 (~v184(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24906, 3901, 8255])).
% 83.55/53.13 tff(24908,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB52) | (~v217(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB52) | (~v217(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24909,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB52) | (~v217(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24910,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB52) | (~v217(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 83.55/53.13 tff(24911,plain,
% 83.55/53.13 (~v217(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24910, 4651, 24907])).
% 83.55/53.13 tff(24912,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB52) | (~v216(constB52)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB52) | (~v216(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24913,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB52) | (~v216(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24914,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB52) | (~v216(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24913, 24912])).
% 83.55/53.13 tff(24915,plain,
% 83.55/53.13 (~v216(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24914, 4565, 24911])).
% 83.55/53.13 tff(24916,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB52) | (~v215(constB52)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB52) | (~v215(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24917,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB52) | (~v215(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24918,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB52) | (~v215(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 83.55/53.13 tff(24919,plain,
% 83.55/53.13 (~v215(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24918, 4579, 24915])).
% 83.55/53.13 tff(24920,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB52) | v215(constB52) | (~v211(constB52)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB52) | v215(constB52) | (~v211(constB52)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24921,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB52) | v215(constB52) | (~v211(constB52)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24922,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB52) | v215(constB52) | (~v211(constB52))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24921, 24920])).
% 83.55/53.13 tff(24923,plain,
% 83.55/53.13 (v214(constB52) | (~v211(constB52))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24922, 4607, 24919])).
% 83.55/53.13 tff(24924,plain,
% 83.55/53.13 (~v211(constB52)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24923, 24903])).
% 83.55/53.13 tff(24925,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24926,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24927,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB52, constB53)) | v211(constB52) | (~v213(constB53))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 83.55/53.13 tff(24928,plain,
% 83.55/53.13 (v211(constB52) | (~v213(constB53))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24927, 4622, 8297])).
% 83.55/53.13 tff(24929,plain,
% 83.55/53.13 (~v213(constB53)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24928, 24924])).
% 83.55/53.13 tff(24930,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB53) | (~v245(constB53)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB53) | (~v245(constB53)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24931,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB53) | (~v245(constB53)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24932,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB53) | (~v245(constB53))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24931, 24930])).
% 83.55/53.13 tff(24933,plain,
% 83.55/53.13 (~v245(constB53)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24932, 4796, 24929])).
% 83.55/53.13 tff(24934,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB53)) | (~v244(constB53)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB53)) | (~v244(constB53)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24935,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB53)) | (~v244(constB53)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24936,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB53)) | (~v244(constB53))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24935, 24934])).
% 83.55/53.13 tff(24937,plain,
% 83.55/53.13 (~v244(constB53)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24936, 4891, 24577])).
% 83.55/53.13 tff(24938,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB53) | v245(constB53) | (~v241(constB53)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB53) | v245(constB53) | (~v241(constB53)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24939,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB53) | v245(constB53) | (~v241(constB53)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24940,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB53) | v245(constB53) | (~v241(constB53))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 83.55/53.13 tff(24941,plain,
% 83.55/53.13 (v245(constB53) | (~v241(constB53))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24940, 4905, 24937])).
% 83.55/53.13 tff(24942,plain,
% 83.55/53.13 (~v241(constB53)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24941, 24933])).
% 83.55/53.13 tff(24943,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24944,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24945,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB53, constB54)) | v241(constB53) | (~v243(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24944, 24943])).
% 83.55/53.13 tff(24946,plain,
% 83.55/53.13 (v241(constB53) | (~v243(constB54))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24945, 4920, 8438])).
% 83.55/53.13 tff(24947,plain,
% 83.55/53.13 (~v243(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24946, 24942])).
% 83.55/53.13 tff(24948,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB54) | (~v244(constB54)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB54) | (~v244(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24949,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB54) | (~v244(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24950,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB54) | (~v244(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24949, 24948])).
% 83.55/53.13 tff(24951,plain,
% 83.55/53.13 (~v244(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24950, 4935, 24947])).
% 83.55/53.13 tff(24952,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB54) | (~v247(constB54)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB54) | (~v247(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24953,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB54) | (~v247(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24954,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB54) | (~v247(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24953, 24952])).
% 83.55/53.13 tff(24955,plain,
% 83.55/53.13 (~v247(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24954, 4949, 24599])).
% 83.55/53.13 tff(24956,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB54) | (~v246(constB54)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB54) | (~v246(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24957,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB54) | (~v246(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24958,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB54) | (~v246(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24957, 24956])).
% 83.55/53.13 tff(24959,plain,
% 83.55/53.13 (~v246(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24958, 4863, 24955])).
% 83.55/53.13 tff(24960,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB54) | (~v245(constB54)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB54) | (~v245(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24961,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB54) | (~v245(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24962,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB54) | (~v245(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24961, 24960])).
% 83.55/53.13 tff(24963,plain,
% 83.55/53.13 (~v245(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24962, 4877, 24959])).
% 83.55/53.13 tff(24964,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB54) | v245(constB54) | (~v241(constB54)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB54) | v245(constB54) | (~v241(constB54)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24965,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB54) | v245(constB54) | (~v241(constB54)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24966,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB54) | v245(constB54) | (~v241(constB54))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24965, 24964])).
% 83.55/53.13 tff(24967,plain,
% 83.55/53.13 (v244(constB54) | (~v241(constB54))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24966, 4905, 24963])).
% 83.55/53.13 tff(24968,plain,
% 83.55/53.13 (~v241(constB54)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24967, 24951])).
% 83.55/53.13 tff(24969,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24970,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24971,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB54, constB55)) | v241(constB54) | (~v243(constB55))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 83.55/53.13 tff(24972,plain,
% 83.55/53.13 (v241(constB54) | (~v243(constB55))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24971, 4920, 8500])).
% 83.55/53.13 tff(24973,plain,
% 83.55/53.13 (~v243(constB55)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24972, 24968])).
% 83.55/53.13 tff(24974,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB55) | (~v260(constB55)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB55) | (~v260(constB55)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24975,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB55) | (~v260(constB55)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24976,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB55) | (~v260(constB55))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 83.55/53.13 tff(24977,plain,
% 83.55/53.13 (~v260(constB55)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24976, 5136, 24973])).
% 83.55/53.13 tff(24978,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB55)) | (~v259(constB55)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB55)) | (~v259(constB55)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24979,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB55)) | (~v259(constB55)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24980,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB55)) | (~v259(constB55))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 83.55/53.13 tff(24981,plain,
% 83.55/53.13 (~v259(constB55)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24980, 5122, 24388])).
% 83.55/53.13 tff(24982,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB55) | v260(constB55) | (~v256(constB55)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB55) | v260(constB55) | (~v256(constB55)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24983,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB55) | v260(constB55) | (~v256(constB55)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24984,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB55) | v260(constB55) | (~v256(constB55))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 83.55/53.13 tff(24985,plain,
% 83.55/53.13 (v260(constB55) | (~v256(constB55))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24984, 5150, 24981])).
% 83.55/53.13 tff(24986,plain,
% 83.55/53.13 (~v256(constB55)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24985, 24977])).
% 83.55/53.13 tff(24987,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24988,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24989,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB55, constB56)) | v256(constB55) | (~v258(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24988, 24987])).
% 83.55/53.13 tff(24990,plain,
% 83.55/53.13 (v256(constB55) | (~v258(constB56))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24989, 5165, 8634])).
% 83.55/53.13 tff(24991,plain,
% 83.55/53.13 (~v258(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24990, 24986])).
% 83.55/53.13 tff(24992,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB56) | (~v259(constB56)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB56) | (~v259(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24993,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB56) | (~v259(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24994,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB56) | (~v259(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24993, 24992])).
% 83.55/53.13 tff(24995,plain,
% 83.55/53.13 (~v259(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24994, 5180, 24991])).
% 83.55/53.13 tff(24996,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB56) | (~v262(constB56)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB56) | (~v262(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(24997,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB56) | (~v262(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(24998,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB56) | (~v262(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[24997, 24996])).
% 83.55/53.13 tff(24999,plain,
% 83.55/53.13 (~v262(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[24998, 3915, 24410])).
% 83.55/53.13 tff(25000,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB56) | (~v261(constB56)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB56) | (~v261(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(25001,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB56) | (~v261(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(25002,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB56) | (~v261(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[25001, 25000])).
% 83.55/53.13 tff(25003,plain,
% 83.55/53.13 (~v261(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[25002, 3829, 24999])).
% 83.55/53.13 tff(25004,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB56) | (~v260(constB56)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB56) | (~v260(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(25005,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB56) | (~v260(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(25006,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB56) | (~v260(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[25005, 25004])).
% 83.55/53.13 tff(25007,plain,
% 83.55/53.13 (~v260(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[25006, 5194, 25003])).
% 83.55/53.13 tff(25008,plain,
% 83.55/53.13 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB56) | v260(constB56) | (~v256(constB56)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB56) | v260(constB56) | (~v256(constB56)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(25009,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB56) | v260(constB56) | (~v256(constB56)))),
% 83.55/53.13 inference(quant_inst,[status(thm)],[])).
% 83.55/53.13 tff(25010,plain,
% 83.55/53.13 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB56) | v260(constB56) | (~v256(constB56))),
% 83.55/53.13 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 83.55/53.13 tff(25011,plain,
% 83.55/53.13 (v259(constB56) | (~v256(constB56))),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[25010, 5150, 25007])).
% 83.55/53.13 tff(25012,plain,
% 83.55/53.13 (~v256(constB56)),
% 83.55/53.13 inference(unit_resolution,[status(thm)],[25011, 24995])).
% 83.55/53.13 tff(25013,plain,
% 83.55/53.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))),
% 83.55/53.13 inference(rewrite,[status(thm)],[])).
% 83.55/53.13 tff(25014,plain,
% 83.55/53.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25015,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB56, constB57)) | v256(constB56) | (~v258(constB57))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25014, 25013])).
% 83.55/53.14 tff(25016,plain,
% 83.55/53.14 (v256(constB56) | (~v258(constB57))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25015, 5165, 8696])).
% 83.55/53.14 tff(25017,plain,
% 83.55/53.14 (~v258(constB57)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25016, 25012])).
% 83.55/53.14 tff(25018,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB57) | (~v271(constB57)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB57) | (~v271(constB57)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25019,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB57) | (~v271(constB57)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25020,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB57) | (~v271(constB57))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25019, 25018])).
% 83.55/53.14 tff(25021,plain,
% 83.55/53.14 (~v271(constB57)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25020, 23584, 25017])).
% 83.55/53.14 tff(25022,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB57)) | (~v270(constB57)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB57)) | (~v270(constB57)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25023,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB57)) | (~v270(constB57)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25024,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB57)) | (~v270(constB57))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25023, 25022])).
% 83.55/53.14 tff(25025,plain,
% 83.55/53.14 (~v270(constB57)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25024, 3694, 24245])).
% 83.55/53.14 tff(25026,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB57) | v271(constB57) | (~v267(constB57)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB57) | v271(constB57) | (~v267(constB57)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25027,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB57) | v271(constB57) | (~v267(constB57)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25028,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB57) | v271(constB57) | (~v267(constB57))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25027, 25026])).
% 83.55/53.14 tff(25029,plain,
% 83.55/53.14 (v271(constB57) | (~v267(constB57))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25028, 3857, 25025])).
% 83.55/53.14 tff(25030,plain,
% 83.55/53.14 (~v267(constB57)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25029, 25021])).
% 83.55/53.14 tff(25031,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25032,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25033,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB57, constB58)) | v267(constB57) | (~v269(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 83.55/53.14 tff(25034,plain,
% 83.55/53.14 (v267(constB57) | (~v269(constB58))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25033, 3872, 8826])).
% 83.55/53.14 tff(25035,plain,
% 83.55/53.14 (~v269(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25034, 25030])).
% 83.55/53.14 tff(25036,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB58) | (~v270(constB58)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB58) | (~v270(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25037,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB58) | (~v270(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25038,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB58) | (~v270(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25037, 25036])).
% 83.55/53.14 tff(25039,plain,
% 83.55/53.14 (~v270(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25038, 3887, 25035])).
% 83.55/53.14 tff(25040,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB58) | (~v262(constB58)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB58) | (~v262(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25041,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB58) | (~v262(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25042,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB58) | (~v262(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25041, 25040])).
% 83.55/53.14 tff(25043,plain,
% 83.55/53.14 (~v262(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25042, 3915, 24267])).
% 83.55/53.14 tff(25044,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB58) | (~v261(constB58)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB58) | (~v261(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25045,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB58) | (~v261(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25046,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB58) | (~v261(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 83.55/53.14 tff(25047,plain,
% 83.55/53.14 (~v261(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25046, 3829, 25043])).
% 83.55/53.14 tff(25048,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB58) | (~v271(constB58)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB58) | (~v271(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25049,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB58) | (~v271(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25050,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB58) | (~v271(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25049, 25048])).
% 83.55/53.14 tff(25051,plain,
% 83.55/53.14 (~v271(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25050, 3843, 25047])).
% 83.55/53.14 tff(25052,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB58) | v271(constB58) | (~v267(constB58)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB58) | v271(constB58) | (~v267(constB58)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25053,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB58) | v271(constB58) | (~v267(constB58)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25054,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB58) | v271(constB58) | (~v267(constB58))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25053, 25052])).
% 83.55/53.14 tff(25055,plain,
% 83.55/53.14 (v270(constB58) | (~v267(constB58))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25054, 3857, 25051])).
% 83.55/53.14 tff(25056,plain,
% 83.55/53.14 (~v267(constB58)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25055, 25039])).
% 83.55/53.14 tff(25057,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25058,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25059,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB58, constB59)) | v267(constB58) | (~v269(constB59))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25058, 25057])).
% 83.55/53.14 tff(25060,plain,
% 83.55/53.14 (v267(constB58) | (~v269(constB59))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25059, 3872, 8888])).
% 83.55/53.14 tff(25061,plain,
% 83.55/53.14 (~v269(constB59)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25060, 25056])).
% 83.55/53.14 tff(25062,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB59) | (~v307(constB59)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB59) | (~v307(constB59)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25063,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB59) | (~v307(constB59)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25064,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB59) | (~v307(constB59))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25063, 25062])).
% 83.55/53.14 tff(25065,plain,
% 83.55/53.14 (~v307(constB59)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25064, 3947, 25061])).
% 83.55/53.14 tff(25066,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB59) | v289(constB59) | (~v290(constB59)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB59) | v289(constB59) | (~v290(constB59)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25067,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB59) | v289(constB59) | (~v290(constB59)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25068,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB59) | v289(constB59) | (~v290(constB59))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25067, 25066])).
% 83.55/53.14 tff(25069,plain,
% 83.55/53.14 (v289(constB59) | (~v290(constB59))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25068, 5092, 25065])).
% 83.55/53.14 tff(25070,plain,
% 83.55/53.14 (v289(constB59)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25069, 24717])).
% 83.55/53.14 tff(25071,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB47, 2)) | v88(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB47, 2)) | v88(constB47, 2))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25072,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB47, 2)) | v88(constB47, 2))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25073,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB47, 2)) | v88(constB47, 2)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25072, 25071])).
% 83.55/53.14 tff(25074,plain,
% 83.55/53.14 (v88(constB47, 2)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25073, 3716, 7727])).
% 83.55/53.14 tff(25075,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB47)) | (~v88(constB47, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB47)) | (~v88(constB47, 2)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25076,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB47)) | (~v88(constB47, 2)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25077,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB47)) | (~v88(constB47, 2))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25076, 25075])).
% 83.55/53.14 tff(25078,plain,
% 83.55/53.14 (~v140(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25077, 4044, 25074])).
% 83.55/53.14 tff(25079,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB47, 0)) | v88(constB47, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB47, 0)) | v88(constB47, 0))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25080,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB47, 0)) | v88(constB47, 0))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25081,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB47, 0)) | v88(constB47, 0)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25080, 25079])).
% 83.55/53.14 tff(25082,plain,
% 83.55/53.14 (v88(constB47, 0)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25081, 3447, 7792])).
% 83.55/53.14 tff(25083,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB47)) | (~v88(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB47)) | (~v88(constB47, 0)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25084,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB47)) | (~v88(constB47, 0)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25085,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB47)) | (~v88(constB47, 0))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25084, 25083])).
% 83.55/53.14 tff(25086,plain,
% 83.55/53.14 (~v139(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25085, 4059, 25082])).
% 83.55/53.14 tff(25087,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB47) | v140(constB47) | (~v168(constB47)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB47) | v140(constB47) | (~v168(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25088,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB47) | v140(constB47) | (~v168(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25089,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB47) | v140(constB47) | (~v168(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25088, 25087])).
% 83.55/53.14 tff(25090,plain,
% 83.55/53.14 (~v168(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25089, 3983, 25086, 25078])).
% 83.55/53.14 tff(25091,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB47, 1)) | v90(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB47, 1)) | v90(constB47, 1))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25092,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB47, 1)) | v90(constB47, 1))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25093,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB47, 1)) | v90(constB47, 1)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25092, 25091])).
% 83.55/53.14 tff(25094,plain,
% 83.55/53.14 (~v88(constB47, 1)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25093, 3405, 7761])).
% 83.55/53.14 tff(25095,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25096,plain,
% 83.55/53.14 (((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47)) <=> ((~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25097,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0))))),
% 83.55/53.14 inference(monotonicity,[status(thm)],[25096])).
% 83.55/53.14 tff(25098,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0)))),
% 83.55/53.14 inference(transitivity,[status(thm)],[25097, 25095])).
% 83.55/53.14 tff(25099,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB47, 2)) | v88(constB47, 1) | (~v88(constB47, 0)) | v147(constB47))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25100,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB47, 2)) | v147(constB47) | v88(constB47, 1) | (~v88(constB47, 0))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 83.55/53.14 tff(25101,plain,
% 83.55/53.14 (v147(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25100, 4081, 25082, 25074, 25094])).
% 83.55/53.14 tff(25102,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB47)) | v145(constB47))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB47)) | v145(constB47))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25103,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB47)) | v145(constB47))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25104,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB47)) | v145(constB47)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 83.55/53.14 tff(25105,plain,
% 83.55/53.14 (v145(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25104, 4095, 25101])).
% 83.55/53.14 tff(25106,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB47) | (~v145(constB47)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB47) | (~v145(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25107,plain,
% 83.55/53.14 (((~v145(constB47)) | v226(constB47)) <=> (v226(constB47) | (~v145(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25108,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB47)) | v226(constB47))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB47) | (~v145(constB47))))),
% 83.55/53.14 inference(monotonicity,[status(thm)],[25107])).
% 83.55/53.14 tff(25109,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB47)) | v226(constB47))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB47) | (~v145(constB47)))),
% 83.55/53.14 inference(transitivity,[status(thm)],[25108, 25106])).
% 83.55/53.14 tff(25110,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB47)) | v226(constB47))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25111,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB47) | (~v145(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 83.55/53.14 tff(25112,plain,
% 83.55/53.14 (v226(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25111, 4106, 25105])).
% 83.55/53.14 tff(25113,plain,
% 83.55/53.14 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB47)) | (~v226(constB47)) | v168(constB47))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | (~v226(constB47)) | v168(constB47))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25114,plain,
% 83.55/53.14 (((~v226(constB47)) | v168(constB47) | (~v161(constB47))) <=> ((~v161(constB47)) | (~v226(constB47)) | v168(constB47))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25115,plain,
% 83.55/53.14 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB47)) | v168(constB47) | (~v161(constB47)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB47)) | (~v226(constB47)) | v168(constB47)))),
% 83.55/53.14 inference(monotonicity,[status(thm)],[25114])).
% 83.55/53.14 tff(25116,plain,
% 83.55/53.14 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB47)) | v168(constB47) | (~v161(constB47)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | (~v226(constB47)) | v168(constB47))),
% 83.55/53.14 inference(transitivity,[status(thm)],[25115, 25113])).
% 83.55/53.14 tff(25117,plain,
% 83.55/53.14 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB47)) | v168(constB47) | (~v161(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25118,plain,
% 83.55/53.14 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB47)) | (~v226(constB47)) | v168(constB47)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 83.55/53.14 tff(25119,plain,
% 83.55/53.14 (~v161(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25118, 3997, 25112, 25090])).
% 83.55/53.14 tff(25120,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB47) | (~v187(constB47)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB47) | (~v187(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25121,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB47) | (~v187(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25122,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB47) | (~v187(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 83.55/53.14 tff(25123,plain,
% 83.55/53.14 (~v187(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25122, 4015, 25119])).
% 83.55/53.14 tff(25124,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25125,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB47) | (~v185(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25126,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB47) | (~v185(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 83.55/53.14 tff(25127,plain,
% 83.55/53.14 (~v185(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25126, 4029, 25123])).
% 83.55/53.14 tff(25128,assumption,(v18(constB48)), introduced(assumption)).
% 83.55/53.14 tff(25129,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB48))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25130,plain,
% 83.55/53.14 ($false),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25129, 3600, 25128])).
% 83.55/53.14 tff(25131,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.14 tff(25132,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25133,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25134,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 83.55/53.14 tff(25135,plain,
% 83.55/53.14 (v22(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25134, 3613, 7846])).
% 83.55/53.14 tff(25136,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25137,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25138,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 83.55/53.14 tff(25139,plain,
% 83.55/53.14 (v18(constB48) | (~v19(constB48))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25138, 3627, 25135])).
% 83.55/53.14 tff(25140,plain,
% 83.55/53.14 (~v19(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25139, 25131])).
% 83.55/53.14 tff(25141,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25142,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25143,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25142, 25141])).
% 83.55/53.14 tff(25144,plain,
% 83.55/53.14 (v13(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25143, 3639, 25140])).
% 83.55/53.14 tff(25145,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25146,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25147,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25146, 25145])).
% 83.55/53.14 tff(25148,plain,
% 83.55/53.14 (v9(constB47) | (~v13(constB48))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25147, 3653, 7826])).
% 83.55/53.14 tff(25149,plain,
% 83.55/53.14 (v9(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25148, 25144])).
% 83.55/53.14 tff(25150,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25151,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v184(constB47))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25152,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB47) | (~v9(constB47)) | v184(constB47)),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25151, 25150])).
% 83.55/53.14 tff(25153,plain,
% 83.55/53.14 ((~v9(constB47)) | v184(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25152, 3668, 7703])).
% 83.55/53.14 tff(25154,plain,
% 83.55/53.14 (v184(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25153, 25149])).
% 83.55/53.14 tff(25155,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB47) | (~v184(constB47)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25156,plain,
% 83.55/53.14 (((~v184(constB47)) | v183(constB47)) <=> (v183(constB47) | (~v184(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25157,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB47) | (~v184(constB47))))),
% 83.55/53.14 inference(monotonicity,[status(thm)],[25156])).
% 83.55/53.14 tff(25158,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47)))),
% 83.55/53.14 inference(transitivity,[status(thm)],[25157, 25155])).
% 83.55/53.14 tff(25159,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB47)) | v183(constB47))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25160,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB47) | (~v184(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25159, 25158])).
% 83.55/53.14 tff(25161,plain,
% 83.55/53.14 (v183(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25160, 3680, 25154])).
% 83.55/53.14 tff(25162,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB47)) | (~v183(constB47)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB47)) | (~v183(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25163,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB47)) | (~v183(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25164,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB47)) | (~v183(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25163, 25162])).
% 83.55/53.14 tff(25165,plain,
% 83.55/53.14 (~v181(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25164, 4247, 25161])).
% 83.55/53.14 tff(25166,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25167,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB47) | v185(constB47) | (~v178(constB47)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25168,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB47) | v185(constB47) | (~v178(constB47))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25167, 25166])).
% 83.55/53.14 tff(25169,plain,
% 83.55/53.14 (v185(constB47) | (~v178(constB47))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25168, 4261, 25165])).
% 83.55/53.14 tff(25170,plain,
% 83.55/53.14 (~v178(constB47)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25169, 25127])).
% 83.55/53.14 tff(25171,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25172,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25173,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB47, constB48)) | v178(constB47) | (~v180(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25172, 25171])).
% 83.55/53.14 tff(25174,plain,
% 83.55/53.14 (v178(constB47) | (~v180(constB48))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25173, 4276, 7826])).
% 83.55/53.14 tff(25175,plain,
% 83.55/53.14 (~v180(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25174, 25170])).
% 83.55/53.14 tff(25176,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25177,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB48) | (~v181(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25178,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB48) | (~v181(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 83.55/53.14 tff(25179,plain,
% 83.55/53.14 (~v181(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25178, 4291, 25175])).
% 83.55/53.14 tff(25180,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25181,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB48)) | (~v184(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25182,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB48)) | (~v184(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25181, 25180])).
% 83.55/53.14 tff(25183,plain,
% 83.55/53.14 (~v184(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25182, 3901, 7846])).
% 83.55/53.14 tff(25184,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25185,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB48) | (~v187(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25186,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB48) | (~v187(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25185, 25184])).
% 83.55/53.14 tff(25187,plain,
% 83.55/53.14 (~v187(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25186, 4309, 25183])).
% 83.55/53.14 tff(25188,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25189,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB48) | (~v185(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25190,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB48) | (~v185(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25189, 25188])).
% 83.55/53.14 tff(25191,plain,
% 83.55/53.14 (~v185(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25190, 4029, 25187])).
% 83.55/53.14 tff(25192,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25193,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB48) | v185(constB48) | (~v178(constB48)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25194,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB48) | v185(constB48) | (~v178(constB48))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25193, 25192])).
% 83.55/53.14 tff(25195,plain,
% 83.55/53.14 (v181(constB48) | (~v178(constB48))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25194, 4261, 25191])).
% 83.55/53.14 tff(25196,plain,
% 83.55/53.14 (~v178(constB48)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25195, 25179])).
% 83.55/53.14 tff(25197,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25198,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25199,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB48, constB49)) | v178(constB48) | (~v180(constB49))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25198, 25197])).
% 83.55/53.14 tff(25200,plain,
% 83.55/53.14 (v178(constB48) | (~v180(constB49))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25199, 4276, 7888])).
% 83.55/53.14 tff(25201,plain,
% 83.55/53.14 (~v180(constB49)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25200, 25196])).
% 83.55/53.14 tff(25202,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB49) | (~v215(constB49)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB49) | (~v215(constB49)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25203,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB49) | (~v215(constB49)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25204,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB49) | (~v215(constB49))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25203, 25202])).
% 83.55/53.14 tff(25205,plain,
% 83.55/53.14 (~v215(constB49)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25204, 4427, 25201])).
% 83.55/53.14 tff(25206,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB49)) | (~v214(constB49)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB49)) | (~v214(constB49)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25207,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB49)) | (~v214(constB49)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25208,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB49)) | (~v214(constB49))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25207, 25206])).
% 83.55/53.14 tff(25209,plain,
% 83.55/53.14 (~v214(constB49)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25208, 4593, 24807])).
% 83.55/53.14 tff(25210,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB49) | v215(constB49) | (~v211(constB49)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB49) | v215(constB49) | (~v211(constB49)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25211,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB49) | v215(constB49) | (~v211(constB49)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25212,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB49) | v215(constB49) | (~v211(constB49))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 83.55/53.14 tff(25213,plain,
% 83.55/53.14 (v215(constB49) | (~v211(constB49))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25212, 4607, 25209])).
% 83.55/53.14 tff(25214,plain,
% 83.55/53.14 (~v211(constB49)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25213, 25205])).
% 83.55/53.14 tff(25215,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB49, constB50)) | v211(constB49) | (~v213(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB49, constB50)) | v211(constB49) | (~v213(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25216,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB49, constB50)) | v211(constB49) | (~v213(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25217,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB49, constB50)) | v211(constB49) | (~v213(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 83.55/53.14 tff(25218,plain,
% 83.55/53.14 (v211(constB49) | (~v213(constB50))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25217, 4622, 8004])).
% 83.55/53.14 tff(25219,plain,
% 83.55/53.14 (~v213(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25218, 25214])).
% 83.55/53.14 tff(25220,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB50) | (~v214(constB50)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB50) | (~v214(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25221,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB50) | (~v214(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25222,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB50) | (~v214(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 83.55/53.14 tff(25223,plain,
% 83.55/53.14 (~v214(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25222, 4637, 25219])).
% 83.55/53.14 tff(25224,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB50) | (~v217(constB50)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB50) | (~v217(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25225,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB50) | (~v217(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25226,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB50) | (~v217(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 83.55/53.14 tff(25227,plain,
% 83.55/53.14 (~v217(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25226, 4651, 24829])).
% 83.55/53.14 tff(25228,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB50) | (~v216(constB50)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB50) | (~v216(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25229,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB50) | (~v216(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25230,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB50) | (~v216(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25229, 25228])).
% 83.55/53.14 tff(25231,plain,
% 83.55/53.14 (~v216(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25230, 4565, 25227])).
% 83.55/53.14 tff(25232,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB50) | (~v215(constB50)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB50) | (~v215(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25233,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB50) | (~v215(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25234,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB50) | (~v215(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25233, 25232])).
% 83.55/53.14 tff(25235,plain,
% 83.55/53.14 (~v215(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25234, 4579, 25231])).
% 83.55/53.14 tff(25236,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB50) | v215(constB50) | (~v211(constB50)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB50) | v215(constB50) | (~v211(constB50)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25237,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB50) | v215(constB50) | (~v211(constB50)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25238,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB50) | v215(constB50) | (~v211(constB50))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25237, 25236])).
% 83.55/53.14 tff(25239,plain,
% 83.55/53.14 (v214(constB50) | (~v211(constB50))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25238, 4607, 25235])).
% 83.55/53.14 tff(25240,plain,
% 83.55/53.14 (~v211(constB50)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25239, 25223])).
% 83.55/53.14 tff(25241,plain,
% 83.55/53.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB50, constB51)) | v211(constB50) | (~v213(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB50, constB51)) | v211(constB50) | (~v213(constB51)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25242,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB50, constB51)) | v211(constB50) | (~v213(constB51)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25243,plain,
% 83.55/53.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB50, constB51)) | v211(constB50) | (~v213(constB51))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25242, 25241])).
% 83.55/53.14 tff(25244,plain,
% 83.55/53.14 (v211(constB50) | (~v213(constB51))),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25243, 4622, 8090])).
% 83.55/53.14 tff(25245,plain,
% 83.55/53.14 (~v213(constB51)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25244, 25240])).
% 83.55/53.14 tff(25246,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB51) | (~v245(constB51)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB51) | (~v245(constB51)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25247,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB51) | (~v245(constB51)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25248,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB51) | (~v245(constB51))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 83.55/53.14 tff(25249,plain,
% 83.55/53.14 (~v245(constB51)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25248, 4796, 25245])).
% 83.55/53.14 tff(25250,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB51)) | (~v244(constB51)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB51)) | (~v244(constB51)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25251,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB51)) | (~v244(constB51)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25252,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB51)) | (~v244(constB51))),
% 83.55/53.14 inference(modus_ponens,[status(thm)],[25251, 25250])).
% 83.55/53.14 tff(25253,plain,
% 83.55/53.14 (~v244(constB51)),
% 83.55/53.14 inference(unit_resolution,[status(thm)],[25252, 4891, 24885])).
% 83.55/53.14 tff(25254,plain,
% 83.55/53.14 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB51) | v245(constB51) | (~v241(constB51)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB51) | v245(constB51) | (~v241(constB51)))),
% 83.55/53.14 inference(rewrite,[status(thm)],[])).
% 83.55/53.14 tff(25255,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB51) | v245(constB51) | (~v241(constB51)))),
% 83.55/53.14 inference(quant_inst,[status(thm)],[])).
% 83.55/53.14 tff(25256,plain,
% 83.55/53.14 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB51) | v245(constB51) | (~v241(constB51))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 83.55/53.15 tff(25257,plain,
% 83.55/53.15 (v245(constB51) | (~v241(constB51))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25256, 4905, 25253])).
% 83.55/53.15 tff(25258,plain,
% 83.55/53.15 (~v241(constB51)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25257, 25249])).
% 83.55/53.15 tff(25259,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB51, constB52)) | v241(constB51) | (~v243(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB51, constB52)) | v241(constB51) | (~v243(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25260,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB51, constB52)) | v241(constB51) | (~v243(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25261,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB51, constB52)) | v241(constB51) | (~v243(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25260, 25259])).
% 83.55/53.15 tff(25262,plain,
% 83.55/53.15 (v241(constB51) | (~v243(constB52))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25261, 4920, 8235])).
% 83.55/53.15 tff(25263,plain,
% 83.55/53.15 (~v243(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25262, 25258])).
% 83.55/53.15 tff(25264,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB52) | (~v244(constB52)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB52) | (~v244(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25265,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB52) | (~v244(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25266,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB52) | (~v244(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25265, 25264])).
% 83.55/53.15 tff(25267,plain,
% 83.55/53.15 (~v244(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25266, 4935, 25263])).
% 83.55/53.15 tff(25268,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB52) | (~v247(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB52) | (~v247(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25269,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB52) | (~v247(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25270,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB52) | (~v247(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25269, 25268])).
% 83.55/53.15 tff(25271,plain,
% 83.55/53.15 (~v247(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25270, 4949, 24907])).
% 83.55/53.15 tff(25272,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB52) | (~v246(constB52)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB52) | (~v246(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25273,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB52) | (~v246(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25274,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB52) | (~v246(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25273, 25272])).
% 83.55/53.15 tff(25275,plain,
% 83.55/53.15 (~v246(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25274, 4863, 25271])).
% 83.55/53.15 tff(25276,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB52) | (~v245(constB52)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB52) | (~v245(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25277,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB52) | (~v245(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25278,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB52) | (~v245(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25277, 25276])).
% 83.55/53.15 tff(25279,plain,
% 83.55/53.15 (~v245(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25278, 4877, 25275])).
% 83.55/53.15 tff(25280,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB52) | v245(constB52) | (~v241(constB52)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB52) | v245(constB52) | (~v241(constB52)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25281,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB52) | v245(constB52) | (~v241(constB52)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25282,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB52) | v245(constB52) | (~v241(constB52))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25281, 25280])).
% 83.55/53.15 tff(25283,plain,
% 83.55/53.15 (v244(constB52) | (~v241(constB52))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25282, 4905, 25279])).
% 83.55/53.15 tff(25284,plain,
% 83.55/53.15 (~v241(constB52)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25283, 25267])).
% 83.55/53.15 tff(25285,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB52, constB53)) | v241(constB52) | (~v243(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB52, constB53)) | v241(constB52) | (~v243(constB53)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25286,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB52, constB53)) | v241(constB52) | (~v243(constB53)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25287,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB52, constB53)) | v241(constB52) | (~v243(constB53))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 83.55/53.15 tff(25288,plain,
% 83.55/53.15 (v241(constB52) | (~v243(constB53))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25287, 4920, 8297])).
% 83.55/53.15 tff(25289,plain,
% 83.55/53.15 (~v243(constB53)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25288, 25284])).
% 83.55/53.15 tff(25290,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB53) | (~v260(constB53)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB53) | (~v260(constB53)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25291,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB53) | (~v260(constB53)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25292,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB53) | (~v260(constB53))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 83.55/53.15 tff(25293,plain,
% 83.55/53.15 (~v260(constB53)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25292, 5136, 25289])).
% 83.55/53.15 tff(25294,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB53)) | (~v259(constB53)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB53)) | (~v259(constB53)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25295,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB53)) | (~v259(constB53)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25296,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB53)) | (~v259(constB53))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 83.55/53.15 tff(25297,plain,
% 83.55/53.15 (~v259(constB53)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25296, 5122, 24577])).
% 83.55/53.15 tff(25298,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB53) | v260(constB53) | (~v256(constB53)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB53) | v260(constB53) | (~v256(constB53)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25299,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB53) | v260(constB53) | (~v256(constB53)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25300,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB53) | v260(constB53) | (~v256(constB53))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 83.55/53.15 tff(25301,plain,
% 83.55/53.15 (v260(constB53) | (~v256(constB53))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25300, 5150, 25297])).
% 83.55/53.15 tff(25302,plain,
% 83.55/53.15 (~v256(constB53)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25301, 25293])).
% 83.55/53.15 tff(25303,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB53, constB54)) | v256(constB53) | (~v258(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB53, constB54)) | v256(constB53) | (~v258(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25304,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB53, constB54)) | v256(constB53) | (~v258(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25305,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB53, constB54)) | v256(constB53) | (~v258(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25304, 25303])).
% 83.55/53.15 tff(25306,plain,
% 83.55/53.15 (v256(constB53) | (~v258(constB54))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25305, 5165, 8438])).
% 83.55/53.15 tff(25307,plain,
% 83.55/53.15 (~v258(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25306, 25302])).
% 83.55/53.15 tff(25308,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB54) | (~v259(constB54)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB54) | (~v259(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25309,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB54) | (~v259(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25310,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB54) | (~v259(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25309, 25308])).
% 83.55/53.15 tff(25311,plain,
% 83.55/53.15 (~v259(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25310, 5180, 25307])).
% 83.55/53.15 tff(25312,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB54) | (~v262(constB54)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB54) | (~v262(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25313,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB54) | (~v262(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25314,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB54) | (~v262(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25313, 25312])).
% 83.55/53.15 tff(25315,plain,
% 83.55/53.15 (~v262(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25314, 3915, 24599])).
% 83.55/53.15 tff(25316,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB54) | (~v261(constB54)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB54) | (~v261(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25317,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB54) | (~v261(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25318,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB54) | (~v261(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 83.55/53.15 tff(25319,plain,
% 83.55/53.15 (~v261(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25318, 3829, 25315])).
% 83.55/53.15 tff(25320,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB54) | (~v260(constB54)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB54) | (~v260(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25321,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB54) | (~v260(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25322,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB54) | (~v260(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25321, 25320])).
% 83.55/53.15 tff(25323,plain,
% 83.55/53.15 (~v260(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25322, 5194, 25319])).
% 83.55/53.15 tff(25324,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB54) | v260(constB54) | (~v256(constB54)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB54) | v260(constB54) | (~v256(constB54)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25325,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB54) | v260(constB54) | (~v256(constB54)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25326,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB54) | v260(constB54) | (~v256(constB54))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 83.55/53.15 tff(25327,plain,
% 83.55/53.15 (v259(constB54) | (~v256(constB54))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25326, 5150, 25323])).
% 83.55/53.15 tff(25328,plain,
% 83.55/53.15 (~v256(constB54)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25327, 25311])).
% 83.55/53.15 tff(25329,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB54, constB55)) | v256(constB54) | (~v258(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB54, constB55)) | v256(constB54) | (~v258(constB55)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25330,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB54, constB55)) | v256(constB54) | (~v258(constB55)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25331,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB54, constB55)) | v256(constB54) | (~v258(constB55))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25330, 25329])).
% 83.55/53.15 tff(25332,plain,
% 83.55/53.15 (v256(constB54) | (~v258(constB55))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25331, 5165, 8500])).
% 83.55/53.15 tff(25333,plain,
% 83.55/53.15 (~v258(constB55)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25332, 25328])).
% 83.55/53.15 tff(25334,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB55) | (~v271(constB55)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB55) | (~v271(constB55)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25335,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB55) | (~v271(constB55)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25336,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB55) | (~v271(constB55))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25335, 25334])).
% 83.55/53.15 tff(25337,plain,
% 83.55/53.15 (~v271(constB55)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25336, 23584, 25333])).
% 83.55/53.15 tff(25338,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB55)) | (~v270(constB55)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB55)) | (~v270(constB55)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25339,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB55)) | (~v270(constB55)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25340,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB55)) | (~v270(constB55))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25339, 25338])).
% 83.55/53.15 tff(25341,plain,
% 83.55/53.15 (~v270(constB55)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25340, 3694, 24388])).
% 83.55/53.15 tff(25342,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB55) | v271(constB55) | (~v267(constB55)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB55) | v271(constB55) | (~v267(constB55)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25343,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB55) | v271(constB55) | (~v267(constB55)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25344,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB55) | v271(constB55) | (~v267(constB55))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 83.55/53.15 tff(25345,plain,
% 83.55/53.15 (v271(constB55) | (~v267(constB55))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25344, 3857, 25341])).
% 83.55/53.15 tff(25346,plain,
% 83.55/53.15 (~v267(constB55)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25345, 25337])).
% 83.55/53.15 tff(25347,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB55, constB56)) | v267(constB55) | (~v269(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB55, constB56)) | v267(constB55) | (~v269(constB56)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25348,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB55, constB56)) | v267(constB55) | (~v269(constB56)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25349,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB55, constB56)) | v267(constB55) | (~v269(constB56))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25348, 25347])).
% 83.55/53.15 tff(25350,plain,
% 83.55/53.15 (v267(constB55) | (~v269(constB56))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25349, 3872, 8634])).
% 83.55/53.15 tff(25351,plain,
% 83.55/53.15 (~v269(constB56)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25350, 25346])).
% 83.55/53.15 tff(25352,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB56) | (~v270(constB56)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB56) | (~v270(constB56)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25353,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB56) | (~v270(constB56)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25354,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB56) | (~v270(constB56))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25353, 25352])).
% 83.55/53.15 tff(25355,plain,
% 83.55/53.15 (~v270(constB56)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25354, 3887, 25351])).
% 83.55/53.15 tff(25356,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB56) | (~v271(constB56)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB56) | (~v271(constB56)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25357,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB56) | (~v271(constB56)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25358,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB56) | (~v271(constB56))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25357, 25356])).
% 83.55/53.15 tff(25359,plain,
% 83.55/53.15 (~v271(constB56)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25358, 3843, 25003])).
% 83.55/53.15 tff(25360,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB56) | v271(constB56) | (~v267(constB56)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB56) | v271(constB56) | (~v267(constB56)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25361,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB56) | v271(constB56) | (~v267(constB56)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25362,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB56) | v271(constB56) | (~v267(constB56))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25361, 25360])).
% 83.55/53.15 tff(25363,plain,
% 83.55/53.15 (v270(constB56) | (~v267(constB56))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25362, 3857, 25359])).
% 83.55/53.15 tff(25364,plain,
% 83.55/53.15 (~v267(constB56)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25363, 25355])).
% 83.55/53.15 tff(25365,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB56, constB57)) | v267(constB56) | (~v269(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB56, constB57)) | v267(constB56) | (~v269(constB57)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25366,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB56, constB57)) | v267(constB56) | (~v269(constB57)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25367,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB56, constB57)) | v267(constB56) | (~v269(constB57))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25366, 25365])).
% 83.55/53.15 tff(25368,plain,
% 83.55/53.15 (v267(constB56) | (~v269(constB57))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25367, 3872, 8696])).
% 83.55/53.15 tff(25369,plain,
% 83.55/53.15 (~v269(constB57)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25368, 25364])).
% 83.55/53.15 tff(25370,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB57) | (~v282(constB57)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB57) | (~v282(constB57)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25371,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB57) | (~v282(constB57)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25372,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB57) | (~v282(constB57))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25371, 25370])).
% 83.55/53.15 tff(25373,plain,
% 83.55/53.15 (~v282(constB57)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25372, 23952, 25369])).
% 83.55/53.15 tff(25374,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB57)) | (~v281(constB57)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB57)) | (~v281(constB57)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25375,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB57)) | (~v281(constB57)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25376,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB57)) | (~v281(constB57))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25375, 25374])).
% 83.55/53.15 tff(25377,plain,
% 83.55/53.15 (~v281(constB57)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25376, 23966, 24245])).
% 83.55/53.15 tff(25378,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB57) | v282(constB57) | (~v278(constB57)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB57) | v282(constB57) | (~v278(constB57)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25379,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB57) | v282(constB57) | (~v278(constB57)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25380,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB57) | v282(constB57) | (~v278(constB57))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25379, 25378])).
% 83.55/53.15 tff(25381,plain,
% 83.55/53.15 (v282(constB57) | (~v278(constB57))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25380, 23980, 25377])).
% 83.55/53.15 tff(25382,plain,
% 83.55/53.15 (~v278(constB57)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25381, 25373])).
% 83.55/53.15 tff(25383,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB57, constB58)) | v278(constB57) | (~v280(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB57, constB58)) | v278(constB57) | (~v280(constB58)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25384,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB57, constB58)) | v278(constB57) | (~v280(constB58)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25385,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB57, constB58)) | v278(constB57) | (~v280(constB58))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25384, 25383])).
% 83.55/53.15 tff(25386,plain,
% 83.55/53.15 (v278(constB57) | (~v280(constB58))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25385, 23995, 8826])).
% 83.55/53.15 tff(25387,plain,
% 83.55/53.15 (~v280(constB58)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25386, 25382])).
% 83.55/53.15 tff(25388,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB58) | (~v281(constB58)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB58) | (~v281(constB58)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25389,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB58) | (~v281(constB58)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25390,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB58) | (~v281(constB58))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 83.55/53.15 tff(25391,plain,
% 83.55/53.15 (~v281(constB58)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25390, 24010, 25387])).
% 83.55/53.15 tff(25392,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB58) | (~v282(constB58)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB58) | (~v282(constB58)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25393,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB58) | (~v282(constB58)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25394,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB58) | (~v282(constB58))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 83.55/53.15 tff(25395,plain,
% 83.55/53.15 (~v282(constB58)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25394, 24024, 24458])).
% 83.55/53.15 tff(25396,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB58) | v282(constB58) | (~v278(constB58)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB58) | v282(constB58) | (~v278(constB58)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25397,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB58) | v282(constB58) | (~v278(constB58)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25398,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB58) | v282(constB58) | (~v278(constB58))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 83.55/53.15 tff(25399,plain,
% 83.55/53.15 (v281(constB58) | (~v278(constB58))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25398, 23980, 25395])).
% 83.55/53.15 tff(25400,plain,
% 83.55/53.15 (~v278(constB58)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25399, 25391])).
% 83.55/53.15 tff(25401,plain,
% 83.55/53.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB58, constB59)) | v278(constB58) | (~v280(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB58, constB59)) | v278(constB58) | (~v280(constB59)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25402,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB58, constB59)) | v278(constB58) | (~v280(constB59)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25403,plain,
% 83.55/53.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB58, constB59)) | v278(constB58) | (~v280(constB59))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25402, 25401])).
% 83.55/53.15 tff(25404,plain,
% 83.55/53.15 (v278(constB58) | (~v280(constB59))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25403, 23995, 8888])).
% 83.55/53.15 tff(25405,plain,
% 83.55/53.15 (~v280(constB59)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25404, 25400])).
% 83.55/53.15 tff(25406,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB59) | (~v309(constB59)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB59) | (~v309(constB59)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25407,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB59) | (~v309(constB59)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25408,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB59) | (~v309(constB59))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25407, 25406])).
% 83.55/53.15 tff(25409,plain,
% 83.55/53.15 (~v309(constB59)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25408, 24048, 25405])).
% 83.55/53.15 tff(25410,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v288(constB59) | v309(constB59) | (~v289(constB59)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB59) | v309(constB59) | (~v289(constB59)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25411,plain,
% 83.55/53.15 ((v309(constB59) | v288(constB59) | (~v289(constB59))) <=> (v288(constB59) | v309(constB59) | (~v289(constB59)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25412,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB59) | v288(constB59) | (~v289(constB59)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v288(constB59) | v309(constB59) | (~v289(constB59))))),
% 83.55/53.15 inference(monotonicity,[status(thm)],[25411])).
% 83.55/53.15 tff(25413,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB59) | v288(constB59) | (~v289(constB59)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB59) | v309(constB59) | (~v289(constB59)))),
% 83.55/53.15 inference(transitivity,[status(thm)],[25412, 25410])).
% 83.55/53.15 tff(25414,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB59) | v288(constB59) | (~v289(constB59)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25415,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB59) | v309(constB59) | (~v289(constB59))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 83.55/53.15 tff(25416,plain,
% 83.55/53.15 (v288(constB59) | (~v289(constB59))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25415, 5107, 25409])).
% 83.55/53.15 tff(25417,plain,
% 83.55/53.15 (v288(constB59)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25416, 25070])).
% 83.55/53.15 tff(25418,plain,
% 83.55/53.15 ($false),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25417, 24154])).
% 83.55/53.15 tff(25419,plain,((~(constB59 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.15 tff(25420,plain,
% 83.55/53.15 (~(constB59 = sK_VarCurr)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25419, 5240])).
% 83.55/53.15 tff(25421,assumption,(constB38 = sK_VarCurr), introduced(assumption)).
% 83.55/53.15 tff(25422,plain,
% 83.55/53.15 (v288(constB38) <=> v288(sK_VarCurr)),
% 83.55/53.15 inference(monotonicity,[status(thm)],[25421])).
% 83.55/53.15 tff(25423,plain,
% 83.55/53.15 (v288(sK_VarCurr) <=> v288(constB38)),
% 83.55/53.15 inference(symmetry,[status(thm)],[25422])).
% 83.55/53.15 tff(25424,plain,
% 83.55/53.15 ((~v288(sK_VarCurr)) <=> (~v288(constB38))),
% 83.55/53.15 inference(monotonicity,[status(thm)],[25423])).
% 83.55/53.15 tff(25425,plain,
% 83.55/53.15 (~v288(constB38)),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[5240, 25424])).
% 83.55/53.15 tff(25426,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25427,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB38)) | (~v184(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25428,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB38)) | (~v184(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25427, 25426])).
% 83.55/53.15 tff(25429,plain,
% 83.55/53.15 (~v184(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25428, 3901, 6650])).
% 83.55/53.15 tff(25430,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB38) | (~v295(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB38) | (~v295(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25431,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB38) | (~v295(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25432,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB38) | (~v295(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25431, 25430])).
% 83.55/53.15 tff(25433,plain,
% 83.55/53.15 (~v295(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25432, 22562, 25429])).
% 83.55/53.15 tff(25434,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB38) | (~v294(constB38)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB38) | (~v294(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25435,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB38) | (~v294(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25436,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB38) | (~v294(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25435, 25434])).
% 83.55/53.15 tff(25437,plain,
% 83.55/53.15 (~v294(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25436, 15964, 25433])).
% 83.55/53.15 tff(25438,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB38) | (~v293(constB38)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB38) | (~v293(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25439,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB38) | (~v293(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25440,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB38) | (~v293(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25439, 25438])).
% 83.55/53.15 tff(25441,plain,
% 83.55/53.15 (~v293(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25440, 15978, 25437])).
% 83.55/53.15 tff(25442,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB38) | (~v299(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB38) | (~v299(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25443,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB38) | (~v299(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25444,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB38) | (~v299(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25443, 25442])).
% 83.55/53.15 tff(25445,plain,
% 83.55/53.15 (~v299(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25444, 22584, 25429])).
% 83.55/53.15 tff(25446,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB38) | (~v298(constB38)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB38) | (~v298(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25447,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB38) | (~v298(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25448,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB38) | (~v298(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25447, 25446])).
% 83.55/53.15 tff(25449,plain,
% 83.55/53.15 (~v298(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25448, 19336, 25445])).
% 83.55/53.15 tff(25450,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB38) | (~v297(constB38)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB38) | (~v297(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25451,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB38) | (~v297(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25452,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB38) | (~v297(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25451, 25450])).
% 83.55/53.15 tff(25453,plain,
% 83.55/53.15 (~v297(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25452, 19350, 25449])).
% 83.55/53.15 tff(25454,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB38) | v297(constB38) | (~v292(constB38)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB38) | v297(constB38) | (~v292(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25455,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB38) | v297(constB38) | (~v292(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25456,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB38) | v297(constB38) | (~v292(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25455, 25454])).
% 83.55/53.15 tff(25457,plain,
% 83.55/53.15 (~v292(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25456, 4781, 25453, 25441])).
% 83.55/53.15 tff(25458,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB38) | (~v304(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB38) | (~v304(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25459,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB38) | (~v304(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25460,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB38) | (~v304(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25459, 25458])).
% 83.55/53.15 tff(25461,plain,
% 83.55/53.15 (~v304(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25460, 22610, 25429])).
% 83.55/53.15 tff(25462,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB38) | (~v303(constB38)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB38) | (~v303(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25463,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB38) | (~v303(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25464,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB38) | (~v303(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25463, 25462])).
% 83.55/53.15 tff(25465,plain,
% 83.55/53.15 (~v303(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25464, 21948, 25461])).
% 83.55/53.15 tff(25466,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB38) | (~v302(constB38)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB38) | (~v302(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25467,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB38) | (~v302(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25468,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB38) | (~v302(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 83.55/53.15 tff(25469,plain,
% 83.55/53.15 (~v302(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25468, 21962, 25465])).
% 83.55/53.15 tff(25470,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB38) | v292(constB38) | v290(constB38))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB38) | v292(constB38) | v290(constB38))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25471,plain,
% 83.55/53.15 ((v292(constB38) | v302(constB38) | v290(constB38)) <=> (v302(constB38) | v292(constB38) | v290(constB38))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25472,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB38) | v302(constB38) | v290(constB38))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB38) | v292(constB38) | v290(constB38)))),
% 83.55/53.15 inference(monotonicity,[status(thm)],[25471])).
% 83.55/53.15 tff(25473,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB38) | v302(constB38) | v290(constB38))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB38) | v292(constB38) | v290(constB38))),
% 83.55/53.15 inference(transitivity,[status(thm)],[25472, 25470])).
% 83.55/53.15 tff(25474,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB38) | v302(constB38) | v290(constB38))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25475,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB38) | v292(constB38) | v290(constB38)),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 83.55/53.15 tff(25476,plain,
% 83.55/53.15 (v292(constB38) | v290(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25475, 5074, 25469])).
% 83.55/53.15 tff(25477,plain,
% 83.55/53.15 (v290(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25476, 25457])).
% 83.55/53.15 tff(25478,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB38) | (~v307(constB38)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB38) | (~v307(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25479,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB38) | (~v307(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25480,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB38) | (~v307(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 83.55/53.15 tff(25481,plain,
% 83.55/53.15 (~v307(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25480, 22640, 25437])).
% 83.55/53.15 tff(25482,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB38) | v289(constB38) | (~v290(constB38)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB38) | v289(constB38) | (~v290(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25483,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB38) | v289(constB38) | (~v290(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25484,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB38) | v289(constB38) | (~v290(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 83.55/53.15 tff(25485,plain,
% 83.55/53.15 (v289(constB38) | (~v290(constB38))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25484, 5092, 25481])).
% 83.55/53.15 tff(25486,plain,
% 83.55/53.15 (v289(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25485, 25477])).
% 83.55/53.15 tff(25487,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB38) | (~v311(constB38)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB38) | (~v311(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25488,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB38) | (~v311(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25489,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB38) | (~v311(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25488, 25487])).
% 83.55/53.15 tff(25490,plain,
% 83.55/53.15 (~v311(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25489, 22659, 25429])).
% 83.55/53.15 tff(25491,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB38) | (~v310(constB38)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB38) | (~v310(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25492,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB38) | (~v310(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25493,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB38) | (~v310(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 83.55/53.15 tff(25494,plain,
% 83.55/53.15 (~v310(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25493, 3574, 25490])).
% 83.55/53.15 tff(25495,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB38) | (~v309(constB38)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB38) | (~v309(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25496,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB38) | (~v309(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25497,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB38) | (~v309(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25496, 25495])).
% 83.55/53.15 tff(25498,plain,
% 83.55/53.15 (~v309(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25497, 3588, 25494])).
% 83.55/53.15 tff(25499,plain,
% 83.55/53.15 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB38) | v288(constB38) | (~v289(constB38)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB38) | v288(constB38) | (~v289(constB38)))),
% 83.55/53.15 inference(rewrite,[status(thm)],[])).
% 83.55/53.15 tff(25500,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB38) | v288(constB38) | (~v289(constB38)))),
% 83.55/53.15 inference(quant_inst,[status(thm)],[])).
% 83.55/53.15 tff(25501,plain,
% 83.55/53.15 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB38) | v288(constB38) | (~v289(constB38))),
% 83.55/53.15 inference(modus_ponens,[status(thm)],[25500, 25499])).
% 83.55/53.15 tff(25502,plain,
% 83.55/53.15 (v288(constB38) | (~v289(constB38))),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25501, 5107, 25498])).
% 83.55/53.15 tff(25503,plain,
% 83.55/53.15 (v288(constB38)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25502, 25486])).
% 83.55/53.15 tff(25504,plain,
% 83.55/53.15 ($false),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25503, 25425])).
% 83.55/53.15 tff(25505,plain,((~(constB38 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.15 tff(25506,plain,
% 83.55/53.15 (~(constB38 = sK_VarCurr)),
% 83.55/53.15 inference(unit_resolution,[status(thm)],[25505, 5240])).
% 83.55/53.15 tff(25507,assumption,(constB169 = sK_VarCurr), introduced(assumption)).
% 83.55/53.16 tff(25508,plain,
% 83.55/53.16 (v288(constB169) <=> v288(sK_VarCurr)),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25507])).
% 83.55/53.16 tff(25509,plain,
% 83.55/53.16 (v288(sK_VarCurr) <=> v288(constB169)),
% 83.55/53.16 inference(symmetry,[status(thm)],[25508])).
% 83.55/53.16 tff(25510,plain,
% 83.55/53.16 ((~v288(sK_VarCurr)) <=> (~v288(constB169))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25509])).
% 83.55/53.16 tff(25511,plain,
% 83.55/53.16 (~v288(constB169)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[5240, 25510])).
% 83.55/53.16 tff(25512,assumption,(~v90(constB149, 2)), introduced(assumption)).
% 83.55/53.16 tff(25513,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25514,plain,
% 83.55/53.16 (((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2)) <=> ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25515,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25514])).
% 83.55/53.16 tff(25516,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25515, 25513])).
% 83.55/53.16 tff(25517,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25518,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 83.55/53.16 tff(25519,plain,
% 83.55/53.16 ((~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25518, 1374, 20938])).
% 83.55/53.16 tff(25520,plain,
% 83.55/53.16 ((~v90(constB148, 2)) | v90(constB149, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25519, 20950])).
% 83.55/53.16 tff(25521,plain,
% 83.55/53.16 (~v90(constB148, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25520, 25512])).
% 83.55/53.16 tff(25522,assumption,(~v90(constB149, 0)), introduced(assumption)).
% 83.55/53.16 tff(25523,assumption,(~v121(constB149)), introduced(assumption)).
% 83.55/53.16 tff(25524,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25525,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25526,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 83.55/53.16 tff(25527,plain,
% 83.55/53.16 (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25526, 956, 25523])).
% 83.55/53.16 tff(25528,plain,
% 83.55/53.16 (~v90(constB149, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25527, 25512, 25522])).
% 83.55/53.16 tff(25529,plain,
% 83.55/53.16 (~v90(constB148, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[21031, 25528])).
% 83.55/53.16 tff(25530,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25531,plain,
% 83.55/53.16 (((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0)) <=> ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25532,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25531])).
% 83.55/53.16 tff(25533,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25532, 25530])).
% 83.55/53.16 tff(25534,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25535,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25534, 25533])).
% 83.55/53.16 tff(25536,plain,
% 83.55/53.16 ((~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25535, 526, 20938])).
% 83.55/53.16 tff(25537,plain,
% 83.55/53.16 ((~v90(constB148, 0)) | v90(constB149, 0)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25536, 20950])).
% 83.55/53.16 tff(25538,plain,
% 83.55/53.16 (~v90(constB148, 0)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25537, 25522])).
% 83.55/53.16 tff(25539,assumption,(~v90(constB148, 1)), introduced(assumption)).
% 83.55/53.16 tff(25540,assumption,(~v90(constB148, 0)), introduced(assumption)).
% 83.55/53.16 tff(25541,assumption,(~v90(constB146, 2)), introduced(assumption)).
% 83.55/53.16 tff(25542,assumption,(~v90(constB146, 1)), introduced(assumption)).
% 83.55/53.16 tff(25543,plain,
% 83.55/53.16 (~v90(constB147, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[20782, 25542])).
% 83.55/53.16 tff(25544,assumption,(~v90(constB146, 0)), introduced(assumption)).
% 83.55/53.16 tff(25545,assumption,(~v108(constB145)), introduced(assumption)).
% 83.55/53.16 tff(25546,plain,
% 83.55/53.16 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 83.55/53.16 inference(bind,[status(th)],[])).
% 83.55/53.16 tff(25547,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(quant_intro,[status(thm)],[25546])).
% 83.55/53.16 tff(25548,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25549,plain,
% 83.55/53.16 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 83.55/53.16 inference(bind,[status(th)],[])).
% 83.55/53.16 tff(25550,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(quant_intro,[status(thm)],[25549])).
% 83.55/53.16 tff(25551,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 83.55/53.16 tff(25552,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 83.55/53.16 tff(25553,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25552, 25548])).
% 83.55/53.16 tff(25554,plain,(
% 83.55/53.16 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(skolemize,[status(sab)],[25553])).
% 83.55/53.16 tff(25555,plain,
% 83.55/53.16 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25554, 25547])).
% 83.55/53.16 tff(25556,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25557,plain,
% 83.55/53.16 (((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146))) <=> ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25558,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25557])).
% 83.55/53.16 tff(25559,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25558, 25556])).
% 83.55/53.16 tff(25560,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB145, constB146)) | v108(constB145) | (~v110(constB146)))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25561,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB145, constB146)) | (~v110(constB146)) | v108(constB145)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25560, 25559])).
% 83.55/53.16 tff(25562,plain,
% 83.55/53.16 ((~v110(constB146)) | v108(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25561, 25555, 20642])).
% 83.55/53.16 tff(25563,plain,
% 83.55/53.16 (~v110(constB146)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25562, 25545])).
% 83.55/53.16 tff(25564,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25565,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146)))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25566,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v100(constB146))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25565, 25564])).
% 83.55/53.16 tff(25567,plain,
% 83.55/53.16 (v110(constB146) | (~v100(constB146))),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25566, 10788, 20642])).
% 83.55/53.16 tff(25568,plain,
% 83.55/53.16 (~v100(constB146)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25567, 25563])).
% 83.55/53.16 tff(25569,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25570,plain,
% 83.55/53.16 (((~nextState(constB145, constB146)) | (~v90(constB145, 2)) | v100(constB146) | v90(constB146, 2)) <=> ((~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25571,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 2)) | v100(constB146) | v90(constB146, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25570])).
% 83.55/53.16 tff(25572,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 2)) | v100(constB146) | v90(constB146, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25571, 25569])).
% 83.55/53.16 tff(25573,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 2)) | v100(constB146) | v90(constB146, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25574,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB145, 2)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 2)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25573, 25572])).
% 83.55/53.16 tff(25575,plain,
% 83.55/53.16 ((~v90(constB145, 2)) | v100(constB146) | v90(constB146, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25574, 1374, 20642])).
% 83.55/53.16 tff(25576,plain,
% 83.55/53.16 (~v90(constB145, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25575, 25568, 25541])).
% 83.55/53.16 tff(25577,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25578,plain,
% 83.55/53.16 (((~nextState(constB145, constB146)) | (~v90(constB145, 1)) | v100(constB146) | v90(constB146, 1)) <=> ((~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25579,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 1)) | v100(constB146) | v90(constB146, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25578])).
% 83.55/53.16 tff(25580,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 1)) | v100(constB146) | v90(constB146, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25579, 25577])).
% 83.55/53.16 tff(25581,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 1)) | v100(constB146) | v90(constB146, 1))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25582,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB145, 1)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 1)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25581, 25580])).
% 83.55/53.16 tff(25583,plain,
% 83.55/53.16 ((~v90(constB145, 1)) | v100(constB146) | v90(constB146, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25582, 866, 20642])).
% 83.55/53.16 tff(25584,plain,
% 83.55/53.16 (~v90(constB145, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25583, 25568, 25542])).
% 83.55/53.16 tff(25585,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25586,plain,
% 83.55/53.16 (((~nextState(constB145, constB146)) | (~v90(constB145, 0)) | v100(constB146) | v90(constB146, 0)) <=> ((~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25587,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 0)) | v100(constB146) | v90(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25586])).
% 83.55/53.16 tff(25588,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 0)) | v100(constB146) | v90(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25587, 25585])).
% 83.55/53.16 tff(25589,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v90(constB145, 0)) | v100(constB146) | v90(constB146, 0))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25590,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB145, 0)) | (~nextState(constB145, constB146)) | v100(constB146) | v90(constB146, 0)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25589, 25588])).
% 83.55/53.16 tff(25591,plain,
% 83.55/53.16 ((~v90(constB145, 0)) | v100(constB146) | v90(constB146, 0)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25590, 526, 20642])).
% 83.55/53.16 tff(25592,plain,
% 83.55/53.16 (~v90(constB145, 0)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25591, 25568, 25544])).
% 83.55/53.16 tff(25593,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25594,plain,
% 83.55/53.16 ((v90(constB145, 0) | v119(constB145) | v90(constB145, 1) | v90(constB145, 2)) <=> (v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25595,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB145, 0) | v119(constB145) | v90(constB145, 1) | v90(constB145, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145)))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25594])).
% 83.55/53.16 tff(25596,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB145, 0) | v119(constB145) | v90(constB145, 1) | v90(constB145, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25595, 25593])).
% 83.55/53.16 tff(25597,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB145, 0) | v119(constB145) | v90(constB145, 1) | v90(constB145, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25598,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB145, 0) | v90(constB145, 1) | v90(constB145, 2) | v119(constB145)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 83.55/53.16 tff(25599,plain,
% 83.55/53.16 (v119(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25598, 161, 25592, 25584, 25576])).
% 83.55/53.16 tff(25600,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25601,plain,
% 83.55/53.16 (((~v119(constB145)) | v118(constB145)) <=> (v118(constB145) | (~v119(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25602,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB145) | (~v119(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25601])).
% 83.55/53.16 tff(25603,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25602, 25600])).
% 83.55/53.16 tff(25604,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB145)) | v118(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25605,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB145) | (~v119(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 83.55/53.16 tff(25606,plain,
% 83.55/53.16 (v118(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25605, 175, 25599])).
% 83.55/53.16 tff(25607,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25608,plain,
% 83.55/53.16 (((~v118(constB145)) | v117(constB145)) <=> (v117(constB145) | (~v118(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25609,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB145) | (~v118(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25608])).
% 83.55/53.16 tff(25610,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25609, 25607])).
% 83.55/53.16 tff(25611,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB145)) | v117(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25612,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB145) | (~v118(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 83.55/53.16 tff(25613,plain,
% 83.55/53.16 (v117(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25612, 186, 25606])).
% 83.55/53.16 tff(25614,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25615,plain,
% 83.55/53.16 (((~v117(constB145)) | v116(constB145)) <=> (v116(constB145) | (~v117(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25616,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB145) | (~v117(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25615])).
% 83.55/53.16 tff(25617,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25616, 25614])).
% 83.55/53.16 tff(25618,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB145)) | v116(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25619,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB145) | (~v117(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25618, 25617])).
% 83.55/53.16 tff(25620,plain,
% 83.55/53.16 (v116(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25619, 200, 25613])).
% 83.55/53.16 tff(25621,plain,
% 83.55/53.16 (~v112(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[20638, 268, 25545])).
% 83.55/53.16 tff(25622,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v26(constB145)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25623,plain,
% 83.55/53.16 (((~v26(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v26(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25624,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v26(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25623])).
% 83.55/53.16 tff(25625,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25624, 25622])).
% 83.55/53.16 tff(25626,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB145)) | v108(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25627,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v26(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 83.55/53.16 tff(25628,plain,
% 83.55/53.16 (~v26(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25627, 685, 25545])).
% 83.55/53.16 tff(25629,plain,
% 83.55/53.16 (~v113(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[20630, 256, 25628, 25621])).
% 83.55/53.16 tff(25630,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25631,plain,
% 83.55/53.16 (((~v114(constB145)) | v113(constB145)) <=> (v113(constB145) | (~v114(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25632,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25631])).
% 83.55/53.16 tff(25633,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25632, 25630])).
% 83.55/53.16 tff(25634,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25635,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 83.55/53.16 tff(25636,plain,
% 83.55/53.16 (~v114(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25635, 242, 25629])).
% 83.55/53.16 tff(25637,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25638,plain,
% 83.55/53.16 (((~v115(constB145)) | v114(constB145)) <=> (v114(constB145) | (~v115(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25639,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25638])).
% 83.55/53.16 tff(25640,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25639, 25637])).
% 83.55/53.16 tff(25641,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25642,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 83.55/53.16 tff(25643,plain,
% 83.55/53.16 (~v115(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25642, 228, 25636])).
% 83.55/53.16 tff(25644,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25645,plain,
% 83.55/53.16 (((~v116(constB145)) | v115(constB145)) <=> (v115(constB145) | (~v116(constB145)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25646,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB145) | (~v116(constB145))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25645])).
% 83.55/53.16 tff(25647,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25646, 25644])).
% 83.55/53.16 tff(25648,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB145)) | v115(constB145))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25649,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB145) | (~v116(constB145))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25648, 25647])).
% 83.55/53.16 tff(25650,plain,
% 83.55/53.16 ($false),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25649, 214, 25643, 25620])).
% 83.55/53.16 tff(25651,plain,(v108(constB145) | v90(constB146, 1) | v90(constB146, 0) | v90(constB146, 2)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.16 tff(25652,plain,
% 83.55/53.16 (v108(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25651, 25544, 25542, 25541])).
% 83.55/53.16 tff(25653,plain,
% 83.55/53.16 (v110(constB146)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[20649, 25652])).
% 83.55/53.16 tff(25654,plain,
% 83.55/53.16 (v100(constB146)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[20675, 25653])).
% 83.55/53.16 tff(25655,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25656,plain,
% 83.55/53.16 ((v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2))) <=> (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25657,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25656])).
% 83.55/53.16 tff(25658,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25657, 25655])).
% 83.55/53.16 tff(25659,plain,
% 83.55/53.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25660,plain,
% 83.55/53.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25659, 25658])).
% 83.55/53.16 tff(25661,plain,
% 83.55/53.16 ((~v129(constB146, 2)) | (~v100(constB146))),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25660, 1338, 25541])).
% 83.55/53.16 tff(25662,plain,
% 83.55/53.16 (~v129(constB146, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25661, 25654])).
% 83.55/53.16 tff(25663,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25664,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25665,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 83.55/53.16 tff(25666,plain,
% 83.55/53.16 ((~v127(constB145, 2)) | v129(constB146, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25665, 1230, 20642])).
% 83.55/53.16 tff(25667,plain,
% 83.55/53.16 (~v127(constB145, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25666, 25662])).
% 83.55/53.16 tff(25668,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25669,plain,
% 83.55/53.16 ((v90(constB146, 1) | (~v100(constB146)) | (~v129(constB146, 1))) <=> (v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146)))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25670,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB146, 1) | (~v100(constB146)) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146))))),
% 83.55/53.16 inference(monotonicity,[status(thm)],[25669])).
% 83.55/53.16 tff(25671,plain,
% 83.55/53.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB146, 1) | (~v100(constB146)) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146)))),
% 83.55/53.16 inference(transitivity,[status(thm)],[25670, 25668])).
% 83.55/53.16 tff(25672,plain,
% 83.55/53.16 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB146, 1) | (~v100(constB146)) | (~v129(constB146, 1)))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25673,plain,
% 83.55/53.16 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB146, 1) | (~v129(constB146, 1)) | (~v100(constB146))),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 83.55/53.16 tff(25674,plain,
% 83.55/53.16 ((~v129(constB146, 1)) | (~v100(constB146))),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25673, 848, 25542])).
% 83.55/53.16 tff(25675,plain,
% 83.55/53.16 (~v129(constB146, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25674, 25654])).
% 83.55/53.16 tff(25676,plain,
% 83.55/53.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 1)) | v129(constB146, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB145, constB146)) | (~v127(constB145, 1)) | v129(constB146, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25677,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 1)) | v129(constB146, 1))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25678,plain,
% 83.55/53.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB145, constB146)) | (~v127(constB145, 1)) | v129(constB146, 1)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 83.55/53.16 tff(25679,plain,
% 83.55/53.16 ((~v127(constB145, 1)) | v129(constB146, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25678, 833, 20642])).
% 83.55/53.16 tff(25680,plain,
% 83.55/53.16 (~v127(constB145, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25679, 25675])).
% 83.55/53.16 tff(25681,assumption,(~v26(constB145)), introduced(assumption)).
% 83.55/53.16 tff(25682,assumption,(~v127(constB145, 1)), introduced(assumption)).
% 83.55/53.16 tff(25683,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB145) | (~v130(constB145, 1)) | v127(constB145, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB145) | (~v130(constB145, 1)) | v127(constB145, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25684,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB145) | (~v130(constB145, 1)) | v127(constB145, 1))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25685,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB145) | (~v130(constB145, 1)) | v127(constB145, 1)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25684, 25683])).
% 83.55/53.16 tff(25686,plain,
% 83.55/53.16 (v26(constB145) | (~v130(constB145, 1))),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25685, 818, 25682])).
% 83.55/53.16 tff(25687,plain,
% 83.55/53.16 (~v130(constB145, 1)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25686, 25681])).
% 83.55/53.16 tff(25688,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB145)) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB145)) | v130(constB145, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25689,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB145)) | v130(constB145, 1))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25690,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB145)) | v130(constB145, 1)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25689, 25688])).
% 83.55/53.16 tff(25691,plain,
% 83.55/53.16 (~v120(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25690, 804, 25687])).
% 83.55/53.16 tff(25692,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB145)) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB145)) | v130(constB145, 1))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25693,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB145)) | v130(constB145, 1))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25694,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB145)) | v130(constB145, 1)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25693, 25692])).
% 83.55/53.16 tff(25695,plain,
% 83.55/53.16 (~v121(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25694, 1108, 25687])).
% 83.55/53.16 tff(25696,assumption,(~v127(constB145, 2)), introduced(assumption)).
% 83.55/53.16 tff(25697,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25698,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25699,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25698, 25697])).
% 83.55/53.16 tff(25700,plain,
% 83.55/53.16 (v26(constB145) | (~v130(constB145, 2))),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25699, 1212, 25696])).
% 83.55/53.16 tff(25701,plain,
% 83.55/53.16 (~v130(constB145, 2)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25700, 25681])).
% 83.55/53.16 tff(25702,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB145)) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB145)) | v130(constB145, 2))),
% 83.55/53.16 inference(rewrite,[status(thm)],[])).
% 83.55/53.16 tff(25703,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB145)) | v130(constB145, 2))),
% 83.55/53.16 inference(quant_inst,[status(thm)],[])).
% 83.55/53.16 tff(25704,plain,
% 83.55/53.16 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB145)) | v130(constB145, 2)),
% 83.55/53.16 inference(modus_ponens,[status(thm)],[25703, 25702])).
% 83.55/53.16 tff(25705,plain,
% 83.55/53.16 (~v122(constB145)),
% 83.55/53.16 inference(unit_resolution,[status(thm)],[25704, 1198, 25701])).
% 83.55/53.16 tff(25706,plain,
% 83.55/53.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB145)) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB145)) | v130(constB145, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25707,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB145)) | v130(constB145, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25708,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB145)) | v130(constB145, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25707, 25706])).
% 83.55/53.17 tff(25709,plain,
% 83.55/53.17 (~v123(constB145)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25708, 1567, 25701])).
% 83.55/53.17 tff(25710,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB145)) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB145)) | v130(constB145, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25711,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB145)) | v130(constB145, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25712,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB145)) | v130(constB145, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25711, 25710])).
% 83.55/53.17 tff(25713,plain,
% 83.55/53.17 (~v124(constB145)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25712, 1716, 25701])).
% 83.55/53.17 tff(25714,assumption,(~v127(constB145, 0)), introduced(assumption)).
% 83.55/53.17 tff(25715,plain,
% 83.55/53.17 (v26(constB145) | (~v130(constB145, 0))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20790, 478, 25714])).
% 83.55/53.17 tff(25716,plain,
% 83.55/53.17 (~v130(constB145, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25715, 25681])).
% 83.55/53.17 tff(25717,plain,
% 83.55/53.17 (v119(constB145)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20786, 2180, 25716, 25713, 25709, 25705, 25695, 25691])).
% 83.55/53.17 tff(25718,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB145)) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB145)) | v130(constB145, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25719,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB145)) | v130(constB145, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25720,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB145)) | v130(constB145, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25719, 25718])).
% 83.55/53.17 tff(25721,plain,
% 83.55/53.17 ($false),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25720, 464, 25716, 25717])).
% 83.55/53.17 tff(25722,plain,(v26(constB145) | v127(constB145, 0) | v127(constB145, 1) | v127(constB145, 2)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.17 tff(25723,plain,
% 83.55/53.17 (v127(constB145, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25722, 25680, 20624, 25667])).
% 83.55/53.17 tff(25724,plain,
% 83.55/53.17 (v129(constB146, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20796, 25723])).
% 83.55/53.17 tff(25725,plain,
% 83.55/53.17 ($false),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20803, 508, 25654, 25544, 25724])).
% 83.55/53.17 tff(25726,plain,(v90(constB146, 0) | v90(constB146, 1) | v90(constB146, 2)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.17 tff(25727,plain,
% 83.55/53.17 (v90(constB146, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25726, 25542, 25541])).
% 83.55/53.17 tff(25728,plain,
% 83.55/53.17 (v90(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20813, 25727])).
% 83.55/53.17 tff(25729,plain,
% 83.55/53.17 (~v90(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20748, 25541])).
% 83.55/53.17 tff(25730,plain,
% 83.55/53.17 ((~v90(constB147, 0)) | v90(constB147, 1) | v120(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[20817, 614, 25729])).
% 83.55/53.17 tff(25731,plain,
% 83.55/53.17 (v120(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25730, 25728, 25543])).
% 83.55/53.17 tff(25732,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25733,plain,
% 83.55/53.17 (((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0)) <=> ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25734,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0)))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25733])).
% 83.55/53.17 tff(25735,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25734, 25732])).
% 83.55/53.17 tff(25736,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25737,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25736, 25735])).
% 83.55/53.17 tff(25738,plain,
% 83.55/53.17 ((~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25737, 526, 20876])).
% 83.55/53.17 tff(25739,plain,
% 83.55/53.17 (v100(constB148)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25738, 25728, 25540])).
% 83.55/53.17 tff(25740,plain,
% 83.55/53.17 ((~v129(constB148, 1)) | (~v100(constB148))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[21021, 848, 25539])).
% 83.55/53.17 tff(25741,plain,
% 83.55/53.17 (~v129(constB148, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25740, 25739])).
% 83.55/53.17 tff(25742,plain,
% 83.55/53.17 (~v127(constB147, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[21014, 25741])).
% 83.55/53.17 tff(25743,plain,
% 83.55/53.17 (~v130(constB147, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[21009, 25742])).
% 83.55/53.17 tff(25744,plain,
% 83.55/53.17 ($false),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[21004, 804, 25743, 25731])).
% 83.55/53.17 tff(25745,plain,(v90(constB146, 1) | v90(constB148, 1) | v90(constB148, 0) | v90(constB146, 2)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.17 tff(25746,plain,
% 83.55/53.17 (v90(constB146, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25745, 25541, 25540, 25539])).
% 83.55/53.17 tff(25747,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25748,plain,
% 83.55/53.17 (((~nextState(constB146, constB147)) | (~v90(constB146, 1)) | v100(constB147) | v90(constB147, 1)) <=> ((~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25749,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 1)) | v100(constB147) | v90(constB147, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1)))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25748])).
% 83.55/53.17 tff(25750,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 1)) | v100(constB147) | v90(constB147, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25749, 25747])).
% 83.55/53.17 tff(25751,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 1)) | v100(constB147) | v90(constB147, 1))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25752,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB146, 1)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 1)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 83.55/53.17 tff(25753,plain,
% 83.55/53.17 ((~v90(constB146, 1)) | v100(constB147) | v90(constB147, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25752, 866, 20728])).
% 83.55/53.17 tff(25754,plain,
% 83.55/53.17 ((~v90(constB146, 1)) | v90(constB147, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25753, 20740])).
% 83.55/53.17 tff(25755,plain,
% 83.55/53.17 (v90(constB147, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25754, 25746])).
% 83.55/53.17 tff(25756,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB147)) | (~v90(constB147, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB147)) | (~v90(constB147, 1)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25757,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB147)) | (~v90(constB147, 1)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25758,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB147)) | (~v90(constB147, 1))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25757, 25756])).
% 83.55/53.17 tff(25759,plain,
% 83.55/53.17 (~v119(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25758, 2028, 25755])).
% 83.55/53.17 tff(25760,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB147)) | (~v90(constB147, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB147)) | (~v90(constB147, 1)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25761,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB147)) | (~v90(constB147, 1)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25762,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB147)) | (~v90(constB147, 1))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 83.55/53.17 tff(25763,plain,
% 83.55/53.17 (~v120(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25762, 2039, 25755])).
% 83.55/53.17 tff(25764,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25765,plain,
% 83.55/53.17 (((~nextState(constB147, constB148)) | (~v90(constB147, 1)) | v100(constB148) | v90(constB148, 1)) <=> ((~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25766,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 1)) | v100(constB148) | v90(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1)))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25765])).
% 83.55/53.17 tff(25767,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 1)) | v100(constB148) | v90(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25766, 25764])).
% 83.55/53.17 tff(25768,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 1)) | v100(constB148) | v90(constB148, 1))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25769,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB147, 1)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 1)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 83.55/53.17 tff(25770,plain,
% 83.55/53.17 ((~v90(constB147, 1)) | v100(constB148) | v90(constB148, 1)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25769, 866, 20876])).
% 83.55/53.17 tff(25771,plain,
% 83.55/53.17 (v100(constB148)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25770, 25755, 25539])).
% 83.55/53.17 tff(25772,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25773,plain,
% 83.55/53.17 ((v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0))) <=> (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25774,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25773])).
% 83.55/53.17 tff(25775,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25774, 25772])).
% 83.55/53.17 tff(25776,plain,
% 83.55/53.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25777,plain,
% 83.55/53.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25776, 25775])).
% 83.55/53.17 tff(25778,plain,
% 83.55/53.17 ((~v129(constB148, 0)) | (~v100(constB148))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25777, 508, 25540])).
% 83.55/53.17 tff(25779,plain,
% 83.55/53.17 (~v129(constB148, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25778, 25771])).
% 83.55/53.17 tff(25780,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25781,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25782,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 83.55/53.17 tff(25783,plain,
% 83.55/53.17 ((~v127(constB147, 0)) | v129(constB148, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25782, 493, 20876])).
% 83.55/53.17 tff(25784,plain,
% 83.55/53.17 (~v127(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25783, 25779])).
% 83.55/53.17 tff(25785,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25786,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25787,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25786, 25785])).
% 83.55/53.17 tff(25788,plain,
% 83.55/53.17 ((~v130(constB147, 0)) | v127(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25787, 478, 20861])).
% 83.55/53.17 tff(25789,plain,
% 83.55/53.17 (~v130(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25788, 25784])).
% 83.55/53.17 tff(25790,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB147)) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB147)) | v130(constB147, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25791,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB147)) | v130(constB147, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25792,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB147)) | v130(constB147, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25791, 25790])).
% 83.55/53.17 tff(25793,plain,
% 83.55/53.17 (~v121(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25792, 1146, 25789])).
% 83.55/53.17 tff(25794,assumption,(~v90(constB148, 2)), introduced(assumption)).
% 83.55/53.17 tff(25795,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25796,plain,
% 83.55/53.17 ((v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2))) <=> (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25797,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25796])).
% 83.55/53.17 tff(25798,plain,
% 83.55/53.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25797, 25795])).
% 83.55/53.17 tff(25799,plain,
% 83.55/53.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25800,plain,
% 83.55/53.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25799, 25798])).
% 83.55/53.17 tff(25801,plain,
% 83.55/53.17 ((~v129(constB148, 2)) | (~v100(constB148))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25800, 1338, 25794])).
% 83.55/53.17 tff(25802,plain,
% 83.55/53.17 (~v129(constB148, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25801, 25771])).
% 83.55/53.17 tff(25803,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25804,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25805,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25804, 25803])).
% 83.55/53.17 tff(25806,plain,
% 83.55/53.17 ((~v127(constB147, 2)) | v129(constB148, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25805, 1230, 20876])).
% 83.55/53.17 tff(25807,plain,
% 83.55/53.17 (~v127(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25806, 25802])).
% 83.55/53.17 tff(25808,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25809,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25810,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 83.55/53.17 tff(25811,plain,
% 83.55/53.17 ((~v130(constB147, 2)) | v127(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25810, 1212, 20861])).
% 83.55/53.17 tff(25812,plain,
% 83.55/53.17 (~v130(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25811, 25807])).
% 83.55/53.17 tff(25813,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB147)) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB147)) | v130(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25814,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB147)) | v130(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25815,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB147)) | v130(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 83.55/53.17 tff(25816,plain,
% 83.55/53.17 (~v122(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25815, 1198, 25812])).
% 83.55/53.17 tff(25817,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB147)) | v90(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB147)) | v90(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25818,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB147)) | v90(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25819,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB147)) | v90(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25818, 25817])).
% 83.55/53.17 tff(25820,plain,
% 83.55/53.17 (~v123(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25819, 13210, 25729])).
% 83.55/53.17 tff(25821,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB147)) | v90(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB147)) | v90(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25822,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB147)) | v90(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25823,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB147)) | v90(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 83.55/53.17 tff(25824,plain,
% 83.55/53.17 (~v124(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25823, 5840, 25729])).
% 83.55/53.17 tff(25825,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25826,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25827,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | v130(constB147, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25826, 25825])).
% 83.55/53.17 tff(25828,plain,
% 83.55/53.17 (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v130(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25827, 2180, 25824, 25820])).
% 83.55/53.17 tff(25829,plain,
% 83.55/53.17 ($false),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25828, 25816, 25793, 25789, 25763, 25759])).
% 83.55/53.17 tff(25830,plain,(v90(constB146, 2) | v90(constB148, 2) | v90(constB148, 0) | v90(constB148, 1)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.17 tff(25831,plain,
% 83.55/53.17 (v90(constB146, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25830, 25521, 25538, 25529])).
% 83.55/53.17 tff(25832,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25833,plain,
% 83.55/53.17 (((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2)) <=> ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25834,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2)))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25833])).
% 83.55/53.17 tff(25835,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25834, 25832])).
% 83.55/53.17 tff(25836,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25837,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25836, 25835])).
% 83.55/53.17 tff(25838,plain,
% 83.55/53.17 ((~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25837, 1374, 20728])).
% 83.55/53.17 tff(25839,plain,
% 83.55/53.17 ((~v90(constB146, 2)) | v90(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25838, 20740])).
% 83.55/53.17 tff(25840,plain,
% 83.55/53.17 (v90(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25839, 25831])).
% 83.55/53.17 tff(25841,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25842,plain,
% 83.55/53.17 (((~nextState(constB147, constB148)) | (~v90(constB147, 2)) | v100(constB148) | v90(constB148, 2)) <=> ((~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25843,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 2)) | v100(constB148) | v90(constB148, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2)))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25842])).
% 83.55/53.17 tff(25844,plain,
% 83.55/53.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 2)) | v100(constB148) | v90(constB148, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25843, 25841])).
% 83.55/53.17 tff(25845,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 2)) | v100(constB148) | v90(constB148, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25846,plain,
% 83.55/53.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB147, 2)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 83.55/53.17 tff(25847,plain,
% 83.55/53.17 ((~v90(constB147, 2)) | v100(constB148) | v90(constB148, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25846, 1374, 20876])).
% 83.55/53.17 tff(25848,plain,
% 83.55/53.17 (v100(constB148)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25847, 25840, 25521])).
% 83.55/53.17 tff(25849,plain,
% 83.55/53.17 ((~v129(constB148, 0)) | (~v100(constB148))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25777, 508, 25538])).
% 83.55/53.17 tff(25850,plain,
% 83.55/53.17 (~v129(constB148, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25849, 25848])).
% 83.55/53.17 tff(25851,plain,
% 83.55/53.17 (~v127(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25783, 25850])).
% 83.55/53.17 tff(25852,plain,
% 83.55/53.17 (~v130(constB147, 0)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25788, 25851])).
% 83.55/53.17 tff(25853,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB147)) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB147)) | v130(constB147, 0))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25854,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB147)) | v130(constB147, 0))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25855,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB147)) | v130(constB147, 0)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 83.55/53.17 tff(25856,plain,
% 83.55/53.17 (~v123(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25855, 1664, 25852])).
% 83.55/53.17 tff(25857,plain,
% 83.55/53.17 ((~v129(constB148, 2)) | (~v100(constB148))),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25800, 1338, 25521])).
% 83.55/53.17 tff(25858,plain,
% 83.55/53.17 (~v129(constB148, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25857, 25848])).
% 83.55/53.17 tff(25859,plain,
% 83.55/53.17 (~v127(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25806, 25858])).
% 83.55/53.17 tff(25860,plain,
% 83.55/53.17 (~v130(constB147, 2)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25811, 25859])).
% 83.55/53.17 tff(25861,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB147)) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB147)) | v130(constB147, 2))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25862,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB147)) | v130(constB147, 2))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25863,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB147)) | v130(constB147, 2)),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 83.55/53.17 tff(25864,plain,
% 83.55/53.17 (~v124(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25863, 1716, 25860])).
% 83.55/53.17 tff(25865,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB147)) | (~v90(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25866,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25867,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB147)) | (~v90(constB147, 2))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 83.55/53.17 tff(25868,plain,
% 83.55/53.17 (~v119(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25867, 11016, 25840])).
% 83.55/53.17 tff(25869,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB147)) | (~v90(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25870,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25871,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB147)) | (~v90(constB147, 2))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 83.55/53.17 tff(25872,plain,
% 83.55/53.17 (~v120(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25871, 11001, 25840])).
% 83.55/53.17 tff(25873,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB147)) | (~v90(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25874,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25875,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB147)) | (~v90(constB147, 2))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 83.55/53.17 tff(25876,plain,
% 83.55/53.17 (~v121(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25875, 2017, 25840])).
% 83.55/53.17 tff(25877,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB147)) | (~v90(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25878,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB147)) | (~v90(constB147, 2)))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25879,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB147)) | (~v90(constB147, 2))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25878, 25877])).
% 83.55/53.17 tff(25880,plain,
% 83.55/53.17 (~v122(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25879, 2006, 25840])).
% 83.55/53.17 tff(25881,plain,
% 83.55/53.17 (v123(constB147) | v124(constB147)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25827, 2180, 25852, 25880, 25876, 25872, 25868])).
% 83.55/53.17 tff(25882,plain,
% 83.55/53.17 ($false),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25881, 25864, 25856])).
% 83.55/53.17 tff(25883,plain,(v90(constB149, 2) | v90(constB149, 0) | v121(constB149)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.17 tff(25884,plain,
% 83.55/53.17 (v121(constB149)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25883, 20959, 20997])).
% 83.55/53.17 tff(25885,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25886,plain,
% 83.55/53.17 (((~v121(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v121(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25887,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25886])).
% 83.55/53.17 tff(25888,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25887, 25885])).
% 83.55/53.17 tff(25889,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25890,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 83.55/53.17 tff(25891,plain,
% 83.55/53.17 (v117(constB149)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25890, 967, 25884])).
% 83.55/53.17 tff(25892,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25893,plain,
% 83.55/53.17 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25894,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25893])).
% 83.55/53.17 tff(25895,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25894, 25892])).
% 83.55/53.17 tff(25896,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25897,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 83.55/53.17 tff(25898,plain,
% 83.55/53.17 (v116(constB149)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25897, 200, 25891])).
% 83.55/53.17 tff(25899,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25900,plain,
% 83.55/53.17 (((~v116(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v116(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25901,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25900])).
% 83.55/53.17 tff(25902,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25901, 25899])).
% 83.55/53.17 tff(25903,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25904,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149))),
% 83.55/53.17 inference(modus_ponens,[status(thm)],[25903, 25902])).
% 83.55/53.17 tff(25905,plain,
% 83.55/53.17 (v115(constB149)),
% 83.55/53.17 inference(unit_resolution,[status(thm)],[25904, 214, 25898])).
% 83.55/53.17 tff(25906,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25907,plain,
% 83.55/53.17 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 83.55/53.17 inference(rewrite,[status(thm)],[])).
% 83.55/53.17 tff(25908,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 83.55/53.17 inference(monotonicity,[status(thm)],[25907])).
% 83.55/53.17 tff(25909,plain,
% 83.55/53.17 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 83.55/53.17 inference(transitivity,[status(thm)],[25908, 25906])).
% 83.55/53.17 tff(25910,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 83.55/53.17 inference(quant_inst,[status(thm)],[])).
% 83.55/53.17 tff(25911,plain,
% 83.55/53.17 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25910, 25909])).
% 83.55/53.18 tff(25912,plain,
% 83.55/53.18 (v114(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25911, 228, 25905])).
% 83.55/53.18 tff(25913,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB149)) | v113(constB149))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25914,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25915,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB149)) | v113(constB149)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 83.55/53.18 tff(25916,plain,
% 83.55/53.18 (v113(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25915, 242, 25912])).
% 83.55/53.18 tff(25917,assumption,(v26(constB149)), introduced(assumption)).
% 83.55/53.18 tff(25918,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25919,plain,
% 83.55/53.18 ($false),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25918, 19, 25917])).
% 83.55/53.18 tff(25920,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.18 tff(25921,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25922,plain,
% 83.55/53.18 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25923,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[25922])).
% 83.55/53.18 tff(25924,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[25923, 25921])).
% 83.55/53.18 tff(25925,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25926,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25925, 25924])).
% 83.55/53.18 tff(25927,plain,
% 83.55/53.18 (v112(constB149) | (~v113(constB149))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25926, 256, 25920])).
% 83.55/53.18 tff(25928,plain,
% 83.55/53.18 (v112(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25927, 25916])).
% 83.55/53.18 tff(25929,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25930,plain,
% 83.55/53.18 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25931,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[25930])).
% 83.55/53.18 tff(25932,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[25931, 25929])).
% 83.55/53.18 tff(25933,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25934,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 83.55/53.18 tff(25935,plain,
% 83.55/53.18 (v108(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25934, 268, 25928])).
% 83.55/53.18 tff(25936,plain,
% 83.55/53.18 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25937,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 83.55/53.18 tff(25938,plain,
% 83.55/53.18 (nextState(constB149, constB150)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 83.55/53.18 tff(25939,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25940,plain,
% 83.55/53.18 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25941,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[25940])).
% 83.55/53.18 tff(25942,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[25941, 25939])).
% 83.55/53.18 tff(25943,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25944,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 83.55/53.18 tff(25945,plain,
% 83.55/53.18 (v110(constB150) | (~v108(constB149))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25944, 288, 25938])).
% 83.55/53.18 tff(25946,plain,
% 83.55/53.18 (v110(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25945, 25935])).
% 83.55/53.18 tff(25947,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25948,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25949,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25948, 25947])).
% 83.55/53.18 tff(25950,plain,
% 83.55/53.18 (~v104(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25949, 306, 25938, 20935])).
% 83.55/53.18 tff(25951,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25952,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25953,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 83.55/53.18 tff(25954,plain,
% 83.55/53.18 (v102(constB150) | v104(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25953, 320, 25938])).
% 83.55/53.18 tff(25955,plain,
% 83.55/53.18 (v102(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25954, 25950])).
% 83.55/53.18 tff(25956,plain,
% 83.55/53.18 (v1(constB150) <=> v1(constB150)),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25957,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 83.55/53.18 tff(25958,plain,
% 83.55/53.18 (v1(constB150)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25957, 25956])).
% 83.55/53.18 tff(25959,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25960,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25961,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25960, 25959])).
% 83.55/53.18 tff(25962,plain,
% 83.55/53.18 (v101(constB150) | (~v102(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25961, 338, 25938, 25958])).
% 83.55/53.18 tff(25963,plain,
% 83.55/53.18 (v101(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25962, 25955])).
% 83.55/53.18 tff(25964,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25965,plain,
% 83.55/53.18 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25966,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[25965])).
% 83.55/53.18 tff(25967,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[25966, 25964])).
% 83.55/53.18 tff(25968,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25969,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 83.55/53.18 tff(25970,plain,
% 83.55/53.18 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25969, 353, 25938])).
% 83.55/53.18 tff(25971,plain,
% 83.55/53.18 (v100(constB150) | (~v110(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25970, 25963])).
% 83.55/53.18 tff(25972,plain,
% 83.55/53.18 (v100(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25971, 25946])).
% 83.55/53.18 tff(25973,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25974,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25975,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 83.55/53.18 tff(25976,plain,
% 83.55/53.18 (~v130(constB149, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25975, 1052, 25884])).
% 83.55/53.18 tff(25977,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25978,plain,
% 83.55/53.18 ((v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2))) <=> ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25979,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[25978])).
% 83.55/53.18 tff(25980,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 83.55/53.18 inference(transitivity,[status(thm)],[25979, 25977])).
% 83.55/53.18 tff(25981,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25982,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 83.55/53.18 tff(25983,plain,
% 83.55/53.18 ((~v127(constB149, 2)) | v130(constB149, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25982, 556, 25920])).
% 83.55/53.18 tff(25984,plain,
% 83.55/53.18 (~v127(constB149, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25983, 25976])).
% 83.55/53.18 tff(25985,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25986,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25987,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25986, 25985])).
% 83.55/53.18 tff(25988,plain,
% 83.55/53.18 (v127(constB149, 2) | (~v129(constB150, 2))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25987, 574, 25938])).
% 83.55/53.18 tff(25989,plain,
% 83.55/53.18 (~v129(constB150, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25988, 25984])).
% 83.55/53.18 tff(25990,plain,
% 83.55/53.18 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25991,plain,
% 83.55/53.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(25992,plain,
% 83.55/53.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 83.55/53.18 tff(25993,plain,
% 83.55/53.18 ((~v90(constB150, 2)) | (~v100(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25992, 589, 25989])).
% 83.55/53.18 tff(25994,plain,
% 83.55/53.18 (~v90(constB150, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25993, 25972])).
% 83.55/53.18 tff(25995,plain,
% 83.55/53.18 ((~v1(constB151)) <=> (~v1(constB151))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25996,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 83.55/53.18 tff(25997,plain,
% 83.55/53.18 (~v1(constB151)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 83.55/53.18 tff(25998,plain,
% 83.55/53.18 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(25999,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 83.55/53.18 tff(26000,plain,
% 83.55/53.18 (nextState(constB150, constB151)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[25999, 25998])).
% 83.55/53.18 tff(26001,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26002,plain,
% 83.55/53.18 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26003,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26002])).
% 83.55/53.18 tff(26004,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26003, 26001])).
% 83.55/53.18 tff(26005,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26006,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26005, 26004])).
% 83.55/53.18 tff(26007,plain,
% 83.55/53.18 (~v101(constB151)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26006, 66, 26000, 25997])).
% 83.55/53.18 tff(26008,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26009,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26010,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26009, 26008])).
% 83.55/53.18 tff(26011,plain,
% 83.55/53.18 (v101(constB151) | (~v100(constB151))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26010, 83, 26000])).
% 83.55/53.18 tff(26012,plain,
% 83.55/53.18 (~v100(constB151)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26011, 26007])).
% 83.55/53.18 tff(26013,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26014,plain,
% 83.55/53.18 (((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))) <=> (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26015,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26014])).
% 83.55/53.18 tff(26016,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26015, 26013])).
% 83.55/53.18 tff(26017,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26018,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26017, 26016])).
% 83.55/53.18 tff(26019,plain,
% 83.55/53.18 (v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26018, 98, 26000])).
% 83.55/53.18 tff(26020,plain,
% 83.55/53.18 (v90(constB150, 2) | (~v90(constB151, 2))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26019, 26012])).
% 83.55/53.18 tff(26021,plain,
% 83.55/53.18 (~v90(constB151, 2)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26020, 25994])).
% 83.55/53.18 tff(26022,assumption,(~v90(constB151, 2)), introduced(assumption)).
% 83.55/53.18 tff(26023,assumption,(v121(constB149)), introduced(assumption)).
% 83.55/53.18 tff(26024,plain,
% 83.55/53.18 (v117(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25890, 967, 26023])).
% 83.55/53.18 tff(26025,plain,
% 83.55/53.18 (v116(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25897, 200, 26024])).
% 83.55/53.18 tff(26026,plain,
% 83.55/53.18 (v115(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25904, 214, 26025])).
% 83.55/53.18 tff(26027,plain,
% 83.55/53.18 (v114(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25911, 228, 26026])).
% 83.55/53.18 tff(26028,plain,
% 83.55/53.18 (v113(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25915, 242, 26027])).
% 83.55/53.18 tff(26029,plain,
% 83.55/53.18 (v112(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25927, 26028])).
% 83.55/53.18 tff(26030,plain,
% 83.55/53.18 (v108(constB149)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25934, 268, 26029])).
% 83.55/53.18 tff(26031,plain,
% 83.55/53.18 (v110(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25945, 26030])).
% 83.55/53.18 tff(26032,plain,
% 83.55/53.18 (v100(constB150)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[25971, 26031])).
% 83.55/53.18 tff(26033,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26034,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26035,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26034, 26033])).
% 83.55/53.18 tff(26036,plain,
% 83.55/53.18 (v130(constB149, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26035, 1146, 26023])).
% 83.55/53.18 tff(26037,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26038,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26039,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26038, 26037])).
% 83.55/53.18 tff(26040,plain,
% 83.55/53.18 ((~v130(constB149, 0)) | v127(constB149, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26039, 478, 25920])).
% 83.55/53.18 tff(26041,plain,
% 83.55/53.18 (v127(constB149, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26040, 26036])).
% 83.55/53.18 tff(26042,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26043,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26044,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26043, 26042])).
% 83.55/53.18 tff(26045,plain,
% 83.55/53.18 ((~v127(constB149, 0)) | v129(constB150, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26044, 493, 25938])).
% 83.55/53.18 tff(26046,plain,
% 83.55/53.18 (v129(constB150, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26045, 26041])).
% 83.55/53.18 tff(26047,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26048,plain,
% 83.55/53.18 ((v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0))) <=> (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26049,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26048])).
% 83.55/53.18 tff(26050,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26049, 26047])).
% 83.55/53.18 tff(26051,plain,
% 83.55/53.18 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26052,plain,
% 83.55/53.18 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26051, 26050])).
% 83.55/53.18 tff(26053,plain,
% 83.55/53.18 (v90(constB150, 0) | (~v100(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26052, 508, 26046])).
% 83.55/53.18 tff(26054,plain,
% 83.55/53.18 (v90(constB150, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26053, 26032])).
% 83.55/53.18 tff(26055,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26056,plain,
% 83.55/53.18 (((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)) <=> ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26057,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26056])).
% 83.55/53.18 tff(26058,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26057, 26055])).
% 83.55/53.18 tff(26059,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26060,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26059, 26058])).
% 83.55/53.18 tff(26061,plain,
% 83.55/53.18 ((~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26060, 526, 26000])).
% 83.55/53.18 tff(26062,plain,
% 83.55/53.18 ((~v90(constB150, 0)) | v90(constB151, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26061, 26012])).
% 83.55/53.18 tff(26063,plain,
% 83.55/53.18 (v90(constB151, 0)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26062, 26054])).
% 83.55/53.18 tff(26064,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26065,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26066,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 83.55/53.18 tff(26067,plain,
% 83.55/53.18 (v130(constB149, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26066, 1108, 26023])).
% 83.55/53.18 tff(26068,plain,
% 83.55/53.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26069,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26070,plain,
% 83.55/53.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26069, 26068])).
% 83.55/53.18 tff(26071,plain,
% 83.55/53.18 ((~v130(constB149, 1)) | v127(constB149, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26070, 818, 25920])).
% 83.55/53.18 tff(26072,plain,
% 83.55/53.18 (v127(constB149, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26071, 26067])).
% 83.55/53.18 tff(26073,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26074,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26075,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26074, 26073])).
% 83.55/53.18 tff(26076,plain,
% 83.55/53.18 ((~v127(constB149, 1)) | v129(constB150, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26075, 833, 25938])).
% 83.55/53.18 tff(26077,plain,
% 83.55/53.18 (v129(constB150, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26076, 26072])).
% 83.55/53.18 tff(26078,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26079,plain,
% 83.55/53.18 ((v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1))) <=> (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26080,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26079])).
% 83.55/53.18 tff(26081,plain,
% 83.55/53.18 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26080, 26078])).
% 83.55/53.18 tff(26082,plain,
% 83.55/53.18 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26083,plain,
% 83.55/53.18 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 83.55/53.18 tff(26084,plain,
% 83.55/53.18 (v90(constB150, 1) | (~v100(constB150))),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26083, 848, 26077])).
% 83.55/53.18 tff(26085,plain,
% 83.55/53.18 (v90(constB150, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26084, 26032])).
% 83.55/53.18 tff(26086,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26087,plain,
% 83.55/53.18 (((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)) <=> ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 83.55/53.18 inference(rewrite,[status(thm)],[])).
% 83.55/53.18 tff(26088,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)))),
% 83.55/53.18 inference(monotonicity,[status(thm)],[26087])).
% 83.55/53.18 tff(26089,plain,
% 83.55/53.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 83.55/53.18 inference(transitivity,[status(thm)],[26088, 26086])).
% 83.55/53.18 tff(26090,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))),
% 83.55/53.18 inference(quant_inst,[status(thm)],[])).
% 83.55/53.18 tff(26091,plain,
% 83.55/53.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)),
% 83.55/53.18 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 83.55/53.18 tff(26092,plain,
% 83.55/53.18 ((~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26091, 866, 26000])).
% 83.55/53.18 tff(26093,plain,
% 83.55/53.18 ((~v90(constB150, 1)) | v90(constB151, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26092, 26012])).
% 83.55/53.18 tff(26094,plain,
% 83.55/53.18 (v90(constB151, 1)),
% 83.55/53.18 inference(unit_resolution,[status(thm)],[26093, 26085])).
% 83.55/53.18 tff(26095,assumption,(~v122(constB151)), introduced(assumption)).
% 83.55/53.19 tff(26096,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26097,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26098,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26097, 26096])).
% 83.55/53.19 tff(26099,plain,
% 83.55/53.19 ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26098, 1187, 26095])).
% 83.55/53.19 tff(26100,plain,
% 83.55/53.19 ($false),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26099, 26094, 26063, 26022])).
% 83.55/53.19 tff(26101,plain,((~v121(constB149)) | v90(constB151, 2) | v122(constB151)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.19 tff(26102,plain,
% 83.55/53.19 (v122(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26101, 26021, 25884])).
% 83.55/53.19 tff(26103,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26104,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26105,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26104, 26103])).
% 83.55/53.19 tff(26106,plain,
% 83.55/53.19 (v130(constB151, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26105, 1198, 26102])).
% 83.55/53.19 tff(26107,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26108,plain,
% 83.55/53.19 (((~v122(constB151)) | v116(constB151)) <=> (v116(constB151) | (~v122(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26109,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB151) | (~v122(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26108])).
% 83.55/53.19 tff(26110,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26109, 26107])).
% 83.55/53.19 tff(26111,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26112,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB151) | (~v122(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26111, 26110])).
% 83.55/53.19 tff(26113,plain,
% 83.55/53.19 (v116(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26112, 1257, 26102])).
% 83.55/53.19 tff(26114,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26115,plain,
% 83.55/53.19 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26116,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26115])).
% 83.55/53.19 tff(26117,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26116, 26114])).
% 83.55/53.19 tff(26118,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26119,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26118, 26117])).
% 83.55/53.19 tff(26120,plain,
% 83.55/53.19 (v115(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26119, 214, 26113])).
% 83.55/53.19 tff(26121,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26122,plain,
% 83.55/53.19 (((~v115(constB151)) | v114(constB151)) <=> (v114(constB151) | (~v115(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26123,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB151) | (~v115(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26122])).
% 83.55/53.19 tff(26124,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26123, 26121])).
% 83.55/53.19 tff(26125,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26126,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB151) | (~v115(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 83.55/53.19 tff(26127,plain,
% 83.55/53.19 (v114(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26126, 228, 26120])).
% 83.55/53.19 tff(26128,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26129,plain,
% 83.55/53.19 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26130,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26129])).
% 83.55/53.19 tff(26131,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26130, 26128])).
% 83.55/53.19 tff(26132,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26133,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 83.55/53.19 tff(26134,plain,
% 83.55/53.19 (v113(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26133, 242, 26127])).
% 83.55/53.19 tff(26135,assumption,(v26(constB151)), introduced(assumption)).
% 83.55/53.19 tff(26136,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26137,plain,
% 83.55/53.19 ($false),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26136, 19, 26135])).
% 83.55/53.19 tff(26138,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 83.55/53.19 tff(26139,assumption,(~v26(constB151)), introduced(assumption)).
% 83.55/53.19 tff(26140,assumption,(v113(constB151)), introduced(assumption)).
% 83.55/53.19 tff(26141,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26142,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26143,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 83.55/53.19 tff(26144,plain,
% 83.55/53.19 (v26(constB151) | v112(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26143, 256, 26140])).
% 83.55/53.19 tff(26145,plain,
% 83.55/53.19 (v112(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26144, 26139])).
% 83.55/53.19 tff(26146,assumption,(v130(constB151, 2)), introduced(assumption)).
% 83.55/53.19 tff(26147,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26148,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26149,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26148, 26147])).
% 83.55/53.19 tff(26150,plain,
% 83.55/53.19 (v26(constB151) | v127(constB151, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26149, 1212, 26146])).
% 83.55/53.19 tff(26151,plain,
% 83.55/53.19 (v127(constB151, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26150, 26139])).
% 83.55/53.19 tff(26152,plain,
% 83.55/53.19 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26153,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 83.55/53.19 tff(26154,plain,
% 83.55/53.19 (nextState(constB151, constB152)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 83.55/53.19 tff(26155,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26156,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26157,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26156, 26155])).
% 83.55/53.19 tff(26158,plain,
% 83.55/53.19 ((~v127(constB151, 2)) | v129(constB152, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26157, 1230, 26154])).
% 83.55/53.19 tff(26159,plain,
% 83.55/53.19 (v129(constB152, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26158, 26151])).
% 83.55/53.19 tff(26160,assumption,(~v90(constB152, 2)), introduced(assumption)).
% 83.55/53.19 tff(26161,plain,
% 83.55/53.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26162,plain,
% 83.55/53.19 ((v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2))) <=> (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26163,plain,
% 83.55/53.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26162])).
% 83.55/53.19 tff(26164,plain,
% 83.55/53.19 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26163, 26161])).
% 83.55/53.19 tff(26165,plain,
% 83.55/53.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26166,plain,
% 83.55/53.19 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 83.55/53.19 tff(26167,plain,
% 83.55/53.19 ((~v129(constB152, 2)) | (~v100(constB152))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26166, 1338, 26160])).
% 83.55/53.19 tff(26168,plain,
% 83.55/53.19 (~v100(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26167, 26159])).
% 83.55/53.19 tff(26169,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26170,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26171,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26170, 26169])).
% 83.55/53.19 tff(26172,plain,
% 83.55/53.19 (~v104(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26171, 306, 26154, 25997])).
% 83.55/53.19 tff(26173,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26174,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26175,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26174, 26173])).
% 83.55/53.19 tff(26176,plain,
% 83.55/53.19 (v102(constB152) | v104(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26175, 320, 26154])).
% 83.55/53.19 tff(26177,plain,
% 83.55/53.19 (v102(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26176, 26172])).
% 83.55/53.19 tff(26178,plain,
% 83.55/53.19 (v1(constB152) <=> v1(constB152)),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26179,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 83.55/53.19 tff(26180,plain,
% 83.55/53.19 (v1(constB152)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 83.55/53.19 tff(26181,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26182,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26183,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 83.55/53.19 tff(26184,plain,
% 83.55/53.19 (v101(constB152) | (~v102(constB152))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26183, 338, 26154, 26180])).
% 83.55/53.19 tff(26185,plain,
% 83.55/53.19 (v101(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26184, 26177])).
% 83.55/53.19 tff(26186,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26187,plain,
% 83.55/53.19 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26188,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26187])).
% 83.55/53.19 tff(26189,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26188, 26186])).
% 83.55/53.19 tff(26190,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26191,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 83.55/53.19 tff(26192,plain,
% 83.55/53.19 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26191, 353, 26154])).
% 83.55/53.19 tff(26193,plain,
% 83.55/53.19 (v100(constB152) | (~v110(constB152))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26192, 26185])).
% 83.55/53.19 tff(26194,plain,
% 83.55/53.19 (~v110(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26193, 26168])).
% 83.55/53.19 tff(26195,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26196,plain,
% 83.55/53.19 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26197,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26196])).
% 83.55/53.19 tff(26198,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26197, 26195])).
% 83.55/53.19 tff(26199,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26200,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 83.55/53.19 tff(26201,plain,
% 83.55/53.19 (v110(constB152) | (~v108(constB151))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26200, 288, 26154])).
% 83.55/53.19 tff(26202,plain,
% 83.55/53.19 (~v108(constB151)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26201, 26194])).
% 83.55/53.19 tff(26203,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26204,plain,
% 83.55/53.19 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26205,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26204])).
% 83.55/53.19 tff(26206,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26205, 26203])).
% 83.55/53.19 tff(26207,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26208,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26207, 26206])).
% 83.55/53.19 tff(26209,plain,
% 83.55/53.19 ($false),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26208, 268, 26202, 26145])).
% 83.55/53.19 tff(26210,plain,(v26(constB151) | v90(constB152, 2) | (~v113(constB151)) | (~v130(constB151, 2))), inference(lemma,lemma(discharge,[]))).
% 83.55/53.19 tff(26211,plain,
% 83.55/53.19 (v90(constB152, 2) | (~v113(constB151)) | (~v130(constB151, 2))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26210, 26138])).
% 83.55/53.19 tff(26212,plain,
% 83.55/53.19 (v90(constB152, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26211, 26134, 26106])).
% 83.55/53.19 tff(26213,plain,
% 83.55/53.19 ((~v1(constB153)) <=> (~v1(constB153))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26214,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 83.55/53.19 tff(26215,plain,
% 83.55/53.19 (~v1(constB153)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26214, 26213])).
% 83.55/53.19 tff(26216,plain,
% 83.55/53.19 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26217,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 83.55/53.19 tff(26218,plain,
% 83.55/53.19 (nextState(constB152, constB153)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 83.55/53.19 tff(26219,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26220,plain,
% 83.55/53.19 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26221,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26220])).
% 83.55/53.19 tff(26222,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26221, 26219])).
% 83.55/53.19 tff(26223,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26224,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26223, 26222])).
% 83.55/53.19 tff(26225,plain,
% 83.55/53.19 (~v101(constB153)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26224, 66, 26218, 26215])).
% 83.55/53.19 tff(26226,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26227,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26228,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26227, 26226])).
% 83.55/53.19 tff(26229,plain,
% 83.55/53.19 (v101(constB153) | (~v100(constB153))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26228, 83, 26218])).
% 83.55/53.19 tff(26230,plain,
% 83.55/53.19 (~v100(constB153)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26229, 26225])).
% 83.55/53.19 tff(26231,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26232,plain,
% 83.55/53.19 (((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)) <=> ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26233,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26232])).
% 83.55/53.19 tff(26234,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26233, 26231])).
% 83.55/53.19 tff(26235,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26236,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 83.55/53.19 tff(26237,plain,
% 83.55/53.19 ((~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26236, 1374, 26218])).
% 83.55/53.19 tff(26238,plain,
% 83.55/53.19 ((~v90(constB152, 2)) | v90(constB153, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26237, 26230])).
% 83.55/53.19 tff(26239,plain,
% 83.55/53.19 (v90(constB153, 2)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26238, 26212])).
% 83.55/53.19 tff(26240,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26241,plain,
% 83.55/53.19 (((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2))) <=> (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26242,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2))))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26241])).
% 83.55/53.19 tff(26243,plain,
% 83.55/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26242, 26240])).
% 83.55/53.19 tff(26244,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26245,plain,
% 83.55/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 83.55/53.19 tff(26246,plain,
% 83.55/53.19 (v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2))),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26245, 98, 26154])).
% 83.55/53.19 tff(26247,plain,
% 83.55/53.19 (v100(constB152)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26246, 26212, 26021])).
% 83.55/53.19 tff(26248,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1)))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26249,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))),
% 83.55/53.19 inference(quant_inst,[status(thm)],[])).
% 83.55/53.19 tff(26250,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1))),
% 83.55/53.19 inference(modus_ponens,[status(thm)],[26249, 26248])).
% 83.55/53.19 tff(26251,plain,
% 83.55/53.19 (~v130(constB151, 1)),
% 83.55/53.19 inference(unit_resolution,[status(thm)],[26250, 1390, 26102])).
% 83.55/53.19 tff(26252,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26253,plain,
% 83.55/53.19 ((v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1))) <=> ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 83.55/53.19 inference(rewrite,[status(thm)],[])).
% 83.55/53.19 tff(26254,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)))),
% 83.55/53.19 inference(monotonicity,[status(thm)],[26253])).
% 83.55/53.19 tff(26255,plain,
% 83.55/53.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 83.55/53.19 inference(transitivity,[status(thm)],[26254, 26252])).
% 83.55/53.19 tff(26256,plain,
% 83.55/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))),
% 83.63/53.19 inference(quant_inst,[status(thm)],[])).
% 83.63/53.19 tff(26257,plain,
% 83.63/53.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)),
% 83.63/53.19 inference(modus_ponens,[status(thm)],[26256, 26255])).
% 83.63/53.19 tff(26258,plain,
% 83.63/53.19 ((~v127(constB151, 1)) | v130(constB151, 1)),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26257, 383, 26138])).
% 83.63/53.19 tff(26259,plain,
% 83.63/53.19 (~v127(constB151, 1)),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26258, 26251])).
% 83.63/53.19 tff(26260,plain,
% 83.63/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 83.63/53.19 inference(rewrite,[status(thm)],[])).
% 83.63/53.19 tff(26261,plain,
% 83.63/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 83.63/53.19 inference(quant_inst,[status(thm)],[])).
% 83.63/53.19 tff(26262,plain,
% 83.63/53.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1))),
% 83.63/53.19 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 83.63/53.19 tff(26263,plain,
% 83.63/53.19 (v127(constB151, 1) | (~v129(constB152, 1))),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26262, 401, 26154])).
% 83.63/53.19 tff(26264,plain,
% 83.63/53.19 (~v129(constB152, 1)),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26263, 26259])).
% 83.63/53.19 tff(26265,plain,
% 83.63/53.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 83.63/53.19 inference(rewrite,[status(thm)],[])).
% 83.63/53.19 tff(26266,plain,
% 83.63/53.19 (((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1)) <=> ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 83.63/53.19 inference(rewrite,[status(thm)],[])).
% 83.63/53.19 tff(26267,plain,
% 83.63/53.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))))),
% 83.63/53.19 inference(monotonicity,[status(thm)],[26266])).
% 83.63/53.19 tff(26268,plain,
% 83.63/53.19 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 83.63/53.19 inference(transitivity,[status(thm)],[26267, 26265])).
% 83.63/53.19 tff(26269,plain,
% 83.63/53.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))),
% 83.63/53.19 inference(quant_inst,[status(thm)],[])).
% 83.63/53.19 tff(26270,plain,
% 83.63/53.19 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))),
% 83.63/53.19 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 83.63/53.19 tff(26271,plain,
% 83.63/53.19 ((~v90(constB152, 1)) | (~v100(constB152))),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26270, 416, 26264])).
% 83.63/53.19 tff(26272,plain,
% 83.63/53.19 (~v90(constB152, 1)),
% 83.63/53.19 inference(unit_resolution,[status(thm)],[26271, 26247])).
% 83.63/53.19 tff(26273,plain,
% 83.63/53.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26274,plain,
% 83.63/53.20 (((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))) <=> (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26275,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26274])).
% 83.63/53.20 tff(26276,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26275, 26273])).
% 83.63/53.20 tff(26277,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26278,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26277, 26276])).
% 83.63/53.20 tff(26279,plain,
% 83.63/53.20 (v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26278, 119, 26218])).
% 83.63/53.20 tff(26280,plain,
% 83.63/53.20 (v90(constB152, 1) | (~v90(constB153, 1))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26279, 26230])).
% 83.63/53.20 tff(26281,plain,
% 83.63/53.20 (~v90(constB153, 1)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26280, 26272])).
% 83.63/53.20 tff(26282,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26283,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26284,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 83.63/53.20 tff(26285,plain,
% 83.63/53.20 (~v130(constB151, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26284, 1431, 26102])).
% 83.63/53.20 tff(26286,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26287,plain,
% 83.63/53.20 ((v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0))) <=> ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26288,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26287])).
% 83.63/53.20 tff(26289,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26288, 26286])).
% 83.63/53.20 tff(26290,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26291,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 83.63/53.20 tff(26292,plain,
% 83.63/53.20 ((~v127(constB151, 0)) | v130(constB151, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26291, 896, 26138])).
% 83.63/53.20 tff(26293,plain,
% 83.63/53.20 (~v127(constB151, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26292, 26285])).
% 83.63/53.20 tff(26294,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26295,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26296,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 83.63/53.20 tff(26297,plain,
% 83.63/53.20 (v127(constB151, 0) | (~v129(constB152, 0))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26296, 914, 26154])).
% 83.63/53.20 tff(26298,plain,
% 83.63/53.20 (~v129(constB152, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26297, 26293])).
% 83.63/53.20 tff(26299,plain,
% 83.63/53.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26300,plain,
% 83.63/53.20 (((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0)) <=> ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26301,plain,
% 83.63/53.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26300])).
% 83.63/53.20 tff(26302,plain,
% 83.63/53.20 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26301, 26299])).
% 83.63/53.20 tff(26303,plain,
% 83.63/53.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26304,plain,
% 83.63/53.20 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 83.63/53.20 tff(26305,plain,
% 83.63/53.20 ((~v90(constB152, 0)) | (~v100(constB152))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26304, 929, 26298])).
% 83.63/53.20 tff(26306,plain,
% 83.63/53.20 (~v90(constB152, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26305, 26247])).
% 83.63/53.20 tff(26307,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26308,plain,
% 83.63/53.20 (((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))) <=> (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26309,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26308])).
% 83.63/53.20 tff(26310,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26309, 26307])).
% 83.63/53.20 tff(26311,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26312,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 83.63/53.20 tff(26313,plain,
% 83.63/53.20 (v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26312, 140, 26218])).
% 83.63/53.20 tff(26314,plain,
% 83.63/53.20 (v90(constB152, 0) | (~v90(constB153, 0))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26313, 26230])).
% 83.63/53.20 tff(26315,plain,
% 83.63/53.20 (~v90(constB153, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26314, 26306])).
% 83.63/53.20 tff(26316,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26317,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26318,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 83.63/53.20 tff(26319,plain,
% 83.63/53.20 (v123(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26318, 1475, 26315, 26281, 26239])).
% 83.63/53.20 tff(26320,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26321,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26322,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26321, 26320])).
% 83.63/53.20 tff(26323,plain,
% 83.63/53.20 (v115(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26322, 1486, 26319])).
% 83.63/53.20 tff(26324,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26325,plain,
% 83.63/53.20 (((~v115(constB153)) | v114(constB153)) <=> (v114(constB153) | (~v115(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26326,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB153) | (~v115(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26325])).
% 83.63/53.20 tff(26327,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26326, 26324])).
% 83.63/53.20 tff(26328,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26329,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB153) | (~v115(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 83.63/53.20 tff(26330,plain,
% 83.63/53.20 (v114(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26329, 228, 26323])).
% 83.63/53.20 tff(26331,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26332,plain,
% 83.63/53.20 (((~v114(constB153)) | v113(constB153)) <=> (v113(constB153) | (~v114(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26333,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26332])).
% 83.63/53.20 tff(26334,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26333, 26331])).
% 83.63/53.20 tff(26335,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26336,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26335, 26334])).
% 83.63/53.20 tff(26337,plain,
% 83.63/53.20 (v113(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26336, 242, 26330])).
% 83.63/53.20 tff(26338,assumption,(~v108(constB153)), introduced(assumption)).
% 83.63/53.20 tff(26339,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26340,plain,
% 83.63/53.20 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26341,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26340])).
% 83.63/53.20 tff(26342,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26341, 26339])).
% 83.63/53.20 tff(26343,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26344,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26343, 26342])).
% 83.63/53.20 tff(26345,plain,
% 83.63/53.20 (~v112(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26344, 268, 26338])).
% 83.63/53.20 tff(26346,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v26(constB153)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v26(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26347,plain,
% 83.63/53.20 (((~v26(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v26(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26348,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v26(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26347])).
% 83.63/53.20 tff(26349,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v26(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26348, 26346])).
% 83.63/53.20 tff(26350,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB153)) | v108(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26351,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v26(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26350, 26349])).
% 83.63/53.20 tff(26352,plain,
% 83.63/53.20 (~v26(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26351, 685, 26338])).
% 83.63/53.20 tff(26353,assumption,(v113(constB153)), introduced(assumption)).
% 83.63/53.20 tff(26354,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26355,plain,
% 83.63/53.20 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26356,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26355])).
% 83.63/53.20 tff(26357,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26356, 26354])).
% 83.63/53.20 tff(26358,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26359,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 83.63/53.20 tff(26360,plain,
% 83.63/53.20 (v26(constB153) | v112(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26359, 256, 26353])).
% 83.63/53.20 tff(26361,plain,
% 83.63/53.20 ($false),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26360, 26352, 26345])).
% 83.63/53.20 tff(26362,plain,(v108(constB153) | (~v113(constB153))), inference(lemma,lemma(discharge,[]))).
% 83.63/53.20 tff(26363,plain,
% 83.63/53.20 (v108(constB153)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26362, 26337])).
% 83.63/53.20 tff(26364,plain,
% 83.63/53.20 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26365,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 83.63/53.20 tff(26366,plain,
% 83.63/53.20 (nextState(constB153, constB154)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26365, 26364])).
% 83.63/53.20 tff(26367,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26368,plain,
% 83.63/53.20 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26369,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26368])).
% 83.63/53.20 tff(26370,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26369, 26367])).
% 83.63/53.20 tff(26371,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26372,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26371, 26370])).
% 83.63/53.20 tff(26373,plain,
% 83.63/53.20 (v110(constB154) | (~v108(constB153))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26372, 288, 26366])).
% 83.63/53.20 tff(26374,plain,
% 83.63/53.20 (v110(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26373, 26363])).
% 83.63/53.20 tff(26375,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26376,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26377,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26376, 26375])).
% 83.63/53.20 tff(26378,plain,
% 83.63/53.20 (~v104(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26377, 306, 26366, 26215])).
% 83.63/53.20 tff(26379,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26380,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26381,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26380, 26379])).
% 83.63/53.20 tff(26382,plain,
% 83.63/53.20 (v102(constB154) | v104(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26381, 320, 26366])).
% 83.63/53.20 tff(26383,plain,
% 83.63/53.20 (v102(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26382, 26378])).
% 83.63/53.20 tff(26384,plain,
% 83.63/53.20 (v1(constB154) <=> v1(constB154)),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26385,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 83.63/53.20 tff(26386,plain,
% 83.63/53.20 (v1(constB154)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26385, 26384])).
% 83.63/53.20 tff(26387,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26388,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26389,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26388, 26387])).
% 83.63/53.20 tff(26390,plain,
% 83.63/53.20 (v101(constB154) | (~v102(constB154))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26389, 338, 26366, 26386])).
% 83.63/53.20 tff(26391,plain,
% 83.63/53.20 (v101(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26390, 26383])).
% 83.63/53.20 tff(26392,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26393,plain,
% 83.63/53.20 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26394,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26393])).
% 83.63/53.20 tff(26395,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26394, 26392])).
% 83.63/53.20 tff(26396,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26397,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 83.63/53.20 tff(26398,plain,
% 83.63/53.20 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26397, 353, 26366])).
% 83.63/53.20 tff(26399,plain,
% 83.63/53.20 (v100(constB154) | (~v110(constB154))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26398, 26391])).
% 83.63/53.20 tff(26400,plain,
% 83.63/53.20 (v100(constB154)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26399, 26374])).
% 83.63/53.20 tff(26401,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26402,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26403,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26402, 26401])).
% 83.63/53.20 tff(26404,plain,
% 83.63/53.20 (v130(constB153, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26403, 1664, 26319])).
% 83.63/53.20 tff(26405,assumption,(v26(constB153)), introduced(assumption)).
% 83.63/53.20 tff(26406,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26407,plain,
% 83.63/53.20 ($false),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26406, 19, 26405])).
% 83.63/53.20 tff(26408,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.20 tff(26409,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26410,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26411,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26410, 26409])).
% 83.63/53.20 tff(26412,plain,
% 83.63/53.20 ((~v130(constB153, 0)) | v127(constB153, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26411, 478, 26408])).
% 83.63/53.20 tff(26413,plain,
% 83.63/53.20 (v127(constB153, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26412, 26404])).
% 83.63/53.20 tff(26414,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26415,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26416,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26415, 26414])).
% 83.63/53.20 tff(26417,plain,
% 83.63/53.20 ((~v127(constB153, 0)) | v129(constB154, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26416, 493, 26366])).
% 83.63/53.20 tff(26418,plain,
% 83.63/53.20 (v129(constB154, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26417, 26413])).
% 83.63/53.20 tff(26419,plain,
% 83.63/53.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26420,plain,
% 83.63/53.20 ((v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0))) <=> (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26421,plain,
% 83.63/53.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26420])).
% 83.63/53.20 tff(26422,plain,
% 83.63/53.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26421, 26419])).
% 83.63/53.20 tff(26423,plain,
% 83.63/53.20 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26424,plain,
% 83.63/53.20 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26423, 26422])).
% 83.63/53.20 tff(26425,plain,
% 83.63/53.20 (v90(constB154, 0) | (~v100(constB154))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26424, 508, 26418])).
% 83.63/53.20 tff(26426,plain,
% 83.63/53.20 (v90(constB154, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26425, 26400])).
% 83.63/53.20 tff(26427,plain,
% 83.63/53.20 ((~v1(constB155)) <=> (~v1(constB155))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26428,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 83.63/53.20 tff(26429,plain,
% 83.63/53.20 (~v1(constB155)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 83.63/53.20 tff(26430,plain,
% 83.63/53.20 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26431,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 83.63/53.20 tff(26432,plain,
% 83.63/53.20 (nextState(constB154, constB155)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26431, 26430])).
% 83.63/53.20 tff(26433,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26434,plain,
% 83.63/53.20 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26435,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26434])).
% 83.63/53.20 tff(26436,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26435, 26433])).
% 83.63/53.20 tff(26437,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26438,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26437, 26436])).
% 83.63/53.20 tff(26439,plain,
% 83.63/53.20 (~v101(constB155)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26438, 66, 26432, 26429])).
% 83.63/53.20 tff(26440,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26441,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26442,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 83.63/53.20 tff(26443,plain,
% 83.63/53.20 (v101(constB155) | (~v100(constB155))),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26442, 83, 26432])).
% 83.63/53.20 tff(26444,plain,
% 83.63/53.20 (~v100(constB155)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26443, 26439])).
% 83.63/53.20 tff(26445,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26446,plain,
% 83.63/53.20 (((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)) <=> ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26447,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)))),
% 83.63/53.20 inference(monotonicity,[status(thm)],[26446])).
% 83.63/53.20 tff(26448,plain,
% 83.63/53.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 83.63/53.20 inference(transitivity,[status(thm)],[26447, 26445])).
% 83.63/53.20 tff(26449,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26450,plain,
% 83.63/53.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26449, 26448])).
% 83.63/53.20 tff(26451,plain,
% 83.63/53.20 ((~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26450, 526, 26432])).
% 83.63/53.20 tff(26452,plain,
% 83.63/53.20 ((~v90(constB154, 0)) | v90(constB155, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26451, 26444])).
% 83.63/53.20 tff(26453,plain,
% 83.63/53.20 (v90(constB155, 0)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26452, 26426])).
% 83.63/53.20 tff(26454,plain,
% 83.63/53.20 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1)))),
% 83.63/53.20 inference(rewrite,[status(thm)],[])).
% 83.63/53.20 tff(26455,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))),
% 83.63/53.20 inference(quant_inst,[status(thm)],[])).
% 83.63/53.20 tff(26456,plain,
% 83.63/53.20 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1))),
% 83.63/53.20 inference(modus_ponens,[status(thm)],[26455, 26454])).
% 83.63/53.20 tff(26457,plain,
% 83.63/53.20 (~v130(constB153, 1)),
% 83.63/53.20 inference(unit_resolution,[status(thm)],[26456, 1623, 26319])).
% 83.63/53.21 tff(26458,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26459,plain,
% 83.63/53.21 ((v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1))) <=> ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26460,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26459])).
% 83.63/53.21 tff(26461,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26460, 26458])).
% 83.63/53.21 tff(26462,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26463,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 83.63/53.21 tff(26464,plain,
% 83.63/53.21 ((~v127(constB153, 1)) | v130(constB153, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26463, 383, 26408])).
% 83.63/53.21 tff(26465,plain,
% 83.63/53.21 (~v127(constB153, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26464, 26457])).
% 83.63/53.21 tff(26466,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26467,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26468,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 83.63/53.21 tff(26469,plain,
% 83.63/53.21 (v127(constB153, 1) | (~v129(constB154, 1))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26468, 401, 26366])).
% 83.63/53.21 tff(26470,plain,
% 83.63/53.21 (~v129(constB154, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26469, 26465])).
% 83.63/53.21 tff(26471,plain,
% 83.63/53.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26472,plain,
% 83.63/53.21 (((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1)) <=> ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26473,plain,
% 83.63/53.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26472])).
% 83.63/53.21 tff(26474,plain,
% 83.63/53.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26473, 26471])).
% 83.63/53.21 tff(26475,plain,
% 83.63/53.21 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26476,plain,
% 83.63/53.21 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26475, 26474])).
% 83.63/53.21 tff(26477,plain,
% 83.63/53.21 ((~v90(constB154, 1)) | (~v100(constB154))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26476, 416, 26470])).
% 83.63/53.21 tff(26478,plain,
% 83.63/53.21 (~v90(constB154, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26477, 26400])).
% 83.63/53.21 tff(26479,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26480,plain,
% 83.63/53.21 (((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))) <=> (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26481,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26480])).
% 83.63/53.21 tff(26482,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26481, 26479])).
% 83.63/53.21 tff(26483,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26484,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26483, 26482])).
% 83.63/53.21 tff(26485,plain,
% 83.63/53.21 (v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26484, 119, 26432])).
% 83.63/53.21 tff(26486,plain,
% 83.63/53.21 (v90(constB154, 1) | (~v90(constB155, 1))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26485, 26444])).
% 83.63/53.21 tff(26487,plain,
% 83.63/53.21 (~v90(constB155, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26486, 26478])).
% 83.63/53.21 tff(26488,plain,
% 83.63/53.21 (~v130(constB149, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[25975, 1052, 26023])).
% 83.63/53.21 tff(26489,plain,
% 83.63/53.21 (~v127(constB149, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[25983, 26488])).
% 83.63/53.21 tff(26490,plain,
% 83.63/53.21 (~v129(constB150, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[25988, 26489])).
% 83.63/53.21 tff(26491,plain,
% 83.63/53.21 ((~v90(constB150, 2)) | (~v100(constB150))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[25992, 589, 26490])).
% 83.63/53.21 tff(26492,plain,
% 83.63/53.21 (~v90(constB150, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26491, 26032])).
% 83.63/53.21 tff(26493,plain,
% 83.63/53.21 (~v90(constB151, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26020, 26492])).
% 83.63/53.21 tff(26494,plain,
% 83.63/53.21 (v122(constB151)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26101, 26493, 26023])).
% 83.63/53.21 tff(26495,plain,
% 83.63/53.21 (v130(constB151, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26105, 1198, 26494])).
% 83.63/53.21 tff(26496,plain,
% 83.63/53.21 (v116(constB151)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26112, 1257, 26494])).
% 83.63/53.21 tff(26497,plain,
% 83.63/53.21 (v115(constB151)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26119, 214, 26496])).
% 83.63/53.21 tff(26498,plain,
% 83.63/53.21 (v114(constB151)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26126, 228, 26497])).
% 83.63/53.21 tff(26499,plain,
% 83.63/53.21 (v113(constB151)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26133, 242, 26498])).
% 83.63/53.21 tff(26500,plain,
% 83.63/53.21 (v90(constB152, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26211, 26499, 26495])).
% 83.63/53.21 tff(26501,plain,
% 83.63/53.21 (v90(constB153, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26238, 26500])).
% 83.63/53.21 tff(26502,plain,
% 83.63/53.21 (v100(constB152)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26246, 26500, 26493])).
% 83.63/53.21 tff(26503,plain,
% 83.63/53.21 (~v130(constB151, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26250, 1390, 26494])).
% 83.63/53.21 tff(26504,plain,
% 83.63/53.21 (~v127(constB151, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26258, 26503])).
% 83.63/53.21 tff(26505,plain,
% 83.63/53.21 (~v129(constB152, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26263, 26504])).
% 83.63/53.21 tff(26506,plain,
% 83.63/53.21 ((~v90(constB152, 1)) | (~v100(constB152))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26270, 416, 26505])).
% 83.63/53.21 tff(26507,plain,
% 83.63/53.21 (~v90(constB152, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26506, 26502])).
% 83.63/53.21 tff(26508,plain,
% 83.63/53.21 (~v90(constB153, 1)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26280, 26507])).
% 83.63/53.21 tff(26509,plain,
% 83.63/53.21 (~v130(constB151, 0)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26284, 1431, 26494])).
% 83.63/53.21 tff(26510,plain,
% 83.63/53.21 (~v127(constB151, 0)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26292, 26509])).
% 83.63/53.21 tff(26511,plain,
% 83.63/53.21 (~v129(constB152, 0)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26297, 26510])).
% 83.63/53.21 tff(26512,plain,
% 83.63/53.21 ((~v90(constB152, 0)) | (~v100(constB152))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26304, 929, 26511])).
% 83.63/53.21 tff(26513,plain,
% 83.63/53.21 (~v90(constB152, 0)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26512, 26502])).
% 83.63/53.21 tff(26514,plain,
% 83.63/53.21 (~v90(constB153, 0)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26314, 26513])).
% 83.63/53.21 tff(26515,plain,
% 83.63/53.21 (v123(constB153)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26318, 1475, 26514, 26508, 26501])).
% 83.63/53.21 tff(26516,assumption,(~v90(constB154, 2)), introduced(assumption)).
% 83.63/53.21 tff(26517,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26518,plain,
% 83.63/53.21 (((~nextState(constB153, constB154)) | (~v90(constB153, 2)) | v100(constB154) | v90(constB154, 2)) <=> ((~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26519,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, 2)) | v100(constB154) | v90(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2)))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26518])).
% 83.63/53.21 tff(26520,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, 2)) | v100(constB154) | v90(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26519, 26517])).
% 83.63/53.21 tff(26521,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v90(constB153, 2)) | v100(constB154) | v90(constB154, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26522,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB153, 2)) | (~nextState(constB153, constB154)) | v100(constB154) | v90(constB154, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 83.63/53.21 tff(26523,plain,
% 83.63/53.21 ((~v90(constB153, 2)) | v100(constB154) | v90(constB154, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26522, 1374, 26366])).
% 83.63/53.21 tff(26524,plain,
% 83.63/53.21 (v100(constB154)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26523, 26501, 26516])).
% 83.63/53.21 tff(26525,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26526,plain,
% 83.63/53.21 ((v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2))) <=> (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26527,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26526])).
% 83.63/53.21 tff(26528,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26527, 26525])).
% 83.63/53.21 tff(26529,plain,
% 83.63/53.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26530,plain,
% 83.63/53.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 83.63/53.21 tff(26531,plain,
% 83.63/53.21 ((~v129(constB154, 2)) | (~v100(constB154))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26530, 1338, 26516])).
% 83.63/53.21 tff(26532,plain,
% 83.63/53.21 (~v129(constB154, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26531, 26524])).
% 83.63/53.21 tff(26533,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26534,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26535,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26534, 26533])).
% 83.63/53.21 tff(26536,plain,
% 83.63/53.21 ((~v127(constB153, 2)) | v129(constB154, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26535, 1230, 26366])).
% 83.63/53.21 tff(26537,plain,
% 83.63/53.21 (~v127(constB153, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26536, 26532])).
% 83.63/53.21 tff(26538,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26539,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26540,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26539, 26538])).
% 83.63/53.21 tff(26541,plain,
% 83.63/53.21 ((~v130(constB153, 2)) | v127(constB153, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26540, 1212, 26408])).
% 83.63/53.21 tff(26542,plain,
% 83.63/53.21 (~v130(constB153, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26541, 26537])).
% 83.63/53.21 tff(26543,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26544,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26545,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 83.63/53.21 tff(26546,plain,
% 83.63/53.21 ($false),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26545, 1567, 26542, 26515])).
% 83.63/53.21 tff(26547,plain,((~v121(constB149)) | v90(constB154, 2)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.21 tff(26548,plain,
% 83.63/53.21 (v90(constB154, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26547, 25884])).
% 83.63/53.21 tff(26549,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26550,plain,
% 83.63/53.21 (((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)) <=> ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26551,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26550])).
% 83.63/53.21 tff(26552,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26551, 26549])).
% 83.63/53.21 tff(26553,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26554,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 83.63/53.21 tff(26555,plain,
% 83.63/53.21 ((~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26554, 1374, 26432])).
% 83.63/53.21 tff(26556,plain,
% 83.63/53.21 ((~v90(constB154, 2)) | v90(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26555, 26444])).
% 83.63/53.21 tff(26557,plain,
% 83.63/53.21 (v90(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26556, 26548])).
% 83.63/53.21 tff(26558,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26559,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26560,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 83.63/53.21 tff(26561,plain,
% 83.63/53.21 ((~v90(constB155, 0)) | v90(constB155, 1) | v124(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26560, 1705, 26557])).
% 83.63/53.21 tff(26562,plain,
% 83.63/53.21 (v124(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26561, 26487, 26453])).
% 83.63/53.21 tff(26563,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB155)) | v114(constB155))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26564,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26565,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB155)) | v114(constB155)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26564, 26563])).
% 83.63/53.21 tff(26566,plain,
% 83.63/53.21 (v114(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26565, 1741, 26562])).
% 83.63/53.21 tff(26567,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26568,plain,
% 83.63/53.21 (((~v114(constB155)) | v113(constB155)) <=> (v113(constB155) | (~v114(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26569,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26568])).
% 83.63/53.21 tff(26570,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26569, 26567])).
% 83.63/53.21 tff(26571,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26572,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26571, 26570])).
% 83.63/53.21 tff(26573,plain,
% 83.63/53.21 (v113(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26572, 242, 26566])).
% 83.63/53.21 tff(26574,assumption,(v26(constB155)), introduced(assumption)).
% 83.63/53.21 tff(26575,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26576,plain,
% 83.63/53.21 ($false),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26575, 19, 26574])).
% 83.63/53.21 tff(26577,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.21 tff(26578,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26579,plain,
% 83.63/53.21 ((v26(constB155) | (~v113(constB155)) | v112(constB155)) <=> (v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26580,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | v112(constB155) | (~v113(constB155))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26579])).
% 83.63/53.21 tff(26581,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26580, 26578])).
% 83.63/53.21 tff(26582,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26583,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | v112(constB155) | (~v113(constB155))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26582, 26581])).
% 83.63/53.21 tff(26584,plain,
% 83.63/53.21 (v112(constB155) | (~v113(constB155))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26583, 256, 26577])).
% 83.63/53.21 tff(26585,plain,
% 83.63/53.21 (v112(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26584, 26573])).
% 83.63/53.21 tff(26586,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26587,plain,
% 83.63/53.21 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26588,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26587])).
% 83.63/53.21 tff(26589,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26588, 26586])).
% 83.63/53.21 tff(26590,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26591,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 83.63/53.21 tff(26592,plain,
% 83.63/53.21 (v108(constB155)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26591, 268, 26585])).
% 83.63/53.21 tff(26593,plain,
% 83.63/53.21 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26594,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 83.63/53.21 tff(26595,plain,
% 83.63/53.21 (nextState(constB155, constB156)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26594, 26593])).
% 83.63/53.21 tff(26596,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26597,plain,
% 83.63/53.21 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26598,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26597])).
% 83.63/53.21 tff(26599,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26598, 26596])).
% 83.63/53.21 tff(26600,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26601,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26600, 26599])).
% 83.63/53.21 tff(26602,plain,
% 83.63/53.21 (v110(constB156) | (~v108(constB155))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26601, 288, 26595])).
% 83.63/53.21 tff(26603,plain,
% 83.63/53.21 (v110(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26602, 26592])).
% 83.63/53.21 tff(26604,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26605,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26606,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26605, 26604])).
% 83.63/53.21 tff(26607,plain,
% 83.63/53.21 (~v104(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26606, 306, 26595, 26429])).
% 83.63/53.21 tff(26608,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26609,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26610,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 83.63/53.21 tff(26611,plain,
% 83.63/53.21 (v102(constB156) | v104(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26610, 320, 26595])).
% 83.63/53.21 tff(26612,plain,
% 83.63/53.21 (v102(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26611, 26607])).
% 83.63/53.21 tff(26613,plain,
% 83.63/53.21 (v1(constB156) <=> v1(constB156)),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26614,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 83.63/53.21 tff(26615,plain,
% 83.63/53.21 (v1(constB156)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26614, 26613])).
% 83.63/53.21 tff(26616,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26617,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26618,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 83.63/53.21 tff(26619,plain,
% 83.63/53.21 (v101(constB156) | (~v102(constB156))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26618, 338, 26595, 26615])).
% 83.63/53.21 tff(26620,plain,
% 83.63/53.21 (v101(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26619, 26612])).
% 83.63/53.21 tff(26621,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26622,plain,
% 83.63/53.21 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26623,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26622])).
% 83.63/53.21 tff(26624,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26623, 26621])).
% 83.63/53.21 tff(26625,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26626,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 83.63/53.21 tff(26627,plain,
% 83.63/53.21 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26626, 353, 26595])).
% 83.63/53.21 tff(26628,plain,
% 83.63/53.21 (v100(constB156) | (~v110(constB156))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26627, 26620])).
% 83.63/53.21 tff(26629,plain,
% 83.63/53.21 (v100(constB156)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26628, 26603])).
% 83.63/53.21 tff(26630,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26631,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26632,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26631, 26630])).
% 83.63/53.21 tff(26633,plain,
% 83.63/53.21 (v130(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26632, 1716, 26562])).
% 83.63/53.21 tff(26634,plain,
% 83.63/53.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26635,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26636,plain,
% 83.63/53.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 83.63/53.21 tff(26637,plain,
% 83.63/53.21 ((~v130(constB155, 2)) | v127(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26636, 1212, 26577])).
% 83.63/53.21 tff(26638,plain,
% 83.63/53.21 (v127(constB155, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26637, 26633])).
% 83.63/53.21 tff(26639,plain,
% 83.63/53.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26640,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26641,plain,
% 83.63/53.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26640, 26639])).
% 83.63/53.21 tff(26642,plain,
% 83.63/53.21 ((~v127(constB155, 2)) | v129(constB156, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26641, 1230, 26595])).
% 83.63/53.21 tff(26643,plain,
% 83.63/53.21 (v129(constB156, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26642, 26638])).
% 83.63/53.21 tff(26644,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26645,plain,
% 83.63/53.21 ((v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2))) <=> (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26646,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))))),
% 83.63/53.21 inference(monotonicity,[status(thm)],[26645])).
% 83.63/53.21 tff(26647,plain,
% 83.63/53.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 83.63/53.21 inference(transitivity,[status(thm)],[26646, 26644])).
% 83.63/53.21 tff(26648,plain,
% 83.63/53.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))),
% 83.63/53.21 inference(quant_inst,[status(thm)],[])).
% 83.63/53.21 tff(26649,plain,
% 83.63/53.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 83.63/53.21 tff(26650,plain,
% 83.63/53.21 (v90(constB156, 2) | (~v100(constB156))),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26649, 1338, 26643])).
% 83.63/53.21 tff(26651,plain,
% 83.63/53.21 (v90(constB156, 2)),
% 83.63/53.21 inference(unit_resolution,[status(thm)],[26650, 26629])).
% 83.63/53.21 tff(26652,plain,
% 83.63/53.21 ((~v1(constB157)) <=> (~v1(constB157))),
% 83.63/53.21 inference(rewrite,[status(thm)],[])).
% 83.63/53.21 tff(26653,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 83.63/53.21 tff(26654,plain,
% 83.63/53.21 (~v1(constB157)),
% 83.63/53.21 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 83.63/53.21 tff(26655,plain,
% 83.63/53.22 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26656,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 83.63/53.22 tff(26657,plain,
% 83.63/53.22 (nextState(constB156, constB157)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 83.63/53.22 tff(26658,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26659,plain,
% 83.63/53.22 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26660,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26659])).
% 83.63/53.22 tff(26661,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26660, 26658])).
% 83.63/53.22 tff(26662,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26663,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 83.63/53.22 tff(26664,plain,
% 83.63/53.22 (~v101(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26663, 66, 26657, 26654])).
% 83.63/53.22 tff(26665,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26666,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26667,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 83.63/53.22 tff(26668,plain,
% 83.63/53.22 (v101(constB157) | (~v100(constB157))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26667, 83, 26657])).
% 83.63/53.22 tff(26669,plain,
% 83.63/53.22 (~v100(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26668, 26664])).
% 83.63/53.22 tff(26670,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26671,plain,
% 83.63/53.22 (((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)) <=> ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26672,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26671])).
% 83.63/53.22 tff(26673,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26672, 26670])).
% 83.63/53.22 tff(26674,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26675,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 83.63/53.22 tff(26676,plain,
% 83.63/53.22 ((~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26675, 1374, 26657])).
% 83.63/53.22 tff(26677,plain,
% 83.63/53.22 ((~v90(constB156, 2)) | v90(constB157, 2)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26676, 26669])).
% 83.63/53.22 tff(26678,plain,
% 83.63/53.22 (v90(constB157, 2)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26677, 26651])).
% 83.63/53.22 tff(26679,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26680,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26681,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 83.63/53.22 tff(26682,plain,
% 83.63/53.22 (v130(constB155, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26681, 1767, 26562])).
% 83.63/53.22 tff(26683,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26684,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26685,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 83.63/53.22 tff(26686,plain,
% 83.63/53.22 ((~v130(constB155, 1)) | v127(constB155, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26685, 818, 26577])).
% 83.63/53.22 tff(26687,plain,
% 83.63/53.22 (v127(constB155, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26686, 26682])).
% 83.63/53.22 tff(26688,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26689,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26690,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 83.63/53.22 tff(26691,plain,
% 83.63/53.22 ((~v127(constB155, 1)) | v129(constB156, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26690, 833, 26595])).
% 83.63/53.22 tff(26692,plain,
% 83.63/53.22 (v129(constB156, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26691, 26687])).
% 83.63/53.22 tff(26693,plain,
% 83.63/53.22 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26694,plain,
% 83.63/53.22 ((v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1))) <=> (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26695,plain,
% 83.63/53.22 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26694])).
% 83.63/53.22 tff(26696,plain,
% 83.63/53.22 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26695, 26693])).
% 83.63/53.22 tff(26697,plain,
% 83.63/53.22 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26698,plain,
% 83.63/53.22 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 83.63/53.22 tff(26699,plain,
% 83.63/53.22 (v90(constB156, 1) | (~v100(constB156))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26698, 848, 26692])).
% 83.63/53.22 tff(26700,plain,
% 83.63/53.22 (v90(constB156, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26699, 26629])).
% 83.63/53.22 tff(26701,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26702,plain,
% 83.63/53.22 (((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)) <=> ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26703,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26702])).
% 83.63/53.22 tff(26704,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26703, 26701])).
% 83.63/53.22 tff(26705,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26706,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 83.63/53.22 tff(26707,plain,
% 83.63/53.22 ((~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26706, 866, 26657])).
% 83.63/53.22 tff(26708,plain,
% 83.63/53.22 ((~v90(constB156, 1)) | v90(constB157, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26707, 26669])).
% 83.63/53.22 tff(26709,plain,
% 83.63/53.22 (v90(constB157, 1)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26708, 26700])).
% 83.63/53.22 tff(26710,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26711,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26712,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 83.63/53.22 tff(26713,plain,
% 83.63/53.22 (~v130(constB155, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26712, 1882, 26562])).
% 83.63/53.22 tff(26714,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26715,plain,
% 83.63/53.22 ((v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0))) <=> ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26716,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26715])).
% 83.63/53.22 tff(26717,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26716, 26714])).
% 83.63/53.22 tff(26718,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26719,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 83.63/53.22 tff(26720,plain,
% 83.63/53.22 ((~v127(constB155, 0)) | v130(constB155, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26719, 896, 26577])).
% 83.63/53.22 tff(26721,plain,
% 83.63/53.22 (~v127(constB155, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26720, 26713])).
% 83.63/53.22 tff(26722,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26723,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26724,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 83.63/53.22 tff(26725,plain,
% 83.63/53.22 (v127(constB155, 0) | (~v129(constB156, 0))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26724, 914, 26595])).
% 83.63/53.22 tff(26726,plain,
% 83.63/53.22 (~v129(constB156, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26725, 26721])).
% 83.63/53.22 tff(26727,plain,
% 83.63/53.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26728,plain,
% 83.63/53.22 (((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0)) <=> ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26729,plain,
% 83.63/53.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26728])).
% 83.63/53.22 tff(26730,plain,
% 83.63/53.22 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26729, 26727])).
% 83.63/53.22 tff(26731,plain,
% 83.63/53.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26732,plain,
% 83.63/53.22 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26731, 26730])).
% 83.63/53.22 tff(26733,plain,
% 83.63/53.22 ((~v90(constB156, 0)) | (~v100(constB156))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26732, 929, 26726])).
% 83.63/53.22 tff(26734,plain,
% 83.63/53.22 (~v90(constB156, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26733, 26629])).
% 83.63/53.22 tff(26735,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26736,plain,
% 83.63/53.22 (((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))) <=> (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26737,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26736])).
% 83.63/53.22 tff(26738,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26737, 26735])).
% 83.63/53.22 tff(26739,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26740,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26739, 26738])).
% 83.63/53.22 tff(26741,plain,
% 83.63/53.22 (v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26740, 140, 26657])).
% 83.63/53.22 tff(26742,plain,
% 83.63/53.22 (v90(constB156, 0) | (~v90(constB157, 0))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26741, 26669])).
% 83.63/53.22 tff(26743,plain,
% 83.63/53.22 (~v90(constB157, 0)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26742, 26734])).
% 83.63/53.22 tff(26744,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26745,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26746,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26745, 26744])).
% 83.63/53.22 tff(26747,plain,
% 83.63/53.22 (v125(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26746, 1934, 26743, 26709, 26678])).
% 83.63/53.22 tff(26748,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26749,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26750,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB157)) | v113(constB157)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26749, 26748])).
% 83.63/53.22 tff(26751,plain,
% 83.63/53.22 (v113(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26750, 1946, 26747])).
% 83.63/53.22 tff(26752,assumption,(v26(constB157)), introduced(assumption)).
% 83.63/53.22 tff(26753,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26754,plain,
% 83.63/53.22 ($false),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26753, 19, 26752])).
% 83.63/53.22 tff(26755,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.22 tff(26756,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26757,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26758,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | (~v113(constB157)) | v112(constB157)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26757, 26756])).
% 83.63/53.22 tff(26759,plain,
% 83.63/53.22 ((~v113(constB157)) | v112(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26758, 256, 26755])).
% 83.63/53.22 tff(26760,plain,
% 83.63/53.22 (v112(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26759, 26751])).
% 83.63/53.22 tff(26761,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26762,plain,
% 83.63/53.22 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26763,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26762])).
% 83.63/53.22 tff(26764,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26763, 26761])).
% 83.63/53.22 tff(26765,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26766,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26765, 26764])).
% 83.63/53.22 tff(26767,plain,
% 83.63/53.22 (v108(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26766, 268, 26760])).
% 83.63/53.22 tff(26768,plain,
% 83.63/53.22 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26769,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 83.63/53.22 tff(26770,plain,
% 83.63/53.22 (nextState(constB157, constB158)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26769, 26768])).
% 83.63/53.22 tff(26771,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26772,plain,
% 83.63/53.22 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26773,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26772])).
% 83.63/53.22 tff(26774,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26773, 26771])).
% 83.63/53.22 tff(26775,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26776,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26775, 26774])).
% 83.63/53.22 tff(26777,plain,
% 83.63/53.22 (v110(constB158) | (~v108(constB157))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26776, 288, 26770])).
% 83.63/53.22 tff(26778,plain,
% 83.63/53.22 (v110(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26777, 26767])).
% 83.63/53.22 tff(26779,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26780,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26781,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26780, 26779])).
% 83.63/53.22 tff(26782,plain,
% 83.63/53.22 (~v104(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26781, 306, 26770, 26654])).
% 83.63/53.22 tff(26783,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26784,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26785,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 83.63/53.22 tff(26786,plain,
% 83.63/53.22 (v102(constB158) | v104(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26785, 320, 26770])).
% 83.63/53.22 tff(26787,plain,
% 83.63/53.22 (v102(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26786, 26782])).
% 83.63/53.22 tff(26788,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26789,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26790,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26789, 26788])).
% 83.63/53.22 tff(26791,plain,
% 83.63/53.22 (v101(constB158) | (~v102(constB158))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26790, 338, 26770, 24068])).
% 83.63/53.22 tff(26792,plain,
% 83.63/53.22 (v101(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26791, 26787])).
% 83.63/53.22 tff(26793,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26794,plain,
% 83.63/53.22 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26795,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 83.63/53.22 inference(monotonicity,[status(thm)],[26794])).
% 83.63/53.22 tff(26796,plain,
% 83.63/53.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 83.63/53.22 inference(transitivity,[status(thm)],[26795, 26793])).
% 83.63/53.22 tff(26797,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26798,plain,
% 83.63/53.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 83.63/53.22 tff(26799,plain,
% 83.63/53.22 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26798, 353, 26770])).
% 83.63/53.22 tff(26800,plain,
% 83.63/53.22 (v100(constB158) | (~v110(constB158))),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26799, 26792])).
% 83.63/53.22 tff(26801,plain,
% 83.63/53.22 (v100(constB158)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26800, 26778])).
% 83.63/53.22 tff(26802,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26803,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26804,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26803, 26802])).
% 83.63/53.22 tff(26805,plain,
% 83.63/53.22 (~v122(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26804, 2006, 26678])).
% 83.63/53.22 tff(26806,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26807,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26808,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26807, 26806])).
% 83.63/53.22 tff(26809,plain,
% 83.63/53.22 (~v124(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26808, 2061, 26709])).
% 83.63/53.22 tff(26810,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26811,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26812,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26811, 26810])).
% 83.63/53.22 tff(26813,plain,
% 83.63/53.22 (~v120(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26812, 2039, 26709])).
% 83.63/53.22 tff(26814,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26815,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26816,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26815, 26814])).
% 83.63/53.22 tff(26817,plain,
% 83.63/53.22 (~v119(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26816, 2028, 26709])).
% 83.63/53.22 tff(26818,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26819,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26820,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26819, 26818])).
% 83.63/53.22 tff(26821,plain,
% 83.63/53.22 (~v121(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26820, 2017, 26678])).
% 83.63/53.22 tff(26822,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26823,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26824,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26823, 26822])).
% 83.63/53.22 tff(26825,plain,
% 83.63/53.22 (~v123(constB157)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26824, 2050, 26709])).
% 83.63/53.22 tff(26826,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26827,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 83.63/53.22 inference(quant_inst,[status(thm)],[])).
% 83.63/53.22 tff(26828,plain,
% 83.63/53.22 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2))),
% 83.63/53.22 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 83.63/53.22 tff(26829,plain,
% 83.63/53.22 (~v130(constB157, 2)),
% 83.63/53.22 inference(unit_resolution,[status(thm)],[26828, 2075, 26825, 26821, 26817, 26813, 26809, 26805])).
% 83.63/53.22 tff(26830,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26831,plain,
% 83.63/53.22 ((v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2))) <=> ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 83.63/53.22 inference(rewrite,[status(thm)],[])).
% 83.63/53.22 tff(26832,plain,
% 83.63/53.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26831])).
% 83.63/53.23 tff(26833,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26832, 26830])).
% 83.63/53.23 tff(26834,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26835,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26834, 26833])).
% 83.63/53.23 tff(26836,plain,
% 83.63/53.23 ((~v127(constB157, 2)) | v130(constB157, 2)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26835, 556, 26755])).
% 83.63/53.23 tff(26837,plain,
% 83.63/53.23 (~v127(constB157, 2)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26836, 26829])).
% 83.63/53.23 tff(26838,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26839,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26840,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 83.63/53.23 tff(26841,plain,
% 83.63/53.23 (v127(constB157, 2) | (~v129(constB158, 2))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26840, 574, 26770])).
% 83.63/53.23 tff(26842,plain,
% 83.63/53.23 (~v129(constB158, 2)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26841, 26837])).
% 83.63/53.23 tff(26843,plain,
% 83.63/53.23 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26844,plain,
% 83.63/53.23 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26845,plain,
% 83.63/53.23 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26844, 26843])).
% 83.63/53.23 tff(26846,plain,
% 83.63/53.23 ((~v90(constB158, 2)) | (~v100(constB158))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26845, 589, 26842])).
% 83.63/53.23 tff(26847,plain,
% 83.63/53.23 (~v90(constB158, 2)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26846, 26801])).
% 83.63/53.23 tff(26848,plain,
% 83.63/53.23 ((~v1(constB159)) <=> (~v1(constB159))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26849,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 83.63/53.23 tff(26850,plain,
% 83.63/53.23 (~v1(constB159)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26849, 26848])).
% 83.63/53.23 tff(26851,plain,
% 83.63/53.23 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26852,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 83.63/53.23 tff(26853,plain,
% 83.63/53.23 (nextState(constB158, constB159)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26852, 26851])).
% 83.63/53.23 tff(26854,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26855,plain,
% 83.63/53.23 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26856,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26855])).
% 83.63/53.23 tff(26857,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26856, 26854])).
% 83.63/53.23 tff(26858,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26859,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 83.63/53.23 tff(26860,plain,
% 83.63/53.23 (~v101(constB159)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26859, 66, 26853, 26850])).
% 83.63/53.23 tff(26861,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26862,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26863,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 83.63/53.23 tff(26864,plain,
% 83.63/53.23 (v101(constB159) | (~v100(constB159))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26863, 83, 26853])).
% 83.63/53.23 tff(26865,plain,
% 83.63/53.23 (~v100(constB159)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26864, 26860])).
% 83.63/53.23 tff(26866,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26867,plain,
% 83.63/53.23 (((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))) <=> (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26868,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26867])).
% 83.63/53.23 tff(26869,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26868, 26866])).
% 83.63/53.23 tff(26870,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26871,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26870, 26869])).
% 83.63/53.23 tff(26872,plain,
% 83.63/53.23 (v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26871, 98, 26853])).
% 83.63/53.23 tff(26873,plain,
% 83.63/53.23 (v90(constB158, 2) | (~v90(constB159, 2))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26872, 26865])).
% 83.63/53.23 tff(26874,plain,
% 83.63/53.23 (~v90(constB159, 2)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26873, 26847])).
% 83.63/53.23 tff(26875,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26876,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26877,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26876, 26875])).
% 83.63/53.23 tff(26878,plain,
% 83.63/53.23 (~v130(constB157, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26877, 2135, 26825, 26821, 26817, 26813, 26809, 26805])).
% 83.63/53.23 tff(26879,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26880,plain,
% 83.63/53.23 ((v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1))) <=> ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26881,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26880])).
% 83.63/53.23 tff(26882,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26881, 26879])).
% 83.63/53.23 tff(26883,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26884,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 83.63/53.23 tff(26885,plain,
% 83.63/53.23 ((~v127(constB157, 1)) | v130(constB157, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26884, 383, 26755])).
% 83.63/53.23 tff(26886,plain,
% 83.63/53.23 (~v127(constB157, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26885, 26878])).
% 83.63/53.23 tff(26887,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26888,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26889,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 83.63/53.23 tff(26890,plain,
% 83.63/53.23 (v127(constB157, 1) | (~v129(constB158, 1))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26889, 401, 26770])).
% 83.63/53.23 tff(26891,plain,
% 83.63/53.23 (~v129(constB158, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26890, 26886])).
% 83.63/53.23 tff(26892,plain,
% 83.63/53.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26893,plain,
% 83.63/53.23 (((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1)) <=> ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26894,plain,
% 83.63/53.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26893])).
% 83.63/53.23 tff(26895,plain,
% 83.63/53.23 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26894, 26892])).
% 83.63/53.23 tff(26896,plain,
% 83.63/53.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26897,plain,
% 83.63/53.23 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26896, 26895])).
% 83.63/53.23 tff(26898,plain,
% 83.63/53.23 ((~v90(constB158, 1)) | (~v100(constB158))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26897, 416, 26891])).
% 83.63/53.23 tff(26899,plain,
% 83.63/53.23 (~v90(constB158, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26898, 26801])).
% 83.63/53.23 tff(26900,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26901,plain,
% 83.63/53.23 (((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))) <=> (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26902,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26901])).
% 83.63/53.23 tff(26903,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26902, 26900])).
% 83.63/53.23 tff(26904,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26905,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26904, 26903])).
% 83.63/53.23 tff(26906,plain,
% 83.63/53.23 (v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26905, 119, 26853])).
% 83.63/53.23 tff(26907,plain,
% 83.63/53.23 (v90(constB158, 1) | (~v90(constB159, 1))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26906, 26865])).
% 83.63/53.23 tff(26908,plain,
% 83.63/53.23 (~v90(constB159, 1)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26907, 26899])).
% 83.63/53.23 tff(26909,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26910,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26911,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26910, 26909])).
% 83.63/53.23 tff(26912,plain,
% 83.63/53.23 (v130(constB157, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26911, 2180, 26825, 26821, 26817, 26813, 26809, 26805])).
% 83.63/53.23 tff(26913,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26914,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26915,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 83.63/53.23 tff(26916,plain,
% 83.63/53.23 ((~v130(constB157, 0)) | v127(constB157, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26915, 478, 26755])).
% 83.63/53.23 tff(26917,plain,
% 83.63/53.23 (v127(constB157, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26916, 26912])).
% 83.63/53.23 tff(26918,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26919,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26920,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26919, 26918])).
% 83.63/53.23 tff(26921,plain,
% 83.63/53.23 ((~v127(constB157, 0)) | v129(constB158, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26920, 493, 26770])).
% 83.63/53.23 tff(26922,plain,
% 83.63/53.23 (v129(constB158, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26921, 26917])).
% 83.63/53.23 tff(26923,plain,
% 83.63/53.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26924,plain,
% 83.63/53.23 ((v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0))) <=> (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26925,plain,
% 83.63/53.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26924])).
% 83.63/53.23 tff(26926,plain,
% 83.63/53.23 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26925, 26923])).
% 83.63/53.23 tff(26927,plain,
% 83.63/53.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26928,plain,
% 83.63/53.23 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26927, 26926])).
% 83.63/53.23 tff(26929,plain,
% 83.63/53.23 (v90(constB158, 0) | (~v100(constB158))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26928, 508, 26922])).
% 83.63/53.23 tff(26930,plain,
% 83.63/53.23 (v90(constB158, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26929, 26801])).
% 83.63/53.23 tff(26931,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26932,plain,
% 83.63/53.23 (((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)) <=> ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26933,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26932])).
% 83.63/53.23 tff(26934,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26933, 26931])).
% 83.63/53.23 tff(26935,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26936,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26935, 26934])).
% 83.63/53.23 tff(26937,plain,
% 83.63/53.23 ((~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26936, 526, 26853])).
% 83.63/53.23 tff(26938,plain,
% 83.63/53.23 ((~v90(constB158, 0)) | v90(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26937, 26865])).
% 83.63/53.23 tff(26939,plain,
% 83.63/53.23 (v90(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26938, 26930])).
% 83.63/53.23 tff(26940,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26941,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26942,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26941, 26940])).
% 83.63/53.23 tff(26943,plain,
% 83.63/53.23 (v120(constB159)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26942, 614, 26939, 26908, 26874])).
% 83.63/53.23 tff(26944,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26945,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26946,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26945, 26944])).
% 83.63/53.23 tff(26947,plain,
% 83.63/53.23 (~v130(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26946, 882, 26943])).
% 83.63/53.23 tff(26948,assumption,(v26(constB159)), introduced(assumption)).
% 83.63/53.23 tff(26949,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26950,plain,
% 83.63/53.23 ($false),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26949, 19, 26948])).
% 83.63/53.23 tff(26951,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.23 tff(26952,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26953,plain,
% 83.63/53.23 ((v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0))) <=> ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26954,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26953])).
% 83.63/53.23 tff(26955,plain,
% 83.63/53.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26954, 26952])).
% 83.63/53.23 tff(26956,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26957,plain,
% 83.63/53.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26956, 26955])).
% 83.63/53.23 tff(26958,plain,
% 83.63/53.23 ((~v127(constB159, 0)) | v130(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26957, 896, 26951])).
% 83.63/53.23 tff(26959,plain,
% 83.63/53.23 (~v127(constB159, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26958, 26947])).
% 83.63/53.23 tff(26960,plain,
% 83.63/53.23 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26961,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 83.63/53.23 tff(26962,plain,
% 83.63/53.23 (nextState(constB159, constB160)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 83.63/53.23 tff(26963,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26964,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26965,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26964, 26963])).
% 83.63/53.23 tff(26966,plain,
% 83.63/53.23 (v127(constB159, 0) | (~v129(constB160, 0))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26965, 914, 26962])).
% 83.63/53.23 tff(26967,plain,
% 83.63/53.23 (~v129(constB160, 0)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26966, 26959])).
% 83.63/53.23 tff(26968,assumption,(~v100(constB160)), introduced(assumption)).
% 83.63/53.23 tff(26969,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26970,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26971,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 83.63/53.23 tff(26972,plain,
% 83.63/53.23 (~v104(constB160)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26971, 306, 26962, 26850])).
% 83.63/53.23 tff(26973,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26974,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26975,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 83.63/53.23 tff(26976,plain,
% 83.63/53.23 (v102(constB160) | v104(constB160)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26975, 320, 26962])).
% 83.63/53.23 tff(26977,plain,
% 83.63/53.23 (v102(constB160)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26976, 26972])).
% 83.63/53.23 tff(26978,plain,
% 83.63/53.23 (v1(constB160) <=> v1(constB160)),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26979,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 83.63/53.23 tff(26980,plain,
% 83.63/53.23 (v1(constB160)),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 83.63/53.23 tff(26981,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26982,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26983,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 83.63/53.23 tff(26984,plain,
% 83.63/53.23 (v101(constB160) | (~v102(constB160))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26983, 338, 26962, 26980])).
% 83.63/53.23 tff(26985,plain,
% 83.63/53.23 (v101(constB160)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26984, 26977])).
% 83.63/53.23 tff(26986,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26987,plain,
% 83.63/53.23 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26988,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 83.63/53.23 inference(monotonicity,[status(thm)],[26987])).
% 83.63/53.23 tff(26989,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 83.63/53.23 inference(transitivity,[status(thm)],[26988, 26986])).
% 83.63/53.23 tff(26990,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 83.63/53.23 inference(quant_inst,[status(thm)],[])).
% 83.63/53.23 tff(26991,plain,
% 83.63/53.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 83.63/53.23 inference(modus_ponens,[status(thm)],[26990, 26989])).
% 83.63/53.23 tff(26992,plain,
% 83.63/53.23 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26991, 353, 26962])).
% 83.63/53.23 tff(26993,plain,
% 83.63/53.23 (v100(constB160) | (~v110(constB160))),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26992, 26985])).
% 83.63/53.23 tff(26994,plain,
% 83.63/53.23 (~v110(constB160)),
% 83.63/53.23 inference(unit_resolution,[status(thm)],[26993, 26968])).
% 83.63/53.23 tff(26995,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26996,plain,
% 83.63/53.23 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 83.63/53.23 inference(rewrite,[status(thm)],[])).
% 83.63/53.23 tff(26997,plain,
% 83.63/53.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[26996])).
% 83.63/53.24 tff(26998,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[26997, 26995])).
% 83.63/53.24 tff(26999,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27000,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 83.63/53.24 tff(27001,plain,
% 83.63/53.24 (v110(constB160) | (~v108(constB159))),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27000, 288, 26962])).
% 83.63/53.24 tff(27002,plain,
% 83.63/53.24 (~v108(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27001, 26994])).
% 83.63/53.24 tff(27003,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27004,plain,
% 83.63/53.24 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27005,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27004])).
% 83.63/53.24 tff(27006,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27005, 27003])).
% 83.63/53.24 tff(27007,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27008,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27007, 27006])).
% 83.63/53.24 tff(27009,plain,
% 83.63/53.24 (~v112(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27008, 268, 27002])).
% 83.63/53.24 tff(27010,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27011,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27012,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27011, 27010])).
% 83.63/53.24 tff(27013,plain,
% 83.63/53.24 ((~v113(constB159)) | v112(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27012, 256, 26951])).
% 83.63/53.24 tff(27014,plain,
% 83.63/53.24 (~v113(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27013, 27009])).
% 83.63/53.24 tff(27015,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27016,plain,
% 83.63/53.24 (((~v114(constB159)) | v113(constB159)) <=> (v113(constB159) | (~v114(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27017,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB159) | (~v114(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27016])).
% 83.63/53.24 tff(27018,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27017, 27015])).
% 83.63/53.24 tff(27019,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27020,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB159) | (~v114(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 83.63/53.24 tff(27021,plain,
% 83.63/53.24 (~v114(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27020, 242, 27014])).
% 83.63/53.24 tff(27022,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27023,plain,
% 83.63/53.24 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27024,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27023])).
% 83.63/53.24 tff(27025,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27024, 27022])).
% 83.63/53.24 tff(27026,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27027,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27026, 27025])).
% 83.63/53.24 tff(27028,plain,
% 83.63/53.24 (~v115(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27027, 228, 27021])).
% 83.63/53.24 tff(27029,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v123(constB159)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v123(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27030,plain,
% 83.63/53.24 (((~v123(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v123(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27031,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v123(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27030])).
% 83.63/53.24 tff(27032,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v123(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27031, 27029])).
% 83.63/53.24 tff(27033,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB159)) | v115(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27034,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v123(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27033, 27032])).
% 83.63/53.24 tff(27035,plain,
% 83.63/53.24 (~v123(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27034, 1486, 27028])).
% 83.63/53.24 tff(27036,assumption,(~v90(constB159, 1)), introduced(assumption)).
% 83.63/53.24 tff(27037,assumption,(~v90(constB160, 2)), introduced(assumption)).
% 83.63/53.24 tff(27038,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB159)) | v115(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27039,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27040,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB159)) | v115(constB159)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27039, 27038])).
% 83.63/53.24 tff(27041,plain,
% 83.63/53.24 (~v116(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27040, 214, 27028])).
% 83.63/53.24 tff(27042,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27043,plain,
% 83.63/53.24 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27044,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27043])).
% 83.63/53.24 tff(27045,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27044, 27042])).
% 83.63/53.24 tff(27046,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27047,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27046, 27045])).
% 83.63/53.24 tff(27048,plain,
% 83.63/53.24 (~v117(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27047, 200, 27041])).
% 83.63/53.24 tff(27049,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27050,plain,
% 83.63/53.24 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27051,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27050])).
% 83.63/53.24 tff(27052,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27051, 27049])).
% 83.63/53.24 tff(27053,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27054,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 83.63/53.24 tff(27055,plain,
% 83.63/53.24 (~v118(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27054, 186, 27048])).
% 83.63/53.24 tff(27056,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27057,plain,
% 83.63/53.24 (((~v120(constB159)) | v118(constB159)) <=> (v118(constB159) | (~v120(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27058,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v120(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27057])).
% 83.63/53.24 tff(27059,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27058, 27056])).
% 83.63/53.24 tff(27060,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27061,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v120(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27060, 27059])).
% 83.63/53.24 tff(27062,plain,
% 83.63/53.24 (~v120(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27061, 628, 27055])).
% 83.63/53.24 tff(27063,assumption,(v90(constB160, 0)), introduced(assumption)).
% 83.63/53.24 tff(27064,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27065,plain,
% 83.63/53.24 (((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0))) <=> (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27066,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27065])).
% 83.63/53.24 tff(27067,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27066, 27064])).
% 83.63/53.24 tff(27068,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27069,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 83.63/53.24 tff(27070,plain,
% 83.63/53.24 (v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0))),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27069, 140, 26962])).
% 83.63/53.24 tff(27071,plain,
% 83.63/53.24 (v90(constB159, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27070, 26968, 27063])).
% 83.63/53.24 tff(27072,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27073,plain,
% 83.63/53.24 (((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2)) <=> ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27074,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2)))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27073])).
% 83.63/53.24 tff(27075,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27074, 27072])).
% 83.63/53.24 tff(27076,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27077,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 83.63/53.24 tff(27078,plain,
% 83.63/53.24 ((~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27077, 1374, 26962])).
% 83.63/53.24 tff(27079,plain,
% 83.63/53.24 (~v90(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27078, 26968, 27037])).
% 83.63/53.24 tff(27080,assumption,(~v120(constB159)), introduced(assumption)).
% 83.63/53.24 tff(27081,plain,
% 83.63/53.24 ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[26942, 614, 27080])).
% 83.63/53.24 tff(27082,plain,
% 83.63/53.24 ($false),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27081, 27079, 27071, 27036])).
% 83.63/53.24 tff(27083,plain,(v100(constB160) | v90(constB159, 1) | v120(constB159) | v90(constB160, 2) | (~v90(constB160, 0))), inference(lemma,lemma(discharge,[]))).
% 83.63/53.24 tff(27084,plain,
% 83.63/53.24 (~v90(constB160, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27083, 27037, 26968, 27062, 27036])).
% 83.63/53.24 tff(27085,assumption,(~v90(constB160, 0)), introduced(assumption)).
% 83.63/53.24 tff(27086,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27087,plain,
% 83.63/53.24 (((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)) <=> ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27088,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27087])).
% 83.63/53.24 tff(27089,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27088, 27086])).
% 83.63/53.24 tff(27090,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27091,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 83.63/53.24 tff(27092,plain,
% 83.63/53.24 ((~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27091, 526, 26962])).
% 83.63/53.24 tff(27093,plain,
% 83.63/53.24 (~v90(constB159, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27092, 26968, 27085])).
% 83.63/53.24 tff(27094,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27095,plain,
% 83.63/53.24 ((v90(constB159, 0) | v119(constB159) | v90(constB159, 1) | v90(constB159, 2)) <=> (v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27096,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB159, 0) | v119(constB159) | v90(constB159, 1) | v90(constB159, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159)))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27095])).
% 83.63/53.24 tff(27097,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB159, 0) | v119(constB159) | v90(constB159, 1) | v90(constB159, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27096, 27094])).
% 83.63/53.24 tff(27098,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB159, 0) | v119(constB159) | v90(constB159, 1) | v90(constB159, 2))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27099,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB159, 0) | v90(constB159, 1) | v90(constB159, 2) | v119(constB159)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27098, 27097])).
% 83.63/53.24 tff(27100,plain,
% 83.63/53.24 (v90(constB159, 0) | v90(constB159, 2) | v119(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27099, 161, 27036])).
% 83.63/53.24 tff(27101,plain,
% 83.63/53.24 (v119(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27100, 27093, 27079])).
% 83.63/53.24 tff(27102,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v119(constB159)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v119(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27103,plain,
% 83.63/53.24 (((~v119(constB159)) | v118(constB159)) <=> (v118(constB159) | (~v119(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27104,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB159) | (~v119(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27103])).
% 83.63/53.24 tff(27105,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v119(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27104, 27102])).
% 83.63/53.24 tff(27106,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB159)) | v118(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27107,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB159) | (~v119(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27106, 27105])).
% 83.63/53.24 tff(27108,plain,
% 83.63/53.24 (v118(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27107, 175, 27101])).
% 83.63/53.24 tff(27109,plain,
% 83.63/53.24 (v117(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27054, 186, 27108])).
% 83.63/53.24 tff(27110,plain,
% 83.63/53.24 (v116(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27047, 200, 27109])).
% 83.63/53.24 tff(27111,plain,
% 83.63/53.24 (v115(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27040, 214, 27110])).
% 83.63/53.24 tff(27112,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27113,plain,
% 83.63/53.24 (((~v26(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v26(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27114,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v26(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27113])).
% 83.63/53.24 tff(27115,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27114, 27112])).
% 83.63/53.24 tff(27116,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB159)) | v108(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27117,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v26(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 83.63/53.24 tff(27118,plain,
% 83.63/53.24 (~v26(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27117, 685, 27002])).
% 83.63/53.24 tff(27119,plain,
% 83.63/53.24 (~v113(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27012, 256, 27118, 27009])).
% 83.63/53.24 tff(27120,plain,
% 83.63/53.24 (~v114(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27020, 242, 27119])).
% 83.63/53.24 tff(27121,plain,
% 83.63/53.24 ($false),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27027, 228, 27120, 27111])).
% 83.63/53.24 tff(27122,plain,(v100(constB160) | v90(constB159, 1) | v90(constB160, 0) | v90(constB160, 2)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.24 tff(27123,plain,
% 83.63/53.24 ($false),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27122, 27084, 27037, 27036, 26968])).
% 83.63/53.24 tff(27124,plain,(v90(constB160, 2) | v90(constB159, 1) | v100(constB160)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.24 tff(27125,plain,
% 83.63/53.24 (v90(constB160, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27124, 26968, 27036])).
% 83.63/53.24 tff(27126,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27127,plain,
% 83.63/53.24 (((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2))) <=> (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27128,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27127])).
% 83.63/53.24 tff(27129,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27128, 27126])).
% 83.63/53.24 tff(27130,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27131,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 83.63/53.24 tff(27132,plain,
% 83.63/53.24 (v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2))),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27131, 98, 26962])).
% 83.63/53.24 tff(27133,plain,
% 83.63/53.24 (v90(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27132, 27125, 26968])).
% 83.63/53.24 tff(27134,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27135,plain,
% 83.63/53.24 (((~v124(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v124(constB159)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27136,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v124(constB159))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27135])).
% 83.63/53.24 tff(27137,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27136, 27134])).
% 83.63/53.24 tff(27138,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27139,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v124(constB159))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 83.63/53.24 tff(27140,plain,
% 83.63/53.24 (~v124(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27139, 1741, 27021])).
% 83.63/53.24 tff(27141,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | (~v90(constB159, 2)) | v124(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | (~v90(constB159, 2)) | v124(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27142,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | (~v90(constB159, 2)) | v124(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27143,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | (~v90(constB159, 2)) | v124(constB159)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 83.63/53.24 tff(27144,plain,
% 83.63/53.24 ((~v90(constB159, 0)) | (~v90(constB159, 2)) | v124(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27143, 1705, 27036])).
% 83.63/53.24 tff(27145,plain,
% 83.63/53.24 (~v90(constB159, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27144, 27133, 27140])).
% 83.63/53.24 tff(27146,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB159, 0) | v90(constB159, 1) | (~v90(constB159, 2)) | v123(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB159, 0) | v90(constB159, 1) | (~v90(constB159, 2)) | v123(constB159))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27147,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB159, 0) | v90(constB159, 1) | (~v90(constB159, 2)) | v123(constB159))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27148,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB159, 0) | v90(constB159, 1) | (~v90(constB159, 2)) | v123(constB159)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27147, 27146])).
% 83.63/53.24 tff(27149,plain,
% 83.63/53.24 (v90(constB159, 0) | (~v90(constB159, 2)) | v123(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27148, 1475, 27036])).
% 83.63/53.24 tff(27150,plain,
% 83.63/53.24 ($false),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27149, 27145, 27133, 27035])).
% 83.63/53.24 tff(27151,plain,(v100(constB160) | v90(constB159, 1)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.24 tff(27152,plain,
% 83.63/53.24 (v100(constB160)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27151, 26908])).
% 83.63/53.24 tff(27153,plain,
% 83.63/53.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27154,plain,
% 83.63/53.24 (((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0)) <=> ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27155,plain,
% 83.63/53.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27154])).
% 83.63/53.24 tff(27156,plain,
% 83.63/53.24 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27155, 27153])).
% 83.63/53.24 tff(27157,plain,
% 83.63/53.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27158,plain,
% 83.63/53.24 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 83.63/53.24 tff(27159,plain,
% 83.63/53.24 ((~v90(constB160, 0)) | v129(constB160, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27158, 929, 27152])).
% 83.63/53.24 tff(27160,plain,
% 83.63/53.24 (~v90(constB160, 0)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27159, 26967])).
% 83.63/53.24 tff(27161,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27162,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27163,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 83.63/53.24 tff(27164,plain,
% 83.63/53.24 (~v130(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27163, 744, 26943])).
% 83.63/53.24 tff(27165,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27166,plain,
% 83.63/53.24 ((v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2))) <=> ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27167,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)))),
% 83.63/53.24 inference(monotonicity,[status(thm)],[27166])).
% 83.63/53.24 tff(27168,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 83.63/53.24 inference(transitivity,[status(thm)],[27167, 27165])).
% 83.63/53.24 tff(27169,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27170,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 83.63/53.24 tff(27171,plain,
% 83.63/53.24 ((~v127(constB159, 2)) | v130(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27170, 556, 26951])).
% 83.63/53.24 tff(27172,plain,
% 83.63/53.24 (~v127(constB159, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27171, 27164])).
% 83.63/53.24 tff(27173,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB159)) | v90(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB159)) | v90(constB159, 1))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27174,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB159)) | v90(constB159, 1))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27175,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB159)) | v90(constB159, 1)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 83.63/53.24 tff(27176,plain,
% 83.63/53.24 (~v122(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27175, 5876, 26908])).
% 83.63/53.24 tff(27177,plain,
% 83.63/53.24 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 0))))),
% 83.63/53.24 inference(bind,[status(th)],[])).
% 83.63/53.24 tff(27178,plain,
% 83.63/53.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 83.63/53.24 inference(quant_intro,[status(thm)],[27177])).
% 83.63/53.24 tff(27179,plain,
% 83.63/53.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27180,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 83.63/53.24 tff(27181,plain,
% 83.63/53.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 83.63/53.24 tff(27182,plain,(
% 83.63/53.24 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 83.63/53.24 inference(skolemize,[status(sab)],[27181])).
% 83.63/53.24 tff(27183,plain,
% 83.63/53.24 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27182, 27178])).
% 83.63/53.24 tff(27184,plain,
% 83.63/53.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB159)) | (~v90(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB159)) | (~v90(constB159, 0)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27185,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB159)) | (~v90(constB159, 0)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27186,plain,
% 83.63/53.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB159)) | (~v90(constB159, 0))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27185, 27184])).
% 83.63/53.24 tff(27187,plain,
% 83.63/53.24 (~v121(constB159)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27186, 27183, 26939])).
% 83.63/53.24 tff(27188,plain,
% 83.63/53.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27189,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27190,plain,
% 83.63/53.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27189, 27188])).
% 83.63/53.24 tff(27191,plain,
% 83.63/53.24 (v127(constB159, 2) | (~v129(constB160, 2))),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27190, 574, 26962])).
% 83.63/53.24 tff(27192,plain,
% 83.63/53.24 (~v129(constB160, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27191, 27172])).
% 83.63/53.24 tff(27193,plain,
% 83.63/53.24 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27194,plain,
% 83.63/53.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 83.63/53.24 inference(quant_inst,[status(thm)],[])).
% 83.63/53.24 tff(27195,plain,
% 83.63/53.24 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160))),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 83.63/53.24 tff(27196,plain,
% 83.63/53.24 ((~v90(constB160, 2)) | v129(constB160, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27195, 589, 27152])).
% 83.63/53.24 tff(27197,plain,
% 83.63/53.24 (~v90(constB160, 2)),
% 83.63/53.24 inference(unit_resolution,[status(thm)],[27196, 27192])).
% 83.63/53.24 tff(27198,plain,
% 83.63/53.24 ((~v1(constB161)) <=> (~v1(constB161))),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27199,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 83.63/53.24 tff(27200,plain,
% 83.63/53.24 (~v1(constB161)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27199, 27198])).
% 83.63/53.24 tff(27201,plain,
% 83.63/53.24 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 83.63/53.24 inference(rewrite,[status(thm)],[])).
% 83.63/53.24 tff(27202,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 83.63/53.24 tff(27203,plain,
% 83.63/53.24 (nextState(constB160, constB161)),
% 83.63/53.24 inference(modus_ponens,[status(thm)],[27202, 27201])).
% 83.63/53.25 tff(27204,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27205,plain,
% 83.63/53.25 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27206,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27205])).
% 83.63/53.25 tff(27207,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27206, 27204])).
% 83.63/53.25 tff(27208,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27209,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 83.63/53.25 tff(27210,plain,
% 83.63/53.25 (~v101(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27209, 66, 27203, 27200])).
% 83.63/53.25 tff(27211,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27212,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27213,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27212, 27211])).
% 83.63/53.25 tff(27214,plain,
% 83.63/53.25 (v101(constB161) | (~v100(constB161))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27213, 83, 27203])).
% 83.63/53.25 tff(27215,plain,
% 83.63/53.25 (~v100(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27214, 27210])).
% 83.63/53.25 tff(27216,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27217,plain,
% 83.63/53.25 (((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))) <=> (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27218,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27217])).
% 83.63/53.25 tff(27219,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27218, 27216])).
% 83.63/53.25 tff(27220,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27221,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27220, 27219])).
% 83.63/53.25 tff(27222,plain,
% 83.63/53.25 (v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27221, 98, 27203])).
% 83.63/53.25 tff(27223,plain,
% 83.63/53.25 (v90(constB160, 2) | (~v90(constB161, 2))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27222, 27215])).
% 83.63/53.25 tff(27224,plain,
% 83.63/53.25 (~v90(constB161, 2)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27223, 27197])).
% 83.63/53.25 tff(27225,assumption,(~v122(constB159)), introduced(assumption)).
% 83.63/53.25 tff(27226,assumption,(~v127(constB159, 2)), introduced(assumption)).
% 83.63/53.25 tff(27227,assumption,(~v121(constB159)), introduced(assumption)).
% 83.63/53.25 tff(27228,assumption,(v100(constB160)), introduced(assumption)).
% 83.63/53.25 tff(27229,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27230,plain,
% 83.63/53.25 ((v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0))) <=> (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27231,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27230])).
% 83.63/53.25 tff(27232,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27231, 27229])).
% 83.63/53.25 tff(27233,plain,
% 83.63/53.25 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27234,plain,
% 83.63/53.25 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27233, 27232])).
% 83.63/53.25 tff(27235,plain,
% 83.63/53.25 (v90(constB160, 0) | (~v129(constB160, 0))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27234, 508, 27228])).
% 83.63/53.25 tff(27236,plain,
% 83.63/53.25 (~v129(constB160, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27235, 27085])).
% 83.63/53.25 tff(27237,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27238,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27239,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27238, 27237])).
% 83.63/53.25 tff(27240,plain,
% 83.63/53.25 ((~v127(constB159, 0)) | v129(constB160, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27239, 493, 26962])).
% 83.63/53.25 tff(27241,plain,
% 83.63/53.25 (~v127(constB159, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27240, 27236])).
% 83.63/53.25 tff(27242,assumption,(~v26(constB159)), introduced(assumption)).
% 83.63/53.25 tff(27243,assumption,(~v127(constB159, 0)), introduced(assumption)).
% 83.63/53.25 tff(27244,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27245,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27246,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27245, 27244])).
% 83.63/53.25 tff(27247,plain,
% 83.63/53.25 (v26(constB159) | (~v130(constB159, 0))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27246, 478, 27243])).
% 83.63/53.25 tff(27248,plain,
% 83.63/53.25 (~v130(constB159, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27247, 27242])).
% 83.63/53.25 tff(27249,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27250,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27251,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27250, 27249])).
% 83.63/53.25 tff(27252,plain,
% 83.63/53.25 (v26(constB159) | (~v130(constB159, 2))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27251, 1212, 27226])).
% 83.63/53.25 tff(27253,plain,
% 83.63/53.25 (~v130(constB159, 2)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27252, 27242])).
% 83.63/53.25 tff(27254,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB159)) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB159)) | v130(constB159, 2))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27255,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB159)) | v130(constB159, 2))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27256,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB159)) | v130(constB159, 2)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27255, 27254])).
% 83.63/53.25 tff(27257,plain,
% 83.63/53.25 (~v124(constB159)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27256, 1716, 27253])).
% 83.63/53.25 tff(27258,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB159)) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB159)) | v130(constB159, 2))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27259,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB159)) | v130(constB159, 2))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27260,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB159)) | v130(constB159, 2)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27259, 27258])).
% 83.63/53.25 tff(27261,plain,
% 83.63/53.25 (~v123(constB159)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27260, 1567, 27253])).
% 83.63/53.25 tff(27262,assumption,(~v127(constB159, 1)), introduced(assumption)).
% 83.63/53.25 tff(27263,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27264,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27265,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 83.63/53.25 tff(27266,plain,
% 83.63/53.25 (v26(constB159) | (~v130(constB159, 1))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27265, 818, 27262])).
% 83.63/53.25 tff(27267,plain,
% 83.63/53.25 (~v130(constB159, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27266, 27242])).
% 83.63/53.25 tff(27268,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27269,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27270,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27269, 27268])).
% 83.63/53.25 tff(27271,plain,
% 83.63/53.25 (~v120(constB159)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27270, 804, 27267])).
% 83.63/53.25 tff(27272,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27273,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27274,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27273, 27272])).
% 83.63/53.25 tff(27275,plain,
% 83.63/53.25 (~v119(constB159)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27274, 464, 27248])).
% 83.63/53.25 tff(27276,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27277,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27278,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27277, 27276])).
% 83.63/53.25 tff(27279,plain,
% 83.63/53.25 (v119(constB159) | v120(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27278, 2180, 27225, 27227])).
% 83.63/53.25 tff(27280,plain,
% 83.63/53.25 ($false),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27279, 27275, 27271, 27261, 27257, 27248])).
% 83.63/53.25 tff(27281,plain,(v26(constB159) | v122(constB159) | v121(constB159) | v127(constB159, 0) | v127(constB159, 1) | v127(constB159, 2)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.25 tff(27282,plain,
% 83.63/53.25 (v127(constB159, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27281, 27241, 26951, 27227, 27226, 27225])).
% 83.63/53.25 tff(27283,assumption,(~v121(constB161)), introduced(assumption)).
% 83.63/53.25 tff(27284,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27285,plain,
% 83.63/53.25 (((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))) <=> (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27286,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27285])).
% 83.63/53.25 tff(27287,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27286, 27284])).
% 83.63/53.25 tff(27288,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27289,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 83.63/53.25 tff(27290,plain,
% 83.63/53.25 (v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27289, 140, 27203])).
% 83.63/53.25 tff(27291,plain,
% 83.63/53.25 (v90(constB160, 0) | (~v90(constB161, 0))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27290, 27215])).
% 83.63/53.25 tff(27292,plain,
% 83.63/53.25 (~v90(constB161, 0)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27291, 27085])).
% 83.63/53.25 tff(27293,assumption,(~v90(constB161, 2)), introduced(assumption)).
% 83.63/53.25 tff(27294,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27295,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27296,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 83.63/53.25 tff(27297,plain,
% 83.63/53.25 (v90(constB161, 0) | (~v90(constB161, 1)) | v121(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27296, 956, 27293])).
% 83.63/53.25 tff(27298,plain,
% 83.63/53.25 (~v90(constB161, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27297, 27292, 27283])).
% 83.63/53.25 tff(27299,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27300,plain,
% 83.63/53.25 (((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)) <=> ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27301,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27300])).
% 83.63/53.25 tff(27302,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27301, 27299])).
% 83.63/53.25 tff(27303,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27304,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27303, 27302])).
% 83.63/53.25 tff(27305,plain,
% 83.63/53.25 ((~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27304, 866, 27203])).
% 83.63/53.25 tff(27306,plain,
% 83.63/53.25 ((~v90(constB160, 1)) | v90(constB161, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27305, 27215])).
% 83.63/53.25 tff(27307,plain,
% 83.63/53.25 (~v90(constB160, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27306, 27298])).
% 83.63/53.25 tff(27308,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27309,plain,
% 83.63/53.25 ((v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1))) <=> (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27310,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27309])).
% 83.63/53.25 tff(27311,plain,
% 83.63/53.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27310, 27308])).
% 83.63/53.25 tff(27312,plain,
% 83.63/53.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27313,plain,
% 83.63/53.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 83.63/53.25 tff(27314,plain,
% 83.63/53.25 (v90(constB160, 1) | (~v129(constB160, 1))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27313, 848, 27228])).
% 83.63/53.25 tff(27315,plain,
% 83.63/53.25 (~v129(constB160, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27314, 27307])).
% 83.63/53.25 tff(27316,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27317,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27318,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 83.63/53.25 tff(27319,plain,
% 83.63/53.25 ((~v127(constB159, 1)) | v129(constB160, 1)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27318, 833, 26962])).
% 83.63/53.25 tff(27320,plain,
% 83.63/53.25 ($false),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27319, 27315, 27282])).
% 83.63/53.25 tff(27321,plain,(v90(constB160, 0) | (~v100(constB160)) | v121(constB159) | v127(constB159, 2) | v122(constB159) | v121(constB161) | v90(constB161, 2)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.25 tff(27322,plain,
% 83.63/53.25 (v121(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27321, 27224, 27152, 27187, 27176, 27172, 27160])).
% 83.63/53.25 tff(27323,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27324,plain,
% 83.63/53.25 (((~v121(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v121(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27325,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27324])).
% 83.63/53.25 tff(27326,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27325, 27323])).
% 83.63/53.25 tff(27327,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27328,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 83.63/53.25 tff(27329,plain,
% 83.63/53.25 (v117(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27328, 967, 27322])).
% 83.63/53.25 tff(27330,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27331,plain,
% 83.63/53.25 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27332,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27331])).
% 83.63/53.25 tff(27333,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27332, 27330])).
% 83.63/53.25 tff(27334,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27335,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27334, 27333])).
% 83.63/53.25 tff(27336,plain,
% 83.63/53.25 (v116(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27335, 200, 27329])).
% 83.63/53.25 tff(27337,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB161)) | v115(constB161))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27338,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27339,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB161)) | v115(constB161)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27338, 27337])).
% 83.63/53.25 tff(27340,plain,
% 83.63/53.25 (v115(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27339, 214, 27336])).
% 83.63/53.25 tff(27341,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27342,plain,
% 83.63/53.25 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27343,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27342])).
% 83.63/53.25 tff(27344,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27343, 27341])).
% 83.63/53.25 tff(27345,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27346,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27345, 27344])).
% 83.63/53.25 tff(27347,plain,
% 83.63/53.25 (v114(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27346, 228, 27340])).
% 83.63/53.25 tff(27348,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB161)) | v113(constB161))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27349,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27350,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB161)) | v113(constB161)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27349, 27348])).
% 83.63/53.25 tff(27351,plain,
% 83.63/53.25 (v113(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27350, 242, 27347])).
% 83.63/53.25 tff(27352,assumption,(v26(constB161)), introduced(assumption)).
% 83.63/53.25 tff(27353,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27354,plain,
% 83.63/53.25 ($false),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27353, 19, 27352])).
% 83.63/53.25 tff(27355,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.25 tff(27356,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27357,plain,
% 83.63/53.25 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27358,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27357])).
% 83.63/53.25 tff(27359,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27358, 27356])).
% 83.63/53.25 tff(27360,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27361,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27360, 27359])).
% 83.63/53.25 tff(27362,plain,
% 83.63/53.25 (v112(constB161) | (~v113(constB161))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27361, 256, 27355])).
% 83.63/53.25 tff(27363,plain,
% 83.63/53.25 (v112(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27362, 27351])).
% 83.63/53.25 tff(27364,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27365,plain,
% 83.63/53.25 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27366,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27365])).
% 83.63/53.25 tff(27367,plain,
% 83.63/53.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27366, 27364])).
% 83.63/53.25 tff(27368,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27369,plain,
% 83.63/53.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 83.63/53.25 tff(27370,plain,
% 83.63/53.25 (v108(constB161)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27369, 268, 27363])).
% 83.63/53.25 tff(27371,plain,
% 83.63/53.25 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27372,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 83.63/53.25 tff(27373,plain,
% 83.63/53.25 (nextState(constB161, constB162)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27372, 27371])).
% 83.63/53.25 tff(27374,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27375,plain,
% 83.63/53.25 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27376,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 83.63/53.25 inference(monotonicity,[status(thm)],[27375])).
% 83.63/53.25 tff(27377,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 83.63/53.25 inference(transitivity,[status(thm)],[27376, 27374])).
% 83.63/53.25 tff(27378,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27379,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27378, 27377])).
% 83.63/53.25 tff(27380,plain,
% 83.63/53.25 (v110(constB162) | (~v108(constB161))),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27379, 288, 27373])).
% 83.63/53.25 tff(27381,plain,
% 83.63/53.25 (v110(constB162)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27380, 27370])).
% 83.63/53.25 tff(27382,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27383,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27384,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27383, 27382])).
% 83.63/53.25 tff(27385,plain,
% 83.63/53.25 (~v104(constB162)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27384, 306, 27373, 27200])).
% 83.63/53.25 tff(27386,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27387,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 83.63/53.25 inference(quant_inst,[status(thm)],[])).
% 83.63/53.25 tff(27388,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27387, 27386])).
% 83.63/53.25 tff(27389,plain,
% 83.63/53.25 (v102(constB162) | v104(constB162)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27388, 320, 27373])).
% 83.63/53.25 tff(27390,plain,
% 83.63/53.25 (v102(constB162)),
% 83.63/53.25 inference(unit_resolution,[status(thm)],[27389, 27385])).
% 83.63/53.25 tff(27391,plain,
% 83.63/53.25 (v1(constB162) <=> v1(constB162)),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27392,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 83.63/53.25 tff(27393,plain,
% 83.63/53.25 (v1(constB162)),
% 83.63/53.25 inference(modus_ponens,[status(thm)],[27392, 27391])).
% 83.63/53.25 tff(27394,plain,
% 83.63/53.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 83.63/53.25 inference(rewrite,[status(thm)],[])).
% 83.63/53.25 tff(27395,plain,
% 83.63/53.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27396,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27395, 27394])).
% 83.63/53.26 tff(27397,plain,
% 83.63/53.26 (v101(constB162) | (~v102(constB162))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27396, 338, 27373, 27393])).
% 83.63/53.26 tff(27398,plain,
% 83.63/53.26 (v101(constB162)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27397, 27390])).
% 83.63/53.26 tff(27399,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27400,plain,
% 83.63/53.26 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27401,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27400])).
% 83.63/53.26 tff(27402,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27401, 27399])).
% 83.63/53.26 tff(27403,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27404,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27403, 27402])).
% 83.63/53.26 tff(27405,plain,
% 83.63/53.26 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27404, 353, 27373])).
% 83.63/53.26 tff(27406,plain,
% 83.63/53.26 (v100(constB162) | (~v110(constB162))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27405, 27398])).
% 83.63/53.26 tff(27407,plain,
% 83.63/53.26 (v100(constB162)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27406, 27381])).
% 83.63/53.26 tff(27408,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27409,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27410,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27409, 27408])).
% 83.63/53.26 tff(27411,plain,
% 83.63/53.26 (~v130(constB161, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27410, 1052, 27322])).
% 83.63/53.26 tff(27412,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27413,plain,
% 83.63/53.26 ((v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2))) <=> ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27414,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27413])).
% 83.63/53.26 tff(27415,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27414, 27412])).
% 83.63/53.26 tff(27416,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27417,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27416, 27415])).
% 83.63/53.26 tff(27418,plain,
% 83.63/53.26 ((~v127(constB161, 2)) | v130(constB161, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27417, 556, 27355])).
% 83.63/53.26 tff(27419,plain,
% 83.63/53.26 (~v127(constB161, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27418, 27411])).
% 83.63/53.26 tff(27420,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27421,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27422,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27421, 27420])).
% 83.63/53.26 tff(27423,plain,
% 83.63/53.26 (v127(constB161, 2) | (~v129(constB162, 2))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27422, 574, 27373])).
% 83.63/53.26 tff(27424,plain,
% 83.63/53.26 (~v129(constB162, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27423, 27419])).
% 83.63/53.26 tff(27425,plain,
% 83.63/53.26 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27426,plain,
% 83.63/53.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27427,plain,
% 83.63/53.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27426, 27425])).
% 83.63/53.26 tff(27428,plain,
% 83.63/53.26 ((~v90(constB162, 2)) | (~v100(constB162))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27427, 589, 27424])).
% 83.63/53.26 tff(27429,plain,
% 83.63/53.26 (~v90(constB162, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27428, 27407])).
% 83.63/53.26 tff(27430,plain,
% 83.63/53.26 ((~v1(constB163)) <=> (~v1(constB163))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27431,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 83.63/53.26 tff(27432,plain,
% 83.63/53.26 (~v1(constB163)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27431, 27430])).
% 83.63/53.26 tff(27433,plain,
% 83.63/53.26 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27434,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 83.63/53.26 tff(27435,plain,
% 83.63/53.26 (nextState(constB162, constB163)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 83.63/53.26 tff(27436,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27437,plain,
% 83.63/53.26 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27438,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27437])).
% 83.63/53.26 tff(27439,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27438, 27436])).
% 83.63/53.26 tff(27440,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27441,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27440, 27439])).
% 83.63/53.26 tff(27442,plain,
% 83.63/53.26 (~v101(constB163)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27441, 66, 27435, 27432])).
% 83.63/53.26 tff(27443,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27444,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27445,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27444, 27443])).
% 83.63/53.26 tff(27446,plain,
% 83.63/53.26 (v101(constB163) | (~v100(constB163))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27445, 83, 27435])).
% 83.63/53.26 tff(27447,plain,
% 83.63/53.26 (~v100(constB163)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27446, 27442])).
% 83.63/53.26 tff(27448,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27449,plain,
% 83.63/53.26 (((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))) <=> (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27450,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27449])).
% 83.63/53.26 tff(27451,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27450, 27448])).
% 83.63/53.26 tff(27452,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27453,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 83.63/53.26 tff(27454,plain,
% 83.63/53.26 (v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27453, 98, 27435])).
% 83.63/53.26 tff(27455,plain,
% 83.63/53.26 (v90(constB162, 2) | (~v90(constB163, 2))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27454, 27447])).
% 83.63/53.26 tff(27456,plain,
% 83.63/53.26 (~v90(constB163, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27455, 27429])).
% 83.63/53.26 tff(27457,assumption,(~v130(constB161, 1)), introduced(assumption)).
% 83.63/53.26 tff(27458,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB161)) | v130(constB161, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27459,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB161)) | v130(constB161, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27460,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB161)) | v130(constB161, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 83.63/53.26 tff(27461,plain,
% 83.63/53.26 (~v120(constB161)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27460, 804, 27457])).
% 83.63/53.26 tff(27462,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27463,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27464,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27463, 27462])).
% 83.63/53.26 tff(27465,plain,
% 83.63/53.26 (~v121(constB161)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27464, 1108, 27457])).
% 83.63/53.26 tff(27466,plain,
% 83.63/53.26 (v90(constB160, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27321, 27465, 27227, 27226, 27225, 27228, 27293])).
% 83.63/53.26 tff(27467,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27468,plain,
% 83.63/53.26 (((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0)) <=> ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27469,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0)))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27468])).
% 83.63/53.26 tff(27470,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27469, 27467])).
% 83.63/53.26 tff(27471,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27472,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27471, 27470])).
% 83.63/53.26 tff(27473,plain,
% 83.63/53.26 ((~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27472, 526, 27203])).
% 83.63/53.26 tff(27474,plain,
% 83.63/53.26 ((~v90(constB160, 0)) | v90(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27473, 27215])).
% 83.63/53.26 tff(27475,plain,
% 83.63/53.26 (v90(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27474, 27466])).
% 83.63/53.26 tff(27476,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27477,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27478,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27477, 27476])).
% 83.63/53.26 tff(27479,plain,
% 83.63/53.26 ((~v90(constB161, 0)) | v90(constB161, 1) | v120(constB161)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27478, 614, 27293])).
% 83.63/53.26 tff(27480,plain,
% 83.63/53.26 (v90(constB161, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27479, 27475, 27461])).
% 83.63/53.26 tff(27481,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27482,plain,
% 83.63/53.26 (((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1))) <=> (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27483,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27482])).
% 83.63/53.26 tff(27484,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27483, 27481])).
% 83.63/53.26 tff(27485,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27486,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27485, 27484])).
% 83.63/53.26 tff(27487,plain,
% 83.63/53.26 (v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27486, 119, 27203])).
% 83.63/53.26 tff(27488,plain,
% 83.63/53.26 (v90(constB160, 1) | (~v90(constB161, 1))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27487, 27215])).
% 83.63/53.26 tff(27489,plain,
% 83.63/53.26 (v90(constB160, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27488, 27480])).
% 83.63/53.26 tff(27490,plain,
% 83.63/53.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27491,plain,
% 83.63/53.26 (((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1)) <=> ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27492,plain,
% 83.63/53.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27491])).
% 83.63/53.26 tff(27493,plain,
% 83.63/53.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27492, 27490])).
% 83.63/53.26 tff(27494,plain,
% 83.63/53.26 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27495,plain,
% 83.63/53.26 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27494, 27493])).
% 83.63/53.26 tff(27496,plain,
% 83.63/53.26 ((~v90(constB160, 1)) | v129(constB160, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27495, 416, 27228])).
% 83.63/53.26 tff(27497,plain,
% 83.63/53.26 (v129(constB160, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27496, 27489])).
% 83.63/53.26 tff(27498,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27499,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27500,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 83.63/53.26 tff(27501,plain,
% 83.63/53.26 (v127(constB159, 1) | (~v129(constB160, 1))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27500, 401, 26962])).
% 83.63/53.26 tff(27502,plain,
% 83.63/53.26 (v127(constB159, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27501, 27497])).
% 83.63/53.26 tff(27503,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27504,plain,
% 83.63/53.26 ((v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1))) <=> ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27505,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1)))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27504])).
% 83.63/53.26 tff(27506,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27505, 27503])).
% 83.63/53.26 tff(27507,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27508,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27507, 27506])).
% 83.63/53.26 tff(27509,plain,
% 83.63/53.26 ((~v127(constB159, 1)) | v130(constB159, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27508, 383, 26951])).
% 83.63/53.26 tff(27510,plain,
% 83.63/53.26 (v130(constB159, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27509, 27502])).
% 83.63/53.26 tff(27511,plain,
% 83.63/53.26 ((~v130(constB159, 2)) | v127(constB159, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27251, 1212, 26951])).
% 83.63/53.26 tff(27512,plain,
% 83.63/53.26 (~v130(constB159, 2)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27511, 27226])).
% 83.63/53.26 tff(27513,plain,
% 83.63/53.26 (~v123(constB159)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27260, 1567, 27512])).
% 83.63/53.26 tff(27514,plain,
% 83.63/53.26 (~v124(constB159)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27256, 1716, 27512])).
% 83.63/53.26 tff(27515,plain,
% 83.63/53.26 ((~v90(constB160, 0)) | v129(constB160, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27158, 929, 27228])).
% 83.63/53.26 tff(27516,plain,
% 83.63/53.26 (v129(constB160, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27515, 27466])).
% 83.63/53.26 tff(27517,plain,
% 83.63/53.26 (v127(constB159, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[26966, 27516])).
% 83.63/53.26 tff(27518,plain,
% 83.63/53.26 (v130(constB159, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[26958, 27517])).
% 83.63/53.26 tff(27519,plain,
% 83.63/53.26 (~v120(constB159)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[26946, 882, 27518])).
% 83.63/53.26 tff(27520,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB159)) | (~v130(constB159, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB159)) | (~v130(constB159, 1)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27521,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB159)) | (~v130(constB159, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27522,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB159)) | (~v130(constB159, 1))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27521, 27520])).
% 83.63/53.26 tff(27523,plain,
% 83.63/53.26 (~v119(constB159)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27522, 369, 27510])).
% 83.63/53.26 tff(27524,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 1)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27525,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27526,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 1))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27525, 27524])).
% 83.63/53.26 tff(27527,plain,
% 83.63/53.26 (v119(constB159) | v120(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 1))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27526, 2135, 27225, 27227])).
% 83.63/53.26 tff(27528,plain,
% 83.63/53.26 ($false),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27527, 27523, 27519, 27514, 27513, 27510])).
% 83.63/53.26 tff(27529,plain,(v130(constB161, 1) | v122(constB159) | v121(constB159) | (~v100(constB160)) | v90(constB161, 2) | v127(constB159, 2)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.26 tff(27530,plain,
% 83.63/53.26 (v130(constB161, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27529, 27224, 27152, 27187, 27176, 27172])).
% 83.63/53.26 tff(27531,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27532,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27533,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27532, 27531])).
% 83.63/53.26 tff(27534,plain,
% 83.63/53.26 ((~v130(constB161, 1)) | v127(constB161, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27533, 818, 27355])).
% 83.63/53.26 tff(27535,plain,
% 83.63/53.26 (v127(constB161, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27534, 27530])).
% 83.63/53.26 tff(27536,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27537,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27538,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27537, 27536])).
% 83.63/53.26 tff(27539,plain,
% 83.63/53.26 ((~v127(constB161, 1)) | v129(constB162, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27538, 833, 27373])).
% 83.63/53.26 tff(27540,plain,
% 83.63/53.26 (v129(constB162, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27539, 27535])).
% 83.63/53.26 tff(27541,plain,
% 83.63/53.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27542,plain,
% 83.63/53.26 ((v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1))) <=> (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27543,plain,
% 83.63/53.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27542])).
% 83.63/53.26 tff(27544,plain,
% 83.63/53.26 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27543, 27541])).
% 83.63/53.26 tff(27545,plain,
% 83.63/53.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27546,plain,
% 83.63/53.26 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 83.63/53.26 tff(27547,plain,
% 83.63/53.26 (v90(constB162, 1) | (~v100(constB162))),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27546, 848, 27540])).
% 83.63/53.26 tff(27548,plain,
% 83.63/53.26 (v90(constB162, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27547, 27407])).
% 83.63/53.26 tff(27549,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27550,plain,
% 83.63/53.26 (((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)) <=> ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27551,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)))),
% 83.63/53.26 inference(monotonicity,[status(thm)],[27550])).
% 83.63/53.26 tff(27552,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 83.63/53.26 inference(transitivity,[status(thm)],[27551, 27549])).
% 83.63/53.26 tff(27553,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27554,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27553, 27552])).
% 83.63/53.26 tff(27555,plain,
% 83.63/53.26 ((~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27554, 866, 27435])).
% 83.63/53.26 tff(27556,plain,
% 83.63/53.26 ((~v90(constB162, 1)) | v90(constB163, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27555, 27447])).
% 83.63/53.26 tff(27557,plain,
% 83.63/53.26 (v90(constB163, 1)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27556, 27548])).
% 83.63/53.26 tff(27558,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27559,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27560,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27559, 27558])).
% 83.63/53.26 tff(27561,plain,
% 83.63/53.26 (v130(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27560, 1146, 27322])).
% 83.63/53.26 tff(27562,plain,
% 83.63/53.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27563,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27564,plain,
% 83.63/53.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27563, 27562])).
% 83.63/53.26 tff(27565,plain,
% 83.63/53.26 ((~v130(constB161, 0)) | v127(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27564, 478, 27355])).
% 83.63/53.26 tff(27566,plain,
% 83.63/53.26 (v127(constB161, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27565, 27561])).
% 83.63/53.26 tff(27567,plain,
% 83.63/53.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27568,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 83.63/53.26 inference(quant_inst,[status(thm)],[])).
% 83.63/53.26 tff(27569,plain,
% 83.63/53.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0)),
% 83.63/53.26 inference(modus_ponens,[status(thm)],[27568, 27567])).
% 83.63/53.26 tff(27570,plain,
% 83.63/53.26 ((~v127(constB161, 0)) | v129(constB162, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27569, 493, 27373])).
% 83.63/53.26 tff(27571,plain,
% 83.63/53.26 (v129(constB162, 0)),
% 83.63/53.26 inference(unit_resolution,[status(thm)],[27570, 27566])).
% 83.63/53.26 tff(27572,plain,
% 83.63/53.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27573,plain,
% 83.63/53.26 ((v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0))) <=> (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 83.63/53.26 inference(rewrite,[status(thm)],[])).
% 83.63/53.26 tff(27574,plain,
% 83.63/53.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27573])).
% 83.63/53.27 tff(27575,plain,
% 83.63/53.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27574, 27572])).
% 83.63/53.27 tff(27576,plain,
% 83.63/53.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27577,plain,
% 83.63/53.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 83.63/53.27 tff(27578,plain,
% 83.63/53.27 (v90(constB162, 0) | (~v100(constB162))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27577, 508, 27571])).
% 83.63/53.27 tff(27579,plain,
% 83.63/53.27 (v90(constB162, 0)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27578, 27407])).
% 83.63/53.27 tff(27580,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27581,plain,
% 83.63/53.27 (((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)) <=> ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27582,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27581])).
% 83.63/53.27 tff(27583,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27582, 27580])).
% 83.63/53.27 tff(27584,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27585,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 83.63/53.27 tff(27586,plain,
% 83.63/53.27 ((~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27585, 526, 27435])).
% 83.63/53.27 tff(27587,plain,
% 83.63/53.27 ((~v90(constB162, 0)) | v90(constB163, 0)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27586, 27447])).
% 83.63/53.27 tff(27588,plain,
% 83.63/53.27 (v90(constB163, 0)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27587, 27579])).
% 83.63/53.27 tff(27589,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27590,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27591,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27590, 27589])).
% 83.63/53.27 tff(27592,plain,
% 83.63/53.27 (v122(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27591, 1187, 27588, 27557, 27456])).
% 83.63/53.27 tff(27593,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB163)) | v116(constB163))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27594,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27595,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB163)) | v116(constB163)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27594, 27593])).
% 83.63/53.27 tff(27596,plain,
% 83.63/53.27 (v116(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27595, 1257, 27592])).
% 83.63/53.27 tff(27597,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27598,plain,
% 83.63/53.27 (((~v116(constB163)) | v115(constB163)) <=> (v115(constB163) | (~v116(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27599,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB163) | (~v116(constB163))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27598])).
% 83.63/53.27 tff(27600,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27599, 27597])).
% 83.63/53.27 tff(27601,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27602,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB163) | (~v116(constB163))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27601, 27600])).
% 83.63/53.27 tff(27603,plain,
% 83.63/53.27 (v115(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27602, 214, 27596])).
% 83.63/53.27 tff(27604,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27605,plain,
% 83.63/53.27 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27606,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27605])).
% 83.63/53.27 tff(27607,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27606, 27604])).
% 83.63/53.27 tff(27608,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27609,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27608, 27607])).
% 83.63/53.27 tff(27610,plain,
% 83.63/53.27 (v114(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27609, 228, 27603])).
% 83.63/53.27 tff(27611,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB163)) | v113(constB163))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27612,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27613,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB163)) | v113(constB163)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27612, 27611])).
% 83.63/53.27 tff(27614,plain,
% 83.63/53.27 (v113(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27613, 242, 27610])).
% 83.63/53.27 tff(27615,assumption,(v26(constB163)), introduced(assumption)).
% 83.63/53.27 tff(27616,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27617,plain,
% 83.63/53.27 ($false),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27616, 19, 27615])).
% 83.63/53.27 tff(27618,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.27 tff(27619,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27620,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27621,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27620, 27619])).
% 83.63/53.27 tff(27622,plain,
% 83.63/53.27 ((~v113(constB163)) | v112(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27621, 256, 27618])).
% 83.63/53.27 tff(27623,plain,
% 83.63/53.27 (v112(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27622, 27614])).
% 83.63/53.27 tff(27624,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27625,plain,
% 83.63/53.27 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27626,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27625])).
% 83.63/53.27 tff(27627,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27626, 27624])).
% 83.63/53.27 tff(27628,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27629,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 83.63/53.27 tff(27630,plain,
% 83.63/53.27 (v108(constB163)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27629, 268, 27623])).
% 83.63/53.27 tff(27631,plain,
% 83.63/53.27 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27632,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 83.63/53.27 tff(27633,plain,
% 83.63/53.27 (nextState(constB163, constB164)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 83.63/53.27 tff(27634,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27635,plain,
% 83.63/53.27 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27636,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27635])).
% 83.63/53.27 tff(27637,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27636, 27634])).
% 83.63/53.27 tff(27638,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27639,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27638, 27637])).
% 83.63/53.27 tff(27640,plain,
% 83.63/53.27 (v110(constB164) | (~v108(constB163))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27639, 288, 27633])).
% 83.63/53.27 tff(27641,plain,
% 83.63/53.27 (v110(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27640, 27630])).
% 83.63/53.27 tff(27642,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27643,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27644,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27643, 27642])).
% 83.63/53.27 tff(27645,plain,
% 83.63/53.27 (~v104(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27644, 306, 27633, 27432])).
% 83.63/53.27 tff(27646,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27647,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27648,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 83.63/53.27 tff(27649,plain,
% 83.63/53.27 (v102(constB164) | v104(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27648, 320, 27633])).
% 83.63/53.27 tff(27650,plain,
% 83.63/53.27 (v102(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27649, 27645])).
% 83.63/53.27 tff(27651,plain,
% 83.63/53.27 (v1(constB164) <=> v1(constB164)),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27652,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 83.63/53.27 tff(27653,plain,
% 83.63/53.27 (v1(constB164)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 83.63/53.27 tff(27654,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27655,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27656,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 83.63/53.27 tff(27657,plain,
% 83.63/53.27 (v101(constB164) | (~v102(constB164))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27656, 338, 27633, 27653])).
% 83.63/53.27 tff(27658,plain,
% 83.63/53.27 (v101(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27657, 27650])).
% 83.63/53.27 tff(27659,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27660,plain,
% 83.63/53.27 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27661,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27660])).
% 83.63/53.27 tff(27662,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27661, 27659])).
% 83.63/53.27 tff(27663,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27664,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27663, 27662])).
% 83.63/53.27 tff(27665,plain,
% 83.63/53.27 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27664, 353, 27633])).
% 83.63/53.27 tff(27666,plain,
% 83.63/53.27 (v100(constB164) | (~v110(constB164))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27665, 27658])).
% 83.63/53.27 tff(27667,plain,
% 83.63/53.27 (v100(constB164)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27666, 27641])).
% 83.63/53.27 tff(27668,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27669,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27670,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 83.63/53.27 tff(27671,plain,
% 83.63/53.27 (v130(constB163, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27670, 1198, 27592])).
% 83.63/53.27 tff(27672,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27673,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27674,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 83.63/53.27 tff(27675,plain,
% 83.63/53.27 ((~v130(constB163, 2)) | v127(constB163, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27674, 1212, 27618])).
% 83.63/53.27 tff(27676,plain,
% 83.63/53.27 (v127(constB163, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27675, 27671])).
% 83.63/53.27 tff(27677,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27678,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27679,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27678, 27677])).
% 83.63/53.27 tff(27680,plain,
% 83.63/53.27 ((~v127(constB163, 2)) | v129(constB164, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27679, 1230, 27633])).
% 83.63/53.27 tff(27681,plain,
% 83.63/53.27 (v129(constB164, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27680, 27676])).
% 83.63/53.27 tff(27682,plain,
% 83.63/53.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27683,plain,
% 83.63/53.27 ((v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2))) <=> (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27684,plain,
% 83.63/53.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27683])).
% 83.63/53.27 tff(27685,plain,
% 83.63/53.27 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27684, 27682])).
% 83.63/53.27 tff(27686,plain,
% 83.63/53.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27687,plain,
% 83.63/53.27 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 83.63/53.27 tff(27688,plain,
% 83.63/53.27 (v90(constB164, 2) | (~v100(constB164))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27687, 1338, 27681])).
% 83.63/53.27 tff(27689,plain,
% 83.63/53.27 (v90(constB164, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27688, 27667])).
% 83.63/53.27 tff(27690,plain,
% 83.63/53.27 ((~v1(constB165)) <=> (~v1(constB165))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27691,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 83.63/53.27 tff(27692,plain,
% 83.63/53.27 (~v1(constB165)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27691, 27690])).
% 83.63/53.27 tff(27693,plain,
% 83.63/53.27 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27694,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 83.63/53.27 tff(27695,plain,
% 83.63/53.27 (nextState(constB164, constB165)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27694, 27693])).
% 83.63/53.27 tff(27696,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27697,plain,
% 83.63/53.27 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27698,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27697])).
% 83.63/53.27 tff(27699,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27698, 27696])).
% 83.63/53.27 tff(27700,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27701,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 83.63/53.27 tff(27702,plain,
% 83.63/53.27 (~v101(constB165)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27701, 66, 27695, 27692])).
% 83.63/53.27 tff(27703,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27704,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27705,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 83.63/53.27 tff(27706,plain,
% 83.63/53.27 (v101(constB165) | (~v100(constB165))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27705, 83, 27695])).
% 83.63/53.27 tff(27707,plain,
% 83.63/53.27 (~v100(constB165)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27706, 27702])).
% 83.63/53.27 tff(27708,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27709,plain,
% 83.63/53.27 (((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)) <=> ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27710,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27709])).
% 83.63/53.27 tff(27711,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27710, 27708])).
% 83.63/53.27 tff(27712,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27713,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 83.63/53.27 tff(27714,plain,
% 83.63/53.27 ((~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27713, 1374, 27695])).
% 83.63/53.27 tff(27715,plain,
% 83.63/53.27 ((~v90(constB164, 2)) | v90(constB165, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27714, 27707])).
% 83.63/53.27 tff(27716,plain,
% 83.63/53.27 (v90(constB165, 2)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27715, 27689])).
% 83.63/53.27 tff(27717,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27718,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27719,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27718, 27717])).
% 83.63/53.27 tff(27720,plain,
% 83.63/53.27 (~v130(constB163, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27719, 1390, 27592])).
% 83.63/53.27 tff(27721,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27722,plain,
% 83.63/53.27 ((v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1))) <=> ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27723,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27722])).
% 83.63/53.27 tff(27724,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27723, 27721])).
% 83.63/53.27 tff(27725,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27726,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27725, 27724])).
% 83.63/53.27 tff(27727,plain,
% 83.63/53.27 ((~v127(constB163, 1)) | v130(constB163, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27726, 383, 27618])).
% 83.63/53.27 tff(27728,plain,
% 83.63/53.27 (~v127(constB163, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27727, 27720])).
% 83.63/53.27 tff(27729,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27730,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27731,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27730, 27729])).
% 83.63/53.27 tff(27732,plain,
% 83.63/53.27 (v127(constB163, 1) | (~v129(constB164, 1))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27731, 401, 27633])).
% 83.63/53.27 tff(27733,plain,
% 83.63/53.27 (~v129(constB164, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27732, 27728])).
% 83.63/53.27 tff(27734,plain,
% 83.63/53.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27735,plain,
% 83.63/53.27 (((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1)) <=> ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27736,plain,
% 83.63/53.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27735])).
% 83.63/53.27 tff(27737,plain,
% 83.63/53.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27736, 27734])).
% 83.63/53.27 tff(27738,plain,
% 83.63/53.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27739,plain,
% 83.63/53.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27738, 27737])).
% 83.63/53.27 tff(27740,plain,
% 83.63/53.27 ((~v90(constB164, 1)) | (~v100(constB164))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27739, 416, 27733])).
% 83.63/53.27 tff(27741,plain,
% 83.63/53.27 (~v90(constB164, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27740, 27667])).
% 83.63/53.27 tff(27742,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27743,plain,
% 83.63/53.27 (((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))) <=> (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27744,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))))),
% 83.63/53.27 inference(monotonicity,[status(thm)],[27743])).
% 83.63/53.27 tff(27745,plain,
% 83.63/53.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 83.63/53.27 inference(transitivity,[status(thm)],[27744, 27742])).
% 83.63/53.27 tff(27746,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27747,plain,
% 83.63/53.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 83.63/53.27 tff(27748,plain,
% 83.63/53.27 (v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27747, 119, 27695])).
% 83.63/53.27 tff(27749,plain,
% 83.63/53.27 (v90(constB164, 1) | (~v90(constB165, 1))),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27748, 27707])).
% 83.63/53.27 tff(27750,plain,
% 83.63/53.27 (~v90(constB165, 1)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27749, 27741])).
% 83.63/53.27 tff(27751,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0)))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.27 tff(27752,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))),
% 83.63/53.27 inference(quant_inst,[status(thm)],[])).
% 83.63/53.27 tff(27753,plain,
% 83.63/53.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0))),
% 83.63/53.27 inference(modus_ponens,[status(thm)],[27752, 27751])).
% 83.63/53.27 tff(27754,plain,
% 83.63/53.27 (~v130(constB163, 0)),
% 83.63/53.27 inference(unit_resolution,[status(thm)],[27753, 1431, 27592])).
% 83.63/53.27 tff(27755,plain,
% 83.63/53.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 83.63/53.27 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27756,plain,
% 83.63/53.28 ((v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0))) <=> ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27757,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27756])).
% 83.63/53.28 tff(27758,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27757, 27755])).
% 83.63/53.28 tff(27759,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27760,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27759, 27758])).
% 83.63/53.28 tff(27761,plain,
% 83.63/53.28 ((~v127(constB163, 0)) | v130(constB163, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27760, 896, 27618])).
% 83.63/53.28 tff(27762,plain,
% 83.63/53.28 (~v127(constB163, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27761, 27754])).
% 83.63/53.28 tff(27763,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27764,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27765,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 83.63/53.28 tff(27766,plain,
% 83.63/53.28 (v127(constB163, 0) | (~v129(constB164, 0))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27765, 914, 27633])).
% 83.63/53.28 tff(27767,plain,
% 83.63/53.28 (~v129(constB164, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27766, 27762])).
% 83.63/53.28 tff(27768,plain,
% 83.63/53.28 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27769,plain,
% 83.63/53.28 (((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0)) <=> ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27770,plain,
% 83.63/53.28 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27769])).
% 83.63/53.28 tff(27771,plain,
% 83.63/53.28 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27770, 27768])).
% 83.63/53.28 tff(27772,plain,
% 83.63/53.28 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27773,plain,
% 83.63/53.28 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 83.63/53.28 tff(27774,plain,
% 83.63/53.28 ((~v90(constB164, 0)) | (~v100(constB164))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27773, 929, 27767])).
% 83.63/53.28 tff(27775,plain,
% 83.63/53.28 (~v90(constB164, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27774, 27667])).
% 83.63/53.28 tff(27776,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27777,plain,
% 83.63/53.28 (((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))) <=> (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27778,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27777])).
% 83.63/53.28 tff(27779,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27778, 27776])).
% 83.63/53.28 tff(27780,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27781,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 83.63/53.28 tff(27782,plain,
% 83.63/53.28 (v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27781, 140, 27695])).
% 83.63/53.28 tff(27783,plain,
% 83.63/53.28 (v90(constB164, 0) | (~v90(constB165, 0))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27782, 27707])).
% 83.63/53.28 tff(27784,plain,
% 83.63/53.28 (~v90(constB165, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27783, 27775])).
% 83.63/53.28 tff(27785,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27786,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27787,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27786, 27785])).
% 83.63/53.28 tff(27788,plain,
% 83.63/53.28 (v123(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27787, 1475, 27784, 27750, 27716])).
% 83.63/53.28 tff(27789,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27790,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27791,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 83.63/53.28 tff(27792,plain,
% 83.63/53.28 (v130(constB165, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27791, 1567, 27788])).
% 83.63/53.28 tff(27793,assumption,(v26(constB165)), introduced(assumption)).
% 83.63/53.28 tff(27794,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27795,plain,
% 83.63/53.28 ($false),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27794, 19, 27793])).
% 83.63/53.28 tff(27796,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.28 tff(27797,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27798,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27799,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27798, 27797])).
% 83.63/53.28 tff(27800,plain,
% 83.63/53.28 ((~v130(constB165, 2)) | v127(constB165, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27799, 1212, 27796])).
% 83.63/53.28 tff(27801,plain,
% 83.63/53.28 (v127(constB165, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27800, 27792])).
% 83.63/53.28 tff(27802,plain,
% 83.63/53.28 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27803,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 83.63/53.28 tff(27804,plain,
% 83.63/53.28 (nextState(constB165, constB166)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27803, 27802])).
% 83.63/53.28 tff(27805,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27806,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27807,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27806, 27805])).
% 83.63/53.28 tff(27808,plain,
% 83.63/53.28 ((~v127(constB165, 2)) | v129(constB166, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27807, 1230, 27804])).
% 83.63/53.28 tff(27809,plain,
% 83.63/53.28 (v129(constB166, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27808, 27801])).
% 83.63/53.28 tff(27810,assumption,(~v130(constB163, 0)), introduced(assumption)).
% 83.63/53.28 tff(27811,plain,
% 83.63/53.28 (~v127(constB163, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27761, 27810])).
% 83.63/53.28 tff(27812,plain,
% 83.63/53.28 (~v129(constB164, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27766, 27811])).
% 83.63/53.28 tff(27813,assumption,(~v113(constB165)), introduced(assumption)).
% 83.63/53.28 tff(27814,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27815,plain,
% 83.63/53.28 (((~v125(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v125(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27816,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v125(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27815])).
% 83.63/53.28 tff(27817,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27816, 27814])).
% 83.63/53.28 tff(27818,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB165)) | v113(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27819,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v125(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27818, 27817])).
% 83.63/53.28 tff(27820,plain,
% 83.63/53.28 (~v125(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27819, 1946, 27813])).
% 83.63/53.28 tff(27821,assumption,(v124(constB163)), introduced(assumption)).
% 83.63/53.28 tff(27822,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB163)) | v114(constB163))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27823,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB163)) | v114(constB163))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27824,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB163)) | v114(constB163)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27823, 27822])).
% 83.63/53.28 tff(27825,plain,
% 83.63/53.28 (v114(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27824, 1741, 27821])).
% 83.63/53.28 tff(27826,plain,
% 83.63/53.28 (v113(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27613, 242, 27825])).
% 83.63/53.28 tff(27827,plain,
% 83.63/53.28 (v112(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27622, 27826])).
% 83.63/53.28 tff(27828,plain,
% 83.63/53.28 (v108(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27629, 268, 27827])).
% 83.63/53.28 tff(27829,plain,
% 83.63/53.28 (v110(constB164)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27640, 27828])).
% 83.63/53.28 tff(27830,plain,
% 83.63/53.28 (v100(constB164)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27666, 27829])).
% 83.63/53.28 tff(27831,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB163)) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB163)) | v130(constB163, 2))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27832,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB163)) | v130(constB163, 2))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27833,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB163)) | v130(constB163, 2)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27832, 27831])).
% 83.63/53.28 tff(27834,plain,
% 83.63/53.28 (v130(constB163, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27833, 1716, 27821])).
% 83.63/53.28 tff(27835,plain,
% 83.63/53.28 (v127(constB163, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27675, 27834])).
% 83.63/53.28 tff(27836,plain,
% 83.63/53.28 (v129(constB164, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27680, 27835])).
% 83.63/53.28 tff(27837,plain,
% 83.63/53.28 (v90(constB164, 2) | (~v100(constB164))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27687, 1338, 27836])).
% 83.63/53.28 tff(27838,plain,
% 83.63/53.28 (v90(constB164, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27837, 27830])).
% 83.63/53.28 tff(27839,plain,
% 83.63/53.28 (v90(constB165, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27715, 27838])).
% 83.63/53.28 tff(27840,assumption,(~v129(constB164, 0)), introduced(assumption)).
% 83.63/53.28 tff(27841,plain,
% 83.63/53.28 ((~v90(constB164, 0)) | (~v100(constB164))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27773, 929, 27840])).
% 83.63/53.28 tff(27842,plain,
% 83.63/53.28 (~v90(constB164, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27841, 27830])).
% 83.63/53.28 tff(27843,plain,
% 83.63/53.28 (~v90(constB165, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27783, 27842])).
% 83.63/53.28 tff(27844,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB163)) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB163)) | v130(constB163, 1))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27845,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB163)) | v130(constB163, 1))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27846,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB163)) | v130(constB163, 1)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27845, 27844])).
% 83.63/53.28 tff(27847,plain,
% 83.63/53.28 (v130(constB163, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27846, 1767, 27821])).
% 83.63/53.28 tff(27848,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB163) | (~v130(constB163, 1)) | v127(constB163, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB163) | (~v130(constB163, 1)) | v127(constB163, 1))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27849,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB163) | (~v130(constB163, 1)) | v127(constB163, 1))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27850,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB163) | (~v130(constB163, 1)) | v127(constB163, 1)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 83.63/53.28 tff(27851,plain,
% 83.63/53.28 ((~v130(constB163, 1)) | v127(constB163, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27850, 818, 27618])).
% 83.63/53.28 tff(27852,plain,
% 83.63/53.28 (v127(constB163, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27851, 27847])).
% 83.63/53.28 tff(27853,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 1)) | v129(constB164, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB163, constB164)) | (~v127(constB163, 1)) | v129(constB164, 1))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27854,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 1)) | v129(constB164, 1))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27855,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB163, constB164)) | (~v127(constB163, 1)) | v129(constB164, 1)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27854, 27853])).
% 83.63/53.28 tff(27856,plain,
% 83.63/53.28 ((~v127(constB163, 1)) | v129(constB164, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27855, 833, 27633])).
% 83.63/53.28 tff(27857,plain,
% 83.63/53.28 (v129(constB164, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27856, 27852])).
% 83.63/53.28 tff(27858,plain,
% 83.63/53.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27859,plain,
% 83.63/53.28 ((v90(constB164, 1) | (~v100(constB164)) | (~v129(constB164, 1))) <=> (v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27860,plain,
% 83.63/53.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB164, 1) | (~v100(constB164)) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27859])).
% 83.63/53.28 tff(27861,plain,
% 83.63/53.28 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB164, 1) | (~v100(constB164)) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27860, 27858])).
% 83.63/53.28 tff(27862,plain,
% 83.63/53.28 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB164, 1) | (~v100(constB164)) | (~v129(constB164, 1)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27863,plain,
% 83.63/53.28 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB164, 1) | (~v129(constB164, 1)) | (~v100(constB164))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27862, 27861])).
% 83.63/53.28 tff(27864,plain,
% 83.63/53.28 (v90(constB164, 1) | (~v100(constB164))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27863, 848, 27857])).
% 83.63/53.28 tff(27865,plain,
% 83.63/53.28 (v90(constB164, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27864, 27830])).
% 83.63/53.28 tff(27866,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27867,plain,
% 83.63/53.28 (((~nextState(constB164, constB165)) | (~v90(constB164, 1)) | v100(constB165) | v90(constB165, 1)) <=> ((~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27868,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 1)) | v100(constB165) | v90(constB165, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1)))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27867])).
% 83.63/53.28 tff(27869,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 1)) | v100(constB165) | v90(constB165, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27868, 27866])).
% 83.63/53.28 tff(27870,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 1)) | v100(constB165) | v90(constB165, 1))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27871,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB164, 1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 1)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 83.63/53.28 tff(27872,plain,
% 83.63/53.28 ((~v90(constB164, 1)) | v100(constB165) | v90(constB165, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27871, 866, 27695])).
% 83.63/53.28 tff(27873,plain,
% 83.63/53.28 ((~v90(constB164, 1)) | v90(constB165, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27872, 27707])).
% 83.63/53.28 tff(27874,plain,
% 83.63/53.28 (v90(constB165, 1)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27873, 27865])).
% 83.63/53.28 tff(27875,assumption,(~v125(constB165)), introduced(assumption)).
% 83.63/53.28 tff(27876,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)) | v125(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)) | v125(constB165))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27877,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)) | v125(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27878,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2)) | v125(constB165)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 83.63/53.28 tff(27879,plain,
% 83.63/53.28 (v90(constB165, 0) | (~v90(constB165, 1)) | (~v90(constB165, 2))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27878, 1934, 27875])).
% 83.63/53.28 tff(27880,plain,
% 83.63/53.28 ($false),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27879, 27874, 27843, 27839])).
% 83.63/53.28 tff(27881,plain,((~v124(constB163)) | v125(constB165) | v129(constB164, 0)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.28 tff(27882,plain,
% 83.63/53.28 (~v124(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27881, 27820, 27812])).
% 83.63/53.28 tff(27883,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27884,plain,
% 83.63/53.28 (((~v114(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v114(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27885,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27884])).
% 83.63/53.28 tff(27886,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27885, 27883])).
% 83.63/53.28 tff(27887,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27888,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27887, 27886])).
% 83.63/53.28 tff(27889,plain,
% 83.63/53.28 (~v114(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27888, 242, 27813])).
% 83.63/53.28 tff(27890,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27891,plain,
% 83.63/53.28 (((~v115(constB165)) | v114(constB165)) <=> (v114(constB165) | (~v115(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27892,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27891])).
% 83.63/53.28 tff(27893,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27892, 27890])).
% 83.63/53.28 tff(27894,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27895,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27894, 27893])).
% 83.63/53.28 tff(27896,plain,
% 83.63/53.28 (~v115(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27895, 228, 27889])).
% 83.63/53.28 tff(27897,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v116(constB165)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27898,plain,
% 83.63/53.28 (((~v116(constB165)) | v115(constB165)) <=> (v115(constB165) | (~v116(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27899,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v116(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27898])).
% 83.63/53.28 tff(27900,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27899, 27897])).
% 83.63/53.28 tff(27901,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27902,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27901, 27900])).
% 83.63/53.28 tff(27903,plain,
% 83.63/53.28 (~v116(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27902, 214, 27896])).
% 83.63/53.28 tff(27904,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB165) | (~v117(constB165)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27905,plain,
% 83.63/53.28 (((~v117(constB165)) | v116(constB165)) <=> (v116(constB165) | (~v117(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27906,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB165) | (~v117(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27905])).
% 83.63/53.28 tff(27907,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27906, 27904])).
% 83.63/53.28 tff(27908,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27909,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27908, 27907])).
% 83.63/53.28 tff(27910,plain,
% 83.63/53.28 (~v117(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27909, 200, 27903])).
% 83.63/53.28 tff(27911,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB165) | (~v121(constB165)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v121(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27912,plain,
% 83.63/53.28 (((~v121(constB165)) | v117(constB165)) <=> (v117(constB165) | (~v121(constB165)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27913,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB165)) | v117(constB165))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB165) | (~v121(constB165))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27912])).
% 83.63/53.28 tff(27914,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB165)) | v117(constB165))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v121(constB165)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27913, 27911])).
% 83.63/53.28 tff(27915,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB165)) | v117(constB165))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27916,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v121(constB165))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27915, 27914])).
% 83.63/53.28 tff(27917,plain,
% 83.63/53.28 (~v121(constB165)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27916, 967, 27910])).
% 83.63/53.28 tff(27918,assumption,(~v124(constB163)), introduced(assumption)).
% 83.63/53.28 tff(27919,assumption,(~v127(constB163, 2)), introduced(assumption)).
% 83.63/53.28 tff(27920,plain,
% 83.63/53.28 (~v130(constB163, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27675, 27919])).
% 83.63/53.28 tff(27921,plain,
% 83.63/53.28 (~v122(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27670, 1198, 27920])).
% 83.63/53.28 tff(27922,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB163)) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27923,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27924,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB163)) | v130(constB163, 0)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27923, 27922])).
% 83.63/53.28 tff(27925,plain,
% 83.63/53.28 (~v119(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27924, 464, 27810])).
% 83.63/53.28 tff(27926,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB163)) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27927,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27928,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB163)) | v130(constB163, 0)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 83.63/53.28 tff(27929,plain,
% 83.63/53.28 (~v123(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27928, 1664, 27810])).
% 83.63/53.28 tff(27930,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB163)) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27931,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB163)) | v130(constB163, 0))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27932,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB163)) | v130(constB163, 0)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 83.63/53.28 tff(27933,plain,
% 83.63/53.28 (~v121(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27932, 1146, 27810])).
% 83.63/53.28 tff(27934,assumption,(~v120(constB163)), introduced(assumption)).
% 83.63/53.28 tff(27935,assumption,(~v122(constB163)), introduced(assumption)).
% 83.63/53.28 tff(27936,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27937,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27938,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 83.63/53.28 tff(27939,plain,
% 83.63/53.28 (v119(constB163) | v121(constB163) | v123(constB163) | v130(constB163, 0)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27938, 2180, 27918, 27935, 27934])).
% 83.63/53.28 tff(27940,plain,
% 83.63/53.28 ($false),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27939, 27933, 27929, 27810, 27925])).
% 83.63/53.28 tff(27941,plain,(v130(constB163, 0) | v124(constB163) | v122(constB163) | v120(constB163)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.28 tff(27942,plain,
% 83.63/53.28 (v120(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27941, 27921, 27810, 27918])).
% 83.63/53.28 tff(27943,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB163)) | v118(constB163))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB163)) | v118(constB163))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27944,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB163)) | v118(constB163))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27945,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB163)) | v118(constB163)),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 83.63/53.28 tff(27946,plain,
% 83.63/53.28 (v118(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27945, 628, 27942])).
% 83.63/53.28 tff(27947,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB163) | (~v118(constB163)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB163) | (~v118(constB163)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27948,plain,
% 83.63/53.28 (((~v118(constB163)) | v117(constB163)) <=> (v117(constB163) | (~v118(constB163)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27949,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB163)) | v117(constB163))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB163) | (~v118(constB163))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27948])).
% 83.63/53.28 tff(27950,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB163)) | v117(constB163))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB163) | (~v118(constB163)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27949, 27947])).
% 83.63/53.28 tff(27951,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB163)) | v117(constB163))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27952,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB163) | (~v118(constB163))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 83.63/53.28 tff(27953,plain,
% 83.63/53.28 (v117(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27952, 186, 27946])).
% 83.63/53.28 tff(27954,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v117(constB163)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27955,plain,
% 83.63/53.28 (((~v117(constB163)) | v116(constB163)) <=> (v116(constB163) | (~v117(constB163)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27956,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB163) | (~v117(constB163))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27955])).
% 83.63/53.28 tff(27957,plain,
% 83.63/53.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27956, 27954])).
% 83.63/53.28 tff(27958,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB163)) | v116(constB163))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27959,plain,
% 83.63/53.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB163) | (~v117(constB163))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27958, 27957])).
% 83.63/53.28 tff(27960,plain,
% 83.63/53.28 (v116(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27959, 200, 27953])).
% 83.63/53.28 tff(27961,plain,
% 83.63/53.28 (v115(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27602, 214, 27960])).
% 83.63/53.28 tff(27962,plain,
% 83.63/53.28 (v114(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27609, 228, 27961])).
% 83.63/53.28 tff(27963,plain,
% 83.63/53.28 (v113(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27613, 242, 27962])).
% 83.63/53.28 tff(27964,plain,
% 83.63/53.28 (v112(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27622, 27963])).
% 83.63/53.28 tff(27965,plain,
% 83.63/53.28 (v108(constB163)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27629, 268, 27964])).
% 83.63/53.28 tff(27966,plain,
% 83.63/53.28 (v110(constB164)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27640, 27965])).
% 83.63/53.28 tff(27967,plain,
% 83.63/53.28 (v100(constB164)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27666, 27966])).
% 83.63/53.28 tff(27968,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27969,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27970,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 83.63/53.28 tff(27971,plain,
% 83.63/53.28 (v127(constB163, 2) | (~v129(constB164, 2))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27970, 574, 27633])).
% 83.63/53.28 tff(27972,plain,
% 83.63/53.28 (~v129(constB164, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27971, 27919])).
% 83.63/53.28 tff(27973,plain,
% 83.63/53.28 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27974,plain,
% 83.63/53.28 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27975,plain,
% 83.63/53.28 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27974, 27973])).
% 83.63/53.28 tff(27976,plain,
% 83.63/53.28 ((~v90(constB164, 2)) | (~v100(constB164))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27975, 589, 27972])).
% 83.63/53.28 tff(27977,plain,
% 83.63/53.28 (~v90(constB164, 2)),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27976, 27967])).
% 83.63/53.28 tff(27978,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27979,plain,
% 83.63/53.28 (((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2))) <=> (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 83.63/53.28 inference(rewrite,[status(thm)],[])).
% 83.63/53.28 tff(27980,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2))))),
% 83.63/53.28 inference(monotonicity,[status(thm)],[27979])).
% 83.63/53.28 tff(27981,plain,
% 83.63/53.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 83.63/53.28 inference(transitivity,[status(thm)],[27980, 27978])).
% 83.63/53.28 tff(27982,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))),
% 83.63/53.28 inference(quant_inst,[status(thm)],[])).
% 83.63/53.28 tff(27983,plain,
% 83.63/53.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2))),
% 83.63/53.28 inference(modus_ponens,[status(thm)],[27982, 27981])).
% 83.63/53.28 tff(27984,plain,
% 83.63/53.28 (v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27983, 98, 27695])).
% 83.63/53.28 tff(27985,plain,
% 83.63/53.28 (v90(constB164, 2) | (~v90(constB165, 2))),
% 83.63/53.28 inference(unit_resolution,[status(thm)],[27984, 27707])).
% 83.63/53.28 tff(27986,plain,
% 83.63/53.29 (~v90(constB165, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27985, 27977])).
% 83.63/53.29 tff(27987,plain,
% 83.63/53.29 ((~v90(constB164, 0)) | (~v100(constB164))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27773, 929, 27812])).
% 83.63/53.29 tff(27988,plain,
% 83.63/53.29 (~v90(constB164, 0)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27987, 27967])).
% 83.63/53.29 tff(27989,plain,
% 83.63/53.29 (~v90(constB165, 0)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27783, 27988])).
% 83.63/53.29 tff(27990,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB163)) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB163)) | v130(constB163, 1))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(27991,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB163)) | v130(constB163, 1))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(27992,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB163)) | v130(constB163, 1)),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 83.63/53.29 tff(27993,plain,
% 83.63/53.29 (v130(constB163, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27992, 804, 27942])).
% 83.63/53.29 tff(27994,plain,
% 83.63/53.29 (v127(constB163, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27851, 27993])).
% 83.63/53.29 tff(27995,plain,
% 83.63/53.29 (v129(constB164, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27856, 27994])).
% 83.63/53.29 tff(27996,plain,
% 83.63/53.29 (v90(constB164, 1) | (~v100(constB164))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27863, 848, 27995])).
% 83.63/53.29 tff(27997,plain,
% 83.63/53.29 (v90(constB164, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27996, 27967])).
% 83.63/53.29 tff(27998,plain,
% 83.63/53.29 (v90(constB165, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27873, 27997])).
% 83.63/53.29 tff(27999,assumption,(~v121(constB165)), introduced(assumption)).
% 83.63/53.29 tff(28000,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB165, 0) | (~v90(constB165, 1)) | v90(constB165, 2) | v121(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB165, 0) | (~v90(constB165, 1)) | v90(constB165, 2) | v121(constB165))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28001,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB165, 0) | (~v90(constB165, 1)) | v90(constB165, 2) | v121(constB165))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28002,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB165, 0) | (~v90(constB165, 1)) | v90(constB165, 2) | v121(constB165)),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28001, 28000])).
% 83.63/53.29 tff(28003,plain,
% 83.63/53.29 (v90(constB165, 0) | (~v90(constB165, 1)) | v90(constB165, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28002, 956, 27999])).
% 83.63/53.29 tff(28004,plain,
% 83.63/53.29 ($false),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28003, 27998, 27989, 27986])).
% 83.63/53.29 tff(28005,plain,(v127(constB163, 2) | v121(constB165) | v130(constB163, 0) | v124(constB163)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.29 tff(28006,plain,
% 83.63/53.29 (v127(constB163, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28005, 27917, 27810, 27882])).
% 83.63/53.29 tff(28007,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28008,plain,
% 83.63/53.29 ((v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2))) <=> ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28009,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2)))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28008])).
% 83.63/53.29 tff(28010,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28009, 28007])).
% 83.63/53.29 tff(28011,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28012,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2)),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28011, 28010])).
% 83.63/53.29 tff(28013,plain,
% 83.63/53.29 ((~v127(constB163, 2)) | v130(constB163, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28012, 556, 27618])).
% 83.63/53.29 tff(28014,plain,
% 83.63/53.29 (v130(constB163, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28013, 28006])).
% 83.63/53.29 tff(28015,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB163)) | (~v130(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB163)) | (~v130(constB163, 2)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28016,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB163)) | (~v130(constB163, 2)))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28017,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB163)) | (~v130(constB163, 2))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 83.63/53.29 tff(28018,plain,
% 83.63/53.29 (~v120(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28017, 744, 28014])).
% 83.63/53.29 tff(28019,plain,
% 83.63/53.29 (v122(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27941, 28018, 27810, 27882])).
% 83.63/53.29 tff(28020,plain,
% 83.63/53.29 (v116(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27595, 1257, 28019])).
% 83.63/53.29 tff(28021,plain,
% 83.63/53.29 (v115(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27602, 214, 28020])).
% 83.63/53.29 tff(28022,plain,
% 83.63/53.29 (v114(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27609, 228, 28021])).
% 83.63/53.29 tff(28023,plain,
% 83.63/53.29 (v113(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27613, 242, 28022])).
% 83.63/53.29 tff(28024,plain,
% 83.63/53.29 (v112(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27622, 28023])).
% 83.63/53.29 tff(28025,plain,
% 83.63/53.29 (v108(constB163)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27629, 268, 28024])).
% 83.63/53.29 tff(28026,plain,
% 83.63/53.29 (v110(constB164)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27640, 28025])).
% 83.63/53.29 tff(28027,plain,
% 83.63/53.29 (v100(constB164)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27666, 28026])).
% 83.63/53.29 tff(28028,plain,
% 83.63/53.29 (v129(constB164, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27680, 28006])).
% 83.63/53.29 tff(28029,plain,
% 83.63/53.29 (v90(constB164, 2) | (~v100(constB164))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27687, 1338, 28028])).
% 83.63/53.29 tff(28030,plain,
% 83.63/53.29 (v90(constB164, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28029, 28027])).
% 83.63/53.29 tff(28031,plain,
% 83.63/53.29 (v90(constB165, 2)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27715, 28030])).
% 83.63/53.29 tff(28032,plain,
% 83.63/53.29 (~v90(constB164, 0)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27987, 28027])).
% 83.63/53.29 tff(28033,plain,
% 83.63/53.29 (~v90(constB165, 0)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27783, 28032])).
% 83.63/53.29 tff(28034,plain,
% 83.63/53.29 (~v130(constB163, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27719, 1390, 28019])).
% 83.63/53.29 tff(28035,plain,
% 83.63/53.29 (~v127(constB163, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27727, 28034])).
% 83.63/53.29 tff(28036,plain,
% 83.63/53.29 (~v129(constB164, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27732, 28035])).
% 83.63/53.29 tff(28037,plain,
% 83.63/53.29 ((~v90(constB164, 1)) | (~v100(constB164))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27739, 416, 28036])).
% 83.63/53.29 tff(28038,plain,
% 83.63/53.29 (~v90(constB164, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28037, 28027])).
% 83.63/53.29 tff(28039,plain,
% 83.63/53.29 (~v90(constB165, 1)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27749, 28038])).
% 83.63/53.29 tff(28040,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v123(constB165)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28041,plain,
% 83.63/53.29 (((~v123(constB165)) | v115(constB165)) <=> (v115(constB165) | (~v123(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28042,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v123(constB165))))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28041])).
% 83.63/53.29 tff(28043,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165)))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28042, 28040])).
% 83.63/53.29 tff(28044,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28045,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v123(constB165))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28044, 28043])).
% 83.63/53.29 tff(28046,plain,
% 83.63/53.29 (~v123(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28045, 1486, 27896])).
% 83.63/53.29 tff(28047,plain,
% 83.63/53.29 (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[27787, 1475, 28046])).
% 83.63/53.29 tff(28048,plain,
% 83.63/53.29 ($false),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28047, 28039, 28033, 28031])).
% 83.63/53.29 tff(28049,plain,(v113(constB165) | v130(constB163, 0)), inference(lemma,lemma(discharge,[]))).
% 83.63/53.29 tff(28050,plain,
% 83.63/53.29 (v113(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28049, 27754])).
% 83.63/53.29 tff(28051,assumption,(~v108(constB165)), introduced(assumption)).
% 83.63/53.29 tff(28052,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28053,plain,
% 83.63/53.29 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28054,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28053])).
% 83.63/53.29 tff(28055,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28054, 28052])).
% 83.63/53.29 tff(28056,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28057,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28056, 28055])).
% 83.63/53.29 tff(28058,plain,
% 83.63/53.29 (~v112(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28057, 268, 28051])).
% 83.63/53.29 tff(28059,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v26(constB165)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v26(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28060,plain,
% 83.63/53.29 (((~v26(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v26(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28061,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v26(constB165))))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28060])).
% 83.63/53.29 tff(28062,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v26(constB165)))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28061, 28059])).
% 83.63/53.29 tff(28063,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB165)) | v108(constB165))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28064,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v26(constB165))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 83.63/53.29 tff(28065,plain,
% 83.63/53.29 (~v26(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28064, 685, 28051])).
% 83.63/53.29 tff(28066,assumption,(v113(constB165)), introduced(assumption)).
% 83.63/53.29 tff(28067,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28068,plain,
% 83.63/53.29 ((v26(constB165) | (~v113(constB165)) | v112(constB165)) <=> (v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28069,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | v112(constB165) | (~v113(constB165))))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28068])).
% 83.63/53.29 tff(28070,plain,
% 83.63/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165)))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28069, 28067])).
% 83.63/53.29 tff(28071,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28072,plain,
% 83.63/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | v112(constB165) | (~v113(constB165))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28071, 28070])).
% 83.63/53.29 tff(28073,plain,
% 83.63/53.29 (v26(constB165) | v112(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28072, 256, 28066])).
% 83.63/53.29 tff(28074,plain,
% 83.63/53.29 ($false),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28073, 28065, 28058])).
% 83.63/53.29 tff(28075,plain,(v108(constB165) | (~v113(constB165))), inference(lemma,lemma(discharge,[]))).
% 83.63/53.29 tff(28076,plain,
% 83.63/53.29 (v108(constB165)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28075, 28050])).
% 83.63/53.29 tff(28077,plain,
% 83.63/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28078,plain,
% 83.63/53.29 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28079,plain,
% 83.63/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 83.63/53.29 inference(monotonicity,[status(thm)],[28078])).
% 83.63/53.29 tff(28080,plain,
% 83.63/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 83.63/53.29 inference(transitivity,[status(thm)],[28079, 28077])).
% 83.63/53.29 tff(28081,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28082,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28081, 28080])).
% 83.63/53.29 tff(28083,plain,
% 83.63/53.29 (v110(constB166) | (~v108(constB165))),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28082, 288, 27804])).
% 83.63/53.29 tff(28084,plain,
% 83.63/53.29 (v110(constB166)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28083, 28076])).
% 83.63/53.29 tff(28085,plain,
% 83.63/53.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28086,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28087,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28086, 28085])).
% 83.63/53.29 tff(28088,plain,
% 83.63/53.29 (~v104(constB166)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28087, 306, 27804, 27692])).
% 83.63/53.29 tff(28089,plain,
% 83.63/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28090,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 83.63/53.29 inference(quant_inst,[status(thm)],[])).
% 83.63/53.29 tff(28091,plain,
% 83.63/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 83.63/53.29 tff(28092,plain,
% 83.63/53.29 (v102(constB166) | v104(constB166)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28091, 320, 27804])).
% 83.63/53.29 tff(28093,plain,
% 83.63/53.29 (v102(constB166)),
% 83.63/53.29 inference(unit_resolution,[status(thm)],[28092, 28088])).
% 83.63/53.29 tff(28094,plain,
% 83.63/53.29 (v1(constB166) <=> v1(constB166)),
% 83.63/53.29 inference(rewrite,[status(thm)],[])).
% 83.63/53.29 tff(28095,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 83.63/53.29 tff(28096,plain,
% 83.63/53.29 (v1(constB166)),
% 83.63/53.29 inference(modus_ponens,[status(thm)],[28095, 28094])).
% 83.72/53.29 tff(28097,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28098,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28099,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 83.72/53.29 tff(28100,plain,
% 83.72/53.29 (v101(constB166) | (~v102(constB166))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28099, 338, 27804, 28096])).
% 83.72/53.29 tff(28101,plain,
% 83.72/53.29 (v101(constB166)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28100, 28093])).
% 83.72/53.29 tff(28102,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28103,plain,
% 83.72/53.29 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28104,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28103])).
% 83.72/53.29 tff(28105,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28104, 28102])).
% 83.72/53.29 tff(28106,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28107,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 83.72/53.29 tff(28108,plain,
% 83.72/53.29 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28107, 353, 27804])).
% 83.72/53.29 tff(28109,plain,
% 83.72/53.29 (v100(constB166) | (~v110(constB166))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28108, 28101])).
% 83.72/53.29 tff(28110,plain,
% 83.72/53.29 (v100(constB166)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28109, 28084])).
% 83.72/53.29 tff(28111,plain,
% 83.72/53.29 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28112,plain,
% 83.72/53.29 ((v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2))) <=> (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28113,plain,
% 83.72/53.29 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28112])).
% 83.72/53.29 tff(28114,plain,
% 83.72/53.29 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28113, 28111])).
% 83.72/53.29 tff(28115,plain,
% 83.72/53.29 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28116,plain,
% 83.72/53.29 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 83.72/53.29 tff(28117,plain,
% 83.72/53.29 (v90(constB166, 2) | (~v129(constB166, 2))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28116, 1338, 28110])).
% 83.72/53.29 tff(28118,plain,
% 83.72/53.29 (v90(constB166, 2)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28117, 27809])).
% 83.72/53.29 tff(28119,plain,
% 83.72/53.29 ((~v1(constB167)) <=> (~v1(constB167))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28120,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 83.72/53.29 tff(28121,plain,
% 83.72/53.29 (~v1(constB167)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28120, 28119])).
% 83.72/53.29 tff(28122,plain,
% 83.72/53.29 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28123,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 83.72/53.29 tff(28124,plain,
% 83.72/53.29 (nextState(constB166, constB167)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28123, 28122])).
% 83.72/53.29 tff(28125,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28126,plain,
% 83.72/53.29 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28127,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28126])).
% 83.72/53.29 tff(28128,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28127, 28125])).
% 83.72/53.29 tff(28129,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28130,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28129, 28128])).
% 83.72/53.29 tff(28131,plain,
% 83.72/53.29 (~v101(constB167)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28130, 66, 28124, 28121])).
% 83.72/53.29 tff(28132,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28133,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28134,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28133, 28132])).
% 83.72/53.29 tff(28135,plain,
% 83.72/53.29 (v101(constB167) | (~v100(constB167))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28134, 83, 28124])).
% 83.72/53.29 tff(28136,plain,
% 83.72/53.29 (~v100(constB167)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28135, 28131])).
% 83.72/53.29 tff(28137,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28138,plain,
% 83.72/53.29 (((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)) <=> ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28139,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28138])).
% 83.72/53.29 tff(28140,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28139, 28137])).
% 83.72/53.29 tff(28141,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28142,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28141, 28140])).
% 83.72/53.29 tff(28143,plain,
% 83.72/53.29 ((~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28142, 1374, 28124])).
% 83.72/53.29 tff(28144,plain,
% 83.72/53.29 ((~v90(constB166, 2)) | v90(constB167, 2)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28143, 28136])).
% 83.72/53.29 tff(28145,plain,
% 83.72/53.29 (v90(constB167, 2)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28144, 28118])).
% 83.72/53.29 tff(28146,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28147,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28148,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 83.72/53.29 tff(28149,plain,
% 83.72/53.29 (~v130(constB165, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28148, 1623, 27788])).
% 83.72/53.29 tff(28150,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28151,plain,
% 83.72/53.29 ((v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1))) <=> ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28152,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28151])).
% 83.72/53.29 tff(28153,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28152, 28150])).
% 83.72/53.29 tff(28154,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28155,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28154, 28153])).
% 83.72/53.29 tff(28156,plain,
% 83.72/53.29 ((~v127(constB165, 1)) | v130(constB165, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28155, 383, 27796])).
% 83.72/53.29 tff(28157,plain,
% 83.72/53.29 (~v127(constB165, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28156, 28149])).
% 83.72/53.29 tff(28158,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28159,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28160,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28159, 28158])).
% 83.72/53.29 tff(28161,plain,
% 83.72/53.29 (v127(constB165, 1) | (~v129(constB166, 1))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28160, 401, 27804])).
% 83.72/53.29 tff(28162,plain,
% 83.72/53.29 (~v129(constB166, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28161, 28157])).
% 83.72/53.29 tff(28163,plain,
% 83.72/53.29 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28164,plain,
% 83.72/53.29 (((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1)) <=> ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28165,plain,
% 83.72/53.29 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28164])).
% 83.72/53.29 tff(28166,plain,
% 83.72/53.29 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28165, 28163])).
% 83.72/53.29 tff(28167,plain,
% 83.72/53.29 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28168,plain,
% 83.72/53.29 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28167, 28166])).
% 83.72/53.29 tff(28169,plain,
% 83.72/53.29 ((~v90(constB166, 1)) | v129(constB166, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28168, 416, 28110])).
% 83.72/53.29 tff(28170,plain,
% 83.72/53.29 (~v90(constB166, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28169, 28162])).
% 83.72/53.29 tff(28171,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28172,plain,
% 83.72/53.29 (((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))) <=> (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28173,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))))),
% 83.72/53.29 inference(monotonicity,[status(thm)],[28172])).
% 83.72/53.29 tff(28174,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 83.72/53.29 inference(transitivity,[status(thm)],[28173, 28171])).
% 83.72/53.29 tff(28175,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28176,plain,
% 83.72/53.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28175, 28174])).
% 83.72/53.29 tff(28177,plain,
% 83.72/53.29 (v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28176, 119, 28124])).
% 83.72/53.29 tff(28178,plain,
% 83.72/53.29 (v90(constB166, 1) | (~v90(constB167, 1))),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28177, 28136])).
% 83.72/53.29 tff(28179,plain,
% 83.72/53.29 (~v90(constB167, 1)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28178, 28170])).
% 83.72/53.29 tff(28180,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28181,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28182,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28181, 28180])).
% 83.72/53.29 tff(28183,plain,
% 83.72/53.29 (v130(constB165, 0)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28182, 1664, 27788])).
% 83.72/53.29 tff(28184,plain,
% 83.72/53.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 83.72/53.29 inference(rewrite,[status(thm)],[])).
% 83.72/53.29 tff(28185,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 83.72/53.29 inference(quant_inst,[status(thm)],[])).
% 83.72/53.29 tff(28186,plain,
% 83.72/53.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0)),
% 83.72/53.29 inference(modus_ponens,[status(thm)],[28185, 28184])).
% 83.72/53.29 tff(28187,plain,
% 83.72/53.29 ((~v130(constB165, 0)) | v127(constB165, 0)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28186, 478, 27796])).
% 83.72/53.29 tff(28188,plain,
% 83.72/53.29 (v127(constB165, 0)),
% 83.72/53.29 inference(unit_resolution,[status(thm)],[28187, 28183])).
% 83.72/53.29 tff(28189,plain,
% 83.72/53.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28190,plain,
% 83.72/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 83.72/53.30 inference(quant_inst,[status(thm)],[])).
% 83.72/53.30 tff(28191,plain,
% 83.72/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0)),
% 83.72/53.30 inference(modus_ponens,[status(thm)],[28190, 28189])).
% 83.72/53.30 tff(28192,plain,
% 83.72/53.30 ((~v127(constB165, 0)) | v129(constB166, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28191, 493, 27804])).
% 83.72/53.30 tff(28193,plain,
% 83.72/53.30 (v129(constB166, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28192, 28188])).
% 83.72/53.30 tff(28194,plain,
% 83.72/53.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28195,plain,
% 83.72/53.30 ((v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0))) <=> (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28196,plain,
% 83.72/53.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))))),
% 83.72/53.30 inference(monotonicity,[status(thm)],[28195])).
% 83.72/53.30 tff(28197,plain,
% 83.72/53.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 83.72/53.30 inference(transitivity,[status(thm)],[28196, 28194])).
% 83.72/53.30 tff(28198,plain,
% 83.72/53.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))),
% 83.72/53.30 inference(quant_inst,[status(thm)],[])).
% 83.72/53.30 tff(28199,plain,
% 83.72/53.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))),
% 83.72/53.30 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 83.72/53.30 tff(28200,plain,
% 83.72/53.30 (v90(constB166, 0) | (~v129(constB166, 0))),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28199, 508, 28110])).
% 83.72/53.30 tff(28201,plain,
% 83.72/53.30 (v90(constB166, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28200, 28193])).
% 83.72/53.30 tff(28202,plain,
% 83.72/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28203,plain,
% 83.72/53.30 (((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)) <=> ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28204,plain,
% 83.72/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)))),
% 83.72/53.30 inference(monotonicity,[status(thm)],[28203])).
% 83.72/53.30 tff(28205,plain,
% 83.72/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 83.72/53.30 inference(transitivity,[status(thm)],[28204, 28202])).
% 83.72/53.30 tff(28206,plain,
% 83.72/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))),
% 83.72/53.30 inference(quant_inst,[status(thm)],[])).
% 83.72/53.30 tff(28207,plain,
% 83.72/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)),
% 83.72/53.30 inference(modus_ponens,[status(thm)],[28206, 28205])).
% 83.72/53.30 tff(28208,plain,
% 83.72/53.30 ((~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28207, 526, 28124])).
% 83.72/53.30 tff(28209,plain,
% 83.72/53.30 ((~v90(constB166, 0)) | v90(constB167, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28208, 28136])).
% 83.72/53.30 tff(28210,plain,
% 83.72/53.30 (v90(constB167, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28209, 28201])).
% 83.72/53.30 tff(28211,plain,
% 83.72/53.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28212,plain,
% 83.72/53.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 83.72/53.30 inference(quant_inst,[status(thm)],[])).
% 83.72/53.30 tff(28213,plain,
% 83.72/53.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167)),
% 83.72/53.30 inference(modus_ponens,[status(thm)],[28212, 28211])).
% 83.72/53.30 tff(28214,plain,
% 83.72/53.30 (v124(constB167)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28213, 1705, 28210, 28179, 28145])).
% 83.72/53.30 tff(28215,plain,
% 83.72/53.30 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0)))),
% 83.72/53.30 inference(rewrite,[status(thm)],[])).
% 83.72/53.30 tff(28216,plain,
% 83.72/53.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))),
% 83.72/53.30 inference(quant_inst,[status(thm)],[])).
% 83.72/53.30 tff(28217,plain,
% 83.72/53.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0))),
% 83.72/53.30 inference(modus_ponens,[status(thm)],[28216, 28215])).
% 83.72/53.30 tff(28218,plain,
% 83.72/53.30 (~v130(constB167, 0)),
% 83.72/53.30 inference(unit_resolution,[status(thm)],[28217, 1882, 28214])).
% 83.72/53.30 tff(28219,assumption,(v26(constB167)), introduced(assumption)).
% 83.72/53.30 tff(28220,plain,
% 83.72/53.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28221,plain,
% 83.73/53.30 ($false),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28220, 19, 28219])).
% 83.73/53.30 tff(28222,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.30 tff(28223,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28224,plain,
% 83.73/53.30 ((v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0))) <=> ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28225,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28224])).
% 83.73/53.30 tff(28226,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28225, 28223])).
% 83.73/53.30 tff(28227,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28228,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 83.73/53.30 tff(28229,plain,
% 83.73/53.30 ((~v127(constB167, 0)) | v130(constB167, 0)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28228, 896, 28222])).
% 83.73/53.30 tff(28230,plain,
% 83.73/53.30 (~v127(constB167, 0)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28229, 28218])).
% 83.73/53.30 tff(28231,plain,
% 83.73/53.30 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28232,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 83.73/53.30 tff(28233,plain,
% 83.73/53.30 (nextState(constB167, constB168)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28232, 28231])).
% 83.73/53.30 tff(28234,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28235,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28236,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28235, 28234])).
% 83.73/53.30 tff(28237,plain,
% 83.73/53.30 (v127(constB167, 0) | (~v129(constB168, 0))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28236, 914, 28233])).
% 83.73/53.30 tff(28238,plain,
% 83.73/53.30 (~v129(constB168, 0)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28237, 28230])).
% 83.73/53.30 tff(28239,assumption,(~v90(constB167, 1)), introduced(assumption)).
% 83.73/53.30 tff(28240,assumption,(~v100(constB168)), introduced(assumption)).
% 83.73/53.30 tff(28241,assumption,(~v90(constB168, 1)), introduced(assumption)).
% 83.73/53.30 tff(28242,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28243,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28244,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 83.73/53.30 tff(28245,plain,
% 83.73/53.30 (~v104(constB168)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28244, 306, 28233, 28121])).
% 83.73/53.30 tff(28246,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28247,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28248,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28247, 28246])).
% 83.73/53.30 tff(28249,plain,
% 83.73/53.30 (v102(constB168) | v104(constB168)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28248, 320, 28233])).
% 83.73/53.30 tff(28250,plain,
% 83.73/53.30 (v102(constB168)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28249, 28245])).
% 83.73/53.30 tff(28251,plain,
% 83.73/53.30 (v1(constB168) <=> v1(constB168)),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28252,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 83.73/53.30 tff(28253,plain,
% 83.73/53.30 (v1(constB168)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28252, 28251])).
% 83.73/53.30 tff(28254,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28255,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28256,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28255, 28254])).
% 83.73/53.30 tff(28257,plain,
% 83.73/53.30 (v101(constB168) | (~v102(constB168))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28256, 338, 28233, 28253])).
% 83.73/53.30 tff(28258,plain,
% 83.73/53.30 (v101(constB168)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28257, 28250])).
% 83.73/53.30 tff(28259,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28260,plain,
% 83.73/53.30 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28261,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28260])).
% 83.73/53.30 tff(28262,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28261, 28259])).
% 83.73/53.30 tff(28263,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28264,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28263, 28262])).
% 83.73/53.30 tff(28265,plain,
% 83.73/53.30 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28264, 353, 28233])).
% 83.73/53.30 tff(28266,plain,
% 83.73/53.30 (v100(constB168) | (~v110(constB168))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28265, 28258])).
% 83.73/53.30 tff(28267,plain,
% 83.73/53.30 (~v110(constB168)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28266, 28240])).
% 83.73/53.30 tff(28268,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28269,plain,
% 83.73/53.30 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28270,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28269])).
% 83.73/53.30 tff(28271,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28270, 28268])).
% 83.73/53.30 tff(28272,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28273,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28272, 28271])).
% 83.73/53.30 tff(28274,plain,
% 83.73/53.30 (v110(constB168) | (~v108(constB167))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28273, 288, 28233])).
% 83.73/53.30 tff(28275,plain,
% 83.73/53.30 (~v108(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28274, 28267])).
% 83.73/53.30 tff(28276,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28277,plain,
% 83.73/53.30 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28278,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28277])).
% 83.73/53.30 tff(28279,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28278, 28276])).
% 83.73/53.30 tff(28280,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28281,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 83.73/53.30 tff(28282,plain,
% 83.73/53.30 (~v112(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28281, 268, 28275])).
% 83.73/53.30 tff(28283,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28284,plain,
% 83.73/53.30 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28285,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28284])).
% 83.73/53.30 tff(28286,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28285, 28283])).
% 83.73/53.30 tff(28287,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28288,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28287, 28286])).
% 83.73/53.30 tff(28289,plain,
% 83.73/53.30 (v112(constB167) | (~v113(constB167))),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28288, 256, 28222])).
% 83.73/53.30 tff(28290,plain,
% 83.73/53.30 (~v113(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28289, 28282])).
% 83.73/53.30 tff(28291,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28292,plain,
% 83.73/53.30 (((~v114(constB167)) | v113(constB167)) <=> (v113(constB167) | (~v114(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28293,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB167) | (~v114(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28292])).
% 83.73/53.30 tff(28294,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28293, 28291])).
% 83.73/53.30 tff(28295,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28296,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB167) | (~v114(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 83.73/53.30 tff(28297,plain,
% 83.73/53.30 (~v114(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28296, 242, 28290])).
% 83.73/53.30 tff(28298,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28299,plain,
% 83.73/53.30 (((~v115(constB167)) | v114(constB167)) <=> (v114(constB167) | (~v115(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28300,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v115(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28299])).
% 83.73/53.30 tff(28301,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28300, 28298])).
% 83.73/53.30 tff(28302,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB167)) | v114(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28303,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v115(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28302, 28301])).
% 83.73/53.30 tff(28304,plain,
% 83.73/53.30 (~v115(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28303, 228, 28297])).
% 83.73/53.30 tff(28305,assumption,(~v90(constB168, 2)), introduced(assumption)).
% 83.73/53.30 tff(28306,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28307,plain,
% 83.73/53.30 (((~nextState(constB167, constB168)) | (~v90(constB167, 2)) | v100(constB168) | v90(constB168, 2)) <=> ((~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28308,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 2)) | v100(constB168) | v90(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2)))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28307])).
% 83.73/53.30 tff(28309,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 2)) | v100(constB168) | v90(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28308, 28306])).
% 83.73/53.30 tff(28310,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 2)) | v100(constB168) | v90(constB168, 2))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28311,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB167, 2)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 2)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 83.73/53.30 tff(28312,plain,
% 83.73/53.30 ((~v90(constB167, 2)) | v100(constB168) | v90(constB168, 2)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28311, 1374, 28233])).
% 83.73/53.30 tff(28313,plain,
% 83.73/53.30 (~v90(constB167, 2)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28312, 28240, 28305])).
% 83.73/53.30 tff(28314,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28315,plain,
% 83.73/53.30 (((~nextState(constB167, constB168)) | (~v90(constB167, 1)) | v100(constB168) | v90(constB168, 1)) <=> ((~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28316,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 1)) | v100(constB168) | v90(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1)))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28315])).
% 83.73/53.30 tff(28317,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 1)) | v100(constB168) | v90(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28316, 28314])).
% 83.73/53.30 tff(28318,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 1)) | v100(constB168) | v90(constB168, 1))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28319,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB167, 1)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 1)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28318, 28317])).
% 83.73/53.30 tff(28320,plain,
% 83.73/53.30 ((~v90(constB167, 1)) | v100(constB168) | v90(constB168, 1)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28319, 866, 28233])).
% 83.73/53.30 tff(28321,plain,
% 83.73/53.30 (~v90(constB167, 1)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28320, 28240, 28241])).
% 83.73/53.30 tff(28322,assumption,(~v90(constB168, 0)), introduced(assumption)).
% 83.73/53.30 tff(28323,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28324,plain,
% 83.73/53.30 (((~nextState(constB167, constB168)) | (~v90(constB167, 0)) | v100(constB168) | v90(constB168, 0)) <=> ((~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28325,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 0)) | v100(constB168) | v90(constB168, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0)))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28324])).
% 83.73/53.30 tff(28326,plain,
% 83.73/53.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 0)) | v100(constB168) | v90(constB168, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28325, 28323])).
% 83.73/53.30 tff(28327,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB167, constB168)) | (~v90(constB167, 0)) | v100(constB168) | v90(constB168, 0))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28328,plain,
% 83.73/53.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB167, 0)) | (~nextState(constB167, constB168)) | v100(constB168) | v90(constB168, 0)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28327, 28326])).
% 83.73/53.30 tff(28329,plain,
% 83.73/53.30 ((~v90(constB167, 0)) | v100(constB168) | v90(constB168, 0)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28328, 526, 28233])).
% 83.73/53.30 tff(28330,plain,
% 83.73/53.30 (~v90(constB167, 0)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28329, 28240, 28322])).
% 83.73/53.30 tff(28331,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28332,plain,
% 83.73/53.30 ((v90(constB167, 0) | v119(constB167) | v90(constB167, 1) | v90(constB167, 2)) <=> (v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28333,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB167, 0) | v119(constB167) | v90(constB167, 1) | v90(constB167, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167)))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28332])).
% 83.73/53.30 tff(28334,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB167, 0) | v119(constB167) | v90(constB167, 1) | v90(constB167, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28333, 28331])).
% 83.73/53.30 tff(28335,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB167, 0) | v119(constB167) | v90(constB167, 1) | v90(constB167, 2))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28336,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB167, 0) | v90(constB167, 1) | v90(constB167, 2) | v119(constB167)),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 83.73/53.30 tff(28337,plain,
% 83.73/53.30 (v119(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28336, 161, 28330, 28321, 28313])).
% 83.73/53.30 tff(28338,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v119(constB167)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28339,plain,
% 83.73/53.30 (((~v119(constB167)) | v118(constB167)) <=> (v118(constB167) | (~v119(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28340,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v119(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28339])).
% 83.73/53.30 tff(28341,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167)))),
% 83.73/53.30 inference(transitivity,[status(thm)],[28340, 28338])).
% 83.73/53.30 tff(28342,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB167)) | v118(constB167))),
% 83.73/53.30 inference(quant_inst,[status(thm)],[])).
% 83.73/53.30 tff(28343,plain,
% 83.73/53.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v119(constB167))),
% 83.73/53.30 inference(modus_ponens,[status(thm)],[28342, 28341])).
% 83.73/53.30 tff(28344,plain,
% 83.73/53.30 (v118(constB167)),
% 83.73/53.30 inference(unit_resolution,[status(thm)],[28343, 175, 28337])).
% 83.73/53.30 tff(28345,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28346,plain,
% 83.73/53.30 (((~v118(constB167)) | v117(constB167)) <=> (v117(constB167) | (~v118(constB167)))),
% 83.73/53.30 inference(rewrite,[status(thm)],[])).
% 83.73/53.30 tff(28347,plain,
% 83.73/53.30 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB167) | (~v118(constB167))))),
% 83.73/53.30 inference(monotonicity,[status(thm)],[28346])).
% 83.73/53.30 tff(28348,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28347, 28345])).
% 83.73/53.31 tff(28349,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB167)) | v117(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28350,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB167) | (~v118(constB167))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 83.73/53.31 tff(28351,plain,
% 83.73/53.31 (v117(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28350, 186, 28344])).
% 83.73/53.31 tff(28352,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB167)) | v116(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28353,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB167)) | v116(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28354,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB167)) | v116(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28353, 28352])).
% 83.73/53.31 tff(28355,plain,
% 83.73/53.31 (v116(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28354, 200, 28351])).
% 83.73/53.31 tff(28356,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB167)) | v115(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28357,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB167)) | v115(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28358,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB167)) | v115(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 83.73/53.31 tff(28359,plain,
% 83.73/53.31 ($false),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28358, 214, 28304, 28355])).
% 83.73/53.31 tff(28360,plain,(v100(constB168) | v90(constB168, 2) | v90(constB168, 1) | v90(constB168, 0)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.31 tff(28361,plain,
% 83.73/53.31 (v100(constB168)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28360, 28322, 28241, 28305])).
% 83.73/53.31 tff(28362,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28363,plain,
% 83.73/53.31 ((v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1))) <=> (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28364,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28363])).
% 83.73/53.31 tff(28365,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28364, 28362])).
% 83.73/53.31 tff(28366,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28367,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28366, 28365])).
% 83.73/53.31 tff(28368,plain,
% 83.73/53.31 ((~v129(constB168, 1)) | (~v100(constB168))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28367, 848, 28241])).
% 83.73/53.31 tff(28369,plain,
% 83.73/53.31 (~v129(constB168, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28368, 28361])).
% 83.73/53.31 tff(28370,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28371,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28372,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 83.73/53.31 tff(28373,plain,
% 83.73/53.31 ((~v127(constB167, 1)) | v129(constB168, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28372, 833, 28233])).
% 83.73/53.31 tff(28374,plain,
% 83.73/53.31 (~v127(constB167, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28373, 28369])).
% 83.73/53.31 tff(28375,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28376,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28377,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 83.73/53.31 tff(28378,plain,
% 83.73/53.31 ((~v130(constB167, 1)) | v127(constB167, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28377, 818, 28222])).
% 83.73/53.31 tff(28379,plain,
% 83.73/53.31 (~v130(constB167, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28378, 28374])).
% 83.73/53.31 tff(28380,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB167)) | v130(constB167, 1))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28381,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB167)) | v130(constB167, 1))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28382,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB167)) | v130(constB167, 1)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28381, 28380])).
% 83.73/53.31 tff(28383,plain,
% 83.73/53.31 (~v120(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28382, 804, 28379])).
% 83.73/53.31 tff(28384,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB167)) | v130(constB167, 1))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28385,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB167)) | v130(constB167, 1))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28386,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB167)) | v130(constB167, 1)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28385, 28384])).
% 83.73/53.31 tff(28387,plain,
% 83.73/53.31 (~v121(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28386, 1108, 28379])).
% 83.73/53.31 tff(28388,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28389,plain,
% 83.73/53.31 ((v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2))) <=> (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28390,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28389])).
% 83.73/53.31 tff(28391,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28390, 28388])).
% 83.73/53.31 tff(28392,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28393,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28392, 28391])).
% 83.73/53.31 tff(28394,plain,
% 83.73/53.31 ((~v129(constB168, 2)) | (~v100(constB168))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28393, 1338, 28305])).
% 83.73/53.31 tff(28395,plain,
% 83.73/53.31 (~v129(constB168, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28394, 28361])).
% 83.73/53.31 tff(28396,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28397,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28398,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28397, 28396])).
% 83.73/53.31 tff(28399,plain,
% 83.73/53.31 ((~v127(constB167, 2)) | v129(constB168, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28398, 1230, 28233])).
% 83.73/53.31 tff(28400,plain,
% 83.73/53.31 (~v127(constB167, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28399, 28395])).
% 83.73/53.31 tff(28401,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28402,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28403,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 83.73/53.31 tff(28404,plain,
% 83.73/53.31 ((~v130(constB167, 2)) | v127(constB167, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28403, 1212, 28222])).
% 83.73/53.31 tff(28405,plain,
% 83.73/53.31 (~v130(constB167, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28404, 28400])).
% 83.73/53.31 tff(28406,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28407,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28408,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB167)) | v130(constB167, 2)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 83.73/53.31 tff(28409,plain,
% 83.73/53.31 (~v122(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28408, 1198, 28405])).
% 83.73/53.31 tff(28410,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28411,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28412,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB167)) | v130(constB167, 2)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28411, 28410])).
% 83.73/53.31 tff(28413,plain,
% 83.73/53.31 (~v123(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28412, 1567, 28405])).
% 83.73/53.31 tff(28414,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28415,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28416,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28415, 28414])).
% 83.73/53.31 tff(28417,plain,
% 83.73/53.31 (~v124(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28416, 1716, 28405])).
% 83.73/53.31 tff(28418,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28419,plain,
% 83.73/53.31 ((v90(constB168, 0) | (~v100(constB168)) | (~v129(constB168, 0))) <=> (v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28420,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB168, 0) | (~v100(constB168)) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28419])).
% 83.73/53.31 tff(28421,plain,
% 83.73/53.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB168, 0) | (~v100(constB168)) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28420, 28418])).
% 83.73/53.31 tff(28422,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB168, 0) | (~v100(constB168)) | (~v129(constB168, 0)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28423,plain,
% 83.73/53.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB168, 0) | (~v129(constB168, 0)) | (~v100(constB168))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28422, 28421])).
% 83.73/53.31 tff(28424,plain,
% 83.73/53.31 ((~v129(constB168, 0)) | (~v100(constB168))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28423, 508, 28322])).
% 83.73/53.31 tff(28425,plain,
% 83.73/53.31 (~v129(constB168, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28424, 28361])).
% 83.73/53.31 tff(28426,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 0)) | v129(constB168, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB167, constB168)) | (~v127(constB167, 0)) | v129(constB168, 0))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28427,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 0)) | v129(constB168, 0))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28428,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB167, constB168)) | (~v127(constB167, 0)) | v129(constB168, 0)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28427, 28426])).
% 83.73/53.31 tff(28429,plain,
% 83.73/53.31 ((~v127(constB167, 0)) | v129(constB168, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28428, 493, 28233])).
% 83.73/53.31 tff(28430,plain,
% 83.73/53.31 (~v127(constB167, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28429, 28425])).
% 83.73/53.31 tff(28431,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28432,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28433,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28432, 28431])).
% 83.73/53.31 tff(28434,plain,
% 83.73/53.31 ((~v130(constB167, 0)) | v127(constB167, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28433, 478, 28222])).
% 83.73/53.31 tff(28435,plain,
% 83.73/53.31 (~v130(constB167, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28434, 28430])).
% 83.73/53.31 tff(28436,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28437,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28438,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28437, 28436])).
% 83.73/53.31 tff(28439,plain,
% 83.73/53.31 (v119(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28438, 2180, 28435, 28417, 28413, 28409, 28387, 28383])).
% 83.73/53.31 tff(28440,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB167)) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB167)) | v130(constB167, 0))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28441,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB167)) | v130(constB167, 0))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28442,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB167)) | v130(constB167, 0)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28441, 28440])).
% 83.73/53.31 tff(28443,plain,
% 83.73/53.31 ($false),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28442, 464, 28435, 28439])).
% 83.73/53.31 tff(28444,plain,(v90(constB168, 0) | v90(constB168, 1) | v90(constB168, 2)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.31 tff(28445,plain,
% 83.73/53.31 (v90(constB168, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28444, 28241, 28305])).
% 83.73/53.31 tff(28446,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28447,plain,
% 83.73/53.31 (((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0))) <=> (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28448,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28447])).
% 83.73/53.31 tff(28449,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28448, 28446])).
% 83.73/53.31 tff(28450,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28451,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28450, 28449])).
% 83.73/53.31 tff(28452,plain,
% 83.73/53.31 (v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28451, 140, 28233])).
% 83.73/53.31 tff(28453,plain,
% 83.73/53.31 (v90(constB167, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28452, 28240, 28445])).
% 83.73/53.31 tff(28454,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | v90(constB167, 2) | v120(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | v90(constB167, 2) | v120(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28455,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | v90(constB167, 2) | v120(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28456,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | v90(constB167, 2) | v120(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 83.73/53.31 tff(28457,plain,
% 83.73/53.31 (v120(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28456, 614, 28453, 28321, 28313])).
% 83.73/53.31 tff(28458,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v120(constB167)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v120(constB167)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28459,plain,
% 83.73/53.31 (((~v120(constB167)) | v118(constB167)) <=> (v118(constB167) | (~v120(constB167)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28460,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB167) | (~v120(constB167))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28459])).
% 83.73/53.31 tff(28461,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v120(constB167)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28460, 28458])).
% 83.73/53.31 tff(28462,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB167)) | v118(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28463,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB167) | (~v120(constB167))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28462, 28461])).
% 83.73/53.31 tff(28464,plain,
% 83.73/53.31 (v118(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28463, 628, 28457])).
% 83.73/53.31 tff(28465,plain,
% 83.73/53.31 (v117(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28350, 186, 28464])).
% 83.73/53.31 tff(28466,plain,
% 83.73/53.31 (v116(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28354, 200, 28465])).
% 83.73/53.31 tff(28467,plain,
% 83.73/53.31 ($false),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28358, 214, 28466, 28304])).
% 83.73/53.31 tff(28468,plain,(v100(constB168) | v90(constB168, 2) | v90(constB168, 1)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.31 tff(28469,plain,
% 83.73/53.31 (v90(constB168, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28468, 28241, 28240])).
% 83.73/53.31 tff(28470,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28471,plain,
% 83.73/53.31 (((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2))) <=> (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28472,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28471])).
% 83.73/53.31 tff(28473,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28472, 28470])).
% 83.73/53.31 tff(28474,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28475,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28474, 28473])).
% 83.73/53.31 tff(28476,plain,
% 83.73/53.31 (v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28475, 98, 28233])).
% 83.73/53.31 tff(28477,plain,
% 83.73/53.31 (v90(constB167, 2)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28476, 28469, 28240])).
% 83.73/53.31 tff(28478,plain,
% 83.73/53.31 (~v90(constB167, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28320, 28241, 28240])).
% 83.73/53.31 tff(28479,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28480,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28481,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB167)) | v114(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28480, 28479])).
% 83.73/53.31 tff(28482,plain,
% 83.73/53.31 (~v124(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28481, 1741, 28297])).
% 83.73/53.31 tff(28483,plain,
% 83.73/53.31 ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28213, 1705, 28482])).
% 83.73/53.31 tff(28484,plain,
% 83.73/53.31 (~v90(constB167, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28483, 28478, 28477])).
% 83.73/53.31 tff(28485,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB167)) | v115(constB167))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB167)) | v115(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28486,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB167)) | v115(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28487,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB167)) | v115(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28486, 28485])).
% 83.73/53.31 tff(28488,plain,
% 83.73/53.31 (~v123(constB167)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28487, 1486, 28304])).
% 83.73/53.31 tff(28489,plain,
% 83.73/53.31 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB167, 0) | v90(constB167, 1) | (~v90(constB167, 2)) | v123(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB167, 0) | v90(constB167, 1) | (~v90(constB167, 2)) | v123(constB167))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28490,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB167, 0) | v90(constB167, 1) | (~v90(constB167, 2)) | v123(constB167))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28491,plain,
% 83.73/53.31 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB167, 0) | v90(constB167, 1) | (~v90(constB167, 2)) | v123(constB167)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28490, 28489])).
% 83.73/53.31 tff(28492,plain,
% 83.73/53.31 (v90(constB167, 0) | v90(constB167, 1) | (~v90(constB167, 2))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28491, 1475, 28488])).
% 83.73/53.31 tff(28493,plain,
% 83.73/53.31 ($false),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28492, 28484, 28478, 28477])).
% 83.73/53.31 tff(28494,plain,(v90(constB168, 1) | v100(constB168)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.31 tff(28495,plain,
% 83.73/53.31 (v90(constB168, 1)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28494, 28240])).
% 83.73/53.31 tff(28496,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28497,plain,
% 83.73/53.31 (((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1))) <=> (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28498,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28497])).
% 83.73/53.31 tff(28499,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28498, 28496])).
% 83.73/53.31 tff(28500,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28501,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28500, 28499])).
% 83.73/53.31 tff(28502,plain,
% 83.73/53.31 (v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28501, 119, 28233])).
% 83.73/53.31 tff(28503,plain,
% 83.73/53.31 ($false),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28502, 28495, 28240, 28239])).
% 83.73/53.31 tff(28504,plain,(v100(constB168) | v90(constB167, 1)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.31 tff(28505,plain,
% 83.73/53.31 (v100(constB168)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28504, 28179])).
% 83.73/53.31 tff(28506,plain,
% 83.73/53.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28507,plain,
% 83.73/53.31 (((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0)) <=> ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28508,plain,
% 83.73/53.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28507])).
% 83.73/53.31 tff(28509,plain,
% 83.73/53.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28508, 28506])).
% 83.73/53.31 tff(28510,plain,
% 83.73/53.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28511,plain,
% 83.73/53.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28510, 28509])).
% 83.73/53.31 tff(28512,plain,
% 83.73/53.31 ((~v90(constB168, 0)) | v129(constB168, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28511, 929, 28505])).
% 83.73/53.31 tff(28513,plain,
% 83.73/53.31 (~v90(constB168, 0)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28512, 28238])).
% 83.73/53.31 tff(28514,plain,
% 83.73/53.31 ((~v1(constB169)) <=> (~v1(constB169))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28515,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 83.73/53.31 tff(28516,plain,
% 83.73/53.31 (~v1(constB169)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 83.73/53.31 tff(28517,plain,
% 83.73/53.31 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28518,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 83.73/53.31 tff(28519,plain,
% 83.73/53.31 (nextState(constB168, constB169)),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28518, 28517])).
% 83.73/53.31 tff(28520,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28521,plain,
% 83.73/53.31 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28522,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 83.73/53.31 inference(monotonicity,[status(thm)],[28521])).
% 83.73/53.31 tff(28523,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 83.73/53.31 inference(transitivity,[status(thm)],[28522, 28520])).
% 83.73/53.31 tff(28524,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28525,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 83.73/53.31 tff(28526,plain,
% 83.73/53.31 (~v101(constB169)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28525, 66, 28519, 28516])).
% 83.73/53.31 tff(28527,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28528,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 83.73/53.31 inference(quant_inst,[status(thm)],[])).
% 83.73/53.31 tff(28529,plain,
% 83.73/53.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 83.73/53.31 inference(modus_ponens,[status(thm)],[28528, 28527])).
% 83.73/53.31 tff(28530,plain,
% 83.73/53.31 (v101(constB169) | (~v100(constB169))),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28529, 83, 28519])).
% 83.73/53.31 tff(28531,plain,
% 83.73/53.31 (~v100(constB169)),
% 83.73/53.31 inference(unit_resolution,[status(thm)],[28530, 28526])).
% 83.73/53.31 tff(28532,plain,
% 83.73/53.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 83.73/53.31 inference(rewrite,[status(thm)],[])).
% 83.73/53.31 tff(28533,plain,
% 83.73/53.31 (((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))) <=> (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28534,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28533])).
% 83.73/53.32 tff(28535,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28534, 28532])).
% 83.73/53.32 tff(28536,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28537,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 83.73/53.32 tff(28538,plain,
% 83.73/53.32 (v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28537, 140, 28519])).
% 83.73/53.32 tff(28539,plain,
% 83.73/53.32 (v90(constB168, 0) | (~v90(constB169, 0))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28538, 28531])).
% 83.73/53.32 tff(28540,plain,
% 83.73/53.32 (~v90(constB169, 0)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28539, 28513])).
% 83.73/53.32 tff(28541,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28542,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28543,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 83.73/53.32 tff(28544,plain,
% 83.73/53.32 (~v88(constB169, 0)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28543, 3705, 28540])).
% 83.73/53.32 tff(28545,plain,
% 83.73/53.32 (v130(constB167, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28416, 1716, 28214])).
% 83.73/53.32 tff(28546,plain,
% 83.73/53.32 (v127(constB167, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28404, 28545])).
% 83.73/53.32 tff(28547,plain,
% 83.73/53.32 (v129(constB168, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28399, 28546])).
% 83.73/53.32 tff(28548,plain,
% 83.73/53.32 (v90(constB168, 2) | (~v129(constB168, 2))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28393, 1338, 28505])).
% 83.73/53.32 tff(28549,plain,
% 83.73/53.32 (v90(constB168, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28548, 28547])).
% 83.73/53.32 tff(28550,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28551,plain,
% 83.73/53.32 (((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)) <=> ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28552,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28551])).
% 83.73/53.32 tff(28553,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28552, 28550])).
% 83.73/53.32 tff(28554,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28555,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28554, 28553])).
% 83.73/53.32 tff(28556,plain,
% 83.73/53.32 ((~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28555, 1374, 28519])).
% 83.73/53.32 tff(28557,plain,
% 83.73/53.32 ((~v90(constB168, 2)) | v90(constB169, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28556, 28531])).
% 83.73/53.32 tff(28558,plain,
% 83.73/53.32 (v90(constB169, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28557, 28549])).
% 83.73/53.32 tff(28559,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28560,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28561,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28560, 28559])).
% 83.73/53.32 tff(28562,plain,
% 83.73/53.32 (v88(constB169, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28561, 3716, 28558])).
% 83.73/53.32 tff(28563,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28564,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28565,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28564, 28563])).
% 83.73/53.32 tff(28566,plain,
% 83.73/53.32 (v130(constB167, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28565, 1767, 28214])).
% 83.73/53.32 tff(28567,plain,
% 83.73/53.32 (v127(constB167, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28378, 28566])).
% 83.73/53.32 tff(28568,plain,
% 83.73/53.32 (v129(constB168, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28373, 28567])).
% 83.73/53.32 tff(28569,plain,
% 83.73/53.32 (v90(constB168, 1) | (~v129(constB168, 1))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28367, 848, 28505])).
% 83.73/53.32 tff(28570,plain,
% 83.73/53.32 (v90(constB168, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28569, 28568])).
% 83.73/53.32 tff(28571,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28572,plain,
% 83.73/53.32 (((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)) <=> ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28573,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28572])).
% 83.73/53.32 tff(28574,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28573, 28571])).
% 83.73/53.32 tff(28575,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28576,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28575, 28574])).
% 83.73/53.32 tff(28577,plain,
% 83.73/53.32 ((~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28576, 866, 28519])).
% 83.73/53.32 tff(28578,plain,
% 83.73/53.32 ((~v90(constB168, 1)) | v90(constB169, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28577, 28531])).
% 83.73/53.32 tff(28579,plain,
% 83.73/53.32 (v90(constB169, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28578, 28570])).
% 83.73/53.32 tff(28580,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28581,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28582,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28581, 28580])).
% 83.73/53.32 tff(28583,plain,
% 83.73/53.32 (v88(constB169, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28582, 3727, 28579])).
% 83.73/53.32 tff(28584,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28585,plain,
% 83.73/53.32 (((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169)) <=> (v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28586,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28585])).
% 83.73/53.32 tff(28587,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28586, 28584])).
% 83.73/53.32 tff(28588,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28589,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB169) | (~v88(constB169, 2)) | v88(constB169, 0) | (~v88(constB169, 1))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28588, 28587])).
% 83.73/53.32 tff(28590,plain,
% 83.73/53.32 (v144(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28589, 3741, 28583, 28562, 28544])).
% 83.73/53.32 tff(28591,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB169) | (~v144(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28592,plain,
% 83.73/53.32 (((~v144(constB169)) | v142(constB169)) <=> (v142(constB169) | (~v144(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28593,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB169) | (~v144(constB169))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28592])).
% 83.73/53.32 tff(28594,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB169) | (~v144(constB169)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28593, 28591])).
% 83.73/53.32 tff(28595,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28596,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB169) | (~v144(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28595, 28594])).
% 83.73/53.32 tff(28597,plain,
% 83.73/53.32 (v142(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28596, 3755, 28590])).
% 83.73/53.32 tff(28598,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28599,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB169)) | v148(constB169))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28600,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB169)) | v148(constB169)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28599, 28598])).
% 83.73/53.32 tff(28601,plain,
% 83.73/53.32 (v148(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28600, 15914, 28597])).
% 83.73/53.32 tff(28602,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB169) | (~v142(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28603,plain,
% 83.73/53.32 (((~v142(constB169)) | v227(constB169)) <=> (v227(constB169) | (~v142(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28604,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB169)) | v227(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB169) | (~v142(constB169))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28603])).
% 83.73/53.32 tff(28605,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB169)) | v227(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB169) | (~v142(constB169)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28604, 28602])).
% 83.73/53.32 tff(28606,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB169)) | v227(constB169))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28607,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB169) | (~v142(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28606, 28605])).
% 83.73/53.32 tff(28608,plain,
% 83.73/53.32 (v227(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28607, 3766, 28597])).
% 83.73/53.32 tff(28609,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB169) | (~v227(constB169)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB169) | (~v227(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28610,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB169) | (~v227(constB169)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28611,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB169) | (~v227(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28610, 28609])).
% 83.73/53.32 tff(28612,plain,
% 83.73/53.32 (v226(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28611, 3517, 28608])).
% 83.73/53.32 tff(28613,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB169) | (~v226(constB169)) | (~v148(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB169) | (~v226(constB169)) | (~v148(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28614,plain,
% 83.73/53.32 (((~v148(constB169)) | v86(constB169) | (~v226(constB169))) <=> (v86(constB169) | (~v226(constB169)) | (~v148(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28615,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v226(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB169) | (~v226(constB169)) | (~v148(constB169))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28614])).
% 83.73/53.32 tff(28616,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v226(constB169)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB169) | (~v226(constB169)) | (~v148(constB169)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28615, 28613])).
% 83.73/53.32 tff(28617,plain,
% 83.73/53.32 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB169)) | v86(constB169) | (~v226(constB169)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28618,plain,
% 83.73/53.32 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB169) | (~v226(constB169)) | (~v148(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28617, 28616])).
% 83.73/53.32 tff(28619,plain,
% 83.73/53.32 (v86(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28618, 15936, 28612, 28601])).
% 83.73/53.32 tff(28620,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB169)) | (~v86(constB169)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB169)) | (~v86(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28621,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB169)) | (~v86(constB169)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28622,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB169)) | (~v86(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 83.73/53.32 tff(28623,plain,
% 83.73/53.32 (~v295(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28622, 15950, 28619])).
% 83.73/53.32 tff(28624,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB169) | (~v294(constB169)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB169) | (~v294(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28625,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB169) | (~v294(constB169)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28626,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB169) | (~v294(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 83.73/53.32 tff(28627,plain,
% 83.73/53.32 (~v294(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28626, 15964, 28623])).
% 83.73/53.32 tff(28628,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB169) | (~v307(constB169)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB169) | (~v307(constB169)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28629,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB169) | (~v307(constB169)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28630,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB169) | (~v307(constB169))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28629, 28628])).
% 83.73/53.32 tff(28631,plain,
% 83.73/53.32 (~v307(constB169)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28630, 22640, 28627])).
% 83.73/53.32 tff(28632,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB165, 2)) | v88(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB165, 2)) | v88(constB165, 2))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28633,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB165, 2)) | v88(constB165, 2))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28634,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB165, 2)) | v88(constB165, 2)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 83.73/53.32 tff(28635,plain,
% 83.73/53.32 (v88(constB165, 2)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28634, 3716, 27716])).
% 83.73/53.32 tff(28636,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB165)) | (~v88(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB165)) | (~v88(constB165, 2)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28637,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB165)) | (~v88(constB165, 2)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28638,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB165)) | (~v88(constB165, 2))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 83.73/53.32 tff(28639,plain,
% 83.73/53.32 (~v139(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28638, 4139, 28635])).
% 83.73/53.32 tff(28640,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB165)) | (~v88(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB165)) | (~v88(constB165, 2)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28641,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB165)) | (~v88(constB165, 2)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28642,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB165)) | (~v88(constB165, 2))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28641, 28640])).
% 83.73/53.32 tff(28643,plain,
% 83.73/53.32 (~v140(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28642, 4044, 28635])).
% 83.73/53.32 tff(28644,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28645,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28646,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28645, 28644])).
% 83.73/53.32 tff(28647,plain,
% 83.73/53.32 (~v168(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28646, 3983, 28643, 28639])).
% 83.73/53.32 tff(28648,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB165, 1)) | v90(constB165, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB165, 1)) | v90(constB165, 1))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28649,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB165, 1)) | v90(constB165, 1))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28650,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB165, 1)) | v90(constB165, 1)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 83.73/53.32 tff(28651,plain,
% 83.73/53.32 (~v88(constB165, 1)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28650, 3405, 27750])).
% 83.73/53.32 tff(28652,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB165, 0)) | v90(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB165, 0)) | v90(constB165, 0))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28653,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB165, 0)) | v90(constB165, 0))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28654,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB165, 0)) | v90(constB165, 0)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28653, 28652])).
% 83.73/53.32 tff(28655,plain,
% 83.73/53.32 (~v88(constB165, 0)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28654, 3705, 27784])).
% 83.73/53.32 tff(28656,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28657,plain,
% 83.73/53.32 (((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165)) <=> ((~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28658,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0)))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28657])).
% 83.73/53.32 tff(28659,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28658, 28656])).
% 83.73/53.32 tff(28660,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB165, 2)) | v88(constB165, 1) | v88(constB165, 0) | v146(constB165))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28661,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB165, 2)) | v146(constB165) | v88(constB165, 1) | v88(constB165, 0)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 83.73/53.32 tff(28662,plain,
% 83.73/53.32 (v146(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28661, 4169, 28635, 28655, 28651])).
% 83.73/53.32 tff(28663,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB165)) | v145(constB165))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB165)) | v145(constB165))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28664,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB165)) | v145(constB165))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28665,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB165)) | v145(constB165)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28664, 28663])).
% 83.73/53.32 tff(28666,plain,
% 83.73/53.32 (v145(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28665, 4183, 28662])).
% 83.73/53.32 tff(28667,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB165) | (~v145(constB165)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB165) | (~v145(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28668,plain,
% 83.73/53.32 (((~v145(constB165)) | v226(constB165)) <=> (v226(constB165) | (~v145(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28669,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB165)) | v226(constB165))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB165) | (~v145(constB165))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28668])).
% 83.73/53.32 tff(28670,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB165)) | v226(constB165))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB165) | (~v145(constB165)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28669, 28667])).
% 83.73/53.32 tff(28671,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB165)) | v226(constB165))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28672,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB165) | (~v145(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28671, 28670])).
% 83.73/53.32 tff(28673,plain,
% 83.73/53.32 (v226(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28672, 4106, 28666])).
% 83.73/53.32 tff(28674,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v226(constB165)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28675,plain,
% 83.73/53.32 (((~v226(constB165)) | v168(constB165) | (~v161(constB165))) <=> ((~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28676,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB165)) | v168(constB165) | (~v161(constB165)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB165)) | v168(constB165) | (~v226(constB165))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28675])).
% 83.73/53.32 tff(28677,plain,
% 83.73/53.32 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB165)) | v168(constB165) | (~v161(constB165)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28676, 28674])).
% 83.73/53.32 tff(28678,plain,
% 83.73/53.32 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB165)) | v168(constB165) | (~v161(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28679,plain,
% 83.73/53.32 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB165)) | v168(constB165) | (~v226(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28678, 28677])).
% 83.73/53.32 tff(28680,plain,
% 83.73/53.32 (~v161(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28679, 3997, 28673, 28647])).
% 83.73/53.32 tff(28681,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28682,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB165) | (~v187(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28683,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB165) | (~v187(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28682, 28681])).
% 83.73/53.32 tff(28684,plain,
% 83.73/53.32 (~v187(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28683, 4015, 28680])).
% 83.73/53.32 tff(28685,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28686,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB165) | (~v185(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28687,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB165) | (~v185(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28686, 28685])).
% 83.73/53.32 tff(28688,plain,
% 83.73/53.32 (~v185(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28687, 4029, 28684])).
% 83.73/53.32 tff(28689,assumption,(v18(constB166)), introduced(assumption)).
% 83.73/53.32 tff(28690,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB166))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28691,plain,
% 83.73/53.32 ($false),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28690, 3600, 28689])).
% 83.73/53.32 tff(28692,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.32 tff(28693,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28694,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28695,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 83.73/53.32 tff(28696,plain,
% 83.73/53.32 (v22(constB166)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28695, 3613, 28096])).
% 83.73/53.32 tff(28697,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28698,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28699,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 83.73/53.32 tff(28700,plain,
% 83.73/53.32 (v18(constB166) | (~v19(constB166))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28699, 3627, 28696])).
% 83.73/53.32 tff(28701,plain,
% 83.73/53.32 (~v19(constB166)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28700, 28692])).
% 83.73/53.32 tff(28702,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28703,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28704,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 83.73/53.32 tff(28705,plain,
% 83.73/53.32 (v13(constB166)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28704, 3639, 28701])).
% 83.73/53.32 tff(28706,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28707,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28708,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28707, 28706])).
% 83.73/53.32 tff(28709,plain,
% 83.73/53.32 (v9(constB165) | (~v13(constB166))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28708, 3653, 27804])).
% 83.73/53.32 tff(28710,plain,
% 83.73/53.32 (v9(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28709, 28705])).
% 83.73/53.32 tff(28711,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28712,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v184(constB165))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28713,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB165) | (~v9(constB165)) | v184(constB165)),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28712, 28711])).
% 83.73/53.32 tff(28714,plain,
% 83.73/53.32 ((~v9(constB165)) | v184(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28713, 3668, 27692])).
% 83.73/53.32 tff(28715,plain,
% 83.73/53.32 (v184(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28714, 28710])).
% 83.73/53.32 tff(28716,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB165) | (~v184(constB165)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB165) | (~v184(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28717,plain,
% 83.73/53.32 (((~v184(constB165)) | v183(constB165)) <=> (v183(constB165) | (~v184(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28718,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB165)) | v183(constB165))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB165) | (~v184(constB165))))),
% 83.73/53.32 inference(monotonicity,[status(thm)],[28717])).
% 83.73/53.32 tff(28719,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB165)) | v183(constB165))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB165) | (~v184(constB165)))),
% 83.73/53.32 inference(transitivity,[status(thm)],[28718, 28716])).
% 83.73/53.32 tff(28720,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB165)) | v183(constB165))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28721,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB165) | (~v184(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 83.73/53.32 tff(28722,plain,
% 83.73/53.32 (v183(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28721, 3680, 28715])).
% 83.73/53.32 tff(28723,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB165)) | (~v183(constB165)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB165)) | (~v183(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28724,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB165)) | (~v183(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28725,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB165)) | (~v183(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 83.73/53.32 tff(28726,plain,
% 83.73/53.32 (~v181(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28725, 4247, 28722])).
% 83.73/53.32 tff(28727,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28728,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB165) | v185(constB165) | (~v178(constB165)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28729,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB165) | v185(constB165) | (~v178(constB165))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28728, 28727])).
% 83.73/53.32 tff(28730,plain,
% 83.73/53.32 (v185(constB165) | (~v178(constB165))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28729, 4261, 28726])).
% 83.73/53.32 tff(28731,plain,
% 83.73/53.32 (~v178(constB165)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28730, 28688])).
% 83.73/53.32 tff(28732,plain,
% 83.73/53.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28733,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28734,plain,
% 83.73/53.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB165, constB166)) | v178(constB165) | (~v180(constB166))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 83.73/53.32 tff(28735,plain,
% 83.73/53.32 (v178(constB165) | (~v180(constB166))),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28734, 4276, 27804])).
% 83.73/53.32 tff(28736,plain,
% 83.73/53.32 (~v180(constB166)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28735, 28731])).
% 83.73/53.32 tff(28737,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166)))),
% 83.73/53.32 inference(rewrite,[status(thm)],[])).
% 83.73/53.32 tff(28738,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB166) | (~v181(constB166)))),
% 83.73/53.32 inference(quant_inst,[status(thm)],[])).
% 83.73/53.32 tff(28739,plain,
% 83.73/53.32 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB166) | (~v181(constB166))),
% 83.73/53.32 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 83.73/53.32 tff(28740,plain,
% 83.73/53.32 (~v181(constB166)),
% 83.73/53.32 inference(unit_resolution,[status(thm)],[28739, 4291, 28736])).
% 83.73/53.32 tff(28741,plain,
% 83.73/53.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28742,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB166)) | (~v184(constB166)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28743,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB166)) | (~v184(constB166))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 83.73/53.33 tff(28744,plain,
% 83.73/53.33 (~v184(constB166)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28743, 3901, 28096])).
% 83.73/53.33 tff(28745,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28746,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB166) | (~v187(constB166)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28747,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB166) | (~v187(constB166))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 83.73/53.33 tff(28748,plain,
% 83.73/53.33 (~v187(constB166)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28747, 4309, 28744])).
% 83.73/53.33 tff(28749,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28750,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB166) | (~v185(constB166)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28751,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB166) | (~v185(constB166))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28750, 28749])).
% 83.73/53.33 tff(28752,plain,
% 83.73/53.33 (~v185(constB166)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28751, 4029, 28748])).
% 83.73/53.33 tff(28753,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28754,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB166) | v185(constB166) | (~v178(constB166)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28755,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB166) | v185(constB166) | (~v178(constB166))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 83.73/53.33 tff(28756,plain,
% 83.73/53.33 (v181(constB166) | (~v178(constB166))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28755, 4261, 28752])).
% 83.73/53.33 tff(28757,plain,
% 83.73/53.33 (~v178(constB166)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28756, 28740])).
% 83.73/53.33 tff(28758,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28759,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28760,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB166, constB167)) | v178(constB166) | (~v180(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28759, 28758])).
% 83.73/53.33 tff(28761,plain,
% 83.73/53.33 (v178(constB166) | (~v180(constB167))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28760, 4276, 28124])).
% 83.73/53.33 tff(28762,plain,
% 83.73/53.33 (~v180(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28761, 28757])).
% 83.73/53.33 tff(28763,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB167) | (~v215(constB167)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB167) | (~v215(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28764,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB167) | (~v215(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28765,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB167) | (~v215(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 83.73/53.33 tff(28766,plain,
% 83.73/53.33 (~v215(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28765, 4427, 28762])).
% 83.73/53.33 tff(28767,assumption,(v18(constB168)), introduced(assumption)).
% 83.73/53.33 tff(28768,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB168))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28769,plain,
% 83.73/53.33 ($false),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28768, 3600, 28767])).
% 83.73/53.33 tff(28770,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.33 tff(28771,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28772,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28773,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28772, 28771])).
% 83.73/53.33 tff(28774,plain,
% 83.73/53.33 (v22(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28773, 3613, 28253])).
% 83.73/53.33 tff(28775,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28776,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28777,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28776, 28775])).
% 83.73/53.33 tff(28778,plain,
% 83.73/53.33 (v18(constB168) | (~v19(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28777, 3627, 28774])).
% 83.73/53.33 tff(28779,plain,
% 83.73/53.33 (~v19(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28778, 28770])).
% 83.73/53.33 tff(28780,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28781,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28782,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28781, 28780])).
% 83.73/53.33 tff(28783,plain,
% 83.73/53.33 (v13(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28782, 3639, 28779])).
% 83.73/53.33 tff(28784,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28785,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28786,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 83.73/53.33 tff(28787,plain,
% 83.73/53.33 (v9(constB167) | (~v13(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28786, 3653, 28233])).
% 83.73/53.33 tff(28788,plain,
% 83.73/53.33 (v9(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28787, 28783])).
% 83.73/53.33 tff(28789,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28790,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v184(constB167))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28791,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB167) | (~v9(constB167)) | v184(constB167)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 83.73/53.33 tff(28792,plain,
% 83.73/53.33 ((~v9(constB167)) | v184(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28791, 3668, 28121])).
% 83.73/53.33 tff(28793,plain,
% 83.73/53.33 (v184(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28792, 28788])).
% 83.73/53.33 tff(28794,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB167)) | v183(constB167))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB167)) | v183(constB167))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28795,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB167)) | v183(constB167))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28796,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB167)) | v183(constB167)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 83.73/53.33 tff(28797,plain,
% 83.73/53.33 (v183(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28796, 3680, 28793])).
% 83.73/53.33 tff(28798,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB167)) | (~v214(constB167)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB167)) | (~v214(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28799,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB167)) | (~v214(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28800,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB167)) | (~v214(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 83.73/53.33 tff(28801,plain,
% 83.73/53.33 (~v214(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28800, 4593, 28797])).
% 83.73/53.33 tff(28802,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB167) | v215(constB167) | (~v211(constB167)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB167) | v215(constB167) | (~v211(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28803,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB167) | v215(constB167) | (~v211(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28804,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB167) | v215(constB167) | (~v211(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28803, 28802])).
% 83.73/53.33 tff(28805,plain,
% 83.73/53.33 (v215(constB167) | (~v211(constB167))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28804, 4607, 28801])).
% 83.73/53.33 tff(28806,plain,
% 83.73/53.33 (~v211(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28805, 28766])).
% 83.73/53.33 tff(28807,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28808,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28809,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB167, constB168)) | v211(constB167) | (~v213(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28808, 28807])).
% 83.73/53.33 tff(28810,plain,
% 83.73/53.33 (v211(constB167) | (~v213(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28809, 4622, 28233])).
% 83.73/53.33 tff(28811,plain,
% 83.73/53.33 (~v213(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28810, 28806])).
% 83.73/53.33 tff(28812,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB168) | (~v214(constB168)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB168) | (~v214(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28813,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB168) | (~v214(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28814,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB168) | (~v214(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28813, 28812])).
% 83.73/53.33 tff(28815,plain,
% 83.73/53.33 (~v214(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28814, 4637, 28811])).
% 83.73/53.33 tff(28816,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28817,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB168)) | (~v184(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28818,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB168)) | (~v184(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28817, 28816])).
% 83.73/53.33 tff(28819,plain,
% 83.73/53.33 (~v184(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28818, 3901, 28253])).
% 83.73/53.33 tff(28820,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB168) | (~v217(constB168)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB168) | (~v217(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28821,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB168) | (~v217(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28822,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB168) | (~v217(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28821, 28820])).
% 83.73/53.33 tff(28823,plain,
% 83.73/53.33 (~v217(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28822, 4651, 28819])).
% 83.73/53.33 tff(28824,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB168) | (~v216(constB168)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB168) | (~v216(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28825,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB168) | (~v216(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28826,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB168) | (~v216(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 83.73/53.33 tff(28827,plain,
% 83.73/53.33 (~v216(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28826, 4565, 28823])).
% 83.73/53.33 tff(28828,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB168) | (~v215(constB168)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB168) | (~v215(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28829,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB168) | (~v215(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28830,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB168) | (~v215(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28829, 28828])).
% 83.73/53.33 tff(28831,plain,
% 83.73/53.33 (~v215(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28830, 4579, 28827])).
% 83.73/53.33 tff(28832,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB168) | v215(constB168) | (~v211(constB168)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB168) | v215(constB168) | (~v211(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28833,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB168) | v215(constB168) | (~v211(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28834,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB168) | v215(constB168) | (~v211(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28833, 28832])).
% 83.73/53.33 tff(28835,plain,
% 83.73/53.33 (v214(constB168) | (~v211(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28834, 4607, 28831])).
% 83.73/53.33 tff(28836,plain,
% 83.73/53.33 (~v211(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28835, 28815])).
% 83.73/53.33 tff(28837,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28838,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28839,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB168, constB169)) | v211(constB168) | (~v213(constB169))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 83.73/53.33 tff(28840,plain,
% 83.73/53.33 (v211(constB168) | (~v213(constB169))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28839, 4622, 28519])).
% 83.73/53.33 tff(28841,plain,
% 83.73/53.33 (~v213(constB169)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28840, 28836])).
% 83.73/53.33 tff(28842,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB169) | (~v297(constB169)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB169) | (~v297(constB169)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28843,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB169) | (~v297(constB169)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28844,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB169) | (~v297(constB169))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28843, 28842])).
% 83.73/53.33 tff(28845,plain,
% 83.73/53.33 (~v297(constB169)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28844, 4767, 28841])).
% 83.73/53.33 tff(28846,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB167, 2)) | v88(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB167, 2)) | v88(constB167, 2))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28847,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB167, 2)) | v88(constB167, 2))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28848,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB167, 2)) | v88(constB167, 2)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28847, 28846])).
% 83.73/53.33 tff(28849,plain,
% 83.73/53.33 (v88(constB167, 2)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28848, 3716, 28145])).
% 83.73/53.33 tff(28850,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB167)) | (~v88(constB167, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB167)) | (~v88(constB167, 2)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28851,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB167)) | (~v88(constB167, 2)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28852,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB167)) | (~v88(constB167, 2))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 83.73/53.33 tff(28853,plain,
% 83.73/53.33 (~v140(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28852, 4044, 28849])).
% 83.73/53.33 tff(28854,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB167, 0)) | v88(constB167, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB167, 0)) | v88(constB167, 0))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28855,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB167, 0)) | v88(constB167, 0))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28856,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB167, 0)) | v88(constB167, 0)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 83.73/53.33 tff(28857,plain,
% 83.73/53.33 (v88(constB167, 0)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28856, 3447, 28210])).
% 83.73/53.33 tff(28858,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB167)) | (~v88(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB167)) | (~v88(constB167, 0)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28859,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB167)) | (~v88(constB167, 0)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28860,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB167)) | (~v88(constB167, 0))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28859, 28858])).
% 83.73/53.33 tff(28861,plain,
% 83.73/53.33 (~v139(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28860, 4059, 28857])).
% 83.73/53.33 tff(28862,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB167) | v140(constB167) | (~v168(constB167)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB167) | v140(constB167) | (~v168(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28863,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB167) | v140(constB167) | (~v168(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28864,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB167) | v140(constB167) | (~v168(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28863, 28862])).
% 83.73/53.33 tff(28865,plain,
% 83.73/53.33 (~v168(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28864, 3983, 28861, 28853])).
% 83.73/53.33 tff(28866,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB167, 1)) | v90(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB167, 1)) | v90(constB167, 1))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28867,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB167, 1)) | v90(constB167, 1))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28868,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB167, 1)) | v90(constB167, 1)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28867, 28866])).
% 83.73/53.33 tff(28869,plain,
% 83.73/53.33 (~v88(constB167, 1)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28868, 3405, 28179])).
% 83.73/53.33 tff(28870,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28871,plain,
% 83.73/53.33 (((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167)) <=> ((~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28872,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0))))),
% 83.73/53.33 inference(monotonicity,[status(thm)],[28871])).
% 83.73/53.33 tff(28873,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0)))),
% 83.73/53.33 inference(transitivity,[status(thm)],[28872, 28870])).
% 83.73/53.33 tff(28874,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB167, 2)) | v88(constB167, 1) | (~v88(constB167, 0)) | v147(constB167))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28875,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB167, 2)) | v147(constB167) | v88(constB167, 1) | (~v88(constB167, 0))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28874, 28873])).
% 83.73/53.33 tff(28876,plain,
% 83.73/53.33 (v147(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28875, 4081, 28857, 28849, 28869])).
% 83.73/53.33 tff(28877,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB167)) | v145(constB167))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB167)) | v145(constB167))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28878,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB167)) | v145(constB167))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28879,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB167)) | v145(constB167)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28878, 28877])).
% 83.73/53.33 tff(28880,plain,
% 83.73/53.33 (v145(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28879, 4095, 28876])).
% 83.73/53.33 tff(28881,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB167) | (~v145(constB167)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB167) | (~v145(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28882,plain,
% 83.73/53.33 (((~v145(constB167)) | v226(constB167)) <=> (v226(constB167) | (~v145(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28883,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB167)) | v226(constB167))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB167) | (~v145(constB167))))),
% 83.73/53.33 inference(monotonicity,[status(thm)],[28882])).
% 83.73/53.33 tff(28884,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB167)) | v226(constB167))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB167) | (~v145(constB167)))),
% 83.73/53.33 inference(transitivity,[status(thm)],[28883, 28881])).
% 83.73/53.33 tff(28885,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB167)) | v226(constB167))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28886,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB167) | (~v145(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28885, 28884])).
% 83.73/53.33 tff(28887,plain,
% 83.73/53.33 (v226(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28886, 4106, 28880])).
% 83.73/53.33 tff(28888,plain,
% 83.73/53.33 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB167)) | v168(constB167) | (~v226(constB167)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v226(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28889,plain,
% 83.73/53.33 (((~v226(constB167)) | v168(constB167) | (~v161(constB167))) <=> ((~v161(constB167)) | v168(constB167) | (~v226(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28890,plain,
% 83.73/53.33 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB167)) | v168(constB167) | (~v161(constB167)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB167)) | v168(constB167) | (~v226(constB167))))),
% 83.73/53.33 inference(monotonicity,[status(thm)],[28889])).
% 83.73/53.33 tff(28891,plain,
% 83.73/53.33 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB167)) | v168(constB167) | (~v161(constB167)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v226(constB167)))),
% 83.73/53.33 inference(transitivity,[status(thm)],[28890, 28888])).
% 83.73/53.33 tff(28892,plain,
% 83.73/53.33 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB167)) | v168(constB167) | (~v161(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28893,plain,
% 83.73/53.33 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB167)) | v168(constB167) | (~v226(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 83.73/53.33 tff(28894,plain,
% 83.73/53.33 (~v161(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28893, 3997, 28887, 28865])).
% 83.73/53.33 tff(28895,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28896,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB167) | (~v187(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28897,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB167) | (~v187(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 83.73/53.33 tff(28898,plain,
% 83.73/53.33 (~v187(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28897, 4015, 28894])).
% 83.73/53.33 tff(28899,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28900,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB167) | (~v185(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28901,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB167) | (~v185(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28900, 28899])).
% 83.73/53.33 tff(28902,plain,
% 83.73/53.33 (~v185(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28901, 4029, 28898])).
% 83.73/53.33 tff(28903,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB167)) | (~v183(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28904,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB167)) | (~v183(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28905,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB167)) | (~v183(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 83.73/53.33 tff(28906,plain,
% 83.73/53.33 (~v181(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28905, 4247, 28797])).
% 83.73/53.33 tff(28907,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28908,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB167) | v185(constB167) | (~v178(constB167)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28909,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB167) | v185(constB167) | (~v178(constB167))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28908, 28907])).
% 83.73/53.33 tff(28910,plain,
% 83.73/53.33 (v185(constB167) | (~v178(constB167))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28909, 4261, 28906])).
% 83.73/53.33 tff(28911,plain,
% 83.73/53.33 (~v178(constB167)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28910, 28902])).
% 83.73/53.33 tff(28912,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28913,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28914,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB167, constB168)) | v178(constB167) | (~v180(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28913, 28912])).
% 83.73/53.33 tff(28915,plain,
% 83.73/53.33 (v178(constB167) | (~v180(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28914, 4276, 28233])).
% 83.73/53.33 tff(28916,plain,
% 83.73/53.33 (~v180(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28915, 28911])).
% 83.73/53.33 tff(28917,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28918,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB168) | (~v181(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28919,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB168) | (~v181(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 83.73/53.33 tff(28920,plain,
% 83.73/53.33 (~v181(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28919, 4291, 28916])).
% 83.73/53.33 tff(28921,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28922,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB168) | (~v187(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28923,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB168) | (~v187(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 83.73/53.33 tff(28924,plain,
% 83.73/53.33 (~v187(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28923, 4309, 28819])).
% 83.73/53.33 tff(28925,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28926,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB168) | (~v185(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28927,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB168) | (~v185(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 83.73/53.33 tff(28928,plain,
% 83.73/53.33 (~v185(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28927, 4029, 28924])).
% 83.73/53.33 tff(28929,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28930,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB168) | v185(constB168) | (~v178(constB168)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28931,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB168) | v185(constB168) | (~v178(constB168))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28930, 28929])).
% 83.73/53.33 tff(28932,plain,
% 83.73/53.33 (v181(constB168) | (~v178(constB168))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28931, 4261, 28928])).
% 83.73/53.33 tff(28933,plain,
% 83.73/53.33 (~v178(constB168)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28932, 28920])).
% 83.73/53.33 tff(28934,plain,
% 83.73/53.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28935,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28936,plain,
% 83.73/53.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB168, constB169)) | v178(constB168) | (~v180(constB169))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 83.73/53.33 tff(28937,plain,
% 83.73/53.33 (v178(constB168) | (~v180(constB169))),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28936, 4276, 28519])).
% 83.73/53.33 tff(28938,plain,
% 83.73/53.33 (~v180(constB169)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28937, 28933])).
% 83.73/53.33 tff(28939,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB169) | (~v293(constB169)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB169) | (~v293(constB169)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28940,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB169) | (~v293(constB169)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28941,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB169) | (~v293(constB169))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 83.73/53.33 tff(28942,plain,
% 83.73/53.33 (~v293(constB169)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28941, 4413, 28938])).
% 83.73/53.33 tff(28943,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB169) | v297(constB169) | (~v292(constB169)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB169) | v297(constB169) | (~v292(constB169)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28944,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB169) | v297(constB169) | (~v292(constB169)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28945,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB169) | v297(constB169) | (~v292(constB169))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 83.73/53.33 tff(28946,plain,
% 83.73/53.33 (~v292(constB169)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28945, 4781, 28942, 28845])).
% 83.73/53.33 tff(28947,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28948,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB163, 2)) | v90(constB163, 2))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28949,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB163, 2)) | v90(constB163, 2)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 83.73/53.33 tff(28950,plain,
% 83.73/53.33 (~v88(constB163, 2)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28949, 3360, 27456])).
% 83.73/53.33 tff(28951,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28952,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB163, 0)) | v88(constB163, 0))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28953,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB163, 0)) | v88(constB163, 0)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 83.73/53.33 tff(28954,plain,
% 83.73/53.33 (v88(constB163, 0)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28953, 3447, 27588])).
% 83.73/53.33 tff(28955,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28956,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB163, 1)) | v88(constB163, 1))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28957,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB163, 1)) | v88(constB163, 1)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28956, 28955])).
% 83.73/53.33 tff(28958,plain,
% 83.73/53.33 (v88(constB163, 1)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28957, 3727, 27557])).
% 83.73/53.33 tff(28959,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28960,plain,
% 83.73/53.33 ((v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163)) <=> ((~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28961,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163)))),
% 83.73/53.33 inference(monotonicity,[status(thm)],[28960])).
% 83.73/53.33 tff(28962,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163))),
% 83.73/53.33 inference(transitivity,[status(thm)],[28961, 28959])).
% 83.73/53.33 tff(28963,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB163, 2) | (~v88(constB163, 1)) | (~v88(constB163, 0)) | v141(constB163))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28964,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB163, 0)) | v88(constB163, 2) | (~v88(constB163, 1)) | v141(constB163)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28963, 28962])).
% 83.73/53.33 tff(28965,plain,
% 83.73/53.33 (v141(constB163)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28964, 19257, 28958, 28954, 28950])).
% 83.73/53.33 tff(28966,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB163)) | v228(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB163)) | v228(constB163))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28967,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB163)) | v228(constB163))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28968,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB163)) | v228(constB163)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28967, 28966])).
% 83.73/53.33 tff(28969,plain,
% 83.73/53.33 (v228(constB163)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28968, 19268, 28965])).
% 83.73/53.33 tff(28970,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB163)) | v227(constB163))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB163)) | v227(constB163))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28971,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB163)) | v227(constB163))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28972,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB163)) | v227(constB163)),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28971, 28970])).
% 83.73/53.33 tff(28973,plain,
% 83.73/53.33 (v227(constB163)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28972, 3503, 28969])).
% 83.73/53.33 tff(28974,plain,
% 83.73/53.33 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB163) | (~v227(constB163)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB163) | (~v227(constB163)))),
% 83.73/53.33 inference(rewrite,[status(thm)],[])).
% 83.73/53.33 tff(28975,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB163) | (~v227(constB163)))),
% 83.73/53.33 inference(quant_inst,[status(thm)],[])).
% 83.73/53.33 tff(28976,plain,
% 83.73/53.33 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB163) | (~v227(constB163))),
% 83.73/53.33 inference(modus_ponens,[status(thm)],[28975, 28974])).
% 83.73/53.33 tff(28977,plain,
% 83.73/53.33 (v226(constB163)),
% 83.73/53.33 inference(unit_resolution,[status(thm)],[28976, 3517, 28973])).
% 83.73/53.33 tff(28978,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB163)) | (~v88(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB163)) | (~v88(constB163, 1)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28979,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB163)) | (~v88(constB163, 1)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(28980,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB163)) | (~v88(constB163, 1))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[28979, 28978])).
% 83.73/53.34 tff(28981,plain,
% 83.73/53.34 (~v139(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[28980, 3958, 28958])).
% 83.73/53.34 tff(28982,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28983,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB163)) | (~v88(constB163, 1)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(28984,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB163)) | (~v88(constB163, 1))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 83.73/53.34 tff(28985,plain,
% 83.73/53.34 (~v140(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[28984, 3969, 28958])).
% 83.73/53.34 tff(28986,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28987,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(28988,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 83.73/53.34 tff(28989,plain,
% 83.73/53.34 (~v168(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[28988, 3983, 28985, 28981])).
% 83.73/53.34 tff(28990,plain,
% 83.73/53.34 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB163)) | v168(constB163) | (~v226(constB163)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28991,plain,
% 83.73/53.34 (((~v226(constB163)) | v168(constB163) | (~v161(constB163))) <=> ((~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28992,plain,
% 83.73/53.34 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB163)) | v168(constB163) | (~v161(constB163)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB163)) | v168(constB163) | (~v226(constB163))))),
% 83.73/53.34 inference(monotonicity,[status(thm)],[28991])).
% 83.73/53.34 tff(28993,plain,
% 83.73/53.34 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB163)) | v168(constB163) | (~v161(constB163)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163)))),
% 83.73/53.34 inference(transitivity,[status(thm)],[28992, 28990])).
% 83.73/53.34 tff(28994,plain,
% 83.73/53.34 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB163)) | v168(constB163) | (~v161(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(28995,plain,
% 83.73/53.34 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB163)) | v168(constB163) | (~v226(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 83.73/53.34 tff(28996,plain,
% 83.73/53.34 ((~v161(constB163)) | (~v226(constB163))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[28995, 3997, 28989])).
% 83.73/53.34 tff(28997,plain,
% 83.73/53.34 (~v161(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[28996, 28977])).
% 83.73/53.34 tff(28998,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(28999,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB163) | (~v187(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29000,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB163) | (~v187(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 83.73/53.34 tff(29001,plain,
% 83.73/53.34 (~v187(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29000, 4015, 28997])).
% 83.73/53.34 tff(29002,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29003,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB163) | (~v185(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29004,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB163) | (~v185(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 83.73/53.34 tff(29005,plain,
% 83.73/53.34 (~v185(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29004, 4029, 29001])).
% 83.73/53.34 tff(29006,assumption,(v18(constB164)), introduced(assumption)).
% 83.73/53.34 tff(29007,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB164))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29008,plain,
% 83.73/53.34 ($false),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29007, 3600, 29006])).
% 83.73/53.34 tff(29009,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.34 tff(29010,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29011,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29012,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 83.73/53.34 tff(29013,plain,
% 83.73/53.34 (v22(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29012, 3613, 27653])).
% 83.73/53.34 tff(29014,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29015,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29016,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 83.73/53.34 tff(29017,plain,
% 83.73/53.34 (v18(constB164) | (~v19(constB164))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29016, 3627, 29013])).
% 83.73/53.34 tff(29018,plain,
% 83.73/53.34 (~v19(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29017, 29009])).
% 83.73/53.34 tff(29019,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29020,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29021,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 83.73/53.34 tff(29022,plain,
% 83.73/53.34 (v13(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29021, 3639, 29018])).
% 83.73/53.34 tff(29023,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29024,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29025,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29024, 29023])).
% 83.73/53.34 tff(29026,plain,
% 83.73/53.34 (v9(constB163) | (~v13(constB164))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29025, 3653, 27633])).
% 83.73/53.34 tff(29027,plain,
% 83.73/53.34 (v9(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29026, 29022])).
% 83.73/53.34 tff(29028,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29029,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v184(constB163))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29030,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB163) | (~v9(constB163)) | v184(constB163)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 83.73/53.34 tff(29031,plain,
% 83.73/53.34 ((~v9(constB163)) | v184(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29030, 3668, 27432])).
% 83.73/53.34 tff(29032,plain,
% 83.73/53.34 (v184(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29031, 29027])).
% 83.73/53.34 tff(29033,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB163)) | v183(constB163))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB163)) | v183(constB163))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29034,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB163)) | v183(constB163))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29035,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB163)) | v183(constB163)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29034, 29033])).
% 83.73/53.34 tff(29036,plain,
% 83.73/53.34 (v183(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29035, 3680, 29032])).
% 83.73/53.34 tff(29037,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB163)) | (~v183(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29038,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB163)) | (~v183(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29039,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB163)) | (~v183(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29038, 29037])).
% 83.73/53.34 tff(29040,plain,
% 83.73/53.34 (~v181(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29039, 4247, 29036])).
% 83.73/53.34 tff(29041,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29042,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB163) | v185(constB163) | (~v178(constB163)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29043,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB163) | v185(constB163) | (~v178(constB163))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29042, 29041])).
% 83.73/53.34 tff(29044,plain,
% 83.73/53.34 (v185(constB163) | (~v178(constB163))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29043, 4261, 29040])).
% 83.73/53.34 tff(29045,plain,
% 83.73/53.34 (~v178(constB163)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29044, 29005])).
% 83.73/53.34 tff(29046,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29047,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29048,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB163, constB164)) | v178(constB163) | (~v180(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 83.73/53.34 tff(29049,plain,
% 83.73/53.34 (v178(constB163) | (~v180(constB164))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29048, 4276, 27633])).
% 83.73/53.34 tff(29050,plain,
% 83.73/53.34 (~v180(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29049, 29045])).
% 83.73/53.34 tff(29051,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29052,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB164) | (~v181(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29053,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB164) | (~v181(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29052, 29051])).
% 83.73/53.34 tff(29054,plain,
% 83.73/53.34 (~v181(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29053, 4291, 29050])).
% 83.73/53.34 tff(29055,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29056,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB164)) | (~v184(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29057,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB164)) | (~v184(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29056, 29055])).
% 83.73/53.34 tff(29058,plain,
% 83.73/53.34 (~v184(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29057, 3901, 27653])).
% 83.73/53.34 tff(29059,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29060,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB164) | (~v187(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29061,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB164) | (~v187(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 83.73/53.34 tff(29062,plain,
% 83.73/53.34 (~v187(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29061, 4309, 29058])).
% 83.73/53.34 tff(29063,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29064,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB164) | (~v185(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29065,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB164) | (~v185(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 83.73/53.34 tff(29066,plain,
% 83.73/53.34 (~v185(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29065, 4029, 29062])).
% 83.73/53.34 tff(29067,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29068,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB164) | v185(constB164) | (~v178(constB164)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29069,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB164) | v185(constB164) | (~v178(constB164))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 83.73/53.34 tff(29070,plain,
% 83.73/53.34 (v181(constB164) | (~v178(constB164))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29069, 4261, 29066])).
% 83.73/53.34 tff(29071,plain,
% 83.73/53.34 (~v178(constB164)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29070, 29054])).
% 83.73/53.34 tff(29072,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29073,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29074,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB164, constB165)) | v178(constB164) | (~v180(constB165))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29073, 29072])).
% 83.73/53.34 tff(29075,plain,
% 83.73/53.34 (v178(constB164) | (~v180(constB165))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29074, 4276, 27695])).
% 83.73/53.34 tff(29076,plain,
% 83.73/53.34 (~v180(constB165)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29075, 29071])).
% 83.73/53.34 tff(29077,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB165) | (~v215(constB165)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB165) | (~v215(constB165)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29078,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB165) | (~v215(constB165)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29079,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB165) | (~v215(constB165))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 83.73/53.34 tff(29080,plain,
% 83.73/53.34 (~v215(constB165)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29079, 4427, 29076])).
% 83.73/53.34 tff(29081,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB165)) | (~v214(constB165)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB165)) | (~v214(constB165)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29082,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB165)) | (~v214(constB165)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29083,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB165)) | (~v214(constB165))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 83.73/53.34 tff(29084,plain,
% 83.73/53.34 (~v214(constB165)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29083, 4593, 28722])).
% 83.73/53.34 tff(29085,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB165) | v215(constB165) | (~v211(constB165)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB165) | v215(constB165) | (~v211(constB165)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29086,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB165) | v215(constB165) | (~v211(constB165)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29087,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB165) | v215(constB165) | (~v211(constB165))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 83.73/53.34 tff(29088,plain,
% 83.73/53.34 (v215(constB165) | (~v211(constB165))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29087, 4607, 29084])).
% 83.73/53.34 tff(29089,plain,
% 83.73/53.34 (~v211(constB165)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29088, 29080])).
% 83.73/53.34 tff(29090,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29091,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29092,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB165, constB166)) | v211(constB165) | (~v213(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29091, 29090])).
% 83.73/53.34 tff(29093,plain,
% 83.73/53.34 (v211(constB165) | (~v213(constB166))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29092, 4622, 27804])).
% 83.73/53.34 tff(29094,plain,
% 83.73/53.34 (~v213(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29093, 29089])).
% 83.73/53.34 tff(29095,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB166) | (~v214(constB166)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB166) | (~v214(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29096,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB166) | (~v214(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29097,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB166) | (~v214(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29096, 29095])).
% 83.73/53.34 tff(29098,plain,
% 83.73/53.34 (~v214(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29097, 4637, 29094])).
% 83.73/53.34 tff(29099,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB166) | (~v217(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB166) | (~v217(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29100,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB166) | (~v217(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29101,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB166) | (~v217(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 83.73/53.34 tff(29102,plain,
% 83.73/53.34 (~v217(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29101, 4651, 28744])).
% 83.73/53.34 tff(29103,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB166) | (~v216(constB166)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB166) | (~v216(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29104,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB166) | (~v216(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29105,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB166) | (~v216(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29104, 29103])).
% 83.73/53.34 tff(29106,plain,
% 83.73/53.34 (~v216(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29105, 4565, 29102])).
% 83.73/53.34 tff(29107,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB166) | (~v215(constB166)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB166) | (~v215(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29108,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB166) | (~v215(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29109,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB166) | (~v215(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 83.73/53.34 tff(29110,plain,
% 83.73/53.34 (~v215(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29109, 4579, 29106])).
% 83.73/53.34 tff(29111,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB166) | v215(constB166) | (~v211(constB166)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB166) | v215(constB166) | (~v211(constB166)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29112,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB166) | v215(constB166) | (~v211(constB166)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29113,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB166) | v215(constB166) | (~v211(constB166))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 83.73/53.34 tff(29114,plain,
% 83.73/53.34 (v214(constB166) | (~v211(constB166))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29113, 4607, 29110])).
% 83.73/53.34 tff(29115,plain,
% 83.73/53.34 (~v211(constB166)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29114, 29098])).
% 83.73/53.34 tff(29116,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29117,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29118,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB166, constB167)) | v211(constB166) | (~v213(constB167))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 83.73/53.34 tff(29119,plain,
% 83.73/53.34 (v211(constB166) | (~v213(constB167))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29118, 4622, 28124])).
% 83.73/53.34 tff(29120,plain,
% 83.73/53.34 (~v213(constB167)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29119, 29115])).
% 83.73/53.34 tff(29121,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB167) | (~v245(constB167)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB167) | (~v245(constB167)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29122,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB167) | (~v245(constB167)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29123,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB167) | (~v245(constB167))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29122, 29121])).
% 83.73/53.34 tff(29124,plain,
% 83.73/53.34 (~v245(constB167)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29123, 4796, 29120])).
% 83.73/53.34 tff(29125,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB167)) | (~v244(constB167)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB167)) | (~v244(constB167)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29126,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB167)) | (~v244(constB167)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29127,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB167)) | (~v244(constB167))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29126, 29125])).
% 83.73/53.34 tff(29128,plain,
% 83.73/53.34 (~v244(constB167)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29127, 4891, 28797])).
% 83.73/53.34 tff(29129,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB167) | v245(constB167) | (~v241(constB167)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB167) | v245(constB167) | (~v241(constB167)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29130,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB167) | v245(constB167) | (~v241(constB167)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29131,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB167) | v245(constB167) | (~v241(constB167))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29130, 29129])).
% 83.73/53.34 tff(29132,plain,
% 83.73/53.34 (v245(constB167) | (~v241(constB167))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29131, 4905, 29128])).
% 83.73/53.34 tff(29133,plain,
% 83.73/53.34 (~v241(constB167)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29132, 29124])).
% 83.73/53.34 tff(29134,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB167, constB168)) | v241(constB167) | (~v243(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB167, constB168)) | v241(constB167) | (~v243(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29135,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB167, constB168)) | v241(constB167) | (~v243(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29136,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB167, constB168)) | v241(constB167) | (~v243(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29135, 29134])).
% 83.73/53.34 tff(29137,plain,
% 83.73/53.34 (v241(constB167) | (~v243(constB168))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29136, 4920, 28233])).
% 83.73/53.34 tff(29138,plain,
% 83.73/53.34 (~v243(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29137, 29133])).
% 83.73/53.34 tff(29139,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB168) | (~v244(constB168)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB168) | (~v244(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29140,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB168) | (~v244(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29141,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB168) | (~v244(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 83.73/53.34 tff(29142,plain,
% 83.73/53.34 (~v244(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29141, 4935, 29138])).
% 83.73/53.34 tff(29143,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB168) | (~v247(constB168)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB168) | (~v247(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29144,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB168) | (~v247(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29145,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB168) | (~v247(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 83.73/53.34 tff(29146,plain,
% 83.73/53.34 (~v247(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29145, 4949, 28819])).
% 83.73/53.34 tff(29147,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB168) | (~v246(constB168)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB168) | (~v246(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29148,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB168) | (~v246(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29149,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB168) | (~v246(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 83.73/53.34 tff(29150,plain,
% 83.73/53.34 (~v246(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29149, 4863, 29146])).
% 83.73/53.34 tff(29151,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB168) | (~v245(constB168)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB168) | (~v245(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29152,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB168) | (~v245(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29153,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB168) | (~v245(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29152, 29151])).
% 83.73/53.34 tff(29154,plain,
% 83.73/53.34 (~v245(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29153, 4877, 29150])).
% 83.73/53.34 tff(29155,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB168) | v245(constB168) | (~v241(constB168)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB168) | v245(constB168) | (~v241(constB168)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29156,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB168) | v245(constB168) | (~v241(constB168)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29157,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB168) | v245(constB168) | (~v241(constB168))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 83.73/53.34 tff(29158,plain,
% 83.73/53.34 (v244(constB168) | (~v241(constB168))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29157, 4905, 29154])).
% 83.73/53.34 tff(29159,plain,
% 83.73/53.34 (~v241(constB168)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29158, 29142])).
% 83.73/53.34 tff(29160,plain,
% 83.73/53.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB168, constB169)) | v241(constB168) | (~v243(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB168, constB169)) | v241(constB168) | (~v243(constB169)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29161,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB168, constB169)) | v241(constB168) | (~v243(constB169)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29162,plain,
% 83.73/53.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB168, constB169)) | v241(constB168) | (~v243(constB169))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29161, 29160])).
% 83.73/53.34 tff(29163,plain,
% 83.73/53.34 (v241(constB168) | (~v243(constB169))),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29162, 4920, 28519])).
% 83.73/53.34 tff(29164,plain,
% 83.73/53.34 (~v243(constB169)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29163, 29159])).
% 83.73/53.34 tff(29165,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB169) | (~v302(constB169)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB169) | (~v302(constB169)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29166,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB169) | (~v302(constB169)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29167,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB169) | (~v302(constB169))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29166, 29165])).
% 83.73/53.34 tff(29168,plain,
% 83.73/53.34 (~v302(constB169)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29167, 5060, 29164])).
% 83.73/53.34 tff(29169,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB169) | v290(constB169) | v302(constB169))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB169) | v290(constB169) | v302(constB169))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29170,plain,
% 83.73/53.34 ((v292(constB169) | v302(constB169) | v290(constB169)) <=> (v292(constB169) | v290(constB169) | v302(constB169))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29171,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB169) | v302(constB169) | v290(constB169))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB169) | v290(constB169) | v302(constB169)))),
% 83.73/53.34 inference(monotonicity,[status(thm)],[29170])).
% 83.73/53.34 tff(29172,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB169) | v302(constB169) | v290(constB169))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB169) | v290(constB169) | v302(constB169))),
% 83.73/53.34 inference(transitivity,[status(thm)],[29171, 29169])).
% 83.73/53.34 tff(29173,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB169) | v302(constB169) | v290(constB169))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29174,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB169) | v290(constB169) | v302(constB169)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 83.73/53.34 tff(29175,plain,
% 83.73/53.34 (v292(constB169) | v290(constB169)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29174, 5074, 29168])).
% 83.73/53.34 tff(29176,plain,
% 83.73/53.34 (v290(constB169)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29175, 28946])).
% 83.73/53.34 tff(29177,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB169) | v289(constB169) | (~v290(constB169)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB169) | v289(constB169) | (~v290(constB169)))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29178,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB169) | v289(constB169) | (~v290(constB169)))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29179,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB169) | v289(constB169) | (~v290(constB169))),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29178, 29177])).
% 83.73/53.34 tff(29180,plain,
% 83.73/53.34 (v289(constB169)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29179, 5092, 29176, 28631])).
% 83.73/53.34 tff(29181,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29182,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29183,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29182, 29181])).
% 83.73/53.34 tff(29184,plain,
% 83.73/53.34 (~v88(constB157, 0)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29183, 3705, 26743])).
% 83.73/53.34 tff(29185,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29186,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29187,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29186, 29185])).
% 83.73/53.34 tff(29188,plain,
% 83.73/53.34 (v88(constB157, 2)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29187, 3716, 26678])).
% 83.73/53.34 tff(29189,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29190,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29191,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29190, 29189])).
% 83.73/53.34 tff(29192,plain,
% 83.73/53.34 (v88(constB157, 1)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29191, 3727, 26709])).
% 83.73/53.34 tff(29193,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29194,plain,
% 83.73/53.34 (((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157)) <=> (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29195,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)))),
% 83.73/53.34 inference(monotonicity,[status(thm)],[29194])).
% 83.73/53.34 tff(29196,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 83.73/53.34 inference(transitivity,[status(thm)],[29195, 29193])).
% 83.73/53.34 tff(29197,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29198,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 83.73/53.34 tff(29199,plain,
% 83.73/53.34 (v144(constB157)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29198, 3741, 29192, 29188, 29184])).
% 83.73/53.34 tff(29200,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29201,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))),
% 83.73/53.34 inference(quant_inst,[status(thm)],[])).
% 83.73/53.34 tff(29202,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157)),
% 83.73/53.34 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 83.73/53.34 tff(29203,plain,
% 83.73/53.34 (v142(constB157)),
% 83.73/53.34 inference(unit_resolution,[status(thm)],[29202, 3755, 29199])).
% 83.73/53.34 tff(29204,plain,
% 83.73/53.34 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB157)) | v227(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB157)) | v227(constB157))),
% 83.73/53.34 inference(rewrite,[status(thm)],[])).
% 83.73/53.34 tff(29205,plain,
% 83.73/53.34 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB157)) | v227(constB157))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29206,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB157)) | v227(constB157)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29205, 29204])).
% 83.73/53.35 tff(29207,plain,
% 83.73/53.35 (v227(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29206, 3766, 29203])).
% 83.73/53.35 tff(29208,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB157) | (~v227(constB157)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB157) | (~v227(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29209,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB157) | (~v227(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29210,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB157) | (~v227(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 83.73/53.35 tff(29211,plain,
% 83.73/53.35 (v226(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29210, 3517, 29207])).
% 83.73/53.35 tff(29212,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29213,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29214,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29213, 29212])).
% 83.73/53.35 tff(29215,plain,
% 83.73/53.35 (~v139(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29214, 3958, 29192])).
% 83.73/53.35 tff(29216,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29217,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29218,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 83.73/53.35 tff(29219,plain,
% 83.73/53.35 (~v140(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29218, 3969, 29192])).
% 83.73/53.35 tff(29220,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29221,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29222,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 83.73/53.35 tff(29223,plain,
% 83.73/53.35 (~v168(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29222, 3983, 29219, 29215])).
% 83.73/53.35 tff(29224,plain,
% 83.73/53.35 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v226(constB157)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29225,plain,
% 83.73/53.35 (((~v226(constB157)) | v168(constB157) | (~v161(constB157))) <=> ((~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29226,plain,
% 83.73/53.35 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB157)) | v168(constB157) | (~v161(constB157)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB157)) | v168(constB157) | (~v226(constB157))))),
% 83.73/53.35 inference(monotonicity,[status(thm)],[29225])).
% 83.73/53.35 tff(29227,plain,
% 83.73/53.35 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB157)) | v168(constB157) | (~v161(constB157)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157)))),
% 83.73/53.35 inference(transitivity,[status(thm)],[29226, 29224])).
% 83.73/53.35 tff(29228,plain,
% 83.73/53.35 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB157)) | v168(constB157) | (~v161(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29229,plain,
% 83.73/53.35 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB157)) | v168(constB157) | (~v226(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29228, 29227])).
% 83.73/53.35 tff(29230,plain,
% 83.73/53.35 ((~v161(constB157)) | (~v226(constB157))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29229, 3997, 29223])).
% 83.73/53.35 tff(29231,plain,
% 83.73/53.35 (~v161(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29230, 29211])).
% 83.73/53.35 tff(29232,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29233,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB157) | (~v187(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29234,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB157) | (~v187(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29233, 29232])).
% 83.73/53.35 tff(29235,plain,
% 83.73/53.35 (~v187(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29234, 4015, 29231])).
% 83.73/53.35 tff(29236,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29237,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29238,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29237, 29236])).
% 83.73/53.35 tff(29239,plain,
% 83.73/53.35 (~v185(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29238, 4029, 29235])).
% 83.73/53.35 tff(29240,assumption,(v18(constB158)), introduced(assumption)).
% 83.73/53.35 tff(29241,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29242,plain,
% 83.73/53.35 ($false),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29241, 3600, 29240])).
% 83.73/53.35 tff(29243,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.35 tff(29244,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29245,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29246,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 83.73/53.35 tff(29247,plain,
% 83.73/53.35 (v22(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29246, 3613, 24068])).
% 83.73/53.35 tff(29248,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29249,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29250,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 83.73/53.35 tff(29251,plain,
% 83.73/53.35 (v18(constB158) | (~v19(constB158))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29250, 3627, 29247])).
% 83.73/53.35 tff(29252,plain,
% 83.73/53.35 (~v19(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29251, 29243])).
% 83.73/53.35 tff(29253,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29254,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29255,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29254, 29253])).
% 83.73/53.35 tff(29256,plain,
% 83.73/53.35 (v13(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29255, 3639, 29252])).
% 83.73/53.35 tff(29257,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29258,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29259,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29258, 29257])).
% 83.73/53.35 tff(29260,plain,
% 83.73/53.35 (v9(constB157) | (~v13(constB158))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29259, 3653, 26770])).
% 83.73/53.35 tff(29261,plain,
% 83.73/53.35 (v9(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29260, 29256])).
% 83.73/53.35 tff(29262,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29263,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29264,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29263, 29262])).
% 83.73/53.35 tff(29265,plain,
% 83.73/53.35 ((~v9(constB157)) | v184(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29264, 3668, 26654])).
% 83.73/53.35 tff(29266,plain,
% 83.73/53.35 (v184(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29265, 29261])).
% 83.73/53.35 tff(29267,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB157)) | v183(constB157))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29268,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29269,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB157)) | v183(constB157)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 83.73/53.35 tff(29270,plain,
% 83.73/53.35 (v183(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29269, 3680, 29266])).
% 83.73/53.35 tff(29271,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29272,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29273,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 83.73/53.35 tff(29274,plain,
% 83.73/53.35 (~v181(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29273, 4247, 29270])).
% 83.73/53.35 tff(29275,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29276,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29277,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 83.73/53.35 tff(29278,plain,
% 83.73/53.35 (v185(constB157) | (~v178(constB157))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29277, 4261, 29274])).
% 83.73/53.35 tff(29279,plain,
% 83.73/53.35 (~v178(constB157)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29278, 29239])).
% 83.73/53.35 tff(29280,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29281,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29282,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29281, 29280])).
% 83.73/53.35 tff(29283,plain,
% 83.73/53.35 (v178(constB157) | (~v180(constB158))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29282, 4276, 26770])).
% 83.73/53.35 tff(29284,plain,
% 83.73/53.35 (~v180(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29283, 29279])).
% 83.73/53.35 tff(29285,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29286,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29287,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29286, 29285])).
% 83.73/53.35 tff(29288,plain,
% 83.73/53.35 (~v181(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29287, 4291, 29284])).
% 83.73/53.35 tff(29289,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29290,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29291,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29290, 29289])).
% 83.73/53.35 tff(29292,plain,
% 83.73/53.35 (~v187(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29291, 4309, 24072])).
% 83.73/53.35 tff(29293,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29294,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29295,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29294, 29293])).
% 83.73/53.35 tff(29296,plain,
% 83.73/53.35 (~v185(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29295, 4029, 29292])).
% 83.73/53.35 tff(29297,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29298,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29299,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 83.73/53.35 tff(29300,plain,
% 83.73/53.35 (v181(constB158) | (~v178(constB158))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29299, 4261, 29296])).
% 83.73/53.35 tff(29301,plain,
% 83.73/53.35 (~v178(constB158)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29300, 29288])).
% 83.73/53.35 tff(29302,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29303,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29304,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29303, 29302])).
% 83.73/53.35 tff(29305,plain,
% 83.73/53.35 (v178(constB158) | (~v180(constB159))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29304, 4276, 26853])).
% 83.73/53.35 tff(29306,plain,
% 83.73/53.35 (~v180(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29305, 29301])).
% 83.73/53.35 tff(29307,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB159) | (~v215(constB159)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB159) | (~v215(constB159)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29308,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB159) | (~v215(constB159)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29309,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB159) | (~v215(constB159))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29308, 29307])).
% 83.73/53.35 tff(29310,plain,
% 83.73/53.35 (~v215(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29309, 4427, 29306])).
% 83.73/53.35 tff(29311,assumption,(v18(constB160)), introduced(assumption)).
% 83.73/53.35 tff(29312,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB160))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29313,plain,
% 83.73/53.35 ($false),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29312, 3600, 29311])).
% 83.73/53.35 tff(29314,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.35 tff(29315,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29316,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29317,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 83.73/53.35 tff(29318,plain,
% 83.73/53.35 (v22(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29317, 3613, 26980])).
% 83.73/53.35 tff(29319,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29320,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29321,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 83.73/53.35 tff(29322,plain,
% 83.73/53.35 (v18(constB160) | (~v19(constB160))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29321, 3627, 29318])).
% 83.73/53.35 tff(29323,plain,
% 83.73/53.35 (~v19(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29322, 29314])).
% 83.73/53.35 tff(29324,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29325,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29326,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29325, 29324])).
% 83.73/53.35 tff(29327,plain,
% 83.73/53.35 (v13(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29326, 3639, 29323])).
% 83.73/53.35 tff(29328,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29329,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29330,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29329, 29328])).
% 83.73/53.35 tff(29331,plain,
% 83.73/53.35 (v9(constB159) | (~v13(constB160))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29330, 3653, 26962])).
% 83.73/53.35 tff(29332,plain,
% 83.73/53.35 (v9(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29331, 29327])).
% 83.73/53.35 tff(29333,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29334,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v184(constB159))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29335,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB159) | (~v9(constB159)) | v184(constB159)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29334, 29333])).
% 83.73/53.35 tff(29336,plain,
% 83.73/53.35 ((~v9(constB159)) | v184(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29335, 3668, 26850])).
% 83.73/53.35 tff(29337,plain,
% 83.73/53.35 (v184(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29336, 29332])).
% 83.73/53.35 tff(29338,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB159)) | v183(constB159))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB159)) | v183(constB159))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29339,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB159)) | v183(constB159))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29340,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB159)) | v183(constB159)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29339, 29338])).
% 83.73/53.35 tff(29341,plain,
% 83.73/53.35 (v183(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29340, 3680, 29337])).
% 83.73/53.35 tff(29342,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB159)) | (~v214(constB159)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB159)) | (~v214(constB159)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29343,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB159)) | (~v214(constB159)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29344,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB159)) | (~v214(constB159))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29343, 29342])).
% 83.73/53.35 tff(29345,plain,
% 83.73/53.35 (~v214(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29344, 4593, 29341])).
% 83.73/53.35 tff(29346,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB159) | v215(constB159) | (~v211(constB159)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB159) | v215(constB159) | (~v211(constB159)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29347,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB159) | v215(constB159) | (~v211(constB159)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29348,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB159) | v215(constB159) | (~v211(constB159))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 83.73/53.35 tff(29349,plain,
% 83.73/53.35 (v215(constB159) | (~v211(constB159))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29348, 4607, 29345])).
% 83.73/53.35 tff(29350,plain,
% 83.73/53.35 (~v211(constB159)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29349, 29310])).
% 83.73/53.35 tff(29351,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29352,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29353,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB159, constB160)) | v211(constB159) | (~v213(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 83.73/53.35 tff(29354,plain,
% 83.73/53.35 (v211(constB159) | (~v213(constB160))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29353, 4622, 26962])).
% 83.73/53.35 tff(29355,plain,
% 83.73/53.35 (~v213(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29354, 29350])).
% 83.73/53.35 tff(29356,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB160) | (~v214(constB160)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB160) | (~v214(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29357,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB160) | (~v214(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29358,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB160) | (~v214(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 83.73/53.35 tff(29359,plain,
% 83.73/53.35 (~v214(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29358, 4637, 29355])).
% 83.73/53.35 tff(29360,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29361,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB160)) | (~v184(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29362,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB160)) | (~v184(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29361, 29360])).
% 83.73/53.35 tff(29363,plain,
% 83.73/53.35 (~v184(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29362, 3901, 26980])).
% 83.73/53.35 tff(29364,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB160) | (~v217(constB160)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB160) | (~v217(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29365,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB160) | (~v217(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29366,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB160) | (~v217(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29365, 29364])).
% 83.73/53.35 tff(29367,plain,
% 83.73/53.35 (~v217(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29366, 4651, 29363])).
% 83.73/53.35 tff(29368,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB160) | (~v216(constB160)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB160) | (~v216(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29369,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB160) | (~v216(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29370,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB160) | (~v216(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29369, 29368])).
% 83.73/53.35 tff(29371,plain,
% 83.73/53.35 (~v216(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29370, 4565, 29367])).
% 83.73/53.35 tff(29372,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB160) | (~v215(constB160)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB160) | (~v215(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29373,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB160) | (~v215(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29374,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB160) | (~v215(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29373, 29372])).
% 83.73/53.35 tff(29375,plain,
% 83.73/53.35 (~v215(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29374, 4579, 29371])).
% 83.73/53.35 tff(29376,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB160) | v215(constB160) | (~v211(constB160)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB160) | v215(constB160) | (~v211(constB160)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29377,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB160) | v215(constB160) | (~v211(constB160)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29378,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB160) | v215(constB160) | (~v211(constB160))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 83.73/53.35 tff(29379,plain,
% 83.73/53.35 (v214(constB160) | (~v211(constB160))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29378, 4607, 29375])).
% 83.73/53.35 tff(29380,plain,
% 83.73/53.35 (~v211(constB160)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29379, 29359])).
% 83.73/53.35 tff(29381,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29382,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29383,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB160, constB161)) | v211(constB160) | (~v213(constB161))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 83.73/53.35 tff(29384,plain,
% 83.73/53.35 (v211(constB160) | (~v213(constB161))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29383, 4622, 27203])).
% 83.73/53.35 tff(29385,plain,
% 83.73/53.35 (~v213(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29384, 29380])).
% 83.73/53.35 tff(29386,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB161) | (~v245(constB161)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB161) | (~v245(constB161)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29387,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB161) | (~v245(constB161)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29388,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB161) | (~v245(constB161))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 83.73/53.35 tff(29389,plain,
% 83.73/53.35 (~v245(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29388, 4796, 29385])).
% 83.73/53.35 tff(29390,assumption,(v18(constB162)), introduced(assumption)).
% 83.73/53.35 tff(29391,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB162))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29392,plain,
% 83.73/53.35 ($false),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29391, 3600, 29390])).
% 83.73/53.35 tff(29393,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.35 tff(29394,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29395,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29396,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 83.73/53.35 tff(29397,plain,
% 83.73/53.35 (v22(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29396, 3613, 27393])).
% 83.73/53.35 tff(29398,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29399,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29400,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 83.73/53.35 tff(29401,plain,
% 83.73/53.35 (v18(constB162) | (~v19(constB162))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29400, 3627, 29397])).
% 83.73/53.35 tff(29402,plain,
% 83.73/53.35 (~v19(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29401, 29393])).
% 83.73/53.35 tff(29403,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29404,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29405,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29404, 29403])).
% 83.73/53.35 tff(29406,plain,
% 83.73/53.35 (v13(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29405, 3639, 29402])).
% 83.73/53.35 tff(29407,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29408,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29409,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29408, 29407])).
% 83.73/53.35 tff(29410,plain,
% 83.73/53.35 (v9(constB161) | (~v13(constB162))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29409, 3653, 27373])).
% 83.73/53.35 tff(29411,plain,
% 83.73/53.35 (v9(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29410, 29406])).
% 83.73/53.35 tff(29412,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29413,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29414,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 83.73/53.35 tff(29415,plain,
% 83.73/53.35 ((~v9(constB161)) | v184(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29414, 3668, 27200])).
% 83.73/53.35 tff(29416,plain,
% 83.73/53.35 (v184(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29415, 29411])).
% 83.73/53.35 tff(29417,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB161)) | v183(constB161))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29418,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29419,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB161)) | v183(constB161)),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29418, 29417])).
% 83.73/53.35 tff(29420,plain,
% 83.73/53.35 (v183(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29419, 3680, 29416])).
% 83.73/53.35 tff(29421,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB161)) | (~v244(constB161)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB161)) | (~v244(constB161)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29422,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB161)) | (~v244(constB161)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29423,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB161)) | (~v244(constB161))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 83.73/53.35 tff(29424,plain,
% 83.73/53.35 (~v244(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29423, 4891, 29420])).
% 83.73/53.35 tff(29425,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB161) | v245(constB161) | (~v241(constB161)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB161) | v245(constB161) | (~v241(constB161)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29426,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB161) | v245(constB161) | (~v241(constB161)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29427,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB161) | v245(constB161) | (~v241(constB161))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 83.73/53.35 tff(29428,plain,
% 83.73/53.35 (v245(constB161) | (~v241(constB161))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29427, 4905, 29424])).
% 83.73/53.35 tff(29429,plain,
% 83.73/53.35 (~v241(constB161)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29428, 29389])).
% 83.73/53.35 tff(29430,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29431,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29432,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB161, constB162)) | v241(constB161) | (~v243(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 83.73/53.35 tff(29433,plain,
% 83.73/53.35 (v241(constB161) | (~v243(constB162))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29432, 4920, 27373])).
% 83.73/53.35 tff(29434,plain,
% 83.73/53.35 (~v243(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29433, 29429])).
% 83.73/53.35 tff(29435,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB162) | (~v244(constB162)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB162) | (~v244(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29436,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB162) | (~v244(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29437,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB162) | (~v244(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29436, 29435])).
% 83.73/53.35 tff(29438,plain,
% 83.73/53.35 (~v244(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29437, 4935, 29434])).
% 83.73/53.35 tff(29439,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29440,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29441,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29440, 29439])).
% 83.73/53.35 tff(29442,plain,
% 83.73/53.35 (~v184(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29441, 3901, 27393])).
% 83.73/53.35 tff(29443,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB162) | (~v247(constB162)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB162) | (~v247(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29444,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB162) | (~v247(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29445,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB162) | (~v247(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29444, 29443])).
% 83.73/53.35 tff(29446,plain,
% 83.73/53.35 (~v247(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29445, 4949, 29442])).
% 83.73/53.35 tff(29447,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB162) | (~v246(constB162)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB162) | (~v246(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29448,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB162) | (~v246(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29449,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB162) | (~v246(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29448, 29447])).
% 83.73/53.35 tff(29450,plain,
% 83.73/53.35 (~v246(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29449, 4863, 29446])).
% 83.73/53.35 tff(29451,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB162) | (~v245(constB162)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB162) | (~v245(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29452,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB162) | (~v245(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29453,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB162) | (~v245(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29452, 29451])).
% 83.73/53.35 tff(29454,plain,
% 83.73/53.35 (~v245(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29453, 4877, 29450])).
% 83.73/53.35 tff(29455,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB162) | v245(constB162) | (~v241(constB162)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB162) | v245(constB162) | (~v241(constB162)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29456,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB162) | v245(constB162) | (~v241(constB162)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29457,plain,
% 83.73/53.35 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB162) | v245(constB162) | (~v241(constB162))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29456, 29455])).
% 83.73/53.35 tff(29458,plain,
% 83.73/53.35 (v244(constB162) | (~v241(constB162))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29457, 4905, 29454])).
% 83.73/53.35 tff(29459,plain,
% 83.73/53.35 (~v241(constB162)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29458, 29438])).
% 83.73/53.35 tff(29460,plain,
% 83.73/53.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))),
% 83.73/53.35 inference(rewrite,[status(thm)],[])).
% 83.73/53.35 tff(29461,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163)))),
% 83.73/53.35 inference(quant_inst,[status(thm)],[])).
% 83.73/53.35 tff(29462,plain,
% 83.73/53.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB162, constB163)) | v241(constB162) | (~v243(constB163))),
% 83.73/53.35 inference(modus_ponens,[status(thm)],[29461, 29460])).
% 83.73/53.35 tff(29463,plain,
% 83.73/53.35 (v241(constB162) | (~v243(constB163))),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29462, 4920, 27435])).
% 83.73/53.35 tff(29464,plain,
% 83.73/53.35 (~v243(constB163)),
% 83.73/53.35 inference(unit_resolution,[status(thm)],[29463, 29459])).
% 83.73/53.35 tff(29465,plain,
% 83.73/53.35 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB163) | (~v260(constB163)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB163) | (~v260(constB163)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29466,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB163) | (~v260(constB163)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29467,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB163) | (~v260(constB163))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29466, 29465])).
% 83.73/53.36 tff(29468,plain,
% 83.73/53.36 (~v260(constB163)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29467, 5136, 29464])).
% 83.73/53.36 tff(29469,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB163)) | (~v259(constB163)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB163)) | (~v259(constB163)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29470,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB163)) | (~v259(constB163)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29471,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB163)) | (~v259(constB163))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29470, 29469])).
% 83.73/53.36 tff(29472,plain,
% 83.73/53.36 (~v259(constB163)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29471, 5122, 29036])).
% 83.73/53.36 tff(29473,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB163) | v260(constB163) | (~v256(constB163)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB163) | v260(constB163) | (~v256(constB163)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29474,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB163) | v260(constB163) | (~v256(constB163)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29475,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB163) | v260(constB163) | (~v256(constB163))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 83.73/53.36 tff(29476,plain,
% 83.73/53.36 (v260(constB163) | (~v256(constB163))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29475, 5150, 29472])).
% 83.73/53.36 tff(29477,plain,
% 83.73/53.36 (~v256(constB163)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29476, 29468])).
% 83.73/53.36 tff(29478,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29479,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29480,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB163, constB164)) | v256(constB163) | (~v258(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29479, 29478])).
% 83.73/53.36 tff(29481,plain,
% 83.73/53.36 (v256(constB163) | (~v258(constB164))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29480, 5165, 27633])).
% 83.73/53.36 tff(29482,plain,
% 83.73/53.36 (~v258(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29481, 29477])).
% 83.73/53.36 tff(29483,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB164) | (~v259(constB164)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB164) | (~v259(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29484,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB164) | (~v259(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29485,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB164) | (~v259(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 83.73/53.36 tff(29486,plain,
% 83.73/53.36 (~v259(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29485, 5180, 29482])).
% 83.73/53.36 tff(29487,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB164) | (~v262(constB164)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB164) | (~v262(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29488,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB164) | (~v262(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29489,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB164) | (~v262(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29488, 29487])).
% 83.73/53.36 tff(29490,plain,
% 83.73/53.36 (~v262(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29489, 3915, 29058])).
% 83.73/53.36 tff(29491,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB164) | (~v261(constB164)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB164) | (~v261(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29492,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB164) | (~v261(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29493,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB164) | (~v261(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 83.73/53.36 tff(29494,plain,
% 83.73/53.36 (~v261(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29493, 3829, 29490])).
% 83.73/53.36 tff(29495,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB164) | (~v260(constB164)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB164) | (~v260(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29496,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB164) | (~v260(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29497,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB164) | (~v260(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 83.73/53.36 tff(29498,plain,
% 83.73/53.36 (~v260(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29497, 5194, 29494])).
% 83.73/53.36 tff(29499,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB164) | v260(constB164) | (~v256(constB164)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB164) | v260(constB164) | (~v256(constB164)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29500,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB164) | v260(constB164) | (~v256(constB164)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29501,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB164) | v260(constB164) | (~v256(constB164))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29500, 29499])).
% 83.73/53.36 tff(29502,plain,
% 83.73/53.36 (v259(constB164) | (~v256(constB164))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29501, 5150, 29498])).
% 83.73/53.36 tff(29503,plain,
% 83.73/53.36 (~v256(constB164)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29502, 29486])).
% 83.73/53.36 tff(29504,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29505,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29506,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB164, constB165)) | v256(constB164) | (~v258(constB165))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 83.73/53.36 tff(29507,plain,
% 83.73/53.36 (v256(constB164) | (~v258(constB165))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29506, 5165, 27695])).
% 83.73/53.36 tff(29508,plain,
% 83.73/53.36 (~v258(constB165)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29507, 29503])).
% 83.73/53.36 tff(29509,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB165) | (~v271(constB165)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB165) | (~v271(constB165)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29510,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB165) | (~v271(constB165)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29511,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB165) | (~v271(constB165))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 83.73/53.36 tff(29512,plain,
% 83.73/53.36 (~v271(constB165)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29511, 23584, 29508])).
% 83.73/53.36 tff(29513,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB165)) | (~v270(constB165)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB165)) | (~v270(constB165)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29514,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB165)) | (~v270(constB165)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29515,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB165)) | (~v270(constB165))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29514, 29513])).
% 83.73/53.36 tff(29516,plain,
% 83.73/53.36 (~v270(constB165)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29515, 3694, 28722])).
% 83.73/53.36 tff(29517,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB165) | v271(constB165) | (~v267(constB165)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB165) | v271(constB165) | (~v267(constB165)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29518,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB165) | v271(constB165) | (~v267(constB165)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29519,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB165) | v271(constB165) | (~v267(constB165))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 83.73/53.36 tff(29520,plain,
% 83.73/53.36 (v271(constB165) | (~v267(constB165))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29519, 3857, 29516])).
% 83.73/53.36 tff(29521,plain,
% 83.73/53.36 (~v267(constB165)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29520, 29512])).
% 83.73/53.36 tff(29522,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29523,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29524,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB165, constB166)) | v267(constB165) | (~v269(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29523, 29522])).
% 83.73/53.36 tff(29525,plain,
% 83.73/53.36 (v267(constB165) | (~v269(constB166))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29524, 3872, 27804])).
% 83.73/53.36 tff(29526,plain,
% 83.73/53.36 (~v269(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29525, 29521])).
% 83.73/53.36 tff(29527,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB166) | (~v270(constB166)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB166) | (~v270(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29528,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB166) | (~v270(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29529,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB166) | (~v270(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29528, 29527])).
% 83.73/53.36 tff(29530,plain,
% 83.73/53.36 (~v270(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29529, 3887, 29526])).
% 83.73/53.36 tff(29531,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB166) | (~v262(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB166) | (~v262(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29532,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB166) | (~v262(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29533,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB166) | (~v262(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29532, 29531])).
% 83.73/53.36 tff(29534,plain,
% 83.73/53.36 (~v262(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29533, 3915, 28744])).
% 83.73/53.36 tff(29535,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB166) | (~v261(constB166)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB166) | (~v261(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29536,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB166) | (~v261(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29537,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB166) | (~v261(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29536, 29535])).
% 83.73/53.36 tff(29538,plain,
% 83.73/53.36 (~v261(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29537, 3829, 29534])).
% 83.73/53.36 tff(29539,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB166) | (~v271(constB166)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB166) | (~v271(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29540,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB166) | (~v271(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29541,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB166) | (~v271(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29540, 29539])).
% 83.73/53.36 tff(29542,plain,
% 83.73/53.36 (~v271(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29541, 3843, 29538])).
% 83.73/53.36 tff(29543,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB166) | v271(constB166) | (~v267(constB166)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB166) | v271(constB166) | (~v267(constB166)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29544,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB166) | v271(constB166) | (~v267(constB166)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29545,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB166) | v271(constB166) | (~v267(constB166))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 83.73/53.36 tff(29546,plain,
% 83.73/53.36 (v270(constB166) | (~v267(constB166))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29545, 3857, 29542])).
% 83.73/53.36 tff(29547,plain,
% 83.73/53.36 (~v267(constB166)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29546, 29530])).
% 83.73/53.36 tff(29548,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29549,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29550,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB166, constB167)) | v267(constB166) | (~v269(constB167))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29549, 29548])).
% 83.73/53.36 tff(29551,plain,
% 83.73/53.36 (v267(constB166) | (~v269(constB167))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29550, 3872, 28124])).
% 83.73/53.36 tff(29552,plain,
% 83.73/53.36 (~v269(constB167)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29551, 29547])).
% 83.73/53.36 tff(29553,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB167) | (~v282(constB167)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB167) | (~v282(constB167)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29554,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB167) | (~v282(constB167)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29555,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB167) | (~v282(constB167))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29554, 29553])).
% 83.73/53.36 tff(29556,plain,
% 83.73/53.36 (~v282(constB167)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29555, 23952, 29552])).
% 83.73/53.36 tff(29557,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB167)) | (~v281(constB167)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB167)) | (~v281(constB167)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29558,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB167)) | (~v281(constB167)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29559,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB167)) | (~v281(constB167))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29558, 29557])).
% 83.73/53.36 tff(29560,plain,
% 83.73/53.36 (~v281(constB167)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29559, 23966, 28797])).
% 83.73/53.36 tff(29561,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB167) | v282(constB167) | (~v278(constB167)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB167) | v282(constB167) | (~v278(constB167)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29562,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB167) | v282(constB167) | (~v278(constB167)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29563,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB167) | v282(constB167) | (~v278(constB167))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29562, 29561])).
% 83.73/53.36 tff(29564,plain,
% 83.73/53.36 (v282(constB167) | (~v278(constB167))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29563, 23980, 29560])).
% 83.73/53.36 tff(29565,plain,
% 83.73/53.36 (~v278(constB167)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29564, 29556])).
% 83.73/53.36 tff(29566,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB167, constB168)) | v278(constB167) | (~v280(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB167, constB168)) | v278(constB167) | (~v280(constB168)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29567,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB167, constB168)) | v278(constB167) | (~v280(constB168)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29568,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB167, constB168)) | v278(constB167) | (~v280(constB168))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29567, 29566])).
% 83.73/53.36 tff(29569,plain,
% 83.73/53.36 (v278(constB167) | (~v280(constB168))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29568, 23995, 28233])).
% 83.73/53.36 tff(29570,plain,
% 83.73/53.36 (~v280(constB168)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29569, 29565])).
% 83.73/53.36 tff(29571,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB168) | (~v281(constB168)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB168) | (~v281(constB168)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29572,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB168) | (~v281(constB168)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29573,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB168) | (~v281(constB168))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29572, 29571])).
% 83.73/53.36 tff(29574,plain,
% 83.73/53.36 (~v281(constB168)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29573, 24010, 29570])).
% 83.73/53.36 tff(29575,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB168) | (~v282(constB168)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB168) | (~v282(constB168)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29576,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB168) | (~v282(constB168)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29577,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB168) | (~v282(constB168))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 83.73/53.36 tff(29578,plain,
% 83.73/53.36 (~v282(constB168)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29577, 24024, 28827])).
% 83.73/53.36 tff(29579,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB168) | v282(constB168) | (~v278(constB168)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB168) | v282(constB168) | (~v278(constB168)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29580,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB168) | v282(constB168) | (~v278(constB168)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29581,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB168) | v282(constB168) | (~v278(constB168))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29580, 29579])).
% 83.73/53.36 tff(29582,plain,
% 83.73/53.36 (v281(constB168) | (~v278(constB168))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29581, 23980, 29578])).
% 83.73/53.36 tff(29583,plain,
% 83.73/53.36 (~v278(constB168)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29582, 29574])).
% 83.73/53.36 tff(29584,plain,
% 83.73/53.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB168, constB169)) | v278(constB168) | (~v280(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB168, constB169)) | v278(constB168) | (~v280(constB169)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29585,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB168, constB169)) | v278(constB168) | (~v280(constB169)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29586,plain,
% 83.73/53.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB168, constB169)) | v278(constB168) | (~v280(constB169))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 83.73/53.36 tff(29587,plain,
% 83.73/53.36 (v278(constB168) | (~v280(constB169))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29586, 23995, 28519])).
% 83.73/53.36 tff(29588,plain,
% 83.73/53.36 (~v280(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29587, 29583])).
% 83.73/53.36 tff(29589,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB169) | (~v309(constB169)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB169) | (~v309(constB169)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29590,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB169) | (~v309(constB169)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29591,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB169) | (~v309(constB169))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 83.73/53.36 tff(29592,plain,
% 83.73/53.36 (~v309(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29591, 24048, 29588])).
% 83.73/53.36 tff(29593,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB169) | v288(constB169) | (~v289(constB169)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB169) | v288(constB169) | (~v289(constB169)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29594,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB169) | v288(constB169) | (~v289(constB169)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29595,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB169) | v288(constB169) | (~v289(constB169))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29594, 29593])).
% 83.73/53.36 tff(29596,plain,
% 83.73/53.36 (v288(constB169) | (~v289(constB169))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29595, 5107, 29592])).
% 83.73/53.36 tff(29597,plain,
% 83.73/53.36 (v288(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29596, 29180])).
% 83.73/53.36 tff(29598,plain,
% 83.73/53.36 ($false),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29597, 25511])).
% 83.73/53.36 tff(29599,plain,((~(constB169 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.36 tff(29600,plain,
% 83.73/53.36 (~(constB169 = sK_VarCurr)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29599, 5240])).
% 83.73/53.36 tff(29601,assumption,(constB190 = sK_VarCurr), introduced(assumption)).
% 83.73/53.36 tff(29602,plain,
% 83.73/53.36 (v288(constB190) <=> v288(sK_VarCurr)),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29601])).
% 83.73/53.36 tff(29603,plain,
% 83.73/53.36 (v288(sK_VarCurr) <=> v288(constB190)),
% 83.73/53.36 inference(symmetry,[status(thm)],[29602])).
% 83.73/53.36 tff(29604,plain,
% 83.73/53.36 ((~v288(sK_VarCurr)) <=> (~v288(constB190))),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29603])).
% 83.73/53.36 tff(29605,plain,
% 83.73/53.36 (~v288(constB190)),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[5240, 29604])).
% 83.73/53.36 tff(29606,plain,
% 83.73/53.36 (v1(constB190) <=> v1(constB190)),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29607,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 83.73/53.36 tff(29608,plain,
% 83.73/53.36 (v1(constB190)),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29607, 29606])).
% 83.73/53.36 tff(29609,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29610,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB190)) | (~v184(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29611,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB190)) | (~v184(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29610, 29609])).
% 83.73/53.36 tff(29612,plain,
% 83.73/53.36 (~v184(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29611, 3901, 29608])).
% 83.73/53.36 tff(29613,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB190) | (~v295(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB190) | (~v295(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29614,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB190) | (~v295(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29615,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB190) | (~v295(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29614, 29613])).
% 83.73/53.36 tff(29616,plain,
% 83.73/53.36 (~v295(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29615, 22562, 29612])).
% 83.73/53.36 tff(29617,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB190) | (~v294(constB190)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB190) | (~v294(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29618,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB190) | (~v294(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29619,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB190) | (~v294(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29618, 29617])).
% 83.73/53.36 tff(29620,plain,
% 83.73/53.36 (~v294(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29619, 15964, 29616])).
% 83.73/53.36 tff(29621,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB190) | (~v293(constB190)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB190) | (~v293(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29622,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB190) | (~v293(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29623,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB190) | (~v293(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29622, 29621])).
% 83.73/53.36 tff(29624,plain,
% 83.73/53.36 (~v293(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29623, 15978, 29620])).
% 83.73/53.36 tff(29625,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB190) | (~v299(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB190) | (~v299(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29626,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB190) | (~v299(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29627,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB190) | (~v299(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29626, 29625])).
% 83.73/53.36 tff(29628,plain,
% 83.73/53.36 (~v299(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29627, 22584, 29612])).
% 83.73/53.36 tff(29629,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB190) | (~v298(constB190)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB190) | (~v298(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29630,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB190) | (~v298(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29631,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB190) | (~v298(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29630, 29629])).
% 83.73/53.36 tff(29632,plain,
% 83.73/53.36 (~v298(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29631, 19336, 29628])).
% 83.73/53.36 tff(29633,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB190) | (~v297(constB190)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB190) | (~v297(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29634,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB190) | (~v297(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29635,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB190) | (~v297(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 83.73/53.36 tff(29636,plain,
% 83.73/53.36 (~v297(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29635, 19350, 29632])).
% 83.73/53.36 tff(29637,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB190) | v297(constB190) | (~v292(constB190)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB190) | v297(constB190) | (~v292(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29638,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB190) | v297(constB190) | (~v292(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29639,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB190) | v297(constB190) | (~v292(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29638, 29637])).
% 83.73/53.36 tff(29640,plain,
% 83.73/53.36 (~v292(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29639, 4781, 29636, 29624])).
% 83.73/53.36 tff(29641,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB190) | (~v304(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB190) | (~v304(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29642,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB190) | (~v304(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29643,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB190) | (~v304(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29642, 29641])).
% 83.73/53.36 tff(29644,plain,
% 83.73/53.36 (~v304(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29643, 22610, 29612])).
% 83.73/53.36 tff(29645,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB190) | (~v303(constB190)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB190) | (~v303(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29646,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB190) | (~v303(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29647,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB190) | (~v303(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 83.73/53.36 tff(29648,plain,
% 83.73/53.36 (~v303(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29647, 21948, 29644])).
% 83.73/53.36 tff(29649,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB190) | (~v302(constB190)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB190) | (~v302(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29650,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB190) | (~v302(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29651,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB190) | (~v302(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29650, 29649])).
% 83.73/53.36 tff(29652,plain,
% 83.73/53.36 (~v302(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29651, 21962, 29648])).
% 83.73/53.36 tff(29653,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB190) | v292(constB190) | v290(constB190))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB190) | v292(constB190) | v290(constB190))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29654,plain,
% 83.73/53.36 ((v292(constB190) | v302(constB190) | v290(constB190)) <=> (v302(constB190) | v292(constB190) | v290(constB190))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29655,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB190) | v302(constB190) | v290(constB190))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB190) | v292(constB190) | v290(constB190)))),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29654])).
% 83.73/53.36 tff(29656,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB190) | v302(constB190) | v290(constB190))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB190) | v292(constB190) | v290(constB190))),
% 83.73/53.36 inference(transitivity,[status(thm)],[29655, 29653])).
% 83.73/53.36 tff(29657,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB190) | v302(constB190) | v290(constB190))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29658,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB190) | v292(constB190) | v290(constB190)),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 83.73/53.36 tff(29659,plain,
% 83.73/53.36 (v292(constB190) | v290(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29658, 5074, 29652])).
% 83.73/53.36 tff(29660,plain,
% 83.73/53.36 (v290(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29659, 29640])).
% 83.73/53.36 tff(29661,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB190) | (~v307(constB190)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB190) | (~v307(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29662,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB190) | (~v307(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29663,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB190) | (~v307(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29662, 29661])).
% 83.73/53.36 tff(29664,plain,
% 83.73/53.36 (~v307(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29663, 22640, 29620])).
% 83.73/53.36 tff(29665,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB190) | v289(constB190) | (~v290(constB190)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB190) | v289(constB190) | (~v290(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29666,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB190) | v289(constB190) | (~v290(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29667,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB190) | v289(constB190) | (~v290(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29666, 29665])).
% 83.73/53.36 tff(29668,plain,
% 83.73/53.36 (v289(constB190) | (~v290(constB190))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29667, 5092, 29664])).
% 83.73/53.36 tff(29669,plain,
% 83.73/53.36 (v289(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29668, 29660])).
% 83.73/53.36 tff(29670,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB190) | (~v311(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB190) | (~v311(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29671,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB190) | (~v311(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29672,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB190) | (~v311(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29671, 29670])).
% 83.73/53.36 tff(29673,plain,
% 83.73/53.36 (~v311(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29672, 22659, 29612])).
% 83.73/53.36 tff(29674,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB190) | (~v310(constB190)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB190) | (~v310(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29675,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB190) | (~v310(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29676,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB190) | (~v310(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 83.73/53.36 tff(29677,plain,
% 83.73/53.36 (~v310(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29676, 3574, 29673])).
% 83.73/53.36 tff(29678,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB190) | (~v309(constB190)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB190) | (~v309(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29679,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB190) | (~v309(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29680,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB190) | (~v309(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 83.73/53.36 tff(29681,plain,
% 83.73/53.36 (~v309(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29680, 3588, 29677])).
% 83.73/53.36 tff(29682,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB190) | v288(constB190) | (~v289(constB190)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB190) | v288(constB190) | (~v289(constB190)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29683,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB190) | v288(constB190) | (~v289(constB190)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29684,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB190) | v288(constB190) | (~v289(constB190))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 83.73/53.36 tff(29685,plain,
% 83.73/53.36 (v288(constB190) | (~v289(constB190))),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29684, 5107, 29681])).
% 83.73/53.36 tff(29686,plain,
% 83.73/53.36 (v288(constB190)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29685, 29669])).
% 83.73/53.36 tff(29687,plain,
% 83.73/53.36 ($false),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29686, 29605])).
% 83.73/53.36 tff(29688,plain,((~(constB190 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.36 tff(29689,plain,
% 83.73/53.36 (~(constB190 = sK_VarCurr)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29688, 5240])).
% 83.73/53.36 tff(29690,assumption,(constB193 = sK_VarCurr), introduced(assumption)).
% 83.73/53.36 tff(29691,plain,
% 83.73/53.36 (v288(constB193) <=> v288(sK_VarCurr)),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29690])).
% 83.73/53.36 tff(29692,plain,
% 83.73/53.36 (v288(sK_VarCurr) <=> v288(constB193)),
% 83.73/53.36 inference(symmetry,[status(thm)],[29691])).
% 83.73/53.36 tff(29693,plain,
% 83.73/53.36 ((~v288(sK_VarCurr)) <=> (~v288(constB193))),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29692])).
% 83.73/53.36 tff(29694,plain,
% 83.73/53.36 (~v288(constB193)),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[5240, 29693])).
% 83.73/53.36 tff(29695,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29696,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29697,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29696, 29695])).
% 83.73/53.36 tff(29698,plain,
% 83.73/53.36 (~v122(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29697, 2006, 28558])).
% 83.73/53.36 tff(29699,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29700,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29701,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29700, 29699])).
% 83.73/53.36 tff(29702,plain,
% 83.73/53.36 (~v121(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29701, 2017, 28558])).
% 83.73/53.36 tff(29703,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29704,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29705,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 83.73/53.36 tff(29706,plain,
% 83.73/53.36 (~v124(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29705, 2061, 28579])).
% 83.73/53.36 tff(29707,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29708,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29709,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29708, 29707])).
% 83.73/53.36 tff(29710,plain,
% 83.73/53.36 (~v120(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29709, 2039, 28579])).
% 83.73/53.36 tff(29711,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29712,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29713,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 83.73/53.36 tff(29714,plain,
% 83.73/53.36 (~v123(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29713, 2050, 28579])).
% 83.73/53.36 tff(29715,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29716,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29717,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 83.73/53.36 tff(29718,plain,
% 83.73/53.36 (~v119(constB169)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29717, 2028, 28579])).
% 83.73/53.36 tff(29719,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29720,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29721,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2))),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 83.73/53.36 tff(29722,plain,
% 83.73/53.36 (~v130(constB169, 2)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29721, 2075, 29718, 29714, 29710, 29706, 29702, 29698])).
% 83.73/53.36 tff(29723,assumption,(v26(constB169)), introduced(assumption)).
% 83.73/53.36 tff(29724,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29725,plain,
% 83.73/53.36 ($false),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29724, 19, 29723])).
% 83.73/53.36 tff(29726,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.36 tff(29727,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29728,plain,
% 83.73/53.36 ((v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2))) <=> ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29729,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)))),
% 83.73/53.36 inference(monotonicity,[status(thm)],[29728])).
% 83.73/53.36 tff(29730,plain,
% 83.73/53.36 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 83.73/53.36 inference(transitivity,[status(thm)],[29729, 29727])).
% 83.73/53.36 tff(29731,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))),
% 83.73/53.36 inference(quant_inst,[status(thm)],[])).
% 83.73/53.36 tff(29732,plain,
% 83.73/53.36 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)),
% 83.73/53.36 inference(modus_ponens,[status(thm)],[29731, 29730])).
% 83.73/53.36 tff(29733,plain,
% 83.73/53.36 ((~v127(constB169, 2)) | v130(constB169, 2)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29732, 556, 29726])).
% 83.73/53.36 tff(29734,plain,
% 83.73/53.36 (~v127(constB169, 2)),
% 83.73/53.36 inference(unit_resolution,[status(thm)],[29733, 29722])).
% 83.73/53.36 tff(29735,plain,
% 83.73/53.36 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 83.73/53.36 inference(rewrite,[status(thm)],[])).
% 83.73/53.36 tff(29736,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 83.73/53.36 tff(29737,plain,
% 83.73/53.36 (nextState(constB169, constB170)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 83.73/53.37 tff(29738,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29739,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29740,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29739, 29738])).
% 83.73/53.37 tff(29741,plain,
% 83.73/53.37 (v127(constB169, 2) | (~v129(constB170, 2))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29740, 574, 29737])).
% 83.73/53.37 tff(29742,plain,
% 83.73/53.37 (~v129(constB170, 2)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29741, 29734])).
% 83.73/53.37 tff(29743,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29744,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29745,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29744, 29743])).
% 83.73/53.37 tff(29746,plain,
% 83.73/53.37 (v125(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29745, 1934, 28540, 28579, 28558])).
% 83.73/53.37 tff(29747,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v125(constB169)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v125(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29748,plain,
% 83.73/53.37 (((~v125(constB169)) | v113(constB169)) <=> (v113(constB169) | (~v125(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29749,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v125(constB169))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29748])).
% 83.73/53.37 tff(29750,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v125(constB169)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29749, 29747])).
% 83.73/53.37 tff(29751,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29752,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v125(constB169))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29751, 29750])).
% 83.73/53.37 tff(29753,plain,
% 83.73/53.37 (v113(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29752, 1946, 29746])).
% 83.73/53.37 tff(29754,assumption,(~v108(constB169)), introduced(assumption)).
% 83.73/53.37 tff(29755,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29756,plain,
% 83.73/53.37 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29757,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29756])).
% 83.73/53.37 tff(29758,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29757, 29755])).
% 83.73/53.37 tff(29759,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29760,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 83.73/53.37 tff(29761,plain,
% 83.73/53.37 (~v112(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29760, 268, 29754])).
% 83.73/53.37 tff(29762,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29763,plain,
% 83.73/53.37 (((~v26(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v26(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29764,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v26(constB169))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29763])).
% 83.73/53.37 tff(29765,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29764, 29762])).
% 83.73/53.37 tff(29766,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29767,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29766, 29765])).
% 83.73/53.37 tff(29768,plain,
% 83.73/53.37 (~v26(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29767, 685, 29754])).
% 83.73/53.37 tff(29769,assumption,(v113(constB169)), introduced(assumption)).
% 83.73/53.37 tff(29770,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29771,plain,
% 83.73/53.37 ((v26(constB169) | (~v113(constB169)) | v112(constB169)) <=> (v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29772,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | v112(constB169) | (~v113(constB169))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29771])).
% 83.73/53.37 tff(29773,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29772, 29770])).
% 83.73/53.37 tff(29774,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29775,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | v112(constB169) | (~v113(constB169))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29774, 29773])).
% 83.73/53.37 tff(29776,plain,
% 83.73/53.37 (v26(constB169) | v112(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29775, 256, 29769])).
% 83.73/53.37 tff(29777,plain,
% 83.73/53.37 ($false),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29776, 29768, 29761])).
% 83.73/53.37 tff(29778,plain,(v108(constB169) | (~v113(constB169))), inference(lemma,lemma(discharge,[]))).
% 83.73/53.37 tff(29779,plain,
% 83.73/53.37 (v108(constB169)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29778, 29753])).
% 83.73/53.37 tff(29780,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29781,plain,
% 83.73/53.37 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29782,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29781])).
% 83.73/53.37 tff(29783,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29782, 29780])).
% 83.73/53.37 tff(29784,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29785,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29784, 29783])).
% 83.73/53.37 tff(29786,plain,
% 83.73/53.37 (v110(constB170) | (~v108(constB169))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29785, 288, 29737])).
% 83.73/53.37 tff(29787,plain,
% 83.73/53.37 (v110(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29786, 29779])).
% 83.73/53.37 tff(29788,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29789,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29790,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 83.73/53.37 tff(29791,plain,
% 83.73/53.37 (~v104(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29790, 306, 29737, 28516])).
% 83.73/53.37 tff(29792,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29793,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29794,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29793, 29792])).
% 83.73/53.37 tff(29795,plain,
% 83.73/53.37 (v102(constB170) | v104(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29794, 320, 29737])).
% 83.73/53.37 tff(29796,plain,
% 83.73/53.37 (v102(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29795, 29791])).
% 83.73/53.37 tff(29797,plain,
% 83.73/53.37 (v1(constB170) <=> v1(constB170)),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29798,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 83.73/53.37 tff(29799,plain,
% 83.73/53.37 (v1(constB170)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29798, 29797])).
% 83.73/53.37 tff(29800,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29801,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29802,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29801, 29800])).
% 83.73/53.37 tff(29803,plain,
% 83.73/53.37 (v101(constB170) | (~v102(constB170))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29802, 338, 29737, 29799])).
% 83.73/53.37 tff(29804,plain,
% 83.73/53.37 (v101(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29803, 29796])).
% 83.73/53.37 tff(29805,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29806,plain,
% 83.73/53.37 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29807,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29806])).
% 83.73/53.37 tff(29808,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29807, 29805])).
% 83.73/53.37 tff(29809,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29810,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29809, 29808])).
% 83.73/53.37 tff(29811,plain,
% 83.73/53.37 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29810, 353, 29737])).
% 83.73/53.37 tff(29812,plain,
% 83.73/53.37 (v100(constB170) | (~v110(constB170))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29811, 29804])).
% 83.73/53.37 tff(29813,plain,
% 83.73/53.37 (v100(constB170)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29812, 29787])).
% 83.73/53.37 tff(29814,plain,
% 83.73/53.37 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29815,plain,
% 83.73/53.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29816,plain,
% 83.73/53.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29815, 29814])).
% 83.73/53.37 tff(29817,plain,
% 83.73/53.37 (~v90(constB170, 2)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29816, 589, 29813, 29742])).
% 83.73/53.37 tff(29818,plain,
% 83.73/53.37 ((~v1(constB171)) <=> (~v1(constB171))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29819,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 83.73/53.37 tff(29820,plain,
% 83.73/53.37 (~v1(constB171)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29819, 29818])).
% 83.73/53.37 tff(29821,plain,
% 83.73/53.37 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29822,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 83.73/53.37 tff(29823,plain,
% 83.73/53.37 (nextState(constB170, constB171)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 83.73/53.37 tff(29824,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29825,plain,
% 83.73/53.37 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29826,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29825])).
% 83.73/53.37 tff(29827,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29826, 29824])).
% 83.73/53.37 tff(29828,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29829,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 83.73/53.37 tff(29830,plain,
% 83.73/53.37 (~v101(constB171)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29829, 66, 29823, 29820])).
% 83.73/53.37 tff(29831,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29832,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29833,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29832, 29831])).
% 83.73/53.37 tff(29834,plain,
% 83.73/53.37 (v101(constB171) | (~v100(constB171))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29833, 83, 29823])).
% 83.73/53.37 tff(29835,plain,
% 83.73/53.37 (~v100(constB171)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29834, 29830])).
% 83.73/53.37 tff(29836,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29837,plain,
% 83.73/53.37 (((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))) <=> (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29838,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29837])).
% 83.73/53.37 tff(29839,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29838, 29836])).
% 83.73/53.37 tff(29840,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29841,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29840, 29839])).
% 83.73/53.37 tff(29842,plain,
% 83.73/53.37 (v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29841, 98, 29823])).
% 83.73/53.37 tff(29843,plain,
% 83.73/53.37 (v90(constB170, 2) | (~v90(constB171, 2))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29842, 29835])).
% 83.73/53.37 tff(29844,plain,
% 83.73/53.37 (~v90(constB171, 2)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29843, 29817])).
% 83.73/53.37 tff(29845,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29846,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29847,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29846, 29845])).
% 83.73/53.37 tff(29848,plain,
% 83.73/53.37 (~v130(constB169, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29847, 2135, 29718, 29714, 29710, 29706, 29702, 29698])).
% 83.73/53.37 tff(29849,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29850,plain,
% 83.73/53.37 ((v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1))) <=> ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29851,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29850])).
% 83.73/53.37 tff(29852,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29851, 29849])).
% 83.73/53.37 tff(29853,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29854,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 83.73/53.37 tff(29855,plain,
% 83.73/53.37 ((~v127(constB169, 1)) | v130(constB169, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29854, 383, 29726])).
% 83.73/53.37 tff(29856,plain,
% 83.73/53.37 (~v127(constB169, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29855, 29848])).
% 83.73/53.37 tff(29857,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29858,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29859,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29858, 29857])).
% 83.73/53.37 tff(29860,plain,
% 83.73/53.37 (v127(constB169, 1) | (~v129(constB170, 1))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29859, 401, 29737])).
% 83.73/53.37 tff(29861,plain,
% 83.73/53.37 (~v129(constB170, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29860, 29856])).
% 83.73/53.37 tff(29862,plain,
% 83.73/53.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29863,plain,
% 83.73/53.37 (((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1)) <=> ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29864,plain,
% 83.73/53.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29863])).
% 83.73/53.37 tff(29865,plain,
% 83.73/53.37 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29864, 29862])).
% 83.73/53.37 tff(29866,plain,
% 83.73/53.37 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29867,plain,
% 83.73/53.37 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29866, 29865])).
% 83.73/53.37 tff(29868,plain,
% 83.73/53.37 (~v90(constB170, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29867, 416, 29813, 29861])).
% 83.73/53.37 tff(29869,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29870,plain,
% 83.73/53.37 (((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))) <=> (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29871,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29870])).
% 83.73/53.37 tff(29872,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29871, 29869])).
% 83.73/53.37 tff(29873,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29874,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 83.73/53.37 tff(29875,plain,
% 83.73/53.37 (v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29874, 119, 29823])).
% 83.73/53.37 tff(29876,plain,
% 83.73/53.37 (v90(constB170, 1) | (~v90(constB171, 1))),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29875, 29835])).
% 83.73/53.37 tff(29877,plain,
% 83.73/53.37 (~v90(constB171, 1)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29876, 29868])).
% 83.73/53.37 tff(29878,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29879,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29880,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 83.73/53.37 tff(29881,plain,
% 83.73/53.37 (v130(constB169, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29880, 2180, 29718, 29714, 29710, 29706, 29702, 29698])).
% 83.73/53.37 tff(29882,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29883,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29884,plain,
% 83.73/53.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 83.73/53.37 tff(29885,plain,
% 83.73/53.37 ((~v130(constB169, 0)) | v127(constB169, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29884, 478, 29726])).
% 83.73/53.37 tff(29886,plain,
% 83.73/53.37 (v127(constB169, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29885, 29881])).
% 83.73/53.37 tff(29887,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29888,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29889,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29888, 29887])).
% 83.73/53.37 tff(29890,plain,
% 83.73/53.37 ((~v127(constB169, 0)) | v129(constB170, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29889, 493, 29737])).
% 83.73/53.37 tff(29891,plain,
% 83.73/53.37 (v129(constB170, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29890, 29886])).
% 83.73/53.37 tff(29892,plain,
% 83.73/53.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29893,plain,
% 83.73/53.37 ((v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0))) <=> (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29894,plain,
% 83.73/53.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29893])).
% 83.73/53.37 tff(29895,plain,
% 83.73/53.37 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29894, 29892])).
% 83.73/53.37 tff(29896,plain,
% 83.73/53.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29897,plain,
% 83.73/53.37 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29896, 29895])).
% 83.73/53.37 tff(29898,plain,
% 83.73/53.37 (v90(constB170, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29897, 508, 29813, 29891])).
% 83.73/53.37 tff(29899,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29900,plain,
% 83.73/53.37 (((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)) <=> ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 83.73/53.37 inference(rewrite,[status(thm)],[])).
% 83.73/53.37 tff(29901,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)))),
% 83.73/53.37 inference(monotonicity,[status(thm)],[29900])).
% 83.73/53.37 tff(29902,plain,
% 83.73/53.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 83.73/53.37 inference(transitivity,[status(thm)],[29901, 29899])).
% 83.73/53.37 tff(29903,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))),
% 83.73/53.37 inference(quant_inst,[status(thm)],[])).
% 83.73/53.37 tff(29904,plain,
% 83.73/53.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)),
% 83.73/53.37 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 83.73/53.37 tff(29905,plain,
% 83.73/53.37 ((~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29904, 526, 29823])).
% 83.73/53.37 tff(29906,plain,
% 83.73/53.37 ((~v90(constB170, 0)) | v90(constB171, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29905, 29835])).
% 83.73/53.37 tff(29907,plain,
% 83.73/53.37 (v90(constB171, 0)),
% 83.73/53.37 inference(unit_resolution,[status(thm)],[29906, 29898])).
% 83.73/53.37 tff(29908,plain,
% 83.73/53.37 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29909,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29910,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29909, 29908])).
% 83.73/53.38 tff(29911,plain,
% 83.73/53.38 (v120(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29910, 614, 29907, 29877, 29844])).
% 83.73/53.38 tff(29912,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB171)) | v118(constB171))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29913,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29914,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB171)) | v118(constB171)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29913, 29912])).
% 83.73/53.38 tff(29915,plain,
% 83.73/53.38 (v118(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29914, 628, 29911])).
% 83.73/53.38 tff(29916,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29917,plain,
% 83.73/53.38 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29918,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29917])).
% 83.73/53.38 tff(29919,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29918, 29916])).
% 83.73/53.38 tff(29920,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29921,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 83.73/53.38 tff(29922,plain,
% 83.73/53.38 (v117(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29921, 186, 29915])).
% 83.73/53.38 tff(29923,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29924,plain,
% 83.73/53.38 (((~v117(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v117(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29925,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29924])).
% 83.73/53.38 tff(29926,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29925, 29923])).
% 83.73/53.38 tff(29927,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29928,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29927, 29926])).
% 83.73/53.38 tff(29929,plain,
% 83.73/53.38 (v116(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29928, 200, 29922])).
% 83.73/53.38 tff(29930,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29931,plain,
% 83.73/53.38 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29932,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29931])).
% 83.73/53.38 tff(29933,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29932, 29930])).
% 83.73/53.38 tff(29934,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29935,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29934, 29933])).
% 83.73/53.38 tff(29936,plain,
% 83.73/53.38 (v115(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29935, 214, 29929])).
% 83.73/53.38 tff(29937,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29938,plain,
% 83.73/53.38 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29939,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29938])).
% 83.73/53.38 tff(29940,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29939, 29937])).
% 83.73/53.38 tff(29941,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29942,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29941, 29940])).
% 83.73/53.38 tff(29943,plain,
% 83.73/53.38 (v114(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29942, 228, 29936])).
% 83.73/53.38 tff(29944,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29945,plain,
% 83.73/53.38 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29946,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29945])).
% 83.73/53.38 tff(29947,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29946, 29944])).
% 83.73/53.38 tff(29948,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29949,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 83.73/53.38 tff(29950,plain,
% 83.73/53.38 (v113(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29949, 242, 29943])).
% 83.73/53.38 tff(29951,assumption,(v26(constB171)), introduced(assumption)).
% 83.73/53.38 tff(29952,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29953,plain,
% 83.73/53.38 ($false),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29952, 19, 29951])).
% 83.73/53.38 tff(29954,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.38 tff(29955,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29956,plain,
% 83.73/53.38 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29957,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29956])).
% 83.73/53.38 tff(29958,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29957, 29955])).
% 83.73/53.38 tff(29959,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29960,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29959, 29958])).
% 83.73/53.38 tff(29961,plain,
% 83.73/53.38 (v112(constB171) | (~v113(constB171))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29960, 256, 29954])).
% 83.73/53.38 tff(29962,plain,
% 83.73/53.38 (v112(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29961, 29950])).
% 83.73/53.38 tff(29963,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29964,plain,
% 83.73/53.38 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29965,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29964])).
% 83.73/53.38 tff(29966,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29965, 29963])).
% 83.73/53.38 tff(29967,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29968,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 83.73/53.38 tff(29969,plain,
% 83.73/53.38 (v108(constB171)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29968, 268, 29962])).
% 83.73/53.38 tff(29970,plain,
% 83.73/53.38 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29971,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 83.73/53.38 tff(29972,plain,
% 83.73/53.38 (nextState(constB171, constB172)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 83.73/53.38 tff(29973,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29974,plain,
% 83.73/53.38 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29975,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29974])).
% 83.73/53.38 tff(29976,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[29975, 29973])).
% 83.73/53.38 tff(29977,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29978,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29977, 29976])).
% 83.73/53.38 tff(29979,plain,
% 83.73/53.38 (v110(constB172) | (~v108(constB171))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29978, 288, 29972])).
% 83.73/53.38 tff(29980,plain,
% 83.73/53.38 (v110(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29979, 29969])).
% 83.73/53.38 tff(29981,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29982,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29983,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 83.73/53.38 tff(29984,plain,
% 83.73/53.38 (~v104(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29983, 306, 29972, 29820])).
% 83.73/53.38 tff(29985,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29986,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29987,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 83.73/53.38 tff(29988,plain,
% 83.73/53.38 (v102(constB172) | v104(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29987, 320, 29972])).
% 83.73/53.38 tff(29989,plain,
% 83.73/53.38 (v102(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29988, 29984])).
% 83.73/53.38 tff(29990,plain,
% 83.73/53.38 (v1(constB172) <=> v1(constB172)),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29991,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 83.73/53.38 tff(29992,plain,
% 83.73/53.38 (v1(constB172)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29991, 29990])).
% 83.73/53.38 tff(29993,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29994,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(29995,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 83.73/53.38 tff(29996,plain,
% 83.73/53.38 (v101(constB172) | (~v102(constB172))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29995, 338, 29972, 29992])).
% 83.73/53.38 tff(29997,plain,
% 83.73/53.38 (v101(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[29996, 29989])).
% 83.73/53.38 tff(29998,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(29999,plain,
% 83.73/53.38 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30000,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[29999])).
% 83.73/53.38 tff(30001,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30000, 29998])).
% 83.73/53.38 tff(30002,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30003,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30002, 30001])).
% 83.73/53.38 tff(30004,plain,
% 83.73/53.38 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30003, 353, 29972])).
% 83.73/53.38 tff(30005,plain,
% 83.73/53.38 (v100(constB172) | (~v110(constB172))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30004, 29997])).
% 83.73/53.38 tff(30006,plain,
% 83.73/53.38 (v100(constB172)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30005, 29980])).
% 83.73/53.38 tff(30007,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30008,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30009,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30008, 30007])).
% 83.73/53.38 tff(30010,plain,
% 83.73/53.38 (~v130(constB171, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30009, 744, 29911])).
% 83.73/53.38 tff(30011,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30012,plain,
% 83.73/53.38 ((v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2))) <=> ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30013,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30012])).
% 83.73/53.38 tff(30014,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30013, 30011])).
% 83.73/53.38 tff(30015,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30016,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30015, 30014])).
% 83.73/53.38 tff(30017,plain,
% 83.73/53.38 ((~v127(constB171, 2)) | v130(constB171, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30016, 556, 29954])).
% 83.73/53.38 tff(30018,plain,
% 83.73/53.38 (~v127(constB171, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30017, 30010])).
% 83.73/53.38 tff(30019,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30020,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30021,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 83.73/53.38 tff(30022,plain,
% 83.73/53.38 (v127(constB171, 2) | (~v129(constB172, 2))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30021, 574, 29972])).
% 83.73/53.38 tff(30023,plain,
% 83.73/53.38 (~v129(constB172, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30022, 30018])).
% 83.73/53.38 tff(30024,plain,
% 83.73/53.38 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30025,plain,
% 83.73/53.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30026,plain,
% 83.73/53.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 83.73/53.38 tff(30027,plain,
% 83.73/53.38 ((~v90(constB172, 2)) | (~v100(constB172))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30026, 589, 30023])).
% 83.73/53.38 tff(30028,plain,
% 83.73/53.38 (~v90(constB172, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30027, 30006])).
% 83.73/53.38 tff(30029,plain,
% 83.73/53.38 ((~v1(constB173)) <=> (~v1(constB173))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30030,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 83.73/53.38 tff(30031,plain,
% 83.73/53.38 (~v1(constB173)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30030, 30029])).
% 83.73/53.38 tff(30032,plain,
% 83.73/53.38 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30033,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 83.73/53.38 tff(30034,plain,
% 83.73/53.38 (nextState(constB172, constB173)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 83.73/53.38 tff(30035,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30036,plain,
% 83.73/53.38 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30037,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30036])).
% 83.73/53.38 tff(30038,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30037, 30035])).
% 83.73/53.38 tff(30039,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30040,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 83.73/53.38 tff(30041,plain,
% 83.73/53.38 (~v101(constB173)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30040, 66, 30034, 30031])).
% 83.73/53.38 tff(30042,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30043,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30044,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30043, 30042])).
% 83.73/53.38 tff(30045,plain,
% 83.73/53.38 (v101(constB173) | (~v100(constB173))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30044, 83, 30034])).
% 83.73/53.38 tff(30046,plain,
% 83.73/53.38 (~v100(constB173)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30045, 30041])).
% 83.73/53.38 tff(30047,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30048,plain,
% 83.73/53.38 (((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))) <=> (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30049,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30048])).
% 83.73/53.38 tff(30050,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30049, 30047])).
% 83.73/53.38 tff(30051,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30052,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30051, 30050])).
% 83.73/53.38 tff(30053,plain,
% 83.73/53.38 (v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30052, 98, 30034])).
% 83.73/53.38 tff(30054,plain,
% 83.73/53.38 (v90(constB172, 2) | (~v90(constB173, 2))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30053, 30046])).
% 83.73/53.38 tff(30055,plain,
% 83.73/53.38 (~v90(constB173, 2)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30054, 30028])).
% 83.73/53.38 tff(30056,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30057,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30058,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 83.73/53.38 tff(30059,plain,
% 83.73/53.38 (v130(constB171, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30058, 804, 29911])).
% 83.73/53.38 tff(30060,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30061,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30062,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 83.73/53.38 tff(30063,plain,
% 83.73/53.38 ((~v130(constB171, 1)) | v127(constB171, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30062, 818, 29954])).
% 83.73/53.38 tff(30064,plain,
% 83.73/53.38 (v127(constB171, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30063, 30059])).
% 83.73/53.38 tff(30065,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30066,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30067,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 83.73/53.38 tff(30068,plain,
% 83.73/53.38 ((~v127(constB171, 1)) | v129(constB172, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30067, 833, 29972])).
% 83.73/53.38 tff(30069,plain,
% 83.73/53.38 (v129(constB172, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30068, 30064])).
% 83.73/53.38 tff(30070,plain,
% 83.73/53.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30071,plain,
% 83.73/53.38 ((v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1))) <=> (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30072,plain,
% 83.73/53.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30071])).
% 83.73/53.38 tff(30073,plain,
% 83.73/53.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30072, 30070])).
% 83.73/53.38 tff(30074,plain,
% 83.73/53.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30075,plain,
% 83.73/53.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30074, 30073])).
% 83.73/53.38 tff(30076,plain,
% 83.73/53.38 (v90(constB172, 1) | (~v100(constB172))),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30075, 848, 30069])).
% 83.73/53.38 tff(30077,plain,
% 83.73/53.38 (v90(constB172, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30076, 30006])).
% 83.73/53.38 tff(30078,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30079,plain,
% 83.73/53.38 (((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)) <=> ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30080,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30079])).
% 83.73/53.38 tff(30081,plain,
% 83.73/53.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30080, 30078])).
% 83.73/53.38 tff(30082,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30083,plain,
% 83.73/53.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30082, 30081])).
% 83.73/53.38 tff(30084,plain,
% 83.73/53.38 ((~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30083, 866, 30034])).
% 83.73/53.38 tff(30085,plain,
% 83.73/53.38 ((~v90(constB172, 1)) | v90(constB173, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30084, 30046])).
% 83.73/53.38 tff(30086,plain,
% 83.73/53.38 (v90(constB173, 1)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30085, 30077])).
% 83.73/53.38 tff(30087,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0)))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30088,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))),
% 83.73/53.38 inference(quant_inst,[status(thm)],[])).
% 83.73/53.38 tff(30089,plain,
% 83.73/53.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0))),
% 83.73/53.38 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 83.73/53.38 tff(30090,plain,
% 83.73/53.38 (~v130(constB171, 0)),
% 83.73/53.38 inference(unit_resolution,[status(thm)],[30089, 882, 29911])).
% 83.73/53.38 tff(30091,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30092,plain,
% 83.73/53.38 ((v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0))) <=> ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 83.73/53.38 inference(rewrite,[status(thm)],[])).
% 83.73/53.38 tff(30093,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)))),
% 83.73/53.38 inference(monotonicity,[status(thm)],[30092])).
% 83.73/53.38 tff(30094,plain,
% 83.73/53.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 83.73/53.38 inference(transitivity,[status(thm)],[30093, 30091])).
% 83.73/53.39 tff(30095,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30096,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30095, 30094])).
% 83.73/53.39 tff(30097,plain,
% 83.73/53.39 ((~v127(constB171, 0)) | v130(constB171, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30096, 896, 29954])).
% 83.73/53.39 tff(30098,plain,
% 83.73/53.39 (~v127(constB171, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30097, 30090])).
% 83.73/53.39 tff(30099,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30100,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30101,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30100, 30099])).
% 83.73/53.39 tff(30102,plain,
% 83.73/53.39 (v127(constB171, 0) | (~v129(constB172, 0))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30101, 914, 29972])).
% 83.73/53.39 tff(30103,plain,
% 83.73/53.39 (~v129(constB172, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30102, 30098])).
% 83.73/53.39 tff(30104,plain,
% 83.73/53.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30105,plain,
% 83.73/53.39 (((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0)) <=> ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30106,plain,
% 83.73/53.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30105])).
% 83.73/53.39 tff(30107,plain,
% 83.73/53.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30106, 30104])).
% 83.73/53.39 tff(30108,plain,
% 83.73/53.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30109,plain,
% 83.73/53.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 83.73/53.39 tff(30110,plain,
% 83.73/53.39 ((~v90(constB172, 0)) | (~v100(constB172))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30109, 929, 30103])).
% 83.73/53.39 tff(30111,plain,
% 83.73/53.39 (~v90(constB172, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30110, 30006])).
% 83.73/53.39 tff(30112,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30113,plain,
% 83.73/53.39 (((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))) <=> (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30114,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30113])).
% 83.73/53.39 tff(30115,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30114, 30112])).
% 83.73/53.39 tff(30116,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30117,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30116, 30115])).
% 83.73/53.39 tff(30118,plain,
% 83.73/53.39 (v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30117, 140, 30034])).
% 83.73/53.39 tff(30119,plain,
% 83.73/53.39 (v90(constB172, 0) | (~v90(constB173, 0))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30118, 30046])).
% 83.73/53.39 tff(30120,plain,
% 83.73/53.39 (~v90(constB173, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30119, 30111])).
% 83.73/53.39 tff(30121,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30122,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30123,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30122, 30121])).
% 83.73/53.39 tff(30124,plain,
% 83.73/53.39 (v121(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30123, 956, 30120, 30086, 30055])).
% 83.73/53.39 tff(30125,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30126,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30127,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB173)) | v117(constB173)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30126, 30125])).
% 83.73/53.39 tff(30128,plain,
% 83.73/53.39 (v117(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30127, 967, 30124])).
% 83.73/53.39 tff(30129,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30130,plain,
% 83.73/53.39 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30131,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30130])).
% 83.73/53.39 tff(30132,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30131, 30129])).
% 83.73/53.39 tff(30133,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30134,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30133, 30132])).
% 83.73/53.39 tff(30135,plain,
% 83.73/53.39 (v116(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30134, 200, 30128])).
% 83.73/53.39 tff(30136,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB173)) | v115(constB173))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30137,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30138,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB173)) | v115(constB173)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 83.73/53.39 tff(30139,plain,
% 83.73/53.39 (v115(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30138, 214, 30135])).
% 83.73/53.39 tff(30140,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30141,plain,
% 83.73/53.39 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30142,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30141])).
% 83.73/53.39 tff(30143,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30142, 30140])).
% 83.73/53.39 tff(30144,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30145,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30144, 30143])).
% 83.73/53.39 tff(30146,plain,
% 83.73/53.39 (v114(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30145, 228, 30139])).
% 83.73/53.39 tff(30147,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30148,plain,
% 83.73/53.39 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30149,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30148])).
% 83.73/53.39 tff(30150,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30149, 30147])).
% 83.73/53.39 tff(30151,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30152,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30151, 30150])).
% 83.73/53.39 tff(30153,plain,
% 83.73/53.39 (v113(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30152, 242, 30146])).
% 83.73/53.39 tff(30154,assumption,(v26(constB173)), introduced(assumption)).
% 83.73/53.39 tff(30155,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30156,plain,
% 83.73/53.39 ($false),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30155, 19, 30154])).
% 83.73/53.39 tff(30157,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.39 tff(30158,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30159,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30160,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30159, 30158])).
% 83.73/53.39 tff(30161,plain,
% 83.73/53.39 ((~v113(constB173)) | v112(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30160, 256, 30157])).
% 83.73/53.39 tff(30162,plain,
% 83.73/53.39 (v112(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30161, 30153])).
% 83.73/53.39 tff(30163,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30164,plain,
% 83.73/53.39 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30165,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30164])).
% 83.73/53.39 tff(30166,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30165, 30163])).
% 83.73/53.39 tff(30167,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30168,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 83.73/53.39 tff(30169,plain,
% 83.73/53.39 (v108(constB173)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30168, 268, 30162])).
% 83.73/53.39 tff(30170,plain,
% 83.73/53.39 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30171,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 83.73/53.39 tff(30172,plain,
% 83.73/53.39 (nextState(constB173, constB174)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 83.73/53.39 tff(30173,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30174,plain,
% 83.73/53.39 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30175,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30174])).
% 83.73/53.39 tff(30176,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30175, 30173])).
% 83.73/53.39 tff(30177,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30178,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 83.73/53.39 tff(30179,plain,
% 83.73/53.39 (v110(constB174) | (~v108(constB173))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30178, 288, 30172])).
% 83.73/53.39 tff(30180,plain,
% 83.73/53.39 (v110(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30179, 30169])).
% 83.73/53.39 tff(30181,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30182,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30183,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30182, 30181])).
% 83.73/53.39 tff(30184,plain,
% 83.73/53.39 (~v104(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30183, 306, 30172, 30031])).
% 83.73/53.39 tff(30185,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30186,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30187,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30186, 30185])).
% 83.73/53.39 tff(30188,plain,
% 83.73/53.39 (v102(constB174) | v104(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30187, 320, 30172])).
% 83.73/53.39 tff(30189,plain,
% 83.73/53.39 (v102(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30188, 30184])).
% 83.73/53.39 tff(30190,plain,
% 83.73/53.39 (v1(constB174) <=> v1(constB174)),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30191,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 83.73/53.39 tff(30192,plain,
% 83.73/53.39 (v1(constB174)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30191, 30190])).
% 83.73/53.39 tff(30193,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30194,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30195,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 83.73/53.39 tff(30196,plain,
% 83.73/53.39 (v101(constB174) | (~v102(constB174))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30195, 338, 30172, 30192])).
% 83.73/53.39 tff(30197,plain,
% 83.73/53.39 (v101(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30196, 30189])).
% 83.73/53.39 tff(30198,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30199,plain,
% 83.73/53.39 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30200,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30199])).
% 83.73/53.39 tff(30201,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30200, 30198])).
% 83.73/53.39 tff(30202,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30203,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30202, 30201])).
% 83.73/53.39 tff(30204,plain,
% 83.73/53.39 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30203, 353, 30172])).
% 83.73/53.39 tff(30205,plain,
% 83.73/53.39 (v100(constB174) | (~v110(constB174))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30204, 30197])).
% 83.73/53.39 tff(30206,plain,
% 83.73/53.39 (v100(constB174)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30205, 30180])).
% 83.73/53.39 tff(30207,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30208,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30209,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30208, 30207])).
% 83.73/53.39 tff(30210,plain,
% 83.73/53.39 (v130(constB173, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30209, 1146, 30124])).
% 83.73/53.39 tff(30211,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30212,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30213,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30212, 30211])).
% 83.73/53.39 tff(30214,plain,
% 83.73/53.39 ((~v130(constB173, 0)) | v127(constB173, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30213, 478, 30157])).
% 83.73/53.39 tff(30215,plain,
% 83.73/53.39 (v127(constB173, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30214, 30210])).
% 83.73/53.39 tff(30216,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30217,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30218,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30217, 30216])).
% 83.73/53.39 tff(30219,plain,
% 83.73/53.39 ((~v127(constB173, 0)) | v129(constB174, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30218, 493, 30172])).
% 83.73/53.39 tff(30220,plain,
% 83.73/53.39 (v129(constB174, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30219, 30215])).
% 83.73/53.39 tff(30221,plain,
% 83.73/53.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30222,plain,
% 83.73/53.39 ((v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0))) <=> (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30223,plain,
% 83.73/53.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30222])).
% 83.73/53.39 tff(30224,plain,
% 83.73/53.39 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30223, 30221])).
% 83.73/53.39 tff(30225,plain,
% 83.73/53.39 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30226,plain,
% 83.73/53.39 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30225, 30224])).
% 83.73/53.39 tff(30227,plain,
% 83.73/53.39 (v90(constB174, 0) | (~v100(constB174))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30226, 508, 30220])).
% 83.73/53.39 tff(30228,plain,
% 83.73/53.39 (v90(constB174, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30227, 30206])).
% 83.73/53.39 tff(30229,plain,
% 83.73/53.39 ((~v1(constB175)) <=> (~v1(constB175))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30230,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 83.73/53.39 tff(30231,plain,
% 83.73/53.39 (~v1(constB175)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 83.73/53.39 tff(30232,plain,
% 83.73/53.39 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30233,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 83.73/53.39 tff(30234,plain,
% 83.73/53.39 (nextState(constB174, constB175)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30233, 30232])).
% 83.73/53.39 tff(30235,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30236,plain,
% 83.73/53.39 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30237,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30236])).
% 83.73/53.39 tff(30238,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30237, 30235])).
% 83.73/53.39 tff(30239,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30240,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 83.73/53.39 tff(30241,plain,
% 83.73/53.39 (~v101(constB175)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30240, 66, 30234, 30231])).
% 83.73/53.39 tff(30242,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30243,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30244,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30243, 30242])).
% 83.73/53.39 tff(30245,plain,
% 83.73/53.39 (v101(constB175) | (~v100(constB175))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30244, 83, 30234])).
% 83.73/53.39 tff(30246,plain,
% 83.73/53.39 (~v100(constB175)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30245, 30241])).
% 83.73/53.39 tff(30247,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30248,plain,
% 83.73/53.39 (((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)) <=> ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30249,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30248])).
% 83.73/53.39 tff(30250,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30249, 30247])).
% 83.73/53.39 tff(30251,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30252,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30251, 30250])).
% 83.73/53.39 tff(30253,plain,
% 83.73/53.39 ((~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30252, 526, 30234])).
% 83.73/53.39 tff(30254,plain,
% 83.73/53.39 ((~v90(constB174, 0)) | v90(constB175, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30253, 30246])).
% 83.73/53.39 tff(30255,plain,
% 83.73/53.39 (v90(constB175, 0)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30254, 30228])).
% 83.73/53.39 tff(30256,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30257,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30258,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30257, 30256])).
% 83.73/53.39 tff(30259,plain,
% 83.73/53.39 (~v130(constB173, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30258, 1052, 30124])).
% 83.73/53.39 tff(30260,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30261,plain,
% 83.73/53.39 ((v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2))) <=> ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30262,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30261])).
% 83.73/53.39 tff(30263,plain,
% 83.73/53.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30262, 30260])).
% 83.73/53.39 tff(30264,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30265,plain,
% 83.73/53.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30264, 30263])).
% 83.73/53.39 tff(30266,plain,
% 83.73/53.39 ((~v127(constB173, 2)) | v130(constB173, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30265, 556, 30157])).
% 83.73/53.39 tff(30267,plain,
% 83.73/53.39 (~v127(constB173, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30266, 30259])).
% 83.73/53.39 tff(30268,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30269,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30270,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30269, 30268])).
% 83.73/53.39 tff(30271,plain,
% 83.73/53.39 (v127(constB173, 2) | (~v129(constB174, 2))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30270, 574, 30172])).
% 83.73/53.39 tff(30272,plain,
% 83.73/53.39 (~v129(constB174, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30271, 30267])).
% 83.73/53.39 tff(30273,plain,
% 83.73/53.39 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30274,plain,
% 83.73/53.39 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30275,plain,
% 83.73/53.39 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30274, 30273])).
% 83.73/53.39 tff(30276,plain,
% 83.73/53.39 ((~v90(constB174, 2)) | (~v100(constB174))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30275, 589, 30272])).
% 83.73/53.39 tff(30277,plain,
% 83.73/53.39 (~v90(constB174, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30276, 30206])).
% 83.73/53.39 tff(30278,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30279,plain,
% 83.73/53.39 (((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))) <=> (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 83.73/53.39 inference(rewrite,[status(thm)],[])).
% 83.73/53.39 tff(30280,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))))),
% 83.73/53.39 inference(monotonicity,[status(thm)],[30279])).
% 83.73/53.39 tff(30281,plain,
% 83.73/53.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 83.73/53.39 inference(transitivity,[status(thm)],[30280, 30278])).
% 83.73/53.39 tff(30282,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))),
% 83.73/53.39 inference(quant_inst,[status(thm)],[])).
% 83.73/53.39 tff(30283,plain,
% 83.73/53.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))),
% 83.73/53.39 inference(modus_ponens,[status(thm)],[30282, 30281])).
% 83.73/53.39 tff(30284,plain,
% 83.73/53.39 (v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30283, 98, 30234])).
% 83.73/53.39 tff(30285,plain,
% 83.73/53.39 (v90(constB174, 2) | (~v90(constB175, 2))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30284, 30246])).
% 83.73/53.39 tff(30286,plain,
% 83.73/53.39 (~v90(constB175, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30285, 30277])).
% 83.73/53.39 tff(30287,assumption,(v120(constB171)), introduced(assumption)).
% 83.73/53.39 tff(30288,plain,
% 83.73/53.39 (v118(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29914, 628, 30287])).
% 83.73/53.39 tff(30289,plain,
% 83.73/53.39 (v117(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29921, 186, 30288])).
% 83.73/53.39 tff(30290,plain,
% 83.73/53.39 (v116(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29928, 200, 30289])).
% 83.73/53.39 tff(30291,plain,
% 83.73/53.39 (v115(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29935, 214, 30290])).
% 83.73/53.39 tff(30292,plain,
% 83.73/53.39 (v114(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29942, 228, 30291])).
% 83.73/53.39 tff(30293,plain,
% 83.73/53.39 (v113(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29949, 242, 30292])).
% 83.73/53.39 tff(30294,plain,
% 83.73/53.39 (v112(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29961, 30293])).
% 83.73/53.39 tff(30295,plain,
% 83.73/53.39 (v108(constB171)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29968, 268, 30294])).
% 83.73/53.39 tff(30296,plain,
% 83.73/53.39 (v110(constB172)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[29979, 30295])).
% 83.73/53.39 tff(30297,plain,
% 83.73/53.39 (v100(constB172)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30005, 30296])).
% 83.73/53.39 tff(30298,plain,
% 83.73/53.39 (~v130(constB171, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30009, 744, 30287])).
% 83.73/53.39 tff(30299,plain,
% 83.73/53.39 (~v127(constB171, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30017, 30298])).
% 83.73/53.39 tff(30300,plain,
% 83.73/53.39 (~v129(constB172, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30022, 30299])).
% 83.73/53.39 tff(30301,plain,
% 83.73/53.39 ((~v90(constB172, 2)) | (~v100(constB172))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30026, 589, 30300])).
% 83.73/53.39 tff(30302,plain,
% 83.73/53.39 (~v90(constB172, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30301, 30297])).
% 83.73/53.39 tff(30303,plain,
% 83.73/53.39 (~v90(constB173, 2)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30054, 30302])).
% 83.73/53.39 tff(30304,plain,
% 83.73/53.39 (v130(constB171, 1)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30058, 804, 30287])).
% 83.73/53.39 tff(30305,plain,
% 83.73/53.39 (v127(constB171, 1)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30063, 30304])).
% 83.73/53.39 tff(30306,plain,
% 83.73/53.39 (v129(constB172, 1)),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30068, 30305])).
% 83.73/53.39 tff(30307,plain,
% 83.73/53.39 (v90(constB172, 1) | (~v100(constB172))),
% 83.73/53.39 inference(unit_resolution,[status(thm)],[30075, 848, 30306])).
% 83.73/53.40 tff(30308,plain,
% 83.73/53.40 (v90(constB172, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30307, 30297])).
% 83.73/53.40 tff(30309,plain,
% 83.73/53.40 (v90(constB173, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30085, 30308])).
% 83.73/53.40 tff(30310,plain,
% 83.73/53.40 (~v130(constB171, 0)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30089, 882, 30287])).
% 83.73/53.40 tff(30311,plain,
% 83.73/53.40 (~v127(constB171, 0)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30097, 30310])).
% 83.73/53.40 tff(30312,plain,
% 83.73/53.40 (~v129(constB172, 0)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30102, 30311])).
% 83.73/53.40 tff(30313,plain,
% 83.73/53.40 ((~v90(constB172, 0)) | (~v100(constB172))),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30109, 929, 30312])).
% 83.73/53.40 tff(30314,plain,
% 83.73/53.40 (~v90(constB172, 0)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30313, 30297])).
% 83.73/53.40 tff(30315,plain,
% 83.73/53.40 (~v90(constB173, 0)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30119, 30314])).
% 83.73/53.40 tff(30316,plain,
% 83.73/53.40 (v121(constB173)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30123, 956, 30315, 30309, 30303])).
% 83.73/53.40 tff(30317,assumption,(~v90(constB174, 1)), introduced(assumption)).
% 83.73/53.40 tff(30318,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30319,plain,
% 83.73/53.40 (((~nextState(constB173, constB174)) | (~v90(constB173, 1)) | v100(constB174) | v90(constB174, 1)) <=> ((~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30320,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, 1)) | v100(constB174) | v90(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1)))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30319])).
% 83.73/53.40 tff(30321,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, 1)) | v100(constB174) | v90(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30320, 30318])).
% 83.73/53.40 tff(30322,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v90(constB173, 1)) | v100(constB174) | v90(constB174, 1))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30323,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB173, 1)) | (~nextState(constB173, constB174)) | v100(constB174) | v90(constB174, 1)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30322, 30321])).
% 83.73/53.40 tff(30324,plain,
% 83.73/53.40 ((~v90(constB173, 1)) | v100(constB174) | v90(constB174, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30323, 866, 30172])).
% 83.73/53.40 tff(30325,plain,
% 83.73/53.40 (v100(constB174)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30324, 30309, 30317])).
% 83.73/53.40 tff(30326,plain,
% 83.73/53.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30327,plain,
% 83.73/53.40 ((v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1))) <=> (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30328,plain,
% 83.73/53.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30327])).
% 83.73/53.40 tff(30329,plain,
% 83.73/53.40 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30328, 30326])).
% 83.73/53.40 tff(30330,plain,
% 83.73/53.40 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30331,plain,
% 83.73/53.40 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 83.73/53.40 tff(30332,plain,
% 83.73/53.40 ((~v129(constB174, 1)) | (~v100(constB174))),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30331, 848, 30317])).
% 83.73/53.40 tff(30333,plain,
% 83.73/53.40 (~v129(constB174, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30332, 30325])).
% 83.73/53.40 tff(30334,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30335,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30336,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30335, 30334])).
% 83.73/53.40 tff(30337,plain,
% 83.73/53.40 ((~v127(constB173, 1)) | v129(constB174, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30336, 833, 30172])).
% 83.73/53.40 tff(30338,plain,
% 83.73/53.40 (~v127(constB173, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30337, 30333])).
% 83.73/53.40 tff(30339,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30340,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30341,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30340, 30339])).
% 83.73/53.40 tff(30342,plain,
% 83.73/53.40 ((~v130(constB173, 1)) | v127(constB173, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30341, 818, 30157])).
% 83.73/53.40 tff(30343,plain,
% 83.73/53.40 (~v130(constB173, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30342, 30338])).
% 83.73/53.40 tff(30344,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30345,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30346,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30345, 30344])).
% 83.73/53.40 tff(30347,plain,
% 83.73/53.40 ($false),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30346, 1108, 30343, 30316])).
% 83.73/53.40 tff(30348,plain,((~v120(constB171)) | v90(constB174, 1)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.40 tff(30349,plain,
% 83.73/53.40 (v90(constB174, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30348, 29911])).
% 83.73/53.40 tff(30350,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30351,plain,
% 83.73/53.40 (((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)) <=> ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30352,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30351])).
% 83.73/53.40 tff(30353,plain,
% 83.73/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30352, 30350])).
% 83.73/53.40 tff(30354,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30355,plain,
% 83.73/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 83.73/53.40 tff(30356,plain,
% 83.73/53.40 ((~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30355, 866, 30234])).
% 83.73/53.40 tff(30357,plain,
% 83.73/53.40 ((~v90(constB174, 1)) | v90(constB175, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30356, 30246])).
% 83.73/53.40 tff(30358,plain,
% 83.73/53.40 (v90(constB175, 1)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30357, 30349])).
% 83.73/53.40 tff(30359,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30360,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30361,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30360, 30359])).
% 83.73/53.40 tff(30362,plain,
% 83.73/53.40 ((~v90(constB175, 0)) | v90(constB175, 2) | v122(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30361, 1187, 30358])).
% 83.73/53.40 tff(30363,plain,
% 83.73/53.40 (v122(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30362, 30286, 30255])).
% 83.73/53.40 tff(30364,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30365,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30366,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB175)) | v116(constB175)),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30365, 30364])).
% 83.73/53.40 tff(30367,plain,
% 83.73/53.40 (v116(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30366, 1257, 30363])).
% 83.73/53.40 tff(30368,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30369,plain,
% 83.73/53.40 (((~v116(constB175)) | v115(constB175)) <=> (v115(constB175) | (~v116(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30370,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175))))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30369])).
% 83.73/53.40 tff(30371,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30370, 30368])).
% 83.73/53.40 tff(30372,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30373,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175))),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 83.73/53.40 tff(30374,plain,
% 83.73/53.40 (v115(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30373, 214, 30367])).
% 83.73/53.40 tff(30375,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30376,plain,
% 83.73/53.40 (((~v115(constB175)) | v114(constB175)) <=> (v114(constB175) | (~v115(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30377,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175))))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30376])).
% 83.73/53.40 tff(30378,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30377, 30375])).
% 83.73/53.40 tff(30379,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30380,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175))),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30379, 30378])).
% 83.73/53.40 tff(30381,plain,
% 83.73/53.40 (v114(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30380, 228, 30374])).
% 83.73/53.40 tff(30382,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30383,plain,
% 83.73/53.40 (((~v114(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v114(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30384,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175))))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30383])).
% 83.73/53.40 tff(30385,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30384, 30382])).
% 83.73/53.40 tff(30386,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30387,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175))),
% 83.73/53.40 inference(modus_ponens,[status(thm)],[30386, 30385])).
% 83.73/53.40 tff(30388,plain,
% 83.73/53.40 (v113(constB175)),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30387, 242, 30381])).
% 83.73/53.40 tff(30389,assumption,(v26(constB175)), introduced(assumption)).
% 83.73/53.40 tff(30390,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.73/53.40 tff(30391,plain,
% 83.73/53.40 ($false),
% 83.73/53.40 inference(unit_resolution,[status(thm)],[30390, 19, 30389])).
% 83.73/53.40 tff(30392,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 83.73/53.40 tff(30393,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30394,plain,
% 83.73/53.40 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 83.73/53.40 inference(rewrite,[status(thm)],[])).
% 83.73/53.40 tff(30395,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 83.73/53.40 inference(monotonicity,[status(thm)],[30394])).
% 83.73/53.40 tff(30396,plain,
% 83.73/53.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 83.73/53.40 inference(transitivity,[status(thm)],[30395, 30393])).
% 83.73/53.40 tff(30397,plain,
% 83.73/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 83.73/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30398,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 83.83/53.40 tff(30399,plain,
% 83.83/53.40 (v112(constB175) | (~v113(constB175))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30398, 256, 30392])).
% 83.83/53.40 tff(30400,plain,
% 83.83/53.40 (v112(constB175)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30399, 30388])).
% 83.83/53.40 tff(30401,plain,
% 83.83/53.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30402,plain,
% 83.83/53.40 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30403,plain,
% 83.83/53.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 83.83/53.40 inference(monotonicity,[status(thm)],[30402])).
% 83.83/53.40 tff(30404,plain,
% 83.83/53.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 83.83/53.40 inference(transitivity,[status(thm)],[30403, 30401])).
% 83.83/53.40 tff(30405,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30406,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 83.83/53.40 tff(30407,plain,
% 83.83/53.40 (v108(constB175)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30406, 268, 30400])).
% 83.83/53.40 tff(30408,plain,
% 83.83/53.40 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30409,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 83.83/53.40 tff(30410,plain,
% 83.83/53.40 (nextState(constB175, constB176)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30409, 30408])).
% 83.83/53.40 tff(30411,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30412,plain,
% 83.83/53.40 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30413,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 83.83/53.40 inference(monotonicity,[status(thm)],[30412])).
% 83.83/53.40 tff(30414,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 83.83/53.40 inference(transitivity,[status(thm)],[30413, 30411])).
% 83.83/53.40 tff(30415,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30416,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 83.83/53.40 tff(30417,plain,
% 83.83/53.40 (v110(constB176) | (~v108(constB175))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30416, 288, 30410])).
% 83.83/53.40 tff(30418,plain,
% 83.83/53.40 (v110(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30417, 30407])).
% 83.83/53.40 tff(30419,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30420,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30421,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30420, 30419])).
% 83.83/53.40 tff(30422,plain,
% 83.83/53.40 (~v104(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30421, 306, 30410, 30231])).
% 83.83/53.40 tff(30423,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30424,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30425,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 83.83/53.40 tff(30426,plain,
% 83.83/53.40 (v102(constB176) | v104(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30425, 320, 30410])).
% 83.83/53.40 tff(30427,plain,
% 83.83/53.40 (v102(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30426, 30422])).
% 83.83/53.40 tff(30428,plain,
% 83.83/53.40 (v1(constB176) <=> v1(constB176)),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30429,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 83.83/53.40 tff(30430,plain,
% 83.83/53.40 (v1(constB176)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 83.83/53.40 tff(30431,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30432,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30433,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30432, 30431])).
% 83.83/53.40 tff(30434,plain,
% 83.83/53.40 (v101(constB176) | (~v102(constB176))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30433, 338, 30410, 30430])).
% 83.83/53.40 tff(30435,plain,
% 83.83/53.40 (v101(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30434, 30427])).
% 83.83/53.40 tff(30436,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30437,plain,
% 83.83/53.40 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30438,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 83.83/53.40 inference(monotonicity,[status(thm)],[30437])).
% 83.83/53.40 tff(30439,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 83.83/53.40 inference(transitivity,[status(thm)],[30438, 30436])).
% 83.83/53.40 tff(30440,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30441,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30440, 30439])).
% 83.83/53.40 tff(30442,plain,
% 83.83/53.40 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30441, 353, 30410])).
% 83.83/53.40 tff(30443,plain,
% 83.83/53.40 (v100(constB176) | (~v110(constB176))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30442, 30435])).
% 83.83/53.40 tff(30444,plain,
% 83.83/53.40 (v100(constB176)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30443, 30418])).
% 83.83/53.40 tff(30445,plain,
% 83.83/53.40 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30446,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30447,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 83.83/53.40 tff(30448,plain,
% 83.83/53.40 (v130(constB175, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30447, 1198, 30363])).
% 83.83/53.40 tff(30449,plain,
% 83.83/53.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30450,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30451,plain,
% 83.83/53.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30450, 30449])).
% 83.83/53.40 tff(30452,plain,
% 83.83/53.40 ((~v130(constB175, 2)) | v127(constB175, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30451, 1212, 30392])).
% 83.83/53.40 tff(30453,plain,
% 83.83/53.40 (v127(constB175, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30452, 30448])).
% 83.83/53.40 tff(30454,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30455,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30456,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30455, 30454])).
% 83.83/53.40 tff(30457,plain,
% 83.83/53.40 ((~v127(constB175, 2)) | v129(constB176, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30456, 1230, 30410])).
% 83.83/53.40 tff(30458,plain,
% 83.83/53.40 (v129(constB176, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30457, 30453])).
% 83.83/53.40 tff(30459,plain,
% 83.83/53.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30460,plain,
% 83.83/53.40 ((v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2))) <=> (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30461,plain,
% 83.83/53.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))))),
% 83.83/53.40 inference(monotonicity,[status(thm)],[30460])).
% 83.83/53.40 tff(30462,plain,
% 83.83/53.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 83.83/53.40 inference(transitivity,[status(thm)],[30461, 30459])).
% 83.83/53.40 tff(30463,plain,
% 83.83/53.40 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30464,plain,
% 83.83/53.40 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30463, 30462])).
% 83.83/53.40 tff(30465,plain,
% 83.83/53.40 (v90(constB176, 2) | (~v100(constB176))),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30464, 1338, 30458])).
% 83.83/53.40 tff(30466,plain,
% 83.83/53.40 (v90(constB176, 2)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30465, 30444])).
% 83.83/53.40 tff(30467,plain,
% 83.83/53.40 ((~v1(constB177)) <=> (~v1(constB177))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30468,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 83.83/53.40 tff(30469,plain,
% 83.83/53.40 (~v1(constB177)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30468, 30467])).
% 83.83/53.40 tff(30470,plain,
% 83.83/53.40 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30471,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 83.83/53.40 tff(30472,plain,
% 83.83/53.40 (nextState(constB176, constB177)),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 83.83/53.40 tff(30473,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30474,plain,
% 83.83/53.40 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30475,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 83.83/53.40 inference(monotonicity,[status(thm)],[30474])).
% 83.83/53.40 tff(30476,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 83.83/53.40 inference(transitivity,[status(thm)],[30475, 30473])).
% 83.83/53.40 tff(30477,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.40 tff(30478,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 83.83/53.40 inference(modus_ponens,[status(thm)],[30477, 30476])).
% 83.83/53.40 tff(30479,plain,
% 83.83/53.40 (~v101(constB177)),
% 83.83/53.40 inference(unit_resolution,[status(thm)],[30478, 66, 30472, 30469])).
% 83.83/53.40 tff(30480,plain,
% 83.83/53.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 83.83/53.40 inference(rewrite,[status(thm)],[])).
% 83.83/53.40 tff(30481,plain,
% 83.83/53.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 83.83/53.40 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30482,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 83.83/53.41 tff(30483,plain,
% 83.83/53.41 (v101(constB177) | (~v100(constB177))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30482, 83, 30472])).
% 83.83/53.41 tff(30484,plain,
% 83.83/53.41 (~v100(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30483, 30479])).
% 83.83/53.41 tff(30485,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30486,plain,
% 83.83/53.41 (((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)) <=> ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30487,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30486])).
% 83.83/53.41 tff(30488,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30487, 30485])).
% 83.83/53.41 tff(30489,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30490,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 83.83/53.41 tff(30491,plain,
% 83.83/53.41 ((~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30490, 1374, 30472])).
% 83.83/53.41 tff(30492,plain,
% 83.83/53.41 ((~v90(constB176, 2)) | v90(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30491, 30484])).
% 83.83/53.41 tff(30493,plain,
% 83.83/53.41 (v90(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30492, 30466])).
% 83.83/53.41 tff(30494,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30495,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30496,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 83.83/53.41 tff(30497,plain,
% 83.83/53.41 (~v130(constB175, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30496, 1390, 30363])).
% 83.83/53.41 tff(30498,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30499,plain,
% 83.83/53.41 ((v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1))) <=> ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30500,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30499])).
% 83.83/53.41 tff(30501,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30500, 30498])).
% 83.83/53.41 tff(30502,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30503,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30502, 30501])).
% 83.83/53.41 tff(30504,plain,
% 83.83/53.41 ((~v127(constB175, 1)) | v130(constB175, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30503, 383, 30392])).
% 83.83/53.41 tff(30505,plain,
% 83.83/53.41 (~v127(constB175, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30504, 30497])).
% 83.83/53.41 tff(30506,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30507,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30508,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 83.83/53.41 tff(30509,plain,
% 83.83/53.41 (v127(constB175, 1) | (~v129(constB176, 1))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30508, 401, 30410])).
% 83.83/53.41 tff(30510,plain,
% 83.83/53.41 (~v129(constB176, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30509, 30505])).
% 83.83/53.41 tff(30511,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30512,plain,
% 83.83/53.41 (((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1)) <=> ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30513,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30512])).
% 83.83/53.41 tff(30514,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30513, 30511])).
% 83.83/53.41 tff(30515,plain,
% 83.83/53.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30516,plain,
% 83.83/53.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30515, 30514])).
% 83.83/53.41 tff(30517,plain,
% 83.83/53.41 ((~v90(constB176, 1)) | (~v100(constB176))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30516, 416, 30510])).
% 83.83/53.41 tff(30518,plain,
% 83.83/53.41 (~v90(constB176, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30517, 30444])).
% 83.83/53.41 tff(30519,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30520,plain,
% 83.83/53.41 (((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))) <=> (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30521,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30520])).
% 83.83/53.41 tff(30522,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30521, 30519])).
% 83.83/53.41 tff(30523,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30524,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 83.83/53.41 tff(30525,plain,
% 83.83/53.41 (v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30524, 119, 30472])).
% 83.83/53.41 tff(30526,plain,
% 83.83/53.41 (v90(constB176, 1) | (~v90(constB177, 1))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30525, 30484])).
% 83.83/53.41 tff(30527,plain,
% 83.83/53.41 (~v90(constB177, 1)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30526, 30518])).
% 83.83/53.41 tff(30528,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30529,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30530,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 83.83/53.41 tff(30531,plain,
% 83.83/53.41 (~v130(constB175, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30530, 1431, 30363])).
% 83.83/53.41 tff(30532,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30533,plain,
% 83.83/53.41 ((v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0))) <=> ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30534,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30533])).
% 83.83/53.41 tff(30535,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30534, 30532])).
% 83.83/53.41 tff(30536,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30537,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30536, 30535])).
% 83.83/53.41 tff(30538,plain,
% 83.83/53.41 ((~v127(constB175, 0)) | v130(constB175, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30537, 896, 30392])).
% 83.83/53.41 tff(30539,plain,
% 83.83/53.41 (~v127(constB175, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30538, 30531])).
% 83.83/53.41 tff(30540,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30541,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30542,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 83.83/53.41 tff(30543,plain,
% 83.83/53.41 (v127(constB175, 0) | (~v129(constB176, 0))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30542, 914, 30410])).
% 83.83/53.41 tff(30544,plain,
% 83.83/53.41 (~v129(constB176, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30543, 30539])).
% 83.83/53.41 tff(30545,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30546,plain,
% 83.83/53.41 (((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0)) <=> ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30547,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30546])).
% 83.83/53.41 tff(30548,plain,
% 83.83/53.41 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30547, 30545])).
% 83.83/53.41 tff(30549,plain,
% 83.83/53.41 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30550,plain,
% 83.83/53.41 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 83.83/53.41 tff(30551,plain,
% 83.83/53.41 ((~v90(constB176, 0)) | (~v100(constB176))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30550, 929, 30544])).
% 83.83/53.41 tff(30552,plain,
% 83.83/53.41 (~v90(constB176, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30551, 30444])).
% 83.83/53.41 tff(30553,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30554,plain,
% 83.83/53.41 (((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))) <=> (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30555,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30554])).
% 83.83/53.41 tff(30556,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30555, 30553])).
% 83.83/53.41 tff(30557,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30558,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30557, 30556])).
% 83.83/53.41 tff(30559,plain,
% 83.83/53.41 (v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30558, 140, 30472])).
% 83.83/53.41 tff(30560,plain,
% 83.83/53.41 (v90(constB176, 0) | (~v90(constB177, 0))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30559, 30484])).
% 83.83/53.41 tff(30561,plain,
% 83.83/53.41 (~v90(constB177, 0)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30560, 30552])).
% 83.83/53.41 tff(30562,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30563,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30564,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 83.83/53.41 tff(30565,plain,
% 83.83/53.41 (v123(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30564, 1475, 30561, 30527, 30493])).
% 83.83/53.41 tff(30566,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v123(constB177)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30567,plain,
% 83.83/53.41 (((~v123(constB177)) | v115(constB177)) <=> (v115(constB177) | (~v123(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30568,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB177) | (~v123(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30567])).
% 83.83/53.41 tff(30569,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30568, 30566])).
% 83.83/53.41 tff(30570,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30571,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB177) | (~v123(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30570, 30569])).
% 83.83/53.41 tff(30572,plain,
% 83.83/53.41 (v115(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30571, 1486, 30565])).
% 83.83/53.41 tff(30573,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30574,plain,
% 83.83/53.41 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30575,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30574])).
% 83.83/53.41 tff(30576,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30575, 30573])).
% 83.83/53.41 tff(30577,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30578,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30577, 30576])).
% 83.83/53.41 tff(30579,plain,
% 83.83/53.41 (v114(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30578, 228, 30572])).
% 83.83/53.41 tff(30580,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30581,plain,
% 83.83/53.41 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30582,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30581])).
% 83.83/53.41 tff(30583,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30582, 30580])).
% 83.83/53.41 tff(30584,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30585,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 83.83/53.41 tff(30586,plain,
% 83.83/53.41 (v113(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30585, 242, 30579])).
% 83.83/53.41 tff(30587,assumption,(~v108(constB177)), introduced(assumption)).
% 83.83/53.41 tff(30588,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30589,plain,
% 83.83/53.41 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30590,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30589])).
% 83.83/53.41 tff(30591,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30590, 30588])).
% 83.83/53.41 tff(30592,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30593,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 83.83/53.41 tff(30594,plain,
% 83.83/53.41 (~v112(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30593, 268, 30587])).
% 83.83/53.41 tff(30595,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v26(constB177)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30596,plain,
% 83.83/53.41 (((~v26(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v26(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30597,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v26(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30596])).
% 83.83/53.41 tff(30598,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30597, 30595])).
% 83.83/53.41 tff(30599,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB177)) | v108(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30600,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v26(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30599, 30598])).
% 83.83/53.41 tff(30601,plain,
% 83.83/53.41 (~v26(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30600, 685, 30587])).
% 83.83/53.41 tff(30602,assumption,(v113(constB177)), introduced(assumption)).
% 83.83/53.41 tff(30603,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30604,plain,
% 83.83/53.41 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30605,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30604])).
% 83.83/53.41 tff(30606,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30605, 30603])).
% 83.83/53.41 tff(30607,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30608,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 83.83/53.41 tff(30609,plain,
% 83.83/53.41 (v26(constB177) | v112(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30608, 256, 30602])).
% 83.83/53.41 tff(30610,plain,
% 83.83/53.41 ($false),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30609, 30601, 30594])).
% 83.83/53.41 tff(30611,plain,(v108(constB177) | (~v113(constB177))), inference(lemma,lemma(discharge,[]))).
% 83.83/53.41 tff(30612,plain,
% 83.83/53.41 (v108(constB177)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30611, 30586])).
% 83.83/53.41 tff(30613,plain,
% 83.83/53.41 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30614,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 83.83/53.41 tff(30615,plain,
% 83.83/53.41 (nextState(constB177, constB178)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 83.83/53.41 tff(30616,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30617,plain,
% 83.83/53.41 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30618,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30617])).
% 83.83/53.41 tff(30619,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30618, 30616])).
% 83.83/53.41 tff(30620,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30621,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30620, 30619])).
% 83.83/53.41 tff(30622,plain,
% 83.83/53.41 (v110(constB178) | (~v108(constB177))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30621, 288, 30615])).
% 83.83/53.41 tff(30623,plain,
% 83.83/53.41 (v110(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30622, 30612])).
% 83.83/53.41 tff(30624,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30625,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30626,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30625, 30624])).
% 83.83/53.41 tff(30627,plain,
% 83.83/53.41 (~v104(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30626, 306, 30615, 30469])).
% 83.83/53.41 tff(30628,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30629,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30630,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30629, 30628])).
% 83.83/53.41 tff(30631,plain,
% 83.83/53.41 (v102(constB178) | v104(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30630, 320, 30615])).
% 83.83/53.41 tff(30632,plain,
% 83.83/53.41 (v102(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30631, 30627])).
% 83.83/53.41 tff(30633,plain,
% 83.83/53.41 (v1(constB178) <=> v1(constB178)),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30634,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 83.83/53.41 tff(30635,plain,
% 83.83/53.41 (v1(constB178)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30634, 30633])).
% 83.83/53.41 tff(30636,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30637,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30638,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30637, 30636])).
% 83.83/53.41 tff(30639,plain,
% 83.83/53.41 (v101(constB178) | (~v102(constB178))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30638, 338, 30615, 30635])).
% 83.83/53.41 tff(30640,plain,
% 83.83/53.41 (v101(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30639, 30632])).
% 83.83/53.41 tff(30641,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30642,plain,
% 83.83/53.41 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30643,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 83.83/53.41 inference(monotonicity,[status(thm)],[30642])).
% 83.83/53.41 tff(30644,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 83.83/53.41 inference(transitivity,[status(thm)],[30643, 30641])).
% 83.83/53.41 tff(30645,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30646,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 83.83/53.41 tff(30647,plain,
% 83.83/53.41 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30646, 353, 30615])).
% 83.83/53.41 tff(30648,plain,
% 83.83/53.41 (v100(constB178) | (~v110(constB178))),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30647, 30640])).
% 83.83/53.41 tff(30649,plain,
% 83.83/53.41 (v100(constB178)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30648, 30623])).
% 83.83/53.41 tff(30650,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30651,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30652,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30651, 30650])).
% 83.83/53.41 tff(30653,plain,
% 83.83/53.41 (v130(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30652, 1567, 30565])).
% 83.83/53.41 tff(30654,assumption,(v26(constB177)), introduced(assumption)).
% 83.83/53.41 tff(30655,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30656,plain,
% 83.83/53.41 ($false),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30655, 19, 30654])).
% 83.83/53.41 tff(30657,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.41 tff(30658,plain,
% 83.83/53.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30659,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30660,plain,
% 83.83/53.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2)),
% 83.83/53.41 inference(modus_ponens,[status(thm)],[30659, 30658])).
% 83.83/53.41 tff(30661,plain,
% 83.83/53.41 ((~v130(constB177, 2)) | v127(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30660, 1212, 30657])).
% 83.83/53.41 tff(30662,plain,
% 83.83/53.41 (v127(constB177, 2)),
% 83.83/53.41 inference(unit_resolution,[status(thm)],[30661, 30653])).
% 83.83/53.41 tff(30663,plain,
% 83.83/53.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 83.83/53.41 inference(rewrite,[status(thm)],[])).
% 83.83/53.41 tff(30664,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 83.83/53.41 inference(quant_inst,[status(thm)],[])).
% 83.83/53.41 tff(30665,plain,
% 83.83/53.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30664, 30663])).
% 83.83/53.42 tff(30666,plain,
% 83.83/53.42 ((~v127(constB177, 2)) | v129(constB178, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30665, 1230, 30615])).
% 83.83/53.42 tff(30667,plain,
% 83.83/53.42 (v129(constB178, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30666, 30662])).
% 83.83/53.42 tff(30668,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30669,plain,
% 83.83/53.42 ((v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2))) <=> (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30670,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30669])).
% 83.83/53.42 tff(30671,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30670, 30668])).
% 83.83/53.42 tff(30672,plain,
% 83.83/53.42 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30673,plain,
% 83.83/53.42 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30672, 30671])).
% 83.83/53.42 tff(30674,plain,
% 83.83/53.42 (v90(constB178, 2) | (~v100(constB178))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30673, 1338, 30667])).
% 83.83/53.42 tff(30675,plain,
% 83.83/53.42 (v90(constB178, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30674, 30649])).
% 83.83/53.42 tff(30676,plain,
% 83.83/53.42 ((~v1(constB179)) <=> (~v1(constB179))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30677,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 83.83/53.42 tff(30678,plain,
% 83.83/53.42 (~v1(constB179)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 83.83/53.42 tff(30679,plain,
% 83.83/53.42 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30680,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 83.83/53.42 tff(30681,plain,
% 83.83/53.42 (nextState(constB178, constB179)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30680, 30679])).
% 83.83/53.42 tff(30682,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30683,plain,
% 83.83/53.42 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30684,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30683])).
% 83.83/53.42 tff(30685,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30684, 30682])).
% 83.83/53.42 tff(30686,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30687,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30686, 30685])).
% 83.83/53.42 tff(30688,plain,
% 83.83/53.42 (~v101(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30687, 66, 30681, 30678])).
% 83.83/53.42 tff(30689,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30690,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30691,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30690, 30689])).
% 83.83/53.42 tff(30692,plain,
% 83.83/53.42 (v101(constB179) | (~v100(constB179))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30691, 83, 30681])).
% 83.83/53.42 tff(30693,plain,
% 83.83/53.42 (~v100(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30692, 30688])).
% 83.83/53.42 tff(30694,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30695,plain,
% 83.83/53.42 (((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)) <=> ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30696,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30695])).
% 83.83/53.42 tff(30697,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30696, 30694])).
% 83.83/53.42 tff(30698,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30699,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB178, 2)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 2)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30698, 30697])).
% 83.83/53.42 tff(30700,plain,
% 83.83/53.42 ((~v90(constB178, 2)) | v100(constB179) | v90(constB179, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30699, 1374, 30681])).
% 83.83/53.42 tff(30701,plain,
% 83.83/53.42 ((~v90(constB178, 2)) | v90(constB179, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30700, 30693])).
% 83.83/53.42 tff(30702,plain,
% 83.83/53.42 (v90(constB179, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30701, 30675])).
% 83.83/53.42 tff(30703,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30704,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB177)) | (~v130(constB177, 1)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30705,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB177)) | (~v130(constB177, 1))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 83.83/53.42 tff(30706,plain,
% 83.83/53.42 (~v130(constB177, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30705, 1623, 30565])).
% 83.83/53.42 tff(30707,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30708,plain,
% 83.83/53.42 ((v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1))) <=> ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30709,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30708])).
% 83.83/53.42 tff(30710,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30709, 30707])).
% 83.83/53.42 tff(30711,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB177) | v130(constB177, 1) | (~v127(constB177, 1)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30712,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB177, 1)) | v26(constB177) | v130(constB177, 1)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30711, 30710])).
% 83.83/53.42 tff(30713,plain,
% 83.83/53.42 ((~v127(constB177, 1)) | v130(constB177, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30712, 383, 30657])).
% 83.83/53.42 tff(30714,plain,
% 83.83/53.42 (~v127(constB177, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30713, 30706])).
% 83.83/53.42 tff(30715,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30716,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30717,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB177, constB178)) | v127(constB177, 1) | (~v129(constB178, 1))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 83.83/53.42 tff(30718,plain,
% 83.83/53.42 (v127(constB177, 1) | (~v129(constB178, 1))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30717, 401, 30615])).
% 83.83/53.42 tff(30719,plain,
% 83.83/53.42 (~v129(constB178, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30718, 30714])).
% 83.83/53.42 tff(30720,plain,
% 83.83/53.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30721,plain,
% 83.83/53.42 (((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1)) <=> ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30722,plain,
% 83.83/53.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30721])).
% 83.83/53.42 tff(30723,plain,
% 83.83/53.42 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30722, 30720])).
% 83.83/53.42 tff(30724,plain,
% 83.83/53.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB178, 1)) | (~v100(constB178)) | v129(constB178, 1))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30725,plain,
% 83.83/53.42 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB178, 1)) | v129(constB178, 1) | (~v100(constB178))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30724, 30723])).
% 83.83/53.42 tff(30726,plain,
% 83.83/53.42 ((~v90(constB178, 1)) | (~v100(constB178))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30725, 416, 30719])).
% 83.83/53.42 tff(30727,plain,
% 83.83/53.42 (~v90(constB178, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30726, 30649])).
% 83.83/53.42 tff(30728,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30729,plain,
% 83.83/53.42 (((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))) <=> (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30730,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30729])).
% 83.83/53.42 tff(30731,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30730, 30728])).
% 83.83/53.42 tff(30732,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB178, constB179)) | v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30733,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB178, 1) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, 1))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30732, 30731])).
% 83.83/53.42 tff(30734,plain,
% 83.83/53.42 (v90(constB178, 1) | v100(constB179) | (~v90(constB179, 1))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30733, 119, 30681])).
% 83.83/53.42 tff(30735,plain,
% 83.83/53.42 (v90(constB178, 1) | (~v90(constB179, 1))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30734, 30693])).
% 83.83/53.42 tff(30736,plain,
% 83.83/53.42 (~v90(constB179, 1)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30735, 30727])).
% 83.83/53.42 tff(30737,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30738,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB177)) | v130(constB177, 0))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30739,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB177)) | v130(constB177, 0)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30738, 30737])).
% 83.83/53.42 tff(30740,plain,
% 83.83/53.42 (v130(constB177, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30739, 1664, 30565])).
% 83.83/53.42 tff(30741,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30742,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30743,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB177) | (~v130(constB177, 0)) | v127(constB177, 0)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30742, 30741])).
% 83.83/53.42 tff(30744,plain,
% 83.83/53.42 ((~v130(constB177, 0)) | v127(constB177, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30743, 478, 30657])).
% 83.83/53.42 tff(30745,plain,
% 83.83/53.42 (v127(constB177, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30744, 30740])).
% 83.83/53.42 tff(30746,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30747,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30748,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB177, constB178)) | (~v127(constB177, 0)) | v129(constB178, 0)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30747, 30746])).
% 83.83/53.42 tff(30749,plain,
% 83.83/53.42 ((~v127(constB177, 0)) | v129(constB178, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30748, 493, 30615])).
% 83.83/53.42 tff(30750,plain,
% 83.83/53.42 (v129(constB178, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30749, 30745])).
% 83.83/53.42 tff(30751,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30752,plain,
% 83.83/53.42 ((v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0))) <=> (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30753,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30752])).
% 83.83/53.42 tff(30754,plain,
% 83.83/53.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30753, 30751])).
% 83.83/53.42 tff(30755,plain,
% 83.83/53.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB178, 0) | (~v100(constB178)) | (~v129(constB178, 0)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30756,plain,
% 83.83/53.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB178, 0) | (~v129(constB178, 0)) | (~v100(constB178))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30755, 30754])).
% 83.83/53.42 tff(30757,plain,
% 83.83/53.42 (v90(constB178, 0) | (~v100(constB178))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30756, 508, 30750])).
% 83.83/53.42 tff(30758,plain,
% 83.83/53.42 (v90(constB178, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30757, 30649])).
% 83.83/53.42 tff(30759,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30760,plain,
% 83.83/53.42 (((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)) <=> ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30761,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30760])).
% 83.83/53.42 tff(30762,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30761, 30759])).
% 83.83/53.42 tff(30763,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB178, constB179)) | (~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30764,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB178, 0)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, 0)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30763, 30762])).
% 83.83/53.42 tff(30765,plain,
% 83.83/53.42 ((~v90(constB178, 0)) | v100(constB179) | v90(constB179, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30764, 526, 30681])).
% 83.83/53.42 tff(30766,plain,
% 83.83/53.42 ((~v90(constB178, 0)) | v90(constB179, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30765, 30693])).
% 83.83/53.42 tff(30767,plain,
% 83.83/53.42 (v90(constB179, 0)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30766, 30758])).
% 83.83/53.42 tff(30768,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30769,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30770,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB179, 0)) | v90(constB179, 1) | (~v90(constB179, 2)) | v124(constB179)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 83.83/53.42 tff(30771,plain,
% 83.83/53.42 (v124(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30770, 1705, 30767, 30736, 30702])).
% 83.83/53.42 tff(30772,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30773,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB179)) | v114(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30774,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB179)) | v114(constB179)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30773, 30772])).
% 83.83/53.42 tff(30775,plain,
% 83.83/53.42 (v114(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30774, 1741, 30771])).
% 83.83/53.42 tff(30776,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30777,plain,
% 83.83/53.42 (((~v114(constB179)) | v113(constB179)) <=> (v113(constB179) | (~v114(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30778,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB179) | (~v114(constB179))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30777])).
% 83.83/53.42 tff(30779,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30778, 30776])).
% 83.83/53.42 tff(30780,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB179)) | v113(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30781,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB179) | (~v114(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30780, 30779])).
% 83.83/53.42 tff(30782,plain,
% 83.83/53.42 (v113(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30781, 242, 30775])).
% 83.83/53.42 tff(30783,assumption,(v26(constB179)), introduced(assumption)).
% 83.83/53.42 tff(30784,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30785,plain,
% 83.83/53.42 ($false),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30784, 19, 30783])).
% 83.83/53.42 tff(30786,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.42 tff(30787,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30788,plain,
% 83.83/53.42 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30789,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | v112(constB179) | (~v113(constB179))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30788])).
% 83.83/53.42 tff(30790,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30789, 30787])).
% 83.83/53.42 tff(30791,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30792,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30791, 30790])).
% 83.83/53.42 tff(30793,plain,
% 83.83/53.42 (v112(constB179) | (~v113(constB179))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30792, 256, 30786])).
% 83.83/53.42 tff(30794,plain,
% 83.83/53.42 (v112(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30793, 30782])).
% 83.83/53.42 tff(30795,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30796,plain,
% 83.83/53.42 (((~v112(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v112(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30797,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v112(constB179))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30796])).
% 83.83/53.42 tff(30798,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30797, 30795])).
% 83.83/53.42 tff(30799,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB179)) | v108(constB179))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30800,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v112(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30799, 30798])).
% 83.83/53.42 tff(30801,plain,
% 83.83/53.42 (v108(constB179)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30800, 268, 30794])).
% 83.83/53.42 tff(30802,plain,
% 83.83/53.42 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30803,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 83.83/53.42 tff(30804,plain,
% 83.83/53.42 (nextState(constB179, constB180)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30803, 30802])).
% 83.83/53.42 tff(30805,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30806,plain,
% 83.83/53.42 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30807,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30806])).
% 83.83/53.42 tff(30808,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30807, 30805])).
% 83.83/53.42 tff(30809,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30810,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30809, 30808])).
% 83.83/53.42 tff(30811,plain,
% 83.83/53.42 (v110(constB180) | (~v108(constB179))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30810, 288, 30804])).
% 83.83/53.42 tff(30812,plain,
% 83.83/53.42 (v110(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30811, 30801])).
% 83.83/53.42 tff(30813,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30814,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30815,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30814, 30813])).
% 83.83/53.42 tff(30816,plain,
% 83.83/53.42 (~v104(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30815, 306, 30804, 30678])).
% 83.83/53.42 tff(30817,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30818,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30819,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30818, 30817])).
% 83.83/53.42 tff(30820,plain,
% 83.83/53.42 (v102(constB180) | v104(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30819, 320, 30804])).
% 83.83/53.42 tff(30821,plain,
% 83.83/53.42 (v102(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30820, 30816])).
% 83.83/53.42 tff(30822,plain,
% 83.83/53.42 (v1(constB180) <=> v1(constB180)),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30823,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 83.83/53.42 tff(30824,plain,
% 83.83/53.42 (v1(constB180)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 83.83/53.42 tff(30825,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30826,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30827,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 83.83/53.42 tff(30828,plain,
% 83.83/53.42 (v101(constB180) | (~v102(constB180))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30827, 338, 30804, 30824])).
% 83.83/53.42 tff(30829,plain,
% 83.83/53.42 (v101(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30828, 30821])).
% 83.83/53.42 tff(30830,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30831,plain,
% 83.83/53.42 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30832,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))))),
% 83.83/53.42 inference(monotonicity,[status(thm)],[30831])).
% 83.83/53.42 tff(30833,plain,
% 83.83/53.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 83.83/53.42 inference(transitivity,[status(thm)],[30832, 30830])).
% 83.83/53.42 tff(30834,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30835,plain,
% 83.83/53.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30834, 30833])).
% 83.83/53.42 tff(30836,plain,
% 83.83/53.42 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30835, 353, 30804])).
% 83.83/53.42 tff(30837,plain,
% 83.83/53.42 (v100(constB180) | (~v110(constB180))),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30836, 30829])).
% 83.83/53.42 tff(30838,plain,
% 83.83/53.42 (v100(constB180)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30837, 30812])).
% 83.83/53.42 tff(30839,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30840,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB179)) | v130(constB179, 2))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30841,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB179)) | v130(constB179, 2)),
% 83.83/53.42 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 83.83/53.42 tff(30842,plain,
% 83.83/53.42 (v130(constB179, 2)),
% 83.83/53.42 inference(unit_resolution,[status(thm)],[30841, 1716, 30771])).
% 83.83/53.42 tff(30843,plain,
% 83.83/53.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 83.83/53.42 inference(rewrite,[status(thm)],[])).
% 83.83/53.42 tff(30844,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2))),
% 83.83/53.42 inference(quant_inst,[status(thm)],[])).
% 83.83/53.42 tff(30845,plain,
% 83.83/53.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB179) | (~v130(constB179, 2)) | v127(constB179, 2)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 83.83/53.43 tff(30846,plain,
% 83.83/53.43 ((~v130(constB179, 2)) | v127(constB179, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30845, 1212, 30786])).
% 83.83/53.43 tff(30847,plain,
% 83.83/53.43 (v127(constB179, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30846, 30842])).
% 83.83/53.43 tff(30848,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30849,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30850,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB179, constB180)) | (~v127(constB179, 2)) | v129(constB180, 2)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30849, 30848])).
% 83.83/53.43 tff(30851,plain,
% 83.83/53.43 ((~v127(constB179, 2)) | v129(constB180, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30850, 1230, 30804])).
% 83.83/53.43 tff(30852,plain,
% 83.83/53.43 (v129(constB180, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30851, 30847])).
% 83.83/53.43 tff(30853,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30854,plain,
% 83.83/53.43 ((v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2))) <=> (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30855,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30854])).
% 83.83/53.43 tff(30856,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30855, 30853])).
% 83.83/53.43 tff(30857,plain,
% 83.83/53.43 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB180, 2) | (~v100(constB180)) | (~v129(constB180, 2)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30858,plain,
% 83.83/53.43 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB180, 2) | (~v129(constB180, 2)) | (~v100(constB180))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 83.83/53.43 tff(30859,plain,
% 83.83/53.43 (v90(constB180, 2) | (~v100(constB180))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30858, 1338, 30852])).
% 83.83/53.43 tff(30860,plain,
% 83.83/53.43 (v90(constB180, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30859, 30838])).
% 83.83/53.43 tff(30861,plain,
% 83.83/53.43 ((~v1(constB181)) <=> (~v1(constB181))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30862,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 83.83/53.43 tff(30863,plain,
% 83.83/53.43 (~v1(constB181)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30862, 30861])).
% 83.83/53.43 tff(30864,plain,
% 83.83/53.43 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30865,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 83.83/53.43 tff(30866,plain,
% 83.83/53.43 (nextState(constB180, constB181)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 83.83/53.43 tff(30867,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30868,plain,
% 83.83/53.43 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30869,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30868])).
% 83.83/53.43 tff(30870,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30869, 30867])).
% 83.83/53.43 tff(30871,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30872,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30871, 30870])).
% 83.83/53.43 tff(30873,plain,
% 83.83/53.43 (~v101(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30872, 66, 30866, 30863])).
% 83.83/53.43 tff(30874,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30875,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30876,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30875, 30874])).
% 83.83/53.43 tff(30877,plain,
% 83.83/53.43 (v101(constB181) | (~v100(constB181))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30876, 83, 30866])).
% 83.83/53.43 tff(30878,plain,
% 83.83/53.43 (~v100(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30877, 30873])).
% 83.83/53.43 tff(30879,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30880,plain,
% 83.83/53.43 (((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)) <=> ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30881,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30880])).
% 83.83/53.43 tff(30882,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30881, 30879])).
% 83.83/53.43 tff(30883,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30884,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB180, 2)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 2)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 83.83/53.43 tff(30885,plain,
% 83.83/53.43 ((~v90(constB180, 2)) | v100(constB181) | v90(constB181, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30884, 1374, 30866])).
% 83.83/53.43 tff(30886,plain,
% 83.83/53.43 ((~v90(constB180, 2)) | v90(constB181, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30885, 30878])).
% 83.83/53.43 tff(30887,plain,
% 83.83/53.43 (v90(constB181, 2)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30886, 30860])).
% 83.83/53.43 tff(30888,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30889,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB179)) | v130(constB179, 1))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30890,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB179)) | v130(constB179, 1)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30889, 30888])).
% 83.83/53.43 tff(30891,plain,
% 83.83/53.43 (v130(constB179, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30890, 1767, 30771])).
% 83.83/53.43 tff(30892,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30893,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30894,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB179) | (~v130(constB179, 1)) | v127(constB179, 1)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30893, 30892])).
% 83.83/53.43 tff(30895,plain,
% 83.83/53.43 ((~v130(constB179, 1)) | v127(constB179, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30894, 818, 30786])).
% 83.83/53.43 tff(30896,plain,
% 83.83/53.43 (v127(constB179, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30895, 30891])).
% 83.83/53.43 tff(30897,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30898,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30899,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB179, constB180)) | (~v127(constB179, 1)) | v129(constB180, 1)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30898, 30897])).
% 83.83/53.43 tff(30900,plain,
% 83.83/53.43 ((~v127(constB179, 1)) | v129(constB180, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30899, 833, 30804])).
% 83.83/53.43 tff(30901,plain,
% 83.83/53.43 (v129(constB180, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30900, 30896])).
% 83.83/53.43 tff(30902,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30903,plain,
% 83.83/53.43 ((v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1))) <=> (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30904,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30903])).
% 83.83/53.43 tff(30905,plain,
% 83.83/53.43 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30904, 30902])).
% 83.83/53.43 tff(30906,plain,
% 83.83/53.43 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB180, 1) | (~v100(constB180)) | (~v129(constB180, 1)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30907,plain,
% 83.83/53.43 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB180, 1) | (~v129(constB180, 1)) | (~v100(constB180))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30906, 30905])).
% 83.83/53.43 tff(30908,plain,
% 83.83/53.43 (v90(constB180, 1) | (~v100(constB180))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30907, 848, 30901])).
% 83.83/53.43 tff(30909,plain,
% 83.83/53.43 (v90(constB180, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30908, 30838])).
% 83.83/53.43 tff(30910,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30911,plain,
% 83.83/53.43 (((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)) <=> ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30912,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30911])).
% 83.83/53.43 tff(30913,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30912, 30910])).
% 83.83/53.43 tff(30914,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB180, constB181)) | (~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30915,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB180, 1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, 1)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 83.83/53.43 tff(30916,plain,
% 83.83/53.43 ((~v90(constB180, 1)) | v100(constB181) | v90(constB181, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30915, 866, 30866])).
% 83.83/53.43 tff(30917,plain,
% 83.83/53.43 ((~v90(constB180, 1)) | v90(constB181, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30916, 30878])).
% 83.83/53.43 tff(30918,plain,
% 83.83/53.43 (v90(constB181, 1)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30917, 30909])).
% 83.83/53.43 tff(30919,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30920,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB179)) | (~v130(constB179, 0)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30921,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB179)) | (~v130(constB179, 0))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30920, 30919])).
% 83.83/53.43 tff(30922,plain,
% 83.83/53.43 (~v130(constB179, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30921, 1882, 30771])).
% 83.83/53.43 tff(30923,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30924,plain,
% 83.83/53.43 ((v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0))) <=> ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30925,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30924])).
% 83.83/53.43 tff(30926,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30925, 30923])).
% 83.83/53.43 tff(30927,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB179) | v130(constB179, 0) | (~v127(constB179, 0)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30928,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB179, 0)) | v26(constB179) | v130(constB179, 0)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 83.83/53.43 tff(30929,plain,
% 83.83/53.43 ((~v127(constB179, 0)) | v130(constB179, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30928, 896, 30786])).
% 83.83/53.43 tff(30930,plain,
% 83.83/53.43 (~v127(constB179, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30929, 30922])).
% 83.83/53.43 tff(30931,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30932,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30933,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB179, constB180)) | v127(constB179, 0) | (~v129(constB180, 0))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30932, 30931])).
% 83.83/53.43 tff(30934,plain,
% 83.83/53.43 (v127(constB179, 0) | (~v129(constB180, 0))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30933, 914, 30804])).
% 83.83/53.43 tff(30935,plain,
% 83.83/53.43 (~v129(constB180, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30934, 30930])).
% 83.83/53.43 tff(30936,plain,
% 83.83/53.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30937,plain,
% 83.83/53.43 (((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0)) <=> ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30938,plain,
% 83.83/53.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30937])).
% 83.83/53.43 tff(30939,plain,
% 83.83/53.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30938, 30936])).
% 83.83/53.43 tff(30940,plain,
% 83.83/53.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB180, 0)) | (~v100(constB180)) | v129(constB180, 0))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30941,plain,
% 83.83/53.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB180, 0)) | v129(constB180, 0) | (~v100(constB180))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30940, 30939])).
% 83.83/53.43 tff(30942,plain,
% 83.83/53.43 ((~v90(constB180, 0)) | (~v100(constB180))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30941, 929, 30935])).
% 83.83/53.43 tff(30943,plain,
% 83.83/53.43 (~v90(constB180, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30942, 30838])).
% 83.83/53.43 tff(30944,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30945,plain,
% 83.83/53.43 (((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))) <=> (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30946,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30945])).
% 83.83/53.43 tff(30947,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30946, 30944])).
% 83.83/53.43 tff(30948,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB180, constB181)) | v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30949,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB180, 0) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, 0))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30948, 30947])).
% 83.83/53.43 tff(30950,plain,
% 83.83/53.43 (v90(constB180, 0) | v100(constB181) | (~v90(constB181, 0))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30949, 140, 30866])).
% 83.83/53.43 tff(30951,plain,
% 83.83/53.43 (v90(constB180, 0) | (~v90(constB181, 0))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30950, 30878])).
% 83.83/53.43 tff(30952,plain,
% 83.83/53.43 (~v90(constB181, 0)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30951, 30943])).
% 83.83/53.43 tff(30953,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30954,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30955,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB181, 0) | (~v90(constB181, 1)) | (~v90(constB181, 2)) | v125(constB181)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30954, 30953])).
% 83.83/53.43 tff(30956,plain,
% 83.83/53.43 (v125(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30955, 1934, 30952, 30918, 30887])).
% 83.83/53.43 tff(30957,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v125(constB181)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v125(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30958,plain,
% 83.83/53.43 (((~v125(constB181)) | v113(constB181)) <=> (v113(constB181) | (~v125(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30959,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB181) | (~v125(constB181))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30958])).
% 83.83/53.43 tff(30960,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v125(constB181)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30959, 30957])).
% 83.83/53.43 tff(30961,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB181)) | v113(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30962,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB181) | (~v125(constB181))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30961, 30960])).
% 83.83/53.43 tff(30963,plain,
% 83.83/53.43 (v113(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30962, 1946, 30956])).
% 83.83/53.43 tff(30964,assumption,(v26(constB181)), introduced(assumption)).
% 83.83/53.43 tff(30965,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30966,plain,
% 83.83/53.43 ($false),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30965, 19, 30964])).
% 83.83/53.43 tff(30967,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.43 tff(30968,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30969,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30970,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30969, 30968])).
% 83.83/53.43 tff(30971,plain,
% 83.83/53.43 ((~v113(constB181)) | v112(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30970, 256, 30967])).
% 83.83/53.43 tff(30972,plain,
% 83.83/53.43 (v112(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30971, 30963])).
% 83.83/53.43 tff(30973,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30974,plain,
% 83.83/53.43 (((~v112(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v112(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30975,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v112(constB181))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30974])).
% 83.83/53.43 tff(30976,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30975, 30973])).
% 83.83/53.43 tff(30977,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB181)) | v108(constB181))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30978,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v112(constB181))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30977, 30976])).
% 83.83/53.43 tff(30979,plain,
% 83.83/53.43 (v108(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30978, 268, 30972])).
% 83.83/53.43 tff(30980,plain,
% 83.83/53.43 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30981,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 83.83/53.43 tff(30982,plain,
% 83.83/53.43 (nextState(constB181, constB182)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30981, 30980])).
% 83.83/53.43 tff(30983,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30984,plain,
% 83.83/53.43 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30985,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[30984])).
% 83.83/53.43 tff(30986,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[30985, 30983])).
% 83.83/53.43 tff(30987,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30988,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 83.83/53.43 tff(30989,plain,
% 83.83/53.43 (v110(constB182) | (~v108(constB181))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30988, 288, 30982])).
% 83.83/53.43 tff(30990,plain,
% 83.83/53.43 (v110(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30989, 30979])).
% 83.83/53.43 tff(30991,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30992,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30993,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30992, 30991])).
% 83.83/53.43 tff(30994,plain,
% 83.83/53.43 (~v104(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30993, 306, 30982, 30863])).
% 83.83/53.43 tff(30995,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(30996,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(30997,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[30996, 30995])).
% 83.83/53.43 tff(30998,plain,
% 83.83/53.43 (v102(constB182) | v104(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30997, 320, 30982])).
% 83.83/53.43 tff(30999,plain,
% 83.83/53.43 (v102(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[30998, 30994])).
% 83.83/53.43 tff(31000,plain,
% 83.83/53.43 (v1(constB182) <=> v1(constB182)),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31001,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 83.83/53.43 tff(31002,plain,
% 83.83/53.43 (v1(constB182)),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[31001, 31000])).
% 83.83/53.43 tff(31003,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31004,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(31005,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[31004, 31003])).
% 83.83/53.43 tff(31006,plain,
% 83.83/53.43 (v101(constB182) | (~v102(constB182))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31005, 338, 30982, 31002])).
% 83.83/53.43 tff(31007,plain,
% 83.83/53.43 (v101(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31006, 30999])).
% 83.83/53.43 tff(31008,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31009,plain,
% 83.83/53.43 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31010,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))))),
% 83.83/53.43 inference(monotonicity,[status(thm)],[31009])).
% 83.83/53.43 tff(31011,plain,
% 83.83/53.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 83.83/53.43 inference(transitivity,[status(thm)],[31010, 31008])).
% 83.83/53.43 tff(31012,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(31013,plain,
% 83.83/53.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 83.83/53.43 tff(31014,plain,
% 83.83/53.43 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31013, 353, 30982])).
% 83.83/53.43 tff(31015,plain,
% 83.83/53.43 (v100(constB182) | (~v110(constB182))),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31014, 31007])).
% 83.83/53.43 tff(31016,plain,
% 83.83/53.43 (v100(constB182)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31015, 30990])).
% 83.83/53.43 tff(31017,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31018,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB181)) | (~v90(constB181, 2)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(31019,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB181)) | (~v90(constB181, 2))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 83.83/53.43 tff(31020,plain,
% 83.83/53.43 (~v121(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31019, 2017, 30887])).
% 83.83/53.43 tff(31021,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2)))),
% 83.83/53.43 inference(rewrite,[status(thm)],[])).
% 83.83/53.43 tff(31022,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB181)) | (~v90(constB181, 2)))),
% 83.83/53.43 inference(quant_inst,[status(thm)],[])).
% 83.83/53.43 tff(31023,plain,
% 83.83/53.43 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB181)) | (~v90(constB181, 2))),
% 83.83/53.43 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 83.83/53.43 tff(31024,plain,
% 83.83/53.43 (~v122(constB181)),
% 83.83/53.43 inference(unit_resolution,[status(thm)],[31023, 2006, 30887])).
% 83.83/53.43 tff(31025,plain,
% 83.83/53.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31026,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31027,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB181)) | (~v90(constB181, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31026, 31025])).
% 83.83/53.44 tff(31028,plain,
% 83.83/53.44 (~v119(constB181)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31027, 2028, 30918])).
% 83.83/53.44 tff(31029,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31030,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31031,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB181)) | (~v90(constB181, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31030, 31029])).
% 83.83/53.44 tff(31032,plain,
% 83.83/53.44 (~v120(constB181)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31031, 2039, 30918])).
% 83.83/53.44 tff(31033,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31034,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31035,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB181)) | (~v90(constB181, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31034, 31033])).
% 83.83/53.44 tff(31036,plain,
% 83.83/53.44 (~v123(constB181)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31035, 2050, 30918])).
% 83.83/53.44 tff(31037,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31038,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB181)) | (~v90(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31039,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB181)) | (~v90(constB181, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31038, 31037])).
% 83.83/53.44 tff(31040,plain,
% 83.83/53.44 (~v124(constB181)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31039, 2061, 30918])).
% 83.83/53.44 tff(31041,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31042,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31043,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 2))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31042, 31041])).
% 83.83/53.44 tff(31044,plain,
% 83.83/53.44 (~v130(constB181, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31043, 2075, 31040, 31036, 31032, 31028, 31024, 31020])).
% 83.83/53.44 tff(31045,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31046,plain,
% 83.83/53.44 ((v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2))) <=> ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31047,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31046])).
% 83.83/53.44 tff(31048,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31047, 31045])).
% 83.83/53.44 tff(31049,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB181) | v130(constB181, 2) | (~v127(constB181, 2)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31050,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB181, 2)) | v26(constB181) | v130(constB181, 2)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31049, 31048])).
% 83.83/53.44 tff(31051,plain,
% 83.83/53.44 ((~v127(constB181, 2)) | v130(constB181, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31050, 556, 30967])).
% 83.83/53.44 tff(31052,plain,
% 83.83/53.44 (~v127(constB181, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31051, 31044])).
% 83.83/53.44 tff(31053,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31054,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31055,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB181, constB182)) | v127(constB181, 2) | (~v129(constB182, 2))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31054, 31053])).
% 83.83/53.44 tff(31056,plain,
% 83.83/53.44 (v127(constB181, 2) | (~v129(constB182, 2))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31055, 574, 30982])).
% 83.83/53.44 tff(31057,plain,
% 83.83/53.44 (~v129(constB182, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31056, 31052])).
% 83.83/53.44 tff(31058,plain,
% 83.83/53.44 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31059,plain,
% 83.83/53.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31060,plain,
% 83.83/53.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB182, 2)) | v129(constB182, 2) | (~v100(constB182))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 83.83/53.44 tff(31061,plain,
% 83.83/53.44 ((~v90(constB182, 2)) | (~v100(constB182))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31060, 589, 31057])).
% 83.83/53.44 tff(31062,plain,
% 83.83/53.44 (~v90(constB182, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31061, 31016])).
% 83.83/53.44 tff(31063,plain,
% 83.83/53.44 ((~v1(constB183)) <=> (~v1(constB183))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31064,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 83.83/53.44 tff(31065,plain,
% 83.83/53.44 (~v1(constB183)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31064, 31063])).
% 83.83/53.44 tff(31066,plain,
% 83.83/53.44 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31067,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 83.83/53.44 tff(31068,plain,
% 83.83/53.44 (nextState(constB182, constB183)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31067, 31066])).
% 83.83/53.44 tff(31069,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31070,plain,
% 83.83/53.44 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31071,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31070])).
% 83.83/53.44 tff(31072,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31071, 31069])).
% 83.83/53.44 tff(31073,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31074,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 83.83/53.44 tff(31075,plain,
% 83.83/53.44 (~v101(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31074, 66, 31068, 31065])).
% 83.83/53.44 tff(31076,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31077,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31078,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31077, 31076])).
% 83.83/53.44 tff(31079,plain,
% 83.83/53.44 (v101(constB183) | (~v100(constB183))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31078, 83, 31068])).
% 83.83/53.44 tff(31080,plain,
% 83.83/53.44 (~v100(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31079, 31075])).
% 83.83/53.44 tff(31081,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31082,plain,
% 83.83/53.44 (((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))) <=> (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31083,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31082])).
% 83.83/53.44 tff(31084,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31083, 31081])).
% 83.83/53.44 tff(31085,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB182, constB183)) | v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31086,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB182, 2) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 2))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31085, 31084])).
% 83.83/53.44 tff(31087,plain,
% 83.83/53.44 (v90(constB182, 2) | v100(constB183) | (~v90(constB183, 2))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31086, 98, 31068])).
% 83.83/53.44 tff(31088,plain,
% 83.83/53.44 (v90(constB182, 2) | (~v90(constB183, 2))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31087, 31080])).
% 83.83/53.44 tff(31089,plain,
% 83.83/53.44 (~v90(constB183, 2)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31088, 31062])).
% 83.83/53.44 tff(31090,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31091,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31092,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~v130(constB181, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31091, 31090])).
% 83.83/53.44 tff(31093,plain,
% 83.83/53.44 (~v130(constB181, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31092, 2135, 31040, 31036, 31032, 31028, 31024, 31020])).
% 83.83/53.44 tff(31094,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31095,plain,
% 83.83/53.44 ((v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1))) <=> ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31096,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31095])).
% 83.83/53.44 tff(31097,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31096, 31094])).
% 83.83/53.44 tff(31098,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB181) | v130(constB181, 1) | (~v127(constB181, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31099,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB181, 1)) | v26(constB181) | v130(constB181, 1)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31098, 31097])).
% 83.83/53.44 tff(31100,plain,
% 83.83/53.44 ((~v127(constB181, 1)) | v130(constB181, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31099, 383, 30967])).
% 83.83/53.44 tff(31101,plain,
% 83.83/53.44 (~v127(constB181, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31100, 31093])).
% 83.83/53.44 tff(31102,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31103,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31104,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB181, constB182)) | v127(constB181, 1) | (~v129(constB182, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 83.83/53.44 tff(31105,plain,
% 83.83/53.44 (v127(constB181, 1) | (~v129(constB182, 1))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31104, 401, 30982])).
% 83.83/53.44 tff(31106,plain,
% 83.83/53.44 (~v129(constB182, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31105, 31101])).
% 83.83/53.44 tff(31107,plain,
% 83.83/53.44 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31108,plain,
% 83.83/53.44 (((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1)) <=> ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31109,plain,
% 83.83/53.44 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31108])).
% 83.83/53.44 tff(31110,plain,
% 83.83/53.44 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31109, 31107])).
% 83.83/53.44 tff(31111,plain,
% 83.83/53.44 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB182, 1)) | (~v100(constB182)) | v129(constB182, 1))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31112,plain,
% 83.83/53.44 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB182, 1)) | v129(constB182, 1) | (~v100(constB182))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31111, 31110])).
% 83.83/53.44 tff(31113,plain,
% 83.83/53.44 ((~v90(constB182, 1)) | (~v100(constB182))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31112, 416, 31106])).
% 83.83/53.44 tff(31114,plain,
% 83.83/53.44 (~v90(constB182, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31113, 31016])).
% 83.83/53.44 tff(31115,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31116,plain,
% 83.83/53.44 (((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))) <=> (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31117,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31116])).
% 83.83/53.44 tff(31118,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31117, 31115])).
% 83.83/53.44 tff(31119,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB182, constB183)) | v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31120,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB182, 1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, 1))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31119, 31118])).
% 83.83/53.44 tff(31121,plain,
% 83.83/53.44 (v90(constB182, 1) | v100(constB183) | (~v90(constB183, 1))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31120, 119, 31068])).
% 83.83/53.44 tff(31122,plain,
% 83.83/53.44 (v90(constB182, 1) | (~v90(constB183, 1))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31121, 31080])).
% 83.83/53.44 tff(31123,plain,
% 83.83/53.44 (~v90(constB183, 1)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31122, 31114])).
% 83.83/53.44 tff(31124,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31125,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31126,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | v130(constB181, 0)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 83.83/53.44 tff(31127,plain,
% 83.83/53.44 (v130(constB181, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31126, 2180, 31040, 31036, 31032, 31028, 31024, 31020])).
% 83.83/53.44 tff(31128,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31129,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31130,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB181) | (~v130(constB181, 0)) | v127(constB181, 0)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31129, 31128])).
% 83.83/53.44 tff(31131,plain,
% 83.83/53.44 ((~v130(constB181, 0)) | v127(constB181, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31130, 478, 30967])).
% 83.83/53.44 tff(31132,plain,
% 83.83/53.44 (v127(constB181, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31131, 31127])).
% 83.83/53.44 tff(31133,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31134,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31135,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB181, constB182)) | (~v127(constB181, 0)) | v129(constB182, 0)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 83.83/53.44 tff(31136,plain,
% 83.83/53.44 ((~v127(constB181, 0)) | v129(constB182, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31135, 493, 30982])).
% 83.83/53.44 tff(31137,plain,
% 83.83/53.44 (v129(constB182, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31136, 31132])).
% 83.83/53.44 tff(31138,plain,
% 83.83/53.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31139,plain,
% 83.83/53.44 ((v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0))) <=> (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31140,plain,
% 83.83/53.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31139])).
% 83.83/53.44 tff(31141,plain,
% 83.83/53.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31140, 31138])).
% 83.83/53.44 tff(31142,plain,
% 83.83/53.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB182, 0) | (~v100(constB182)) | (~v129(constB182, 0)))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31143,plain,
% 83.83/53.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB182, 0) | (~v129(constB182, 0)) | (~v100(constB182))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 83.83/53.44 tff(31144,plain,
% 83.83/53.44 (v90(constB182, 0) | (~v100(constB182))),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31143, 508, 31137])).
% 83.83/53.44 tff(31145,plain,
% 83.83/53.44 (v90(constB182, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31144, 31016])).
% 83.83/53.44 tff(31146,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31147,plain,
% 83.83/53.44 (((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)) <=> ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31148,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31147])).
% 83.83/53.44 tff(31149,plain,
% 83.83/53.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31148, 31146])).
% 83.83/53.44 tff(31150,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB182, constB183)) | (~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31151,plain,
% 83.83/53.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB182, 0)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, 0)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31150, 31149])).
% 83.83/53.44 tff(31152,plain,
% 83.83/53.44 ((~v90(constB182, 0)) | v100(constB183) | v90(constB183, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31151, 526, 31068])).
% 83.83/53.44 tff(31153,plain,
% 83.83/53.44 ((~v90(constB182, 0)) | v90(constB183, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31152, 31080])).
% 83.83/53.44 tff(31154,plain,
% 83.83/53.44 (v90(constB183, 0)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31153, 31145])).
% 83.83/53.44 tff(31155,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31156,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31157,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB183, 0)) | v90(constB183, 1) | v90(constB183, 2) | v120(constB183)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31156, 31155])).
% 83.83/53.44 tff(31158,plain,
% 83.83/53.44 (v120(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31157, 614, 31154, 31123, 31089])).
% 83.83/53.44 tff(31159,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31160,plain,
% 83.83/53.44 (((~v120(constB183)) | v118(constB183)) <=> (v118(constB183) | (~v120(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31161,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB183) | (~v120(constB183))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31160])).
% 83.83/53.44 tff(31162,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31161, 31159])).
% 83.83/53.44 tff(31163,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB183)) | v118(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31164,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB183) | (~v120(constB183))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31163, 31162])).
% 83.83/53.44 tff(31165,plain,
% 83.83/53.44 (v118(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31164, 628, 31158])).
% 83.83/53.44 tff(31166,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB183)) | v117(constB183))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31167,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB183)) | v117(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31168,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (~v118(constB183)) | v117(constB183)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31167, 31166])).
% 83.83/53.44 tff(31169,plain,
% 83.83/53.44 (v117(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31168, 186, 31165])).
% 83.83/53.44 tff(31170,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31171,plain,
% 83.83/53.44 (((~v117(constB183)) | v116(constB183)) <=> (v116(constB183) | (~v117(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31172,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB183) | (~v117(constB183))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31171])).
% 83.83/53.44 tff(31173,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31172, 31170])).
% 83.83/53.44 tff(31174,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB183)) | v116(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31175,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB183) | (~v117(constB183))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31174, 31173])).
% 83.83/53.44 tff(31176,plain,
% 83.83/53.44 (v116(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31175, 200, 31169])).
% 83.83/53.44 tff(31177,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31178,plain,
% 83.83/53.44 (((~v116(constB183)) | v115(constB183)) <=> (v115(constB183) | (~v116(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31179,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB183) | (~v116(constB183))))),
% 83.83/53.44 inference(monotonicity,[status(thm)],[31178])).
% 83.83/53.44 tff(31180,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183)))),
% 83.83/53.44 inference(transitivity,[status(thm)],[31179, 31177])).
% 83.83/53.44 tff(31181,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB183)) | v115(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31182,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB183) | (~v116(constB183))),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 83.83/53.44 tff(31183,plain,
% 83.83/53.44 (v115(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31182, 214, 31176])).
% 83.83/53.44 tff(31184,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB183)) | v114(constB183))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31185,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB183)) | v114(constB183))),
% 83.83/53.44 inference(quant_inst,[status(thm)],[])).
% 83.83/53.44 tff(31186,plain,
% 83.83/53.44 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB183)) | v114(constB183)),
% 83.83/53.44 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 83.83/53.44 tff(31187,plain,
% 83.83/53.44 (v114(constB183)),
% 83.83/53.44 inference(unit_resolution,[status(thm)],[31186, 228, 31183])).
% 83.83/53.44 tff(31188,plain,
% 83.83/53.44 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31189,plain,
% 83.83/53.44 (((~v114(constB183)) | v113(constB183)) <=> (v113(constB183) | (~v114(constB183)))),
% 83.83/53.44 inference(rewrite,[status(thm)],[])).
% 83.83/53.44 tff(31190,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB183) | (~v114(constB183))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31189])).
% 83.83/53.45 tff(31191,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31190, 31188])).
% 83.83/53.45 tff(31192,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB183)) | v113(constB183))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31193,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB183) | (~v114(constB183))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31192, 31191])).
% 83.83/53.45 tff(31194,plain,
% 83.83/53.45 (v113(constB183)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31193, 242, 31187])).
% 83.83/53.45 tff(31195,assumption,(v26(constB183)), introduced(assumption)).
% 83.83/53.45 tff(31196,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31197,plain,
% 83.83/53.45 ($false),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31196, 19, 31195])).
% 83.83/53.45 tff(31198,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.45 tff(31199,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31200,plain,
% 83.83/53.45 ((v26(constB183) | (~v113(constB183)) | v112(constB183)) <=> (v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31201,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | v112(constB183) | (~v113(constB183))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31200])).
% 83.83/53.45 tff(31202,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31201, 31199])).
% 83.83/53.45 tff(31203,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31204,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | v112(constB183) | (~v113(constB183))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 83.83/53.45 tff(31205,plain,
% 83.83/53.45 (v112(constB183) | (~v113(constB183))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31204, 256, 31198])).
% 83.83/53.45 tff(31206,plain,
% 83.83/53.45 (v112(constB183)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31205, 31194])).
% 83.83/53.45 tff(31207,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31208,plain,
% 83.83/53.45 (((~v112(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v112(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31209,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v112(constB183))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31208])).
% 83.83/53.45 tff(31210,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31209, 31207])).
% 83.83/53.45 tff(31211,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB183)) | v108(constB183))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31212,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v112(constB183))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31211, 31210])).
% 83.83/53.45 tff(31213,plain,
% 83.83/53.45 (v108(constB183)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31212, 268, 31206])).
% 83.83/53.45 tff(31214,plain,
% 83.83/53.45 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31215,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 83.83/53.45 tff(31216,plain,
% 83.83/53.45 (nextState(constB183, constB184)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 83.83/53.45 tff(31217,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31218,plain,
% 83.83/53.45 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31219,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31218])).
% 83.83/53.45 tff(31220,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31219, 31217])).
% 83.83/53.45 tff(31221,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31222,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31221, 31220])).
% 83.83/53.45 tff(31223,plain,
% 83.83/53.45 (v110(constB184) | (~v108(constB183))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31222, 288, 31216])).
% 83.83/53.45 tff(31224,plain,
% 83.83/53.45 (v110(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31223, 31213])).
% 83.83/53.45 tff(31225,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31226,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31227,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 83.83/53.45 tff(31228,plain,
% 83.83/53.45 (~v104(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31227, 306, 31216, 31065])).
% 83.83/53.45 tff(31229,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31230,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31231,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31230, 31229])).
% 83.83/53.45 tff(31232,plain,
% 83.83/53.45 (v102(constB184) | v104(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31231, 320, 31216])).
% 83.83/53.45 tff(31233,plain,
% 83.83/53.45 (v102(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31232, 31228])).
% 83.83/53.45 tff(31234,plain,
% 83.83/53.45 (v1(constB184) <=> v1(constB184)),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31235,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 83.83/53.45 tff(31236,plain,
% 83.83/53.45 (v1(constB184)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31235, 31234])).
% 83.83/53.45 tff(31237,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31238,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31239,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31238, 31237])).
% 83.83/53.45 tff(31240,plain,
% 83.83/53.45 (v101(constB184) | (~v102(constB184))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31239, 338, 31216, 31236])).
% 83.83/53.45 tff(31241,plain,
% 83.83/53.45 (v101(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31240, 31233])).
% 83.83/53.45 tff(31242,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31243,plain,
% 83.83/53.45 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31244,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31243])).
% 83.83/53.45 tff(31245,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31244, 31242])).
% 83.83/53.45 tff(31246,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31247,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31246, 31245])).
% 83.83/53.45 tff(31248,plain,
% 83.83/53.45 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31247, 353, 31216])).
% 83.83/53.45 tff(31249,plain,
% 83.83/53.45 (v100(constB184) | (~v110(constB184))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31248, 31241])).
% 83.83/53.45 tff(31250,plain,
% 83.83/53.45 (v100(constB184)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31249, 31224])).
% 83.83/53.45 tff(31251,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31252,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB183)) | (~v130(constB183, 0)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31253,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB183)) | (~v130(constB183, 0))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31252, 31251])).
% 83.83/53.45 tff(31254,plain,
% 83.83/53.45 (~v130(constB183, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31253, 882, 31158])).
% 83.83/53.45 tff(31255,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31256,plain,
% 83.83/53.45 ((v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0))) <=> ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31257,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31256])).
% 83.83/53.45 tff(31258,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31257, 31255])).
% 83.83/53.45 tff(31259,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB183) | v130(constB183, 0) | (~v127(constB183, 0)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31260,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB183, 0)) | v26(constB183) | v130(constB183, 0)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31259, 31258])).
% 83.83/53.45 tff(31261,plain,
% 83.83/53.45 ((~v127(constB183, 0)) | v130(constB183, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31260, 896, 31198])).
% 83.83/53.45 tff(31262,plain,
% 83.83/53.45 (~v127(constB183, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31261, 31254])).
% 83.83/53.45 tff(31263,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31264,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31265,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB183, constB184)) | v127(constB183, 0) | (~v129(constB184, 0))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 83.83/53.45 tff(31266,plain,
% 83.83/53.45 (v127(constB183, 0) | (~v129(constB184, 0))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31265, 914, 31216])).
% 83.83/53.45 tff(31267,plain,
% 83.83/53.45 (~v129(constB184, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31266, 31262])).
% 83.83/53.45 tff(31268,plain,
% 83.83/53.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31269,plain,
% 83.83/53.45 (((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0)) <=> ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31270,plain,
% 83.83/53.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31269])).
% 83.83/53.45 tff(31271,plain,
% 83.83/53.45 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31270, 31268])).
% 83.83/53.45 tff(31272,plain,
% 83.83/53.45 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB184, 0)) | (~v100(constB184)) | v129(constB184, 0))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31273,plain,
% 83.83/53.45 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB184, 0)) | v129(constB184, 0) | (~v100(constB184))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31272, 31271])).
% 83.83/53.45 tff(31274,plain,
% 83.83/53.45 ((~v90(constB184, 0)) | (~v100(constB184))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31273, 929, 31267])).
% 83.83/53.45 tff(31275,plain,
% 83.83/53.45 (~v90(constB184, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31274, 31250])).
% 83.83/53.45 tff(31276,plain,
% 83.83/53.45 ((~v1(constB185)) <=> (~v1(constB185))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31277,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 83.83/53.45 tff(31278,plain,
% 83.83/53.45 (~v1(constB185)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31277, 31276])).
% 83.83/53.45 tff(31279,plain,
% 83.83/53.45 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31280,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 83.83/53.45 tff(31281,plain,
% 83.83/53.45 (nextState(constB184, constB185)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 83.83/53.45 tff(31282,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31283,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31284,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31283])).
% 83.83/53.45 tff(31285,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31284, 31282])).
% 83.83/53.45 tff(31286,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31287,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31286, 31285])).
% 83.83/53.45 tff(31288,plain,
% 83.83/53.45 (~v101(constB185)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31287, 66, 31281, 31278])).
% 83.83/53.45 tff(31289,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31290,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31291,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31290, 31289])).
% 83.83/53.45 tff(31292,plain,
% 83.83/53.45 (v101(constB185) | (~v100(constB185))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31291, 83, 31281])).
% 83.83/53.45 tff(31293,plain,
% 83.83/53.45 (~v100(constB185)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31292, 31288])).
% 83.83/53.45 tff(31294,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31295,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))) <=> (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31296,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31295])).
% 83.83/53.45 tff(31297,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31296, 31294])).
% 83.83/53.45 tff(31298,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB184, constB185)) | v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31299,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB184, 0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 0))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31298, 31297])).
% 83.83/53.45 tff(31300,plain,
% 83.83/53.45 (v90(constB184, 0) | v100(constB185) | (~v90(constB185, 0))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31299, 140, 31281])).
% 83.83/53.45 tff(31301,plain,
% 83.83/53.45 (v90(constB184, 0) | (~v90(constB185, 0))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31300, 31293])).
% 83.83/53.45 tff(31302,plain,
% 83.83/53.45 (~v90(constB185, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31301, 31275])).
% 83.83/53.45 tff(31303,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31304,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB183)) | (~v130(constB183, 2)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31305,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB183)) | (~v130(constB183, 2))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31304, 31303])).
% 83.83/53.45 tff(31306,plain,
% 83.83/53.45 (~v130(constB183, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31305, 744, 31158])).
% 83.83/53.45 tff(31307,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31308,plain,
% 83.83/53.45 ((v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2))) <=> ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31309,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31308])).
% 83.83/53.45 tff(31310,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31309, 31307])).
% 83.83/53.45 tff(31311,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB183) | v130(constB183, 2) | (~v127(constB183, 2)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31312,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB183, 2)) | v26(constB183) | v130(constB183, 2)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31311, 31310])).
% 83.83/53.45 tff(31313,plain,
% 83.83/53.45 ((~v127(constB183, 2)) | v130(constB183, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31312, 556, 31198])).
% 83.83/53.45 tff(31314,plain,
% 83.83/53.45 (~v127(constB183, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31313, 31306])).
% 83.83/53.45 tff(31315,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31316,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31317,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB183, constB184)) | v127(constB183, 2) | (~v129(constB184, 2))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31316, 31315])).
% 83.83/53.45 tff(31318,plain,
% 83.83/53.45 (v127(constB183, 2) | (~v129(constB184, 2))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31317, 574, 31216])).
% 83.83/53.45 tff(31319,plain,
% 83.83/53.45 (~v129(constB184, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31318, 31314])).
% 83.83/53.45 tff(31320,plain,
% 83.83/53.45 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31321,plain,
% 83.83/53.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31322,plain,
% 83.83/53.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB184, 2)) | v129(constB184, 2) | (~v100(constB184))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31321, 31320])).
% 83.83/53.45 tff(31323,plain,
% 83.83/53.45 ((~v90(constB184, 2)) | (~v100(constB184))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31322, 589, 31319])).
% 83.83/53.45 tff(31324,plain,
% 83.83/53.45 (~v90(constB184, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31323, 31250])).
% 83.83/53.45 tff(31325,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31326,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))) <=> (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31327,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31326])).
% 83.83/53.45 tff(31328,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2)))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31327, 31325])).
% 83.83/53.45 tff(31329,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB184, constB185)) | v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2)))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31330,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB184, 2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, 2))),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 83.83/53.45 tff(31331,plain,
% 83.83/53.45 (v90(constB184, 2) | v100(constB185) | (~v90(constB185, 2))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31330, 98, 31281])).
% 83.83/53.45 tff(31332,plain,
% 83.83/53.45 (v90(constB184, 2) | (~v90(constB185, 2))),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31331, 31293])).
% 83.83/53.45 tff(31333,plain,
% 83.83/53.45 (~v90(constB185, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31332, 31324])).
% 83.83/53.45 tff(31334,assumption,(~v90(constB185, 0)), introduced(assumption)).
% 83.83/53.45 tff(31335,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31336,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | (~v90(constB184, 0)) | v100(constB185) | v90(constB185, 0)) <=> ((~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31337,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 0)) | v100(constB185) | v90(constB185, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0)))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31336])).
% 83.83/53.45 tff(31338,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 0)) | v100(constB185) | v90(constB185, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31337, 31335])).
% 83.83/53.45 tff(31339,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 0)) | v100(constB185) | v90(constB185, 0))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31340,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB184, 0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 0)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31339, 31338])).
% 83.83/53.45 tff(31341,plain,
% 83.83/53.45 ((~v90(constB184, 0)) | v100(constB185) | v90(constB185, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31340, 526, 31281])).
% 83.83/53.45 tff(31342,plain,
% 83.83/53.45 ((~v90(constB184, 0)) | v90(constB185, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31341, 31293])).
% 83.83/53.45 tff(31343,plain,
% 83.83/53.45 (~v90(constB184, 0)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31342, 31334])).
% 83.83/53.45 tff(31344,assumption,(~v90(constB185, 2)), introduced(assumption)).
% 83.83/53.45 tff(31345,assumption,(~v121(constB185)), introduced(assumption)).
% 83.83/53.45 tff(31346,plain,
% 83.83/53.45 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31347,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31348,plain,
% 83.83/53.45 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2) | v121(constB185)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31347, 31346])).
% 83.83/53.45 tff(31349,plain,
% 83.83/53.45 (v90(constB185, 0) | (~v90(constB185, 1)) | v90(constB185, 2)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31348, 956, 31345])).
% 83.83/53.45 tff(31350,plain,
% 83.83/53.45 (~v90(constB185, 1)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31349, 31344, 31334])).
% 83.83/53.45 tff(31351,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31352,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)) <=> ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31353,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)))),
% 83.83/53.45 inference(monotonicity,[status(thm)],[31352])).
% 83.83/53.45 tff(31354,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1))),
% 83.83/53.45 inference(transitivity,[status(thm)],[31353, 31351])).
% 83.83/53.45 tff(31355,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1))),
% 83.83/53.45 inference(quant_inst,[status(thm)],[])).
% 83.83/53.45 tff(31356,plain,
% 83.83/53.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB184, 1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 1)),
% 83.83/53.45 inference(modus_ponens,[status(thm)],[31355, 31354])).
% 83.83/53.45 tff(31357,plain,
% 83.83/53.45 ((~v90(constB184, 1)) | v100(constB185) | v90(constB185, 1)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31356, 866, 31281])).
% 83.83/53.45 tff(31358,plain,
% 83.83/53.45 ((~v90(constB184, 1)) | v90(constB185, 1)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31357, 31293])).
% 83.83/53.45 tff(31359,plain,
% 83.83/53.45 (~v90(constB184, 1)),
% 83.83/53.45 inference(unit_resolution,[status(thm)],[31358, 31350])).
% 83.83/53.45 tff(31360,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31361,plain,
% 83.83/53.45 (((~nextState(constB184, constB185)) | (~v90(constB184, 2)) | v100(constB185) | v90(constB185, 2)) <=> ((~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2))),
% 83.83/53.45 inference(rewrite,[status(thm)],[])).
% 83.83/53.45 tff(31362,plain,
% 83.83/53.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 2)) | v100(constB185) | v90(constB185, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2)))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31361])).
% 83.83/53.46 tff(31363,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 2)) | v100(constB185) | v90(constB185, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31362, 31360])).
% 83.83/53.46 tff(31364,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB184, constB185)) | (~v90(constB184, 2)) | v100(constB185) | v90(constB185, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31365,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB184, 2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 83.83/53.46 tff(31366,plain,
% 83.83/53.46 ((~v90(constB184, 2)) | v100(constB185) | v90(constB185, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31365, 1374, 31281])).
% 83.83/53.46 tff(31367,plain,
% 83.83/53.46 ((~v90(constB184, 2)) | v90(constB185, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31366, 31293])).
% 83.83/53.46 tff(31368,plain,
% 83.83/53.46 (~v90(constB184, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31367, 31344])).
% 83.83/53.46 tff(31369,assumption,(~v90(constB184, 2)), introduced(assumption)).
% 83.83/53.46 tff(31370,assumption,(~v100(constB184)), introduced(assumption)).
% 83.83/53.46 tff(31371,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31372,plain,
% 83.83/53.46 (((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2)) <=> ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31373,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2)))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31372])).
% 83.83/53.46 tff(31374,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31373, 31371])).
% 83.83/53.46 tff(31375,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31376,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB183, 2)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31375, 31374])).
% 83.83/53.46 tff(31377,plain,
% 83.83/53.46 ((~v90(constB183, 2)) | v100(constB184) | v90(constB184, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31376, 1374, 31216])).
% 83.83/53.46 tff(31378,plain,
% 83.83/53.46 (~v90(constB183, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31377, 31370, 31369])).
% 83.83/53.46 tff(31379,assumption,(~v90(constB184, 1)), introduced(assumption)).
% 83.83/53.46 tff(31380,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31381,plain,
% 83.83/53.46 (((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1)) <=> ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31382,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1)))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31381])).
% 83.83/53.46 tff(31383,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31382, 31380])).
% 83.83/53.46 tff(31384,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31385,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB183, 1)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 1)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31384, 31383])).
% 83.83/53.46 tff(31386,plain,
% 83.83/53.46 ((~v90(constB183, 1)) | v100(constB184) | v90(constB184, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31385, 866, 31216])).
% 83.83/53.46 tff(31387,plain,
% 83.83/53.46 (~v90(constB183, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31386, 31370, 31379])).
% 83.83/53.46 tff(31388,assumption,(~v90(constB184, 0)), introduced(assumption)).
% 83.83/53.46 tff(31389,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31390,plain,
% 83.83/53.46 (((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0)) <=> ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31391,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0)))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31390])).
% 83.83/53.46 tff(31392,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31391, 31389])).
% 83.83/53.46 tff(31393,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31394,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB183, 0)) | (~nextState(constB183, constB184)) | v100(constB184) | v90(constB184, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31393, 31392])).
% 83.83/53.46 tff(31395,plain,
% 83.83/53.46 ((~v90(constB183, 0)) | v100(constB184) | v90(constB184, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31394, 526, 31216])).
% 83.83/53.46 tff(31396,plain,
% 83.83/53.46 (~v90(constB183, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31395, 31370, 31388])).
% 83.83/53.46 tff(31397,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31398,plain,
% 83.83/53.46 ((v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2)) <=> (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31399,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31398])).
% 83.83/53.46 tff(31400,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31399, 31397])).
% 83.83/53.46 tff(31401,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB183, 0) | v119(constB183) | v90(constB183, 1) | v90(constB183, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31402,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB183, 0) | v90(constB183, 1) | v90(constB183, 2) | v119(constB183)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31401, 31400])).
% 83.83/53.46 tff(31403,plain,
% 83.83/53.46 (v119(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31402, 161, 31396, 31387, 31378])).
% 83.83/53.46 tff(31404,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB183)) | v118(constB183))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31405,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB183)) | v118(constB183))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31406,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB183)) | v118(constB183)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 83.83/53.46 tff(31407,plain,
% 83.83/53.46 (v118(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31406, 175, 31403])).
% 83.83/53.46 tff(31408,plain,
% 83.83/53.46 (v117(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31168, 186, 31407])).
% 83.83/53.46 tff(31409,plain,
% 83.83/53.46 (v116(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31175, 200, 31408])).
% 83.83/53.46 tff(31410,plain,
% 83.83/53.46 (~v110(constB184)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31249, 31370])).
% 83.83/53.46 tff(31411,plain,
% 83.83/53.46 (~v108(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31223, 31410])).
% 83.83/53.46 tff(31412,plain,
% 83.83/53.46 (~v112(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31212, 268, 31411])).
% 83.83/53.46 tff(31413,plain,
% 83.83/53.46 (~v113(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31205, 31412])).
% 83.83/53.46 tff(31414,plain,
% 83.83/53.46 (~v114(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31193, 242, 31413])).
% 83.83/53.46 tff(31415,plain,
% 83.83/53.46 (~v115(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31186, 228, 31414])).
% 83.83/53.46 tff(31416,plain,
% 83.83/53.46 ($false),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31182, 214, 31415, 31409])).
% 83.83/53.46 tff(31417,plain,(v100(constB184) | v90(constB184, 2) | v90(constB184, 1) | v90(constB184, 0)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.46 tff(31418,plain,
% 83.83/53.46 (v100(constB184)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31417, 31368, 31359, 31343])).
% 83.83/53.46 tff(31419,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31420,plain,
% 83.83/53.46 ((v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2))) <=> (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31421,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31420])).
% 83.83/53.46 tff(31422,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31421, 31419])).
% 83.83/53.46 tff(31423,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB184, 2) | (~v100(constB184)) | (~v129(constB184, 2)))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31424,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB184, 2) | (~v129(constB184, 2)) | (~v100(constB184))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 83.83/53.46 tff(31425,plain,
% 83.83/53.46 ((~v129(constB184, 2)) | (~v100(constB184))),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31424, 1338, 31368])).
% 83.83/53.46 tff(31426,plain,
% 83.83/53.46 (~v129(constB184, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31425, 31418])).
% 83.83/53.46 tff(31427,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31428,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31429,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB183, constB184)) | (~v127(constB183, 2)) | v129(constB184, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 83.83/53.46 tff(31430,plain,
% 83.83/53.46 ((~v127(constB183, 2)) | v129(constB184, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31429, 1230, 31216])).
% 83.83/53.46 tff(31431,plain,
% 83.83/53.46 (~v127(constB183, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31430, 31426])).
% 83.83/53.46 tff(31432,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31433,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31434,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB183) | (~v130(constB183, 2)) | v127(constB183, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31433, 31432])).
% 83.83/53.46 tff(31435,plain,
% 83.83/53.46 ((~v130(constB183, 2)) | v127(constB183, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31434, 1212, 31198])).
% 83.83/53.46 tff(31436,plain,
% 83.83/53.46 (~v130(constB183, 2)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31435, 31431])).
% 83.83/53.46 tff(31437,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB183)) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB183)) | v130(constB183, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31438,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB183)) | v130(constB183, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31439,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB183)) | v130(constB183, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 83.83/53.46 tff(31440,plain,
% 83.83/53.46 (~v124(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31439, 1716, 31436])).
% 83.83/53.46 tff(31441,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB183)) | v130(constB183, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB183)) | v130(constB183, 2))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31442,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB183)) | v130(constB183, 2))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31443,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB183)) | v130(constB183, 2)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 83.83/53.46 tff(31444,plain,
% 83.83/53.46 (~v122(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31443, 1198, 31436])).
% 83.83/53.46 tff(31445,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31446,plain,
% 83.83/53.46 ((v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0))) <=> (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31447,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31446])).
% 83.83/53.46 tff(31448,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31447, 31445])).
% 83.83/53.46 tff(31449,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB184, 0) | (~v100(constB184)) | (~v129(constB184, 0)))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31450,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB184, 0) | (~v129(constB184, 0)) | (~v100(constB184))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31449, 31448])).
% 83.83/53.46 tff(31451,plain,
% 83.83/53.46 ((~v129(constB184, 0)) | (~v100(constB184))),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31450, 508, 31343])).
% 83.83/53.46 tff(31452,plain,
% 83.83/53.46 (~v129(constB184, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31451, 31418])).
% 83.83/53.46 tff(31453,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31454,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31455,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB183, constB184)) | (~v127(constB183, 0)) | v129(constB184, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31454, 31453])).
% 83.83/53.46 tff(31456,plain,
% 83.83/53.46 ((~v127(constB183, 0)) | v129(constB184, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31455, 493, 31216])).
% 83.83/53.46 tff(31457,plain,
% 83.83/53.46 (~v127(constB183, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31456, 31452])).
% 83.83/53.46 tff(31458,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31459,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31460,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB183) | (~v130(constB183, 0)) | v127(constB183, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31459, 31458])).
% 83.83/53.46 tff(31461,plain,
% 83.83/53.46 ((~v130(constB183, 0)) | v127(constB183, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31460, 478, 31198])).
% 83.83/53.46 tff(31462,plain,
% 83.83/53.46 (~v130(constB183, 0)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31461, 31457])).
% 83.83/53.46 tff(31463,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31464,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31465,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB183)) | v130(constB183, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 83.83/53.46 tff(31466,plain,
% 83.83/53.46 (~v121(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31465, 1146, 31462])).
% 83.83/53.46 tff(31467,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31468,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31469,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB183)) | v130(constB183, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31468, 31467])).
% 83.83/53.46 tff(31470,plain,
% 83.83/53.46 (~v123(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31469, 1664, 31462])).
% 83.83/53.46 tff(31471,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB183)) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31472,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB183)) | v130(constB183, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31473,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB183)) | v130(constB183, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31472, 31471])).
% 83.83/53.46 tff(31474,plain,
% 83.83/53.46 (~v119(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31473, 464, 31462])).
% 83.83/53.46 tff(31475,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31476,plain,
% 83.83/53.46 ((v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1))) <=> (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31477,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31476])).
% 83.83/53.46 tff(31478,plain,
% 83.83/53.46 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31477, 31475])).
% 83.83/53.46 tff(31479,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB184, 1) | (~v100(constB184)) | (~v129(constB184, 1)))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31480,plain,
% 83.83/53.46 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB184, 1) | (~v129(constB184, 1)) | (~v100(constB184))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31479, 31478])).
% 83.83/53.46 tff(31481,plain,
% 83.83/53.46 ((~v129(constB184, 1)) | (~v100(constB184))),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31480, 848, 31359])).
% 83.83/53.46 tff(31482,plain,
% 83.83/53.46 (~v129(constB184, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31481, 31418])).
% 83.83/53.46 tff(31483,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31484,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31485,plain,
% 83.83/53.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB183, constB184)) | (~v127(constB183, 1)) | v129(constB184, 1)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31484, 31483])).
% 83.83/53.46 tff(31486,plain,
% 83.83/53.46 ((~v127(constB183, 1)) | v129(constB184, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31485, 833, 31216])).
% 83.83/53.46 tff(31487,plain,
% 83.83/53.46 (~v127(constB183, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31486, 31482])).
% 83.83/53.46 tff(31488,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31489,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31490,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB183) | (~v130(constB183, 1)) | v127(constB183, 1)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 83.83/53.46 tff(31491,plain,
% 83.83/53.46 ((~v130(constB183, 1)) | v127(constB183, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31490, 818, 31198])).
% 83.83/53.46 tff(31492,plain,
% 83.83/53.46 (~v130(constB183, 1)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31491, 31487])).
% 83.83/53.46 tff(31493,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31494,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB183)) | v130(constB183, 1))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31495,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB183)) | v130(constB183, 1)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31494, 31493])).
% 83.83/53.46 tff(31496,plain,
% 83.83/53.46 (~v120(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31495, 804, 31492])).
% 83.83/53.46 tff(31497,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31498,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31499,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, 0)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31498, 31497])).
% 83.83/53.46 tff(31500,plain,
% 83.83/53.46 (v119(constB183) | v120(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31499, 2180, 31462])).
% 83.83/53.46 tff(31501,plain,
% 83.83/53.46 ($false),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31500, 31496, 31474, 31470, 31466, 31444, 31440])).
% 83.83/53.46 tff(31502,plain,(v90(constB185, 2) | v90(constB185, 0) | v121(constB185)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.46 tff(31503,plain,
% 83.83/53.46 (v121(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31502, 31333, 31302])).
% 83.83/53.46 tff(31504,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31505,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB185)) | v117(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31506,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB185)) | v117(constB185)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31505, 31504])).
% 83.83/53.46 tff(31507,plain,
% 83.83/53.46 (v117(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31506, 967, 31503])).
% 83.83/53.46 tff(31508,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31509,plain,
% 83.83/53.46 (((~v117(constB185)) | v116(constB185)) <=> (v116(constB185) | (~v117(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31510,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB185) | (~v117(constB185))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31509])).
% 83.83/53.46 tff(31511,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31510, 31508])).
% 83.83/53.46 tff(31512,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB185)) | v116(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31513,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB185) | (~v117(constB185))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 83.83/53.46 tff(31514,plain,
% 83.83/53.46 (v116(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31513, 200, 31507])).
% 83.83/53.46 tff(31515,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31516,plain,
% 83.83/53.46 (((~v116(constB185)) | v115(constB185)) <=> (v115(constB185) | (~v116(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31517,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB185) | (~v116(constB185))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31516])).
% 83.83/53.46 tff(31518,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31517, 31515])).
% 83.83/53.46 tff(31519,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB185)) | v115(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31520,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB185) | (~v116(constB185))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31519, 31518])).
% 83.83/53.46 tff(31521,plain,
% 83.83/53.46 (v115(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31520, 214, 31514])).
% 83.83/53.46 tff(31522,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31523,plain,
% 83.83/53.46 (((~v115(constB185)) | v114(constB185)) <=> (v114(constB185) | (~v115(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31524,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB185) | (~v115(constB185))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31523])).
% 83.83/53.46 tff(31525,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31524, 31522])).
% 83.83/53.46 tff(31526,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB185)) | v114(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31527,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB185) | (~v115(constB185))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31526, 31525])).
% 83.83/53.46 tff(31528,plain,
% 83.83/53.46 (v114(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31527, 228, 31521])).
% 83.83/53.46 tff(31529,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31530,plain,
% 83.83/53.46 (((~v114(constB185)) | v113(constB185)) <=> (v113(constB185) | (~v114(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31531,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB185) | (~v114(constB185))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31530])).
% 83.83/53.46 tff(31532,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31531, 31529])).
% 83.83/53.46 tff(31533,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB185)) | v113(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31534,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB185) | (~v114(constB185))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31533, 31532])).
% 83.83/53.46 tff(31535,plain,
% 83.83/53.46 (v113(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31534, 242, 31528])).
% 83.83/53.46 tff(31536,assumption,(v26(constB185)), introduced(assumption)).
% 83.83/53.46 tff(31537,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31538,plain,
% 83.83/53.46 ($false),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31537, 19, 31536])).
% 83.83/53.46 tff(31539,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.46 tff(31540,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31541,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31542,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31541, 31540])).
% 83.83/53.46 tff(31543,plain,
% 83.83/53.46 ((~v113(constB185)) | v112(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31542, 256, 31539])).
% 83.83/53.46 tff(31544,plain,
% 83.83/53.46 (v112(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31543, 31535])).
% 83.83/53.46 tff(31545,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31546,plain,
% 83.83/53.46 (((~v112(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v112(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31547,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v112(constB185))))),
% 83.83/53.46 inference(monotonicity,[status(thm)],[31546])).
% 83.83/53.46 tff(31548,plain,
% 83.83/53.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185)))),
% 83.83/53.46 inference(transitivity,[status(thm)],[31547, 31545])).
% 83.83/53.46 tff(31549,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB185)) | v108(constB185))),
% 83.83/53.46 inference(quant_inst,[status(thm)],[])).
% 83.83/53.46 tff(31550,plain,
% 83.83/53.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v112(constB185))),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 83.83/53.46 tff(31551,plain,
% 83.83/53.46 (v108(constB185)),
% 83.83/53.46 inference(unit_resolution,[status(thm)],[31550, 268, 31544])).
% 83.83/53.46 tff(31552,plain,
% 83.83/53.46 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31553,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 83.83/53.46 tff(31554,plain,
% 83.83/53.46 (nextState(constB185, constB186)),
% 83.83/53.46 inference(modus_ponens,[status(thm)],[31553, 31552])).
% 83.83/53.46 tff(31555,plain,
% 83.83/53.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 83.83/53.46 inference(rewrite,[status(thm)],[])).
% 83.83/53.46 tff(31556,plain,
% 83.83/53.46 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31557,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31556])).
% 83.83/53.47 tff(31558,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31557, 31555])).
% 83.83/53.47 tff(31559,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31560,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31559, 31558])).
% 83.83/53.47 tff(31561,plain,
% 83.83/53.47 (v110(constB186) | (~v108(constB185))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31560, 288, 31554])).
% 83.83/53.47 tff(31562,plain,
% 83.83/53.47 (v110(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31561, 31551])).
% 83.83/53.47 tff(31563,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31564,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31565,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 83.83/53.47 tff(31566,plain,
% 83.83/53.47 (~v104(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31565, 306, 31554, 31278])).
% 83.83/53.47 tff(31567,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31568,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31569,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 83.83/53.47 tff(31570,plain,
% 83.83/53.47 (v102(constB186) | v104(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31569, 320, 31554])).
% 83.83/53.47 tff(31571,plain,
% 83.83/53.47 (v102(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31570, 31566])).
% 83.83/53.47 tff(31572,plain,
% 83.83/53.47 (v1(constB186) <=> v1(constB186)),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31573,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 83.83/53.47 tff(31574,plain,
% 83.83/53.47 (v1(constB186)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31573, 31572])).
% 83.83/53.47 tff(31575,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31576,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31577,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 83.83/53.47 tff(31578,plain,
% 83.83/53.47 (v101(constB186) | (~v102(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31577, 338, 31554, 31574])).
% 83.83/53.47 tff(31579,plain,
% 83.83/53.47 (v101(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31578, 31571])).
% 83.83/53.47 tff(31580,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31581,plain,
% 83.83/53.47 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31582,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31581])).
% 83.83/53.47 tff(31583,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31582, 31580])).
% 83.83/53.47 tff(31584,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31585,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31584, 31583])).
% 83.83/53.47 tff(31586,plain,
% 83.83/53.47 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31585, 353, 31554])).
% 83.83/53.47 tff(31587,plain,
% 83.83/53.47 (v100(constB186) | (~v110(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31586, 31579])).
% 83.83/53.47 tff(31588,plain,
% 83.83/53.47 (v100(constB186)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31587, 31562])).
% 83.83/53.47 tff(31589,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31590,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB185)) | (~v130(constB185, 2)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31591,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB185)) | (~v130(constB185, 2))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31590, 31589])).
% 83.83/53.47 tff(31592,plain,
% 83.83/53.47 (~v130(constB185, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31591, 1052, 31503])).
% 83.83/53.47 tff(31593,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31594,plain,
% 83.83/53.47 ((v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2))) <=> ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31595,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31594])).
% 83.83/53.47 tff(31596,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31595, 31593])).
% 83.83/53.47 tff(31597,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB185) | v130(constB185, 2) | (~v127(constB185, 2)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31598,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB185, 2)) | v26(constB185) | v130(constB185, 2)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 83.83/53.47 tff(31599,plain,
% 83.83/53.47 ((~v127(constB185, 2)) | v130(constB185, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31598, 556, 31539])).
% 83.83/53.47 tff(31600,plain,
% 83.83/53.47 (~v127(constB185, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31599, 31592])).
% 83.83/53.47 tff(31601,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31602,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31603,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB185, constB186)) | v127(constB185, 2) | (~v129(constB186, 2))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31602, 31601])).
% 83.83/53.47 tff(31604,plain,
% 83.83/53.47 (v127(constB185, 2) | (~v129(constB186, 2))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31603, 574, 31554])).
% 83.83/53.47 tff(31605,plain,
% 83.83/53.47 (~v129(constB186, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31604, 31600])).
% 83.83/53.47 tff(31606,plain,
% 83.83/53.47 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31607,plain,
% 83.83/53.47 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31608,plain,
% 83.83/53.47 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB186, 2)) | v129(constB186, 2) | (~v100(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 83.83/53.47 tff(31609,plain,
% 83.83/53.47 ((~v90(constB186, 2)) | (~v100(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31608, 589, 31605])).
% 83.83/53.47 tff(31610,plain,
% 83.83/53.47 (~v90(constB186, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31609, 31588])).
% 83.83/53.47 tff(31611,plain,
% 83.83/53.47 ((~v1(constB187)) <=> (~v1(constB187))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31612,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 83.83/53.47 tff(31613,plain,
% 83.83/53.47 (~v1(constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31612, 31611])).
% 83.83/53.47 tff(31614,plain,
% 83.83/53.47 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31615,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 83.83/53.47 tff(31616,plain,
% 83.83/53.47 (nextState(constB186, constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31615, 31614])).
% 83.83/53.47 tff(31617,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31618,plain,
% 83.83/53.47 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31619,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31618])).
% 83.83/53.47 tff(31620,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31619, 31617])).
% 83.83/53.47 tff(31621,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31622,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 83.83/53.47 tff(31623,plain,
% 83.83/53.47 (~v101(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31622, 66, 31616, 31613])).
% 83.83/53.47 tff(31624,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31625,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31626,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 83.83/53.47 tff(31627,plain,
% 83.83/53.47 (v101(constB187) | (~v100(constB187))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31626, 83, 31616])).
% 83.83/53.47 tff(31628,plain,
% 83.83/53.47 (~v100(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31627, 31623])).
% 83.83/53.47 tff(31629,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31630,plain,
% 83.83/53.47 (((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))) <=> (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31631,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31630])).
% 83.83/53.47 tff(31632,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31631, 31629])).
% 83.83/53.47 tff(31633,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB186, constB187)) | v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31634,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB186, 2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, 2))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31633, 31632])).
% 83.83/53.47 tff(31635,plain,
% 83.83/53.47 (v90(constB186, 2) | v100(constB187) | (~v90(constB187, 2))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31634, 98, 31616])).
% 83.83/53.47 tff(31636,plain,
% 83.83/53.47 (v90(constB186, 2) | (~v90(constB187, 2))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31635, 31628])).
% 83.83/53.47 tff(31637,plain,
% 83.83/53.47 (~v90(constB187, 2)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31636, 31610])).
% 83.83/53.47 tff(31638,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31639,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB185)) | v130(constB185, 1))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31640,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB185)) | v130(constB185, 1)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31639, 31638])).
% 83.83/53.47 tff(31641,plain,
% 83.83/53.47 (v130(constB185, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31640, 1108, 31503])).
% 83.83/53.47 tff(31642,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31643,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31644,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB185) | (~v130(constB185, 1)) | v127(constB185, 1)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31643, 31642])).
% 83.83/53.47 tff(31645,plain,
% 83.83/53.47 ((~v130(constB185, 1)) | v127(constB185, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31644, 818, 31539])).
% 83.83/53.47 tff(31646,plain,
% 83.83/53.47 (v127(constB185, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31645, 31641])).
% 83.83/53.47 tff(31647,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31648,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31649,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB185, constB186)) | (~v127(constB185, 1)) | v129(constB186, 1)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 83.83/53.47 tff(31650,plain,
% 83.83/53.47 ((~v127(constB185, 1)) | v129(constB186, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31649, 833, 31554])).
% 83.83/53.47 tff(31651,plain,
% 83.83/53.47 (v129(constB186, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31650, 31646])).
% 83.83/53.47 tff(31652,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31653,plain,
% 83.83/53.47 ((v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1))) <=> (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31654,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31653])).
% 83.83/53.47 tff(31655,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31654, 31652])).
% 83.83/53.47 tff(31656,plain,
% 83.83/53.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB186, 1) | (~v100(constB186)) | (~v129(constB186, 1)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31657,plain,
% 83.83/53.47 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB186, 1) | (~v129(constB186, 1)) | (~v100(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 83.83/53.47 tff(31658,plain,
% 83.83/53.47 (v90(constB186, 1) | (~v100(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31657, 848, 31651])).
% 83.83/53.47 tff(31659,plain,
% 83.83/53.47 (v90(constB186, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31658, 31588])).
% 83.83/53.47 tff(31660,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31661,plain,
% 83.83/53.47 (((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)) <=> ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31662,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31661])).
% 83.83/53.47 tff(31663,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31662, 31660])).
% 83.83/53.47 tff(31664,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31665,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB186, 1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 1)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 83.83/53.47 tff(31666,plain,
% 83.83/53.47 ((~v90(constB186, 1)) | v100(constB187) | v90(constB187, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31665, 866, 31616])).
% 83.83/53.47 tff(31667,plain,
% 83.83/53.47 ((~v90(constB186, 1)) | v90(constB187, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31666, 31628])).
% 83.83/53.47 tff(31668,plain,
% 83.83/53.47 (v90(constB187, 1)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31667, 31659])).
% 83.83/53.47 tff(31669,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31670,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB185)) | v130(constB185, 0))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31671,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB185)) | v130(constB185, 0)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31670, 31669])).
% 83.83/53.47 tff(31672,plain,
% 83.83/53.47 (v130(constB185, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31671, 1146, 31503])).
% 83.83/53.47 tff(31673,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31674,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31675,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB185) | (~v130(constB185, 0)) | v127(constB185, 0)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 83.83/53.47 tff(31676,plain,
% 83.83/53.47 ((~v130(constB185, 0)) | v127(constB185, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31675, 478, 31539])).
% 83.83/53.47 tff(31677,plain,
% 83.83/53.47 (v127(constB185, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31676, 31672])).
% 83.83/53.47 tff(31678,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31679,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31680,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB185, constB186)) | (~v127(constB185, 0)) | v129(constB186, 0)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31679, 31678])).
% 83.83/53.47 tff(31681,plain,
% 83.83/53.47 ((~v127(constB185, 0)) | v129(constB186, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31680, 493, 31554])).
% 83.83/53.47 tff(31682,plain,
% 83.83/53.47 (v129(constB186, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31681, 31677])).
% 83.83/53.47 tff(31683,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31684,plain,
% 83.83/53.47 ((v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0))) <=> (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31685,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31684])).
% 83.83/53.47 tff(31686,plain,
% 83.83/53.47 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31685, 31683])).
% 83.83/53.47 tff(31687,plain,
% 83.83/53.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB186, 0) | (~v100(constB186)) | (~v129(constB186, 0)))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31688,plain,
% 83.83/53.47 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB186, 0) | (~v129(constB186, 0)) | (~v100(constB186))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 83.83/53.47 tff(31689,plain,
% 83.83/53.47 (v90(constB186, 0) | (~v100(constB186))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31688, 508, 31682])).
% 83.83/53.47 tff(31690,plain,
% 83.83/53.47 (v90(constB186, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31689, 31588])).
% 83.83/53.47 tff(31691,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31692,plain,
% 83.83/53.47 (((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)) <=> ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31693,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31692])).
% 83.83/53.47 tff(31694,plain,
% 83.83/53.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31693, 31691])).
% 83.83/53.47 tff(31695,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB186, constB187)) | (~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31696,plain,
% 83.83/53.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB186, 0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, 0)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31695, 31694])).
% 83.83/53.47 tff(31697,plain,
% 83.83/53.47 ((~v90(constB186, 0)) | v100(constB187) | v90(constB187, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31696, 526, 31616])).
% 83.83/53.47 tff(31698,plain,
% 83.83/53.47 ((~v90(constB186, 0)) | v90(constB187, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31697, 31628])).
% 83.83/53.47 tff(31699,plain,
% 83.83/53.47 (v90(constB187, 0)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31698, 31690])).
% 83.83/53.47 tff(31700,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31701,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31702,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB187, 0)) | (~v90(constB187, 1)) | v90(constB187, 2) | v122(constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31701, 31700])).
% 83.83/53.47 tff(31703,plain,
% 83.83/53.47 (v122(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31702, 1187, 31699, 31668, 31637])).
% 83.83/53.47 tff(31704,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB187)) | v116(constB187))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31705,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB187)) | v116(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31706,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB187)) | v116(constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 83.83/53.47 tff(31707,plain,
% 83.83/53.47 (v116(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31706, 1257, 31703])).
% 83.83/53.47 tff(31708,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB187)) | v115(constB187))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31709,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB187)) | v115(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31710,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB187)) | v115(constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31709, 31708])).
% 83.83/53.47 tff(31711,plain,
% 83.83/53.47 (v115(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31710, 214, 31707])).
% 83.83/53.47 tff(31712,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB187)) | v114(constB187))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31713,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB187)) | v114(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31714,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB187)) | v114(constB187)),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 83.83/53.47 tff(31715,plain,
% 83.83/53.47 (v114(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31714, 228, 31711])).
% 83.83/53.47 tff(31716,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31717,plain,
% 83.83/53.47 (((~v114(constB187)) | v113(constB187)) <=> (v113(constB187) | (~v114(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31718,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB187) | (~v114(constB187))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31717])).
% 83.83/53.47 tff(31719,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31718, 31716])).
% 83.83/53.47 tff(31720,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB187)) | v113(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31721,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB187) | (~v114(constB187))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31720, 31719])).
% 83.83/53.47 tff(31722,plain,
% 83.83/53.47 (v113(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31721, 242, 31715])).
% 83.83/53.47 tff(31723,assumption,(v26(constB187)), introduced(assumption)).
% 83.83/53.47 tff(31724,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31725,plain,
% 83.83/53.47 ($false),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31724, 19, 31723])).
% 83.83/53.47 tff(31726,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.47 tff(31727,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31728,plain,
% 83.83/53.47 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31729,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | v112(constB187) | (~v113(constB187))))),
% 83.83/53.47 inference(monotonicity,[status(thm)],[31728])).
% 83.83/53.47 tff(31730,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 83.83/53.47 inference(transitivity,[status(thm)],[31729, 31727])).
% 83.83/53.47 tff(31731,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 83.83/53.47 inference(quant_inst,[status(thm)],[])).
% 83.83/53.47 tff(31732,plain,
% 83.83/53.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 83.83/53.47 inference(modus_ponens,[status(thm)],[31731, 31730])).
% 83.83/53.47 tff(31733,plain,
% 83.83/53.47 (v112(constB187) | (~v113(constB187))),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31732, 256, 31726])).
% 83.83/53.47 tff(31734,plain,
% 83.83/53.47 (v112(constB187)),
% 83.83/53.47 inference(unit_resolution,[status(thm)],[31733, 31722])).
% 83.83/53.47 tff(31735,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31736,plain,
% 83.83/53.47 (((~v112(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v112(constB187)))),
% 83.83/53.47 inference(rewrite,[status(thm)],[])).
% 83.83/53.47 tff(31737,plain,
% 83.83/53.47 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v112(constB187))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31736])).
% 83.83/53.48 tff(31738,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31737, 31735])).
% 83.83/53.48 tff(31739,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB187)) | v108(constB187))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31740,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v112(constB187))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31739, 31738])).
% 83.83/53.48 tff(31741,plain,
% 83.83/53.48 (v108(constB187)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31740, 268, 31734])).
% 83.83/53.48 tff(31742,plain,
% 83.83/53.48 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31743,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 83.83/53.48 tff(31744,plain,
% 83.83/53.48 (nextState(constB187, constB188)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31743, 31742])).
% 83.83/53.48 tff(31745,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31746,plain,
% 83.83/53.48 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31747,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31746])).
% 83.83/53.48 tff(31748,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31747, 31745])).
% 83.83/53.48 tff(31749,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31750,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31749, 31748])).
% 83.83/53.48 tff(31751,plain,
% 83.83/53.48 (v110(constB188) | (~v108(constB187))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31750, 288, 31744])).
% 83.83/53.48 tff(31752,plain,
% 83.83/53.48 (v110(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31751, 31741])).
% 83.83/53.48 tff(31753,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31754,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31755,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 83.83/53.48 tff(31756,plain,
% 83.83/53.48 (~v104(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31755, 306, 31744, 31613])).
% 83.83/53.48 tff(31757,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31758,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31759,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31758, 31757])).
% 83.83/53.48 tff(31760,plain,
% 83.83/53.48 (v102(constB188) | v104(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31759, 320, 31744])).
% 83.83/53.48 tff(31761,plain,
% 83.83/53.48 (v102(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31760, 31756])).
% 83.83/53.48 tff(31762,plain,
% 83.83/53.48 (v1(constB188) <=> v1(constB188)),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31763,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 83.83/53.48 tff(31764,plain,
% 83.83/53.48 (v1(constB188)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 83.83/53.48 tff(31765,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31766,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31767,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 83.83/53.48 tff(31768,plain,
% 83.83/53.48 (v101(constB188) | (~v102(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31767, 338, 31744, 31764])).
% 83.83/53.48 tff(31769,plain,
% 83.83/53.48 (v101(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31768, 31761])).
% 83.83/53.48 tff(31770,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31771,plain,
% 83.83/53.48 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31772,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31771])).
% 83.83/53.48 tff(31773,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31772, 31770])).
% 83.83/53.48 tff(31774,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31775,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31774, 31773])).
% 83.83/53.48 tff(31776,plain,
% 83.83/53.48 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31775, 353, 31744])).
% 83.83/53.48 tff(31777,plain,
% 83.83/53.48 (v100(constB188) | (~v110(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31776, 31769])).
% 83.83/53.48 tff(31778,plain,
% 83.83/53.48 (v100(constB188)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31777, 31752])).
% 83.83/53.48 tff(31779,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31780,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB187)) | v130(constB187, 2))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31781,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB187)) | v130(constB187, 2)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 83.83/53.48 tff(31782,plain,
% 83.83/53.48 (v130(constB187, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31781, 1198, 31703])).
% 83.83/53.48 tff(31783,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31784,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31785,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB187) | (~v130(constB187, 2)) | v127(constB187, 2)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31784, 31783])).
% 83.83/53.48 tff(31786,plain,
% 83.83/53.48 ((~v130(constB187, 2)) | v127(constB187, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31785, 1212, 31726])).
% 83.83/53.48 tff(31787,plain,
% 83.83/53.48 (v127(constB187, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31786, 31782])).
% 83.83/53.48 tff(31788,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31789,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31790,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB187, constB188)) | (~v127(constB187, 2)) | v129(constB188, 2)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 83.83/53.48 tff(31791,plain,
% 83.83/53.48 ((~v127(constB187, 2)) | v129(constB188, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31790, 1230, 31744])).
% 83.83/53.48 tff(31792,plain,
% 83.83/53.48 (v129(constB188, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31791, 31787])).
% 83.83/53.48 tff(31793,plain,
% 83.83/53.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31794,plain,
% 83.83/53.48 ((v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2))) <=> (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31795,plain,
% 83.83/53.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31794])).
% 83.83/53.48 tff(31796,plain,
% 83.83/53.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31795, 31793])).
% 83.83/53.48 tff(31797,plain,
% 83.83/53.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB188, 2) | (~v100(constB188)) | (~v129(constB188, 2)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31798,plain,
% 83.83/53.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB188, 2) | (~v129(constB188, 2)) | (~v100(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31797, 31796])).
% 83.83/53.48 tff(31799,plain,
% 83.83/53.48 (v90(constB188, 2) | (~v100(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31798, 1338, 31792])).
% 83.83/53.48 tff(31800,plain,
% 83.83/53.48 (v90(constB188, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31799, 31778])).
% 83.83/53.48 tff(31801,plain,
% 83.83/53.48 ((~v1(constB189)) <=> (~v1(constB189))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31802,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 83.83/53.48 tff(31803,plain,
% 83.83/53.48 (~v1(constB189)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31802, 31801])).
% 83.83/53.48 tff(31804,plain,
% 83.83/53.48 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31805,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 83.83/53.48 tff(31806,plain,
% 83.83/53.48 (nextState(constB188, constB189)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31805, 31804])).
% 83.83/53.48 tff(31807,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31808,plain,
% 83.83/53.48 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31809,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31808])).
% 83.83/53.48 tff(31810,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31809, 31807])).
% 83.83/53.48 tff(31811,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31812,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 83.83/53.48 tff(31813,plain,
% 83.83/53.48 (~v101(constB189)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31812, 66, 31806, 31803])).
% 83.83/53.48 tff(31814,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31815,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31816,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 83.83/53.48 tff(31817,plain,
% 83.83/53.48 (v101(constB189) | (~v100(constB189))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31816, 83, 31806])).
% 83.83/53.48 tff(31818,plain,
% 83.83/53.48 (~v100(constB189)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31817, 31813])).
% 83.83/53.48 tff(31819,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31820,plain,
% 83.83/53.48 (((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)) <=> ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31821,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31820])).
% 83.83/53.48 tff(31822,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31821, 31819])).
% 83.83/53.48 tff(31823,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB188, constB189)) | (~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31824,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB188, 2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, 2)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31823, 31822])).
% 83.83/53.48 tff(31825,plain,
% 83.83/53.48 ((~v90(constB188, 2)) | v100(constB189) | v90(constB189, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31824, 1374, 31806])).
% 83.83/53.48 tff(31826,plain,
% 83.83/53.48 ((~v90(constB188, 2)) | v90(constB189, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31825, 31818])).
% 83.83/53.48 tff(31827,plain,
% 83.83/53.48 (v90(constB189, 2)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31826, 31800])).
% 83.83/53.48 tff(31828,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31829,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB187)) | (~v130(constB187, 1)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31830,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB187)) | (~v130(constB187, 1))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 83.83/53.48 tff(31831,plain,
% 83.83/53.48 (~v130(constB187, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31830, 1390, 31703])).
% 83.83/53.48 tff(31832,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31833,plain,
% 83.83/53.48 ((v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1))) <=> ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31834,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31833])).
% 83.83/53.48 tff(31835,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31834, 31832])).
% 83.83/53.48 tff(31836,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB187) | v130(constB187, 1) | (~v127(constB187, 1)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31837,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB187, 1)) | v26(constB187) | v130(constB187, 1)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31836, 31835])).
% 83.83/53.48 tff(31838,plain,
% 83.83/53.48 ((~v127(constB187, 1)) | v130(constB187, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31837, 383, 31726])).
% 83.83/53.48 tff(31839,plain,
% 83.83/53.48 (~v127(constB187, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31838, 31831])).
% 83.83/53.48 tff(31840,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31841,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31842,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB187, constB188)) | v127(constB187, 1) | (~v129(constB188, 1))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31841, 31840])).
% 83.83/53.48 tff(31843,plain,
% 83.83/53.48 (v127(constB187, 1) | (~v129(constB188, 1))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31842, 401, 31744])).
% 83.83/53.48 tff(31844,plain,
% 83.83/53.48 (~v129(constB188, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31843, 31839])).
% 83.83/53.48 tff(31845,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31846,plain,
% 83.83/53.48 (((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1)) <=> ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31847,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31846])).
% 83.83/53.48 tff(31848,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31847, 31845])).
% 83.83/53.48 tff(31849,plain,
% 83.83/53.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB188, 1)) | (~v100(constB188)) | v129(constB188, 1))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31850,plain,
% 83.83/53.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB188, 1)) | v129(constB188, 1) | (~v100(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 83.83/53.48 tff(31851,plain,
% 83.83/53.48 ((~v90(constB188, 1)) | (~v100(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31850, 416, 31844])).
% 83.83/53.48 tff(31852,plain,
% 83.83/53.48 (~v90(constB188, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31851, 31778])).
% 83.83/53.48 tff(31853,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31854,plain,
% 83.83/53.48 (((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))) <=> (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31855,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31854])).
% 83.83/53.48 tff(31856,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31855, 31853])).
% 83.83/53.48 tff(31857,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB188, constB189)) | v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31858,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB188, 1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 1))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31857, 31856])).
% 83.83/53.48 tff(31859,plain,
% 83.83/53.48 (v90(constB188, 1) | v100(constB189) | (~v90(constB189, 1))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31858, 119, 31806])).
% 83.83/53.48 tff(31860,plain,
% 83.83/53.48 (v90(constB188, 1) | (~v90(constB189, 1))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31859, 31818])).
% 83.83/53.48 tff(31861,plain,
% 83.83/53.48 (~v90(constB189, 1)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31860, 31852])).
% 83.83/53.48 tff(31862,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31863,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB187)) | (~v130(constB187, 0)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31864,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB187)) | (~v130(constB187, 0))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 83.83/53.48 tff(31865,plain,
% 83.83/53.48 (~v130(constB187, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31864, 1431, 31703])).
% 83.83/53.48 tff(31866,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31867,plain,
% 83.83/53.48 ((v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0))) <=> ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31868,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31867])).
% 83.83/53.48 tff(31869,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31868, 31866])).
% 83.83/53.48 tff(31870,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB187) | v130(constB187, 0) | (~v127(constB187, 0)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31871,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB187, 0)) | v26(constB187) | v130(constB187, 0)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31870, 31869])).
% 83.83/53.48 tff(31872,plain,
% 83.83/53.48 ((~v127(constB187, 0)) | v130(constB187, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31871, 896, 31726])).
% 83.83/53.48 tff(31873,plain,
% 83.83/53.48 (~v127(constB187, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31872, 31865])).
% 83.83/53.48 tff(31874,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31875,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31876,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB187, constB188)) | v127(constB187, 0) | (~v129(constB188, 0))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 83.83/53.48 tff(31877,plain,
% 83.83/53.48 (v127(constB187, 0) | (~v129(constB188, 0))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31876, 914, 31744])).
% 83.83/53.48 tff(31878,plain,
% 83.83/53.48 (~v129(constB188, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31877, 31873])).
% 83.83/53.48 tff(31879,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31880,plain,
% 83.83/53.48 (((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0)) <=> ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31881,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31880])).
% 83.83/53.48 tff(31882,plain,
% 83.83/53.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31881, 31879])).
% 83.83/53.48 tff(31883,plain,
% 83.83/53.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB188, 0)) | (~v100(constB188)) | v129(constB188, 0))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31884,plain,
% 83.83/53.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB188, 0)) | v129(constB188, 0) | (~v100(constB188))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31883, 31882])).
% 83.83/53.48 tff(31885,plain,
% 83.83/53.48 ((~v90(constB188, 0)) | (~v100(constB188))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31884, 929, 31878])).
% 83.83/53.48 tff(31886,plain,
% 83.83/53.48 (~v90(constB188, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31885, 31778])).
% 83.83/53.48 tff(31887,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31888,plain,
% 83.83/53.48 (((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))) <=> (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31889,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31888])).
% 83.83/53.48 tff(31890,plain,
% 83.83/53.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31889, 31887])).
% 83.83/53.48 tff(31891,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB188, constB189)) | v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0)))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31892,plain,
% 83.83/53.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB188, 0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, 0))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 83.83/53.48 tff(31893,plain,
% 83.83/53.48 (v90(constB188, 0) | v100(constB189) | (~v90(constB189, 0))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31892, 140, 31806])).
% 83.83/53.48 tff(31894,plain,
% 83.83/53.48 (v90(constB188, 0) | (~v90(constB189, 0))),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31893, 31818])).
% 83.83/53.48 tff(31895,plain,
% 83.83/53.48 (~v90(constB189, 0)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31894, 31886])).
% 83.83/53.48 tff(31896,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31897,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31898,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB189, 0) | v90(constB189, 1) | (~v90(constB189, 2)) | v123(constB189)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31897, 31896])).
% 83.83/53.48 tff(31899,plain,
% 83.83/53.48 (v123(constB189)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31898, 1475, 31895, 31861, 31827])).
% 83.83/53.48 tff(31900,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31901,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB189)) | v115(constB189))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31902,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB189)) | v115(constB189)),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 83.83/53.48 tff(31903,plain,
% 83.83/53.48 (v115(constB189)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31902, 1486, 31899])).
% 83.83/53.48 tff(31904,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31905,plain,
% 83.83/53.48 (((~v115(constB189)) | v114(constB189)) <=> (v114(constB189) | (~v115(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31906,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB189) | (~v115(constB189))))),
% 83.83/53.48 inference(monotonicity,[status(thm)],[31905])).
% 83.83/53.48 tff(31907,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189)))),
% 83.83/53.48 inference(transitivity,[status(thm)],[31906, 31904])).
% 83.83/53.48 tff(31908,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB189)) | v114(constB189))),
% 83.83/53.48 inference(quant_inst,[status(thm)],[])).
% 83.83/53.48 tff(31909,plain,
% 83.83/53.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB189) | (~v115(constB189))),
% 83.83/53.48 inference(modus_ponens,[status(thm)],[31908, 31907])).
% 83.83/53.48 tff(31910,plain,
% 83.83/53.48 (v114(constB189)),
% 83.83/53.48 inference(unit_resolution,[status(thm)],[31909, 228, 31903])).
% 83.83/53.48 tff(31911,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31912,plain,
% 83.83/53.48 (((~v114(constB189)) | v113(constB189)) <=> (v113(constB189) | (~v114(constB189)))),
% 83.83/53.48 inference(rewrite,[status(thm)],[])).
% 83.83/53.48 tff(31913,plain,
% 83.83/53.48 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB189) | (~v114(constB189))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31912])).
% 83.83/53.49 tff(31914,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31913, 31911])).
% 83.83/53.49 tff(31915,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB189)) | v113(constB189))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31916,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB189) | (~v114(constB189))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31915, 31914])).
% 83.83/53.49 tff(31917,plain,
% 83.83/53.49 (v113(constB189)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31916, 242, 31910])).
% 83.83/53.49 tff(31918,assumption,(v26(constB189)), introduced(assumption)).
% 83.83/53.49 tff(31919,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31920,plain,
% 83.83/53.49 ($false),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31919, 19, 31918])).
% 83.83/53.49 tff(31921,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 83.83/53.49 tff(31922,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31923,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31924,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31923, 31922])).
% 83.83/53.49 tff(31925,plain,
% 83.83/53.49 ((~v113(constB189)) | v112(constB189)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31924, 256, 31921])).
% 83.83/53.49 tff(31926,plain,
% 83.83/53.49 (v112(constB189)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31925, 31917])).
% 83.83/53.49 tff(31927,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31928,plain,
% 83.83/53.49 (((~v112(constB189)) | v108(constB189)) <=> (v108(constB189) | (~v112(constB189)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31929,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB189) | (~v112(constB189))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31928])).
% 83.83/53.49 tff(31930,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31929, 31927])).
% 83.83/53.49 tff(31931,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB189)) | v108(constB189))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31932,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB189) | (~v112(constB189))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31931, 31930])).
% 83.83/53.49 tff(31933,plain,
% 83.83/53.49 (v108(constB189)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31932, 268, 31926])).
% 83.83/53.49 tff(31934,plain,
% 83.83/53.49 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31935,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 83.83/53.49 tff(31936,plain,
% 83.83/53.49 (nextState(constB189, constB190)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 83.83/53.49 tff(31937,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31938,plain,
% 83.83/53.49 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31939,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31938])).
% 83.83/53.49 tff(31940,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31939, 31937])).
% 83.83/53.49 tff(31941,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31942,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 83.83/53.49 tff(31943,plain,
% 83.83/53.49 (v110(constB190) | (~v108(constB189))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31942, 288, 31936])).
% 83.83/53.49 tff(31944,plain,
% 83.83/53.49 (v110(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31943, 31933])).
% 83.83/53.49 tff(31945,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31946,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31947,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 83.83/53.49 tff(31948,plain,
% 83.83/53.49 (~v104(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31947, 306, 31936, 31803])).
% 83.83/53.49 tff(31949,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31950,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31951,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 83.83/53.49 tff(31952,plain,
% 83.83/53.49 (v102(constB190) | v104(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31951, 320, 31936])).
% 83.83/53.49 tff(31953,plain,
% 83.83/53.49 (v102(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31952, 31948])).
% 83.83/53.49 tff(31954,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31955,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31956,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31955, 31954])).
% 83.83/53.49 tff(31957,plain,
% 83.83/53.49 (v101(constB190) | (~v102(constB190))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31956, 338, 31936, 29608])).
% 83.83/53.49 tff(31958,plain,
% 83.83/53.49 (v101(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31957, 31953])).
% 83.83/53.49 tff(31959,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31960,plain,
% 83.83/53.49 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31961,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31960])).
% 83.83/53.49 tff(31962,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31961, 31959])).
% 83.83/53.49 tff(31963,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31964,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31963, 31962])).
% 83.83/53.49 tff(31965,plain,
% 83.83/53.49 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31964, 353, 31936])).
% 83.83/53.49 tff(31966,plain,
% 83.83/53.49 (v100(constB190) | (~v110(constB190))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31965, 31958])).
% 83.83/53.49 tff(31967,plain,
% 83.83/53.49 (v100(constB190)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31966, 31944])).
% 83.83/53.49 tff(31968,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31969,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB189)) | v130(constB189, 2))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31970,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB189)) | v130(constB189, 2)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31969, 31968])).
% 83.83/53.49 tff(31971,plain,
% 83.83/53.49 (v130(constB189, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31970, 1567, 31899])).
% 83.83/53.49 tff(31972,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31973,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31974,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB189) | (~v130(constB189, 2)) | v127(constB189, 2)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 83.83/53.49 tff(31975,plain,
% 83.83/53.49 ((~v130(constB189, 2)) | v127(constB189, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31974, 1212, 31921])).
% 83.83/53.49 tff(31976,plain,
% 83.83/53.49 (v127(constB189, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31975, 31971])).
% 83.83/53.49 tff(31977,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31978,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31979,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB189, constB190)) | (~v127(constB189, 2)) | v129(constB190, 2)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31978, 31977])).
% 83.83/53.49 tff(31980,plain,
% 83.83/53.49 ((~v127(constB189, 2)) | v129(constB190, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31979, 1230, 31936])).
% 83.83/53.49 tff(31981,plain,
% 83.83/53.49 (v129(constB190, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31980, 31976])).
% 83.83/53.49 tff(31982,plain,
% 83.83/53.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31983,plain,
% 83.83/53.49 ((v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2))) <=> (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31984,plain,
% 83.83/53.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31983])).
% 83.83/53.49 tff(31985,plain,
% 83.83/53.49 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31984, 31982])).
% 83.83/53.49 tff(31986,plain,
% 83.83/53.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB190, 2) | (~v100(constB190)) | (~v129(constB190, 2)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(31987,plain,
% 83.83/53.49 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB190, 2) | (~v129(constB190, 2)) | (~v100(constB190))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31986, 31985])).
% 83.83/53.49 tff(31988,plain,
% 83.83/53.49 (v90(constB190, 2) | (~v100(constB190))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31987, 1338, 31981])).
% 83.83/53.49 tff(31989,plain,
% 83.83/53.49 (v90(constB190, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[31988, 31967])).
% 83.83/53.49 tff(31990,plain,
% 83.83/53.49 ((~v1(constB191)) <=> (~v1(constB191))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31991,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 83.83/53.49 tff(31992,plain,
% 83.83/53.49 (~v1(constB191)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31991, 31990])).
% 83.83/53.49 tff(31993,plain,
% 83.83/53.49 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31994,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 83.83/53.49 tff(31995,plain,
% 83.83/53.49 (nextState(constB190, constB191)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 83.83/53.49 tff(31996,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31997,plain,
% 83.83/53.49 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(31998,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[31997])).
% 83.83/53.49 tff(31999,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[31998, 31996])).
% 83.83/53.49 tff(32000,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32001,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32000, 31999])).
% 83.83/53.49 tff(32002,plain,
% 83.83/53.49 (~v101(constB191)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32001, 66, 31995, 31992])).
% 83.83/53.49 tff(32003,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32004,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32005,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 83.83/53.49 tff(32006,plain,
% 83.83/53.49 (v101(constB191) | (~v100(constB191))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32005, 83, 31995])).
% 83.83/53.49 tff(32007,plain,
% 83.83/53.49 (~v100(constB191)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32006, 32002])).
% 83.83/53.49 tff(32008,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32009,plain,
% 83.83/53.49 (((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)) <=> ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32010,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[32009])).
% 83.83/53.49 tff(32011,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2))),
% 83.83/53.49 inference(transitivity,[status(thm)],[32010, 32008])).
% 83.83/53.49 tff(32012,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32013,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB190, 2)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 2)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32012, 32011])).
% 83.83/53.49 tff(32014,plain,
% 83.83/53.49 ((~v90(constB190, 2)) | v100(constB191) | v90(constB191, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32013, 1374, 31995])).
% 83.83/53.49 tff(32015,plain,
% 83.83/53.49 ((~v90(constB190, 2)) | v90(constB191, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32014, 32007])).
% 83.83/53.49 tff(32016,plain,
% 83.83/53.49 (v90(constB191, 2)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32015, 31989])).
% 83.83/53.49 tff(32017,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32018,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB189)) | (~v130(constB189, 1)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32019,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB189)) | (~v130(constB189, 1))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32018, 32017])).
% 83.83/53.49 tff(32020,plain,
% 83.83/53.49 (~v130(constB189, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32019, 1623, 31899])).
% 83.83/53.49 tff(32021,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32022,plain,
% 83.83/53.49 ((v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1))) <=> ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32023,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[32022])).
% 83.83/53.49 tff(32024,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1))),
% 83.83/53.49 inference(transitivity,[status(thm)],[32023, 32021])).
% 83.83/53.49 tff(32025,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB189) | v130(constB189, 1) | (~v127(constB189, 1)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32026,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB189, 1)) | v26(constB189) | v130(constB189, 1)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32025, 32024])).
% 83.83/53.49 tff(32027,plain,
% 83.83/53.49 ((~v127(constB189, 1)) | v130(constB189, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32026, 383, 31921])).
% 83.83/53.49 tff(32028,plain,
% 83.83/53.49 (~v127(constB189, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32027, 32020])).
% 83.83/53.49 tff(32029,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32030,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32031,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB189, constB190)) | v127(constB189, 1) | (~v129(constB190, 1))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 83.83/53.49 tff(32032,plain,
% 83.83/53.49 (v127(constB189, 1) | (~v129(constB190, 1))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32031, 401, 31936])).
% 83.83/53.49 tff(32033,plain,
% 83.83/53.49 (~v129(constB190, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32032, 32028])).
% 83.83/53.49 tff(32034,plain,
% 83.83/53.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32035,plain,
% 83.83/53.49 (((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1)) <=> ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32036,plain,
% 83.83/53.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[32035])).
% 83.83/53.49 tff(32037,plain,
% 83.83/53.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[32036, 32034])).
% 83.83/53.49 tff(32038,plain,
% 83.83/53.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB190, 1)) | (~v100(constB190)) | v129(constB190, 1))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32039,plain,
% 83.83/53.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB190, 1)) | v129(constB190, 1) | (~v100(constB190))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 83.83/53.49 tff(32040,plain,
% 83.83/53.49 ((~v90(constB190, 1)) | (~v100(constB190))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32039, 416, 32033])).
% 83.83/53.49 tff(32041,plain,
% 83.83/53.49 (~v90(constB190, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32040, 31967])).
% 83.83/53.49 tff(32042,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32043,plain,
% 83.83/53.49 (((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))) <=> (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32044,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))))),
% 83.83/53.49 inference(monotonicity,[status(thm)],[32043])).
% 83.83/53.49 tff(32045,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1)))),
% 83.83/53.49 inference(transitivity,[status(thm)],[32044, 32042])).
% 83.83/53.49 tff(32046,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB190, constB191)) | v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1)))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32047,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB190, 1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, 1))),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 83.83/53.49 tff(32048,plain,
% 83.83/53.49 (v90(constB190, 1) | v100(constB191) | (~v90(constB191, 1))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32047, 119, 31995])).
% 83.83/53.49 tff(32049,plain,
% 83.83/53.49 (v90(constB190, 1) | (~v90(constB191, 1))),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32048, 32007])).
% 83.83/53.49 tff(32050,plain,
% 83.83/53.49 (~v90(constB191, 1)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32049, 32041])).
% 83.83/53.49 tff(32051,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32052,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB189)) | v130(constB189, 0))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32053,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB189)) | v130(constB189, 0)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32052, 32051])).
% 83.83/53.49 tff(32054,plain,
% 83.83/53.49 (v130(constB189, 0)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32053, 1664, 31899])).
% 83.83/53.49 tff(32055,plain,
% 83.83/53.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32056,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0))),
% 83.83/53.49 inference(quant_inst,[status(thm)],[])).
% 83.83/53.49 tff(32057,plain,
% 83.83/53.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB189) | (~v130(constB189, 0)) | v127(constB189, 0)),
% 83.83/53.49 inference(modus_ponens,[status(thm)],[32056, 32055])).
% 83.83/53.49 tff(32058,plain,
% 83.83/53.49 ((~v130(constB189, 0)) | v127(constB189, 0)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32057, 478, 31921])).
% 83.83/53.49 tff(32059,plain,
% 83.83/53.49 (v127(constB189, 0)),
% 83.83/53.49 inference(unit_resolution,[status(thm)],[32058, 32054])).
% 83.83/53.49 tff(32060,plain,
% 83.83/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 83.83/53.49 inference(rewrite,[status(thm)],[])).
% 83.83/53.49 tff(32061,plain,
% 83.83/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0))),
% 83.93/53.49 inference(quant_inst,[status(thm)],[])).
% 83.93/53.49 tff(32062,plain,
% 83.93/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB189, constB190)) | (~v127(constB189, 0)) | v129(constB190, 0)),
% 83.93/53.49 inference(modus_ponens,[status(thm)],[32061, 32060])).
% 83.93/53.49 tff(32063,plain,
% 83.93/53.49 ((~v127(constB189, 0)) | v129(constB190, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32062, 493, 31936])).
% 83.93/53.49 tff(32064,plain,
% 83.93/53.49 (v129(constB190, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32063, 32059])).
% 83.93/53.49 tff(32065,plain,
% 83.93/53.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 83.93/53.49 inference(rewrite,[status(thm)],[])).
% 83.93/53.49 tff(32066,plain,
% 83.93/53.49 ((v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0))) <=> (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 83.93/53.49 inference(rewrite,[status(thm)],[])).
% 83.93/53.49 tff(32067,plain,
% 83.93/53.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))))),
% 83.93/53.49 inference(monotonicity,[status(thm)],[32066])).
% 83.93/53.49 tff(32068,plain,
% 83.93/53.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190)))),
% 83.93/53.49 inference(transitivity,[status(thm)],[32067, 32065])).
% 83.93/53.49 tff(32069,plain,
% 83.93/53.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB190, 0) | (~v100(constB190)) | (~v129(constB190, 0)))),
% 83.93/53.49 inference(quant_inst,[status(thm)],[])).
% 83.93/53.49 tff(32070,plain,
% 83.93/53.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB190, 0) | (~v129(constB190, 0)) | (~v100(constB190))),
% 83.93/53.49 inference(modus_ponens,[status(thm)],[32069, 32068])).
% 83.93/53.49 tff(32071,plain,
% 83.93/53.49 (v90(constB190, 0) | (~v100(constB190))),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32070, 508, 32064])).
% 83.93/53.49 tff(32072,plain,
% 83.93/53.49 (v90(constB190, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32071, 31967])).
% 83.93/53.49 tff(32073,plain,
% 83.93/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 83.93/53.49 inference(rewrite,[status(thm)],[])).
% 83.93/53.49 tff(32074,plain,
% 83.93/53.49 (((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)) <=> ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 83.93/53.49 inference(rewrite,[status(thm)],[])).
% 83.93/53.49 tff(32075,plain,
% 83.93/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)))),
% 83.93/53.49 inference(monotonicity,[status(thm)],[32074])).
% 83.93/53.49 tff(32076,plain,
% 83.93/53.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0))),
% 83.93/53.49 inference(transitivity,[status(thm)],[32075, 32073])).
% 83.93/53.49 tff(32077,plain,
% 83.93/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB190, constB191)) | (~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0))),
% 83.93/53.49 inference(quant_inst,[status(thm)],[])).
% 83.93/53.49 tff(32078,plain,
% 83.93/53.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB190, 0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, 0)),
% 83.93/53.49 inference(modus_ponens,[status(thm)],[32077, 32076])).
% 83.93/53.49 tff(32079,plain,
% 83.93/53.49 ((~v90(constB190, 0)) | v100(constB191) | v90(constB191, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32078, 526, 31995])).
% 83.93/53.49 tff(32080,plain,
% 83.93/53.49 ((~v90(constB190, 0)) | v90(constB191, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32079, 32007])).
% 83.93/53.49 tff(32081,plain,
% 83.93/53.49 (v90(constB191, 0)),
% 83.93/53.49 inference(unit_resolution,[status(thm)],[32080, 32072])).
% 83.93/53.49 tff(32082,plain,
% 83.93/53.49 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 83.93/53.49 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32083,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32084,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB191, 0)) | v90(constB191, 1) | (~v90(constB191, 2)) | v124(constB191)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 83.93/53.50 tff(32085,plain,
% 83.93/53.50 (v124(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32084, 1705, 32081, 32050, 32016])).
% 83.93/53.50 tff(32086,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v124(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32087,plain,
% 83.93/53.50 (((~v124(constB191)) | v114(constB191)) <=> (v114(constB191) | (~v124(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32088,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB191) | (~v124(constB191))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32087])).
% 83.93/53.50 tff(32089,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v124(constB191)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32088, 32086])).
% 83.93/53.50 tff(32090,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB191)) | v114(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32091,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB191) | (~v124(constB191))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 83.93/53.50 tff(32092,plain,
% 83.93/53.50 (v114(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32091, 1741, 32085])).
% 83.93/53.50 tff(32093,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB191) | (~v114(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32094,plain,
% 83.93/53.50 (((~v114(constB191)) | v113(constB191)) <=> (v113(constB191) | (~v114(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32095,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB191) | (~v114(constB191))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32094])).
% 83.93/53.50 tff(32096,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB191) | (~v114(constB191)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32095, 32093])).
% 83.93/53.50 tff(32097,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB191)) | v113(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32098,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB191) | (~v114(constB191))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 83.93/53.50 tff(32099,plain,
% 83.93/53.50 (v113(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32098, 242, 32092])).
% 83.93/53.50 tff(32100,assumption,(v26(constB191)), introduced(assumption)).
% 83.93/53.50 tff(32101,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32102,plain,
% 83.93/53.50 ($false),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32101, 19, 32100])).
% 83.93/53.50 tff(32103,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.50 tff(32104,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32105,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32106,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 83.93/53.50 tff(32107,plain,
% 83.93/53.50 ((~v113(constB191)) | v112(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32106, 256, 32103])).
% 83.93/53.50 tff(32108,plain,
% 83.93/53.50 (v112(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32107, 32099])).
% 83.93/53.50 tff(32109,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32110,plain,
% 83.93/53.50 (((~v112(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v112(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32111,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v112(constB191))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32110])).
% 83.93/53.50 tff(32112,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32111, 32109])).
% 83.93/53.50 tff(32113,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB191)) | v108(constB191))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32114,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v112(constB191))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 83.93/53.50 tff(32115,plain,
% 83.93/53.50 (v108(constB191)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32114, 268, 32108])).
% 83.93/53.50 tff(32116,plain,
% 83.93/53.50 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32117,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 83.93/53.50 tff(32118,plain,
% 83.93/53.50 (nextState(constB191, constB192)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32117, 32116])).
% 83.93/53.50 tff(32119,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32120,plain,
% 83.93/53.50 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32121,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32120])).
% 83.93/53.50 tff(32122,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32121, 32119])).
% 83.93/53.50 tff(32123,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32124,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32123, 32122])).
% 83.93/53.50 tff(32125,plain,
% 83.93/53.50 (v110(constB192) | (~v108(constB191))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32124, 288, 32118])).
% 83.93/53.50 tff(32126,plain,
% 83.93/53.50 (v110(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32125, 32115])).
% 83.93/53.50 tff(32127,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32128,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32129,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 83.93/53.50 tff(32130,plain,
% 83.93/53.50 (~v104(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32129, 306, 32118, 31992])).
% 83.93/53.50 tff(32131,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32132,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32133,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 83.93/53.50 tff(32134,plain,
% 83.93/53.50 (v102(constB192) | v104(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32133, 320, 32118])).
% 83.93/53.50 tff(32135,plain,
% 83.93/53.50 (v102(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32134, 32130])).
% 83.93/53.50 tff(32136,plain,
% 83.93/53.50 (v1(constB192) <=> v1(constB192)),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32137,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 83.93/53.50 tff(32138,plain,
% 83.93/53.50 (v1(constB192)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 83.93/53.50 tff(32139,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32140,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32141,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 83.93/53.50 tff(32142,plain,
% 83.93/53.50 (v101(constB192) | (~v102(constB192))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32141, 338, 32118, 32138])).
% 83.93/53.50 tff(32143,plain,
% 83.93/53.50 (v101(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32142, 32135])).
% 83.93/53.50 tff(32144,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32145,plain,
% 83.93/53.50 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32146,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32145])).
% 83.93/53.50 tff(32147,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32146, 32144])).
% 83.93/53.50 tff(32148,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32149,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32148, 32147])).
% 83.93/53.50 tff(32150,plain,
% 83.93/53.50 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32149, 353, 32118])).
% 83.93/53.50 tff(32151,plain,
% 83.93/53.50 (v100(constB192) | (~v110(constB192))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32150, 32143])).
% 83.93/53.50 tff(32152,plain,
% 83.93/53.50 (v100(constB192)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32151, 32126])).
% 83.93/53.50 tff(32153,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32154,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB191)) | (~v130(constB191, 0)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32155,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB191)) | (~v130(constB191, 0))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 83.93/53.50 tff(32156,plain,
% 83.93/53.50 (~v130(constB191, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32155, 1882, 32085])).
% 83.93/53.50 tff(32157,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32158,plain,
% 83.93/53.50 ((v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0))) <=> ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32159,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32158])).
% 83.93/53.50 tff(32160,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32159, 32157])).
% 83.93/53.50 tff(32161,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB191) | v130(constB191, 0) | (~v127(constB191, 0)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32162,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB191, 0)) | v26(constB191) | v130(constB191, 0)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32161, 32160])).
% 83.93/53.50 tff(32163,plain,
% 83.93/53.50 ((~v127(constB191, 0)) | v130(constB191, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32162, 896, 32103])).
% 83.93/53.50 tff(32164,plain,
% 83.93/53.50 (~v127(constB191, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32163, 32156])).
% 83.93/53.50 tff(32165,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32166,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32167,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB191, constB192)) | v127(constB191, 0) | (~v129(constB192, 0))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32166, 32165])).
% 83.93/53.50 tff(32168,plain,
% 83.93/53.50 (v127(constB191, 0) | (~v129(constB192, 0))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32167, 914, 32118])).
% 83.93/53.50 tff(32169,plain,
% 83.93/53.50 (~v129(constB192, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32168, 32164])).
% 83.93/53.50 tff(32170,plain,
% 83.93/53.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32171,plain,
% 83.93/53.50 (((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0)) <=> ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32172,plain,
% 83.93/53.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32171])).
% 83.93/53.50 tff(32173,plain,
% 83.93/53.50 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32172, 32170])).
% 83.93/53.50 tff(32174,plain,
% 83.93/53.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB192, 0)) | (~v100(constB192)) | v129(constB192, 0))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32175,plain,
% 83.93/53.50 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB192, 0)) | v129(constB192, 0) | (~v100(constB192))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32174, 32173])).
% 83.93/53.50 tff(32176,plain,
% 83.93/53.50 ((~v90(constB192, 0)) | (~v100(constB192))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32175, 929, 32169])).
% 83.93/53.50 tff(32177,plain,
% 83.93/53.50 (~v90(constB192, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32176, 32152])).
% 83.93/53.50 tff(32178,plain,
% 83.93/53.50 ((~v1(constB193)) <=> (~v1(constB193))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32179,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 83.93/53.50 tff(32180,plain,
% 83.93/53.50 (~v1(constB193)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32179, 32178])).
% 83.93/53.50 tff(32181,plain,
% 83.93/53.50 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32182,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 83.93/53.50 tff(32183,plain,
% 83.93/53.50 (nextState(constB192, constB193)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32182, 32181])).
% 83.93/53.50 tff(32184,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32185,plain,
% 83.93/53.50 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32186,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32185])).
% 83.93/53.50 tff(32187,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32186, 32184])).
% 83.93/53.50 tff(32188,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32189,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32188, 32187])).
% 83.93/53.50 tff(32190,plain,
% 83.93/53.50 (~v101(constB193)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32189, 66, 32183, 32180])).
% 83.93/53.50 tff(32191,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32192,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32193,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32192, 32191])).
% 83.93/53.50 tff(32194,plain,
% 83.93/53.50 (v101(constB193) | (~v100(constB193))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32193, 83, 32183])).
% 83.93/53.50 tff(32195,plain,
% 83.93/53.50 (~v100(constB193)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32194, 32190])).
% 83.93/53.50 tff(32196,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32197,plain,
% 83.93/53.50 (((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))) <=> (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32198,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32197])).
% 83.93/53.50 tff(32199,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32198, 32196])).
% 83.93/53.50 tff(32200,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB192, constB193)) | v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32201,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB192, 0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, 0))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32200, 32199])).
% 83.93/53.50 tff(32202,plain,
% 83.93/53.50 (v90(constB192, 0) | v100(constB193) | (~v90(constB193, 0))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32201, 140, 32183])).
% 83.93/53.50 tff(32203,plain,
% 83.93/53.50 (v90(constB192, 0) | (~v90(constB193, 0))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32202, 32195])).
% 83.93/53.50 tff(32204,plain,
% 83.93/53.50 (~v90(constB193, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32203, 32177])).
% 83.93/53.50 tff(32205,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32206,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB193, 0)) | v90(constB193, 0))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32207,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB193, 0)) | v90(constB193, 0)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32206, 32205])).
% 83.93/53.50 tff(32208,plain,
% 83.93/53.50 (~v88(constB193, 0)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32207, 3705, 32204])).
% 83.93/53.50 tff(32209,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32210,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB191)) | v130(constB191, 2))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32211,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB191)) | v130(constB191, 2)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32210, 32209])).
% 83.93/53.50 tff(32212,plain,
% 83.93/53.50 (v130(constB191, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32211, 1716, 32085])).
% 83.93/53.50 tff(32213,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32214,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32215,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB191) | (~v130(constB191, 2)) | v127(constB191, 2)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32214, 32213])).
% 83.93/53.50 tff(32216,plain,
% 83.93/53.50 ((~v130(constB191, 2)) | v127(constB191, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32215, 1212, 32103])).
% 83.93/53.50 tff(32217,plain,
% 83.93/53.50 (v127(constB191, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32216, 32212])).
% 83.93/53.50 tff(32218,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32219,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32220,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB191, constB192)) | (~v127(constB191, 2)) | v129(constB192, 2)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32219, 32218])).
% 83.93/53.50 tff(32221,plain,
% 83.93/53.50 ((~v127(constB191, 2)) | v129(constB192, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32220, 1230, 32118])).
% 83.93/53.50 tff(32222,plain,
% 83.93/53.50 (v129(constB192, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32221, 32217])).
% 83.93/53.50 tff(32223,plain,
% 83.93/53.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32224,plain,
% 83.93/53.50 ((v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2))) <=> (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32225,plain,
% 83.93/53.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32224])).
% 83.93/53.50 tff(32226,plain,
% 83.93/53.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192)))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32225, 32223])).
% 83.93/53.50 tff(32227,plain,
% 83.93/53.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB192, 2) | (~v100(constB192)) | (~v129(constB192, 2)))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32228,plain,
% 83.93/53.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB192, 2) | (~v129(constB192, 2)) | (~v100(constB192))),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 83.93/53.50 tff(32229,plain,
% 83.93/53.50 (v90(constB192, 2) | (~v100(constB192))),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32228, 1338, 32222])).
% 83.93/53.50 tff(32230,plain,
% 83.93/53.50 (v90(constB192, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32229, 32152])).
% 83.93/53.50 tff(32231,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32232,plain,
% 83.93/53.50 (((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)) <=> ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32233,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)))),
% 83.93/53.50 inference(monotonicity,[status(thm)],[32232])).
% 83.93/53.50 tff(32234,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2))),
% 83.93/53.50 inference(transitivity,[status(thm)],[32233, 32231])).
% 83.93/53.50 tff(32235,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32236,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB192, 2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 2)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32235, 32234])).
% 83.93/53.50 tff(32237,plain,
% 83.93/53.50 ((~v90(constB192, 2)) | v100(constB193) | v90(constB193, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32236, 1374, 32183])).
% 83.93/53.50 tff(32238,plain,
% 83.93/53.50 ((~v90(constB192, 2)) | v90(constB193, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32237, 32195])).
% 83.93/53.50 tff(32239,plain,
% 83.93/53.50 (v90(constB193, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32238, 32230])).
% 83.93/53.50 tff(32240,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32241,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB193, 2)) | v88(constB193, 2))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32242,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB193, 2)) | v88(constB193, 2)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32241, 32240])).
% 83.93/53.50 tff(32243,plain,
% 83.93/53.50 (v88(constB193, 2)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32242, 3716, 32239])).
% 83.93/53.50 tff(32244,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32245,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB191)) | v130(constB191, 1))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32246,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB191)) | v130(constB191, 1)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32245, 32244])).
% 83.93/53.50 tff(32247,plain,
% 83.93/53.50 (v130(constB191, 1)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32246, 1767, 32085])).
% 83.93/53.50 tff(32248,plain,
% 83.93/53.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32249,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32250,plain,
% 83.93/53.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB191) | (~v130(constB191, 1)) | v127(constB191, 1)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 83.93/53.50 tff(32251,plain,
% 83.93/53.50 ((~v130(constB191, 1)) | v127(constB191, 1)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32250, 818, 32103])).
% 83.93/53.50 tff(32252,plain,
% 83.93/53.50 (v127(constB191, 1)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32251, 32247])).
% 83.93/53.50 tff(32253,plain,
% 83.93/53.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32254,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1))),
% 83.93/53.50 inference(quant_inst,[status(thm)],[])).
% 83.93/53.50 tff(32255,plain,
% 83.93/53.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB191, constB192)) | (~v127(constB191, 1)) | v129(constB192, 1)),
% 83.93/53.50 inference(modus_ponens,[status(thm)],[32254, 32253])).
% 83.93/53.50 tff(32256,plain,
% 83.93/53.50 ((~v127(constB191, 1)) | v129(constB192, 1)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32255, 833, 32118])).
% 83.93/53.50 tff(32257,plain,
% 83.93/53.50 (v129(constB192, 1)),
% 83.93/53.50 inference(unit_resolution,[status(thm)],[32256, 32252])).
% 83.93/53.50 tff(32258,plain,
% 83.93/53.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32259,plain,
% 83.93/53.50 ((v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1))) <=> (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 83.93/53.50 inference(rewrite,[status(thm)],[])).
% 83.93/53.50 tff(32260,plain,
% 83.93/53.50 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32259])).
% 83.93/53.51 tff(32261,plain,
% 83.93/53.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192)))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32260, 32258])).
% 83.93/53.51 tff(32262,plain,
% 83.93/53.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB192, 1) | (~v100(constB192)) | (~v129(constB192, 1)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32263,plain,
% 83.93/53.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB192, 1) | (~v129(constB192, 1)) | (~v100(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32262, 32261])).
% 83.93/53.51 tff(32264,plain,
% 83.93/53.51 (v90(constB192, 1) | (~v100(constB192))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32263, 848, 32257])).
% 83.93/53.51 tff(32265,plain,
% 83.93/53.51 (v90(constB192, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32264, 32152])).
% 83.93/53.51 tff(32266,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32267,plain,
% 83.93/53.51 (((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)) <=> ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32268,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32267])).
% 83.93/53.51 tff(32269,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32268, 32266])).
% 83.93/53.51 tff(32270,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB192, constB193)) | (~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32271,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB192, 1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, 1)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 83.93/53.51 tff(32272,plain,
% 83.93/53.51 ((~v90(constB192, 1)) | v100(constB193) | v90(constB193, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32271, 866, 32183])).
% 83.93/53.51 tff(32273,plain,
% 83.93/53.51 ((~v90(constB192, 1)) | v90(constB193, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32272, 32195])).
% 83.93/53.51 tff(32274,plain,
% 83.93/53.51 (v90(constB193, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32273, 32265])).
% 83.93/53.51 tff(32275,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32276,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB193, 1)) | v88(constB193, 1))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32277,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB193, 1)) | v88(constB193, 1)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 83.93/53.51 tff(32278,plain,
% 83.93/53.51 (v88(constB193, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32277, 3727, 32274])).
% 83.93/53.51 tff(32279,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32280,plain,
% 83.93/53.51 (((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193)) <=> (v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32281,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1))))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32280])).
% 83.93/53.51 tff(32282,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1)))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32281, 32279])).
% 83.93/53.51 tff(32283,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB193, 2)) | (~v88(constB193, 1)) | v88(constB193, 0) | v144(constB193))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32284,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB193, 0) | v144(constB193) | (~v88(constB193, 2)) | (~v88(constB193, 1))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32283, 32282])).
% 83.93/53.51 tff(32285,plain,
% 83.93/53.51 (v144(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32284, 3741, 32278, 32243, 32208])).
% 83.93/53.51 tff(32286,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32287,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB193)) | v142(constB193))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32288,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB193)) | v142(constB193)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32287, 32286])).
% 83.93/53.51 tff(32289,plain,
% 83.93/53.51 (v142(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32288, 3755, 32285])).
% 83.93/53.51 tff(32290,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB193)) | v148(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB193)) | v148(constB193))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32291,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB193)) | v148(constB193))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32292,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (~v142(constB193)) | v148(constB193)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 83.93/53.51 tff(32293,plain,
% 83.93/53.51 (v148(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32292, 15914, 32289])).
% 83.93/53.51 tff(32294,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB193)) | v227(constB193))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB193)) | v227(constB193))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32295,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB193)) | v227(constB193))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32296,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB193)) | v227(constB193)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 83.93/53.51 tff(32297,plain,
% 83.93/53.51 (v227(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32296, 3766, 32289])).
% 83.93/53.51 tff(32298,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB193) | (~v227(constB193)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB193) | (~v227(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32299,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB193) | (~v227(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32300,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB193) | (~v227(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32299, 32298])).
% 83.93/53.51 tff(32301,plain,
% 83.93/53.51 (v226(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32300, 3517, 32297])).
% 83.93/53.51 tff(32302,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB193) | (~v226(constB193)) | (~v148(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB193) | (~v226(constB193)) | (~v148(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32303,plain,
% 83.93/53.51 (((~v148(constB193)) | v86(constB193) | (~v226(constB193))) <=> (v86(constB193) | (~v226(constB193)) | (~v148(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32304,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v226(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB193) | (~v226(constB193)) | (~v148(constB193))))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32303])).
% 83.93/53.51 tff(32305,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v226(constB193)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB193) | (~v226(constB193)) | (~v148(constB193)))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32304, 32302])).
% 83.93/53.51 tff(32306,plain,
% 83.93/53.51 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB193)) | v86(constB193) | (~v226(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32307,plain,
% 83.93/53.51 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB193) | (~v226(constB193)) | (~v148(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 83.93/53.51 tff(32308,plain,
% 83.93/53.51 (v86(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32307, 15936, 32301, 32293])).
% 83.93/53.51 tff(32309,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB193)) | (~v86(constB193)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB193)) | (~v86(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32310,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB193)) | (~v86(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32311,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB193)) | (~v86(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32310, 32309])).
% 83.93/53.51 tff(32312,plain,
% 83.93/53.51 (~v295(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32311, 15950, 32308])).
% 83.93/53.51 tff(32313,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB193) | (~v294(constB193)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB193) | (~v294(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32314,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB193) | (~v294(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32315,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB193) | (~v294(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32314, 32313])).
% 83.93/53.51 tff(32316,plain,
% 83.93/53.51 (~v294(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32315, 15964, 32312])).
% 83.93/53.51 tff(32317,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB193) | (~v307(constB193)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB193) | (~v307(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32318,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB193) | (~v307(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32319,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB193) | (~v307(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32318, 32317])).
% 83.93/53.51 tff(32320,plain,
% 83.93/53.51 (~v307(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32319, 22640, 32316])).
% 83.93/53.51 tff(32321,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB191, 2)) | v88(constB191, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB191, 2)) | v88(constB191, 2))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32322,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB191, 2)) | v88(constB191, 2))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32323,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB191, 2)) | v88(constB191, 2)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 83.93/53.51 tff(32324,plain,
% 83.93/53.51 (v88(constB191, 2)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32323, 3716, 32016])).
% 83.93/53.51 tff(32325,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB191)) | (~v88(constB191, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB191)) | (~v88(constB191, 2)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32326,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB191)) | (~v88(constB191, 2)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32327,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB191)) | (~v88(constB191, 2))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32326, 32325])).
% 83.93/53.51 tff(32328,plain,
% 83.93/53.51 (~v140(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32327, 4044, 32324])).
% 83.93/53.51 tff(32329,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB191, 0)) | v88(constB191, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB191, 0)) | v88(constB191, 0))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32330,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB191, 0)) | v88(constB191, 0))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32331,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB191, 0)) | v88(constB191, 0)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 83.93/53.51 tff(32332,plain,
% 83.93/53.51 (v88(constB191, 0)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32331, 3447, 32081])).
% 83.93/53.51 tff(32333,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB191)) | (~v88(constB191, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB191)) | (~v88(constB191, 0)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32334,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB191)) | (~v88(constB191, 0)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32335,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB191)) | (~v88(constB191, 0))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32334, 32333])).
% 83.93/53.51 tff(32336,plain,
% 83.93/53.51 (~v139(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32335, 4059, 32332])).
% 83.93/53.51 tff(32337,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB191) | v140(constB191) | (~v168(constB191)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB191) | v140(constB191) | (~v168(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32338,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB191) | v140(constB191) | (~v168(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32339,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB191) | v140(constB191) | (~v168(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 83.93/53.51 tff(32340,plain,
% 83.93/53.51 (~v168(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32339, 3983, 32336, 32328])).
% 83.93/53.51 tff(32341,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB191, 1)) | v90(constB191, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB191, 1)) | v90(constB191, 1))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32342,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB191, 1)) | v90(constB191, 1))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32343,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB191, 1)) | v90(constB191, 1)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 83.93/53.51 tff(32344,plain,
% 83.93/53.51 (~v88(constB191, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32343, 3405, 32050])).
% 83.93/53.51 tff(32345,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32346,plain,
% 83.93/53.51 (((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191)) <=> (v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32347,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191)))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32346])).
% 83.93/53.51 tff(32348,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32347, 32345])).
% 83.93/53.51 tff(32349,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB191, 2)) | v88(constB191, 1) | (~v88(constB191, 0)) | v147(constB191))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32350,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB191, 1) | (~v88(constB191, 2)) | (~v88(constB191, 0)) | v147(constB191)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32349, 32348])).
% 83.93/53.51 tff(32351,plain,
% 83.93/53.51 (v147(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32350, 4081, 32332, 32324, 32344])).
% 83.93/53.51 tff(32352,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB191)) | v145(constB191))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB191)) | v145(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32353,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB191)) | v145(constB191))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32354,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB191)) | v145(constB191)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32353, 32352])).
% 83.93/53.51 tff(32355,plain,
% 83.93/53.51 (v145(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32354, 4095, 32351])).
% 83.93/53.51 tff(32356,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB191) | (~v145(constB191)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB191) | (~v145(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32357,plain,
% 83.93/53.51 (((~v145(constB191)) | v226(constB191)) <=> (v226(constB191) | (~v145(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32358,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB191)) | v226(constB191))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB191) | (~v145(constB191))))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32357])).
% 83.93/53.51 tff(32359,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB191)) | v226(constB191))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB191) | (~v145(constB191)))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32358, 32356])).
% 83.93/53.51 tff(32360,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB191)) | v226(constB191))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32361,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB191) | (~v145(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32360, 32359])).
% 83.93/53.51 tff(32362,plain,
% 83.93/53.51 (v226(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32361, 4106, 32355])).
% 83.93/53.51 tff(32363,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB191)) | (~v226(constB191)) | v168(constB191))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32364,plain,
% 83.93/53.51 (((~v226(constB191)) | v168(constB191) | (~v161(constB191))) <=> ((~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32365,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB191)) | v168(constB191) | (~v161(constB191)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB191)) | (~v226(constB191)) | v168(constB191)))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32364])).
% 83.93/53.51 tff(32366,plain,
% 83.93/53.51 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB191)) | v168(constB191) | (~v161(constB191)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32365, 32363])).
% 83.93/53.51 tff(32367,plain,
% 83.93/53.51 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB191)) | v168(constB191) | (~v161(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32368,plain,
% 83.93/53.51 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB191)) | (~v226(constB191)) | v168(constB191)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32367, 32366])).
% 83.93/53.51 tff(32369,plain,
% 83.93/53.51 (~v161(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32368, 3997, 32362, 32340])).
% 83.93/53.51 tff(32370,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32371,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB191) | (~v187(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32372,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB191) | (~v187(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32371, 32370])).
% 83.93/53.51 tff(32373,plain,
% 83.93/53.51 (~v187(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32372, 4015, 32369])).
% 83.93/53.51 tff(32374,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32375,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB191) | (~v185(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32376,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB191) | (~v185(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 83.93/53.51 tff(32377,plain,
% 83.93/53.51 (~v185(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32376, 4029, 32373])).
% 83.93/53.51 tff(32378,assumption,(v18(constB192)), introduced(assumption)).
% 83.93/53.51 tff(32379,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB192))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32380,plain,
% 83.93/53.51 ($false),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32379, 3600, 32378])).
% 83.93/53.51 tff(32381,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.51 tff(32382,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32383,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32384,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32383, 32382])).
% 83.93/53.51 tff(32385,plain,
% 83.93/53.51 (v22(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32384, 3613, 32138])).
% 83.93/53.51 tff(32386,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32387,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32388,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32387, 32386])).
% 83.93/53.51 tff(32389,plain,
% 83.93/53.51 (v18(constB192) | (~v19(constB192))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32388, 3627, 32385])).
% 83.93/53.51 tff(32390,plain,
% 83.93/53.51 (~v19(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32389, 32381])).
% 83.93/53.51 tff(32391,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32392,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32393,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 83.93/53.51 tff(32394,plain,
% 83.93/53.51 (v13(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32393, 3639, 32390])).
% 83.93/53.51 tff(32395,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32396,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32397,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 83.93/53.51 tff(32398,plain,
% 83.93/53.51 (v9(constB191) | (~v13(constB192))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32397, 3653, 32118])).
% 83.93/53.51 tff(32399,plain,
% 83.93/53.51 (v9(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32398, 32394])).
% 83.93/53.51 tff(32400,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32401,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v184(constB191))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32402,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB191) | (~v9(constB191)) | v184(constB191)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32401, 32400])).
% 83.93/53.51 tff(32403,plain,
% 83.93/53.51 ((~v9(constB191)) | v184(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32402, 3668, 31992])).
% 83.93/53.51 tff(32404,plain,
% 83.93/53.51 (v184(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32403, 32399])).
% 83.93/53.51 tff(32405,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB191)) | v183(constB191))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB191)) | v183(constB191))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32406,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB191)) | v183(constB191))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32407,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB191)) | v183(constB191)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32406, 32405])).
% 83.93/53.51 tff(32408,plain,
% 83.93/53.51 (v183(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32407, 3680, 32404])).
% 83.93/53.51 tff(32409,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB191)) | (~v183(constB191)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB191)) | (~v183(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32410,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB191)) | (~v183(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32411,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB191)) | (~v183(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32410, 32409])).
% 83.93/53.51 tff(32412,plain,
% 83.93/53.51 (~v181(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32411, 4247, 32408])).
% 83.93/53.51 tff(32413,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32414,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB191) | v185(constB191) | (~v178(constB191)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32415,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB191) | v185(constB191) | (~v178(constB191))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32414, 32413])).
% 83.93/53.51 tff(32416,plain,
% 83.93/53.51 (v185(constB191) | (~v178(constB191))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32415, 4261, 32412])).
% 83.93/53.51 tff(32417,plain,
% 83.93/53.51 (~v178(constB191)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32416, 32377])).
% 83.93/53.51 tff(32418,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32419,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32420,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB191, constB192)) | v178(constB191) | (~v180(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32419, 32418])).
% 83.93/53.51 tff(32421,plain,
% 83.93/53.51 (v178(constB191) | (~v180(constB192))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32420, 4276, 32118])).
% 83.93/53.51 tff(32422,plain,
% 83.93/53.51 (~v180(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32421, 32417])).
% 83.93/53.51 tff(32423,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32424,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB192) | (~v181(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32425,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB192) | (~v181(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 83.93/53.51 tff(32426,plain,
% 83.93/53.51 (~v181(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32425, 4291, 32422])).
% 83.93/53.51 tff(32427,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32428,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB192)) | (~v184(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32429,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB192)) | (~v184(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32428, 32427])).
% 83.93/53.51 tff(32430,plain,
% 83.93/53.51 (~v184(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32429, 3901, 32138])).
% 83.93/53.51 tff(32431,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32432,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB192) | (~v187(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32433,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB192) | (~v187(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32432, 32431])).
% 83.93/53.51 tff(32434,plain,
% 83.93/53.51 (~v187(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32433, 4309, 32430])).
% 83.93/53.51 tff(32435,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32436,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB192) | (~v185(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32437,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB192) | (~v185(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 83.93/53.51 tff(32438,plain,
% 83.93/53.51 (~v185(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32437, 4029, 32434])).
% 83.93/53.51 tff(32439,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32440,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB192) | v185(constB192) | (~v178(constB192)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32441,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB192) | v185(constB192) | (~v178(constB192))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32440, 32439])).
% 83.93/53.51 tff(32442,plain,
% 83.93/53.51 (v181(constB192) | (~v178(constB192))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32441, 4261, 32438])).
% 83.93/53.51 tff(32443,plain,
% 83.93/53.51 (~v178(constB192)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32442, 32426])).
% 83.93/53.51 tff(32444,plain,
% 83.93/53.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32445,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32446,plain,
% 83.93/53.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB192, constB193)) | v178(constB192) | (~v180(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 83.93/53.51 tff(32447,plain,
% 83.93/53.51 (v178(constB192) | (~v180(constB193))),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32446, 4276, 32183])).
% 83.93/53.51 tff(32448,plain,
% 83.93/53.51 (~v180(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32447, 32443])).
% 83.93/53.51 tff(32449,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB193) | (~v293(constB193)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB193) | (~v293(constB193)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32450,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB193) | (~v293(constB193)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32451,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB193) | (~v293(constB193))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 83.93/53.51 tff(32452,plain,
% 83.93/53.51 (~v293(constB193)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32451, 4413, 32448])).
% 83.93/53.51 tff(32453,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB189, 2)) | v88(constB189, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB189, 2)) | v88(constB189, 2))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32454,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB189, 2)) | v88(constB189, 2))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32455,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB189, 2)) | v88(constB189, 2)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 83.93/53.51 tff(32456,plain,
% 83.93/53.51 (v88(constB189, 2)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32455, 3716, 31827])).
% 83.93/53.51 tff(32457,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB189)) | (~v88(constB189, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB189)) | (~v88(constB189, 2)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32458,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB189)) | (~v88(constB189, 2)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32459,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB189)) | (~v88(constB189, 2))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32458, 32457])).
% 83.93/53.51 tff(32460,plain,
% 83.93/53.51 (~v139(constB189)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32459, 4139, 32456])).
% 83.93/53.51 tff(32461,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB189)) | (~v88(constB189, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB189)) | (~v88(constB189, 2)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32462,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB189)) | (~v88(constB189, 2)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32463,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB189)) | (~v88(constB189, 2))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32462, 32461])).
% 83.93/53.51 tff(32464,plain,
% 83.93/53.51 (~v140(constB189)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32463, 4044, 32456])).
% 83.93/53.51 tff(32465,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32466,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32467,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189))),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32466, 32465])).
% 83.93/53.51 tff(32468,plain,
% 83.93/53.51 (~v168(constB189)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32467, 3983, 32464, 32460])).
% 83.93/53.51 tff(32469,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB189, 1)) | v90(constB189, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB189, 1)) | v90(constB189, 1))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32470,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB189, 1)) | v90(constB189, 1))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32471,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB189, 1)) | v90(constB189, 1)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32470, 32469])).
% 83.93/53.51 tff(32472,plain,
% 83.93/53.51 (~v88(constB189, 1)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32471, 3405, 31861])).
% 83.93/53.51 tff(32473,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB189, 0)) | v90(constB189, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB189, 0)) | v90(constB189, 0))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32474,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB189, 0)) | v90(constB189, 0))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32475,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB189, 0)) | v90(constB189, 0)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32474, 32473])).
% 83.93/53.51 tff(32476,plain,
% 83.93/53.51 (~v88(constB189, 0)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32475, 3705, 31895])).
% 83.93/53.51 tff(32477,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32478,plain,
% 83.93/53.51 (((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189)) <=> (v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32479,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189)))),
% 83.93/53.51 inference(monotonicity,[status(thm)],[32478])).
% 83.93/53.51 tff(32480,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189))),
% 83.93/53.51 inference(transitivity,[status(thm)],[32479, 32477])).
% 83.93/53.51 tff(32481,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB189, 2)) | v88(constB189, 1) | v88(constB189, 0) | v146(constB189))),
% 83.93/53.51 inference(quant_inst,[status(thm)],[])).
% 83.93/53.51 tff(32482,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB189, 1) | (~v88(constB189, 2)) | v88(constB189, 0) | v146(constB189)),
% 83.93/53.51 inference(modus_ponens,[status(thm)],[32481, 32480])).
% 83.93/53.51 tff(32483,plain,
% 83.93/53.51 (v146(constB189)),
% 83.93/53.51 inference(unit_resolution,[status(thm)],[32482, 4169, 32456, 32476, 32472])).
% 83.93/53.51 tff(32484,plain,
% 83.93/53.51 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB189)) | v145(constB189))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB189)) | v145(constB189))),
% 83.93/53.51 inference(rewrite,[status(thm)],[])).
% 83.93/53.51 tff(32485,plain,
% 83.93/53.51 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB189)) | v145(constB189))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32486,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB189)) | v145(constB189)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32485, 32484])).
% 83.93/53.52 tff(32487,plain,
% 83.93/53.52 (v145(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32486, 4183, 32483])).
% 83.93/53.52 tff(32488,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB189) | (~v145(constB189)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB189) | (~v145(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32489,plain,
% 83.93/53.52 (((~v145(constB189)) | v226(constB189)) <=> (v226(constB189) | (~v145(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32490,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB189)) | v226(constB189))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB189) | (~v145(constB189))))),
% 83.93/53.52 inference(monotonicity,[status(thm)],[32489])).
% 83.93/53.52 tff(32491,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB189)) | v226(constB189))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB189) | (~v145(constB189)))),
% 83.93/53.52 inference(transitivity,[status(thm)],[32490, 32488])).
% 83.93/53.52 tff(32492,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB189)) | v226(constB189))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32493,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB189) | (~v145(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 83.93/53.52 tff(32494,plain,
% 83.93/53.52 (v226(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32493, 4106, 32487])).
% 83.93/53.52 tff(32495,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB189)) | v168(constB189) | (~v226(constB189)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32496,plain,
% 83.93/53.52 (((~v226(constB189)) | v168(constB189) | (~v161(constB189))) <=> ((~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32497,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB189)) | v168(constB189) | (~v161(constB189)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB189)) | v168(constB189) | (~v226(constB189))))),
% 83.93/53.52 inference(monotonicity,[status(thm)],[32496])).
% 83.93/53.52 tff(32498,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB189)) | v168(constB189) | (~v161(constB189)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189)))),
% 83.93/53.52 inference(transitivity,[status(thm)],[32497, 32495])).
% 83.93/53.52 tff(32499,plain,
% 83.93/53.52 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB189)) | v168(constB189) | (~v161(constB189)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32500,plain,
% 83.93/53.52 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB189)) | v168(constB189) | (~v226(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32499, 32498])).
% 83.93/53.52 tff(32501,plain,
% 83.93/53.52 (~v161(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32500, 3997, 32494, 32468])).
% 83.93/53.52 tff(32502,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32503,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB189) | (~v187(constB189)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32504,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB189) | (~v187(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32503, 32502])).
% 83.93/53.52 tff(32505,plain,
% 83.93/53.52 (~v187(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32504, 4015, 32501])).
% 83.93/53.52 tff(32506,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32507,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB189) | (~v185(constB189)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32508,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB189) | (~v185(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32507, 32506])).
% 83.93/53.52 tff(32509,plain,
% 83.93/53.52 (~v185(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32508, 4029, 32505])).
% 83.93/53.52 tff(32510,assumption,(v18(constB190)), introduced(assumption)).
% 83.93/53.52 tff(32511,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB190))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32512,plain,
% 83.93/53.52 ($false),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32511, 3600, 32510])).
% 83.93/53.52 tff(32513,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.52 tff(32514,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32515,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32516,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32515, 32514])).
% 83.93/53.52 tff(32517,plain,
% 83.93/53.52 (v22(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32516, 3613, 29608])).
% 83.93/53.52 tff(32518,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32519,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32520,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32519, 32518])).
% 83.93/53.52 tff(32521,plain,
% 83.93/53.52 (v18(constB190) | (~v19(constB190))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32520, 3627, 32517])).
% 83.93/53.52 tff(32522,plain,
% 83.93/53.52 (~v19(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32521, 32513])).
% 83.93/53.52 tff(32523,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32524,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32525,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 83.93/53.52 tff(32526,plain,
% 83.93/53.52 (v13(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32525, 3639, 32522])).
% 83.93/53.52 tff(32527,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32528,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32529,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32528, 32527])).
% 83.93/53.52 tff(32530,plain,
% 83.93/53.52 (v9(constB189) | (~v13(constB190))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32529, 3653, 31936])).
% 83.93/53.52 tff(32531,plain,
% 83.93/53.52 (v9(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32530, 32526])).
% 83.93/53.52 tff(32532,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32533,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v184(constB189))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32534,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB189) | (~v9(constB189)) | v184(constB189)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32533, 32532])).
% 83.93/53.52 tff(32535,plain,
% 83.93/53.52 ((~v9(constB189)) | v184(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32534, 3668, 31803])).
% 83.93/53.52 tff(32536,plain,
% 83.93/53.52 (v184(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32535, 32531])).
% 83.93/53.52 tff(32537,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB189)) | v183(constB189))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB189)) | v183(constB189))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32538,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB189)) | v183(constB189))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32539,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB189)) | v183(constB189)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32538, 32537])).
% 83.93/53.52 tff(32540,plain,
% 83.93/53.52 (v183(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32539, 3680, 32536])).
% 83.93/53.52 tff(32541,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB189)) | (~v183(constB189)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB189)) | (~v183(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32542,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB189)) | (~v183(constB189)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32543,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB189)) | (~v183(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32542, 32541])).
% 83.93/53.52 tff(32544,plain,
% 83.93/53.52 (~v181(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32543, 4247, 32540])).
% 83.93/53.52 tff(32545,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32546,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB189) | v185(constB189) | (~v178(constB189)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32547,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB189) | v185(constB189) | (~v178(constB189))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32546, 32545])).
% 83.93/53.52 tff(32548,plain,
% 83.93/53.52 (v185(constB189) | (~v178(constB189))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32547, 4261, 32544])).
% 83.93/53.52 tff(32549,plain,
% 83.93/53.52 (~v178(constB189)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32548, 32509])).
% 83.93/53.52 tff(32550,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32551,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32552,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB189, constB190)) | v178(constB189) | (~v180(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 83.93/53.52 tff(32553,plain,
% 83.93/53.52 (v178(constB189) | (~v180(constB190))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32552, 4276, 31936])).
% 83.93/53.52 tff(32554,plain,
% 83.93/53.52 (~v180(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32553, 32549])).
% 83.93/53.52 tff(32555,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32556,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB190) | (~v181(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32557,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB190) | (~v181(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32556, 32555])).
% 83.93/53.52 tff(32558,plain,
% 83.93/53.52 (~v181(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32557, 4291, 32554])).
% 83.93/53.52 tff(32559,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32560,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB190) | (~v187(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32561,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB190) | (~v187(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 83.93/53.52 tff(32562,plain,
% 83.93/53.52 (~v187(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32561, 4309, 29612])).
% 83.93/53.52 tff(32563,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32564,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB190) | (~v185(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32565,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB190) | (~v185(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32564, 32563])).
% 83.93/53.52 tff(32566,plain,
% 83.93/53.52 (~v185(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32565, 4029, 32562])).
% 83.93/53.52 tff(32567,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32568,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB190) | v185(constB190) | (~v178(constB190)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32569,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB190) | v185(constB190) | (~v178(constB190))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32568, 32567])).
% 83.93/53.52 tff(32570,plain,
% 83.93/53.52 (v181(constB190) | (~v178(constB190))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32569, 4261, 32566])).
% 83.93/53.52 tff(32571,plain,
% 83.93/53.52 (~v178(constB190)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32570, 32558])).
% 83.93/53.52 tff(32572,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32573,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32574,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB190, constB191)) | v178(constB190) | (~v180(constB191))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 83.93/53.52 tff(32575,plain,
% 83.93/53.52 (v178(constB190) | (~v180(constB191))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32574, 4276, 31995])).
% 83.93/53.52 tff(32576,plain,
% 83.93/53.52 (~v180(constB191)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32575, 32571])).
% 83.93/53.52 tff(32577,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB191) | (~v215(constB191)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB191) | (~v215(constB191)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32578,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB191) | (~v215(constB191)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32579,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB191) | (~v215(constB191))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32578, 32577])).
% 83.93/53.52 tff(32580,plain,
% 83.93/53.52 (~v215(constB191)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32579, 4427, 32576])).
% 83.93/53.52 tff(32581,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB191)) | (~v214(constB191)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB191)) | (~v214(constB191)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32582,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB191)) | (~v214(constB191)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32583,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB191)) | (~v214(constB191))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 83.93/53.52 tff(32584,plain,
% 83.93/53.52 (~v214(constB191)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32583, 4593, 32408])).
% 83.93/53.52 tff(32585,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB191) | v215(constB191) | (~v211(constB191)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB191) | v215(constB191) | (~v211(constB191)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32586,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB191) | v215(constB191) | (~v211(constB191)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32587,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB191) | v215(constB191) | (~v211(constB191))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 83.93/53.52 tff(32588,plain,
% 83.93/53.52 (v215(constB191) | (~v211(constB191))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32587, 4607, 32584])).
% 83.93/53.52 tff(32589,plain,
% 83.93/53.52 (~v211(constB191)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32588, 32580])).
% 83.93/53.52 tff(32590,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32591,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32592,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB191, constB192)) | v211(constB191) | (~v213(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32591, 32590])).
% 83.93/53.52 tff(32593,plain,
% 83.93/53.52 (v211(constB191) | (~v213(constB192))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32592, 4622, 32118])).
% 83.93/53.52 tff(32594,plain,
% 83.93/53.52 (~v213(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32593, 32589])).
% 83.93/53.52 tff(32595,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB192) | (~v214(constB192)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB192) | (~v214(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32596,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB192) | (~v214(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32597,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB192) | (~v214(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 83.93/53.52 tff(32598,plain,
% 83.93/53.52 (~v214(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32597, 4637, 32594])).
% 83.93/53.52 tff(32599,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB192) | (~v217(constB192)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB192) | (~v217(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32600,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB192) | (~v217(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32601,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB192) | (~v217(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32600, 32599])).
% 83.93/53.52 tff(32602,plain,
% 83.93/53.52 (~v217(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32601, 4651, 32430])).
% 83.93/53.52 tff(32603,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB192) | (~v216(constB192)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB192) | (~v216(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32604,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB192) | (~v216(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32605,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB192) | (~v216(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 83.93/53.52 tff(32606,plain,
% 83.93/53.52 (~v216(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32605, 4565, 32602])).
% 83.93/53.52 tff(32607,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB192) | (~v215(constB192)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB192) | (~v215(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32608,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB192) | (~v215(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32609,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB192) | (~v215(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32608, 32607])).
% 83.93/53.52 tff(32610,plain,
% 83.93/53.52 (~v215(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32609, 4579, 32606])).
% 83.93/53.52 tff(32611,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB192) | v215(constB192) | (~v211(constB192)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB192) | v215(constB192) | (~v211(constB192)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32612,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB192) | v215(constB192) | (~v211(constB192)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32613,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB192) | v215(constB192) | (~v211(constB192))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32612, 32611])).
% 83.93/53.52 tff(32614,plain,
% 83.93/53.52 (v214(constB192) | (~v211(constB192))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32613, 4607, 32610])).
% 83.93/53.52 tff(32615,plain,
% 83.93/53.52 (~v211(constB192)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32614, 32598])).
% 83.93/53.52 tff(32616,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32617,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32618,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB192, constB193)) | v211(constB192) | (~v213(constB193))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 83.93/53.52 tff(32619,plain,
% 83.93/53.52 (v211(constB192) | (~v213(constB193))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32618, 4622, 32183])).
% 83.93/53.52 tff(32620,plain,
% 83.93/53.52 (~v213(constB193)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32619, 32615])).
% 83.93/53.52 tff(32621,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB193) | (~v297(constB193)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB193) | (~v297(constB193)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32622,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB193) | (~v297(constB193)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32623,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB193) | (~v297(constB193))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 83.93/53.52 tff(32624,plain,
% 83.93/53.52 (~v297(constB193)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32623, 4767, 32620])).
% 83.93/53.52 tff(32625,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB193) | v297(constB193) | (~v292(constB193)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB193) | v297(constB193) | (~v292(constB193)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32626,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB193) | v297(constB193) | (~v292(constB193)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32627,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB193) | v297(constB193) | (~v292(constB193))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 83.93/53.52 tff(32628,plain,
% 83.93/53.52 (v293(constB193) | (~v292(constB193))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32627, 4781, 32624])).
% 83.93/53.52 tff(32629,plain,
% 83.93/53.52 (~v292(constB193)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32628, 32452])).
% 83.93/53.52 tff(32630,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32631,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB187, 2)) | v90(constB187, 2))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32632,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB187, 2)) | v90(constB187, 2)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 83.93/53.52 tff(32633,plain,
% 83.93/53.52 (~v88(constB187, 2)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32632, 3360, 31637])).
% 83.93/53.52 tff(32634,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32635,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB187, 1)) | v88(constB187, 1))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32636,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB187, 1)) | v88(constB187, 1)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32635, 32634])).
% 83.93/53.52 tff(32637,plain,
% 83.93/53.52 (v88(constB187, 1)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32636, 3727, 31668])).
% 83.93/53.52 tff(32638,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32639,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB187, 0)) | v88(constB187, 0))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32640,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB187, 0)) | v88(constB187, 0)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32639, 32638])).
% 83.93/53.52 tff(32641,plain,
% 83.93/53.52 (v88(constB187, 0)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32640, 3447, 31699])).
% 83.93/53.52 tff(32642,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32643,plain,
% 83.93/53.52 ((v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187)) <=> ((~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32644,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187)))),
% 83.93/53.52 inference(monotonicity,[status(thm)],[32643])).
% 83.93/53.52 tff(32645,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187))),
% 83.93/53.52 inference(transitivity,[status(thm)],[32644, 32642])).
% 83.93/53.52 tff(32646,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB187, 2) | (~v88(constB187, 1)) | (~v88(constB187, 0)) | v141(constB187))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32647,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB187, 1)) | v88(constB187, 2) | (~v88(constB187, 0)) | v141(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 83.93/53.52 tff(32648,plain,
% 83.93/53.52 (v141(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32647, 19257, 32641, 32637, 32633])).
% 83.93/53.52 tff(32649,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB187)) | v228(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB187)) | v228(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32650,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB187)) | v228(constB187))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32651,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB187)) | v228(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 83.93/53.52 tff(32652,plain,
% 83.93/53.52 (v228(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32651, 19268, 32648])).
% 83.93/53.52 tff(32653,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB187)) | v227(constB187))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB187)) | v227(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32654,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB187)) | v227(constB187))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32655,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB187)) | v227(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 83.93/53.52 tff(32656,plain,
% 83.93/53.52 (v227(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32655, 3503, 32652])).
% 83.93/53.52 tff(32657,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB187) | (~v227(constB187)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB187) | (~v227(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32658,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB187) | (~v227(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32659,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB187) | (~v227(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 83.93/53.52 tff(32660,plain,
% 83.93/53.52 (v226(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32659, 3517, 32656])).
% 83.93/53.52 tff(32661,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32662,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB187)) | (~v88(constB187, 1)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32663,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB187)) | (~v88(constB187, 1))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 83.93/53.52 tff(32664,plain,
% 83.93/53.52 (~v140(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32663, 3969, 32637])).
% 83.93/53.52 tff(32665,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32666,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB187)) | (~v88(constB187, 0)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32667,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB187)) | (~v88(constB187, 0))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32666, 32665])).
% 83.93/53.52 tff(32668,plain,
% 83.93/53.52 (~v139(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32667, 4059, 32641])).
% 83.93/53.52 tff(32669,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32670,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32671,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32670, 32669])).
% 83.93/53.52 tff(32672,plain,
% 83.93/53.52 (~v168(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32671, 3983, 32668, 32664])).
% 83.93/53.52 tff(32673,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v226(constB187)) | v168(constB187))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32674,plain,
% 83.93/53.52 (((~v226(constB187)) | v168(constB187) | (~v161(constB187))) <=> ((~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32675,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB187)) | v168(constB187) | (~v161(constB187)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB187)) | (~v226(constB187)) | v168(constB187)))),
% 83.93/53.52 inference(monotonicity,[status(thm)],[32674])).
% 83.93/53.52 tff(32676,plain,
% 83.93/53.52 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB187)) | v168(constB187) | (~v161(constB187)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187))),
% 83.93/53.52 inference(transitivity,[status(thm)],[32675, 32673])).
% 83.93/53.52 tff(32677,plain,
% 83.93/53.52 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB187)) | v168(constB187) | (~v161(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32678,plain,
% 83.93/53.52 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB187)) | (~v226(constB187)) | v168(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32677, 32676])).
% 83.93/53.52 tff(32679,plain,
% 83.93/53.52 ((~v161(constB187)) | (~v226(constB187))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32678, 3997, 32672])).
% 83.93/53.52 tff(32680,plain,
% 83.93/53.52 (~v161(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32679, 32660])).
% 83.93/53.52 tff(32681,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32682,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB187) | (~v187(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32683,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB187) | (~v187(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32682, 32681])).
% 83.93/53.52 tff(32684,plain,
% 83.93/53.52 (~v187(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32683, 4015, 32680])).
% 83.93/53.52 tff(32685,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32686,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB187) | (~v185(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32687,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB187) | (~v185(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32686, 32685])).
% 83.93/53.52 tff(32688,plain,
% 83.93/53.52 (~v185(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32687, 4029, 32684])).
% 83.93/53.52 tff(32689,assumption,(v18(constB188)), introduced(assumption)).
% 83.93/53.52 tff(32690,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB188))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32691,plain,
% 83.93/53.52 ($false),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32690, 3600, 32689])).
% 83.93/53.52 tff(32692,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.52 tff(32693,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32694,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32695,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32694, 32693])).
% 83.93/53.52 tff(32696,plain,
% 83.93/53.52 (v22(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32695, 3613, 31764])).
% 83.93/53.52 tff(32697,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32698,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32699,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32698, 32697])).
% 83.93/53.52 tff(32700,plain,
% 83.93/53.52 (v18(constB188) | (~v19(constB188))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32699, 3627, 32696])).
% 83.93/53.52 tff(32701,plain,
% 83.93/53.52 (~v19(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32700, 32692])).
% 83.93/53.52 tff(32702,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32703,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32704,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32703, 32702])).
% 83.93/53.52 tff(32705,plain,
% 83.93/53.52 (v13(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32704, 3639, 32701])).
% 83.93/53.52 tff(32706,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32707,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32708,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 83.93/53.52 tff(32709,plain,
% 83.93/53.52 (v9(constB187) | (~v13(constB188))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32708, 3653, 31744])).
% 83.93/53.52 tff(32710,plain,
% 83.93/53.52 (v9(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32709, 32705])).
% 83.93/53.52 tff(32711,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32712,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v184(constB187))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32713,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB187) | (~v9(constB187)) | v184(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32712, 32711])).
% 83.93/53.52 tff(32714,plain,
% 83.93/53.52 ((~v9(constB187)) | v184(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32713, 3668, 31613])).
% 83.93/53.52 tff(32715,plain,
% 83.93/53.52 (v184(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32714, 32710])).
% 83.93/53.52 tff(32716,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB187)) | v183(constB187))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB187)) | v183(constB187))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32717,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB187)) | v183(constB187))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32718,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB187)) | v183(constB187)),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32717, 32716])).
% 83.93/53.52 tff(32719,plain,
% 83.93/53.52 (v183(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32718, 3680, 32715])).
% 83.93/53.52 tff(32720,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB187)) | (~v183(constB187)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB187)) | (~v183(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32721,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB187)) | (~v183(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32722,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB187)) | (~v183(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 83.93/53.52 tff(32723,plain,
% 83.93/53.52 (~v181(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32722, 4247, 32719])).
% 83.93/53.52 tff(32724,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32725,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB187) | v185(constB187) | (~v178(constB187)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32726,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB187) | v185(constB187) | (~v178(constB187))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32725, 32724])).
% 83.93/53.52 tff(32727,plain,
% 83.93/53.52 (v185(constB187) | (~v178(constB187))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32726, 4261, 32723])).
% 83.93/53.52 tff(32728,plain,
% 83.93/53.52 (~v178(constB187)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32727, 32688])).
% 83.93/53.52 tff(32729,plain,
% 83.93/53.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32730,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32731,plain,
% 83.93/53.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB187, constB188)) | v178(constB187) | (~v180(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 83.93/53.52 tff(32732,plain,
% 83.93/53.52 (v178(constB187) | (~v180(constB188))),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32731, 4276, 31744])).
% 83.93/53.52 tff(32733,plain,
% 83.93/53.52 (~v180(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32732, 32728])).
% 83.93/53.52 tff(32734,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32735,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB188) | (~v181(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32736,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB188) | (~v181(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32735, 32734])).
% 83.93/53.52 tff(32737,plain,
% 83.93/53.52 (~v181(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32736, 4291, 32733])).
% 83.93/53.52 tff(32738,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32739,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB188)) | (~v184(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32740,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB188)) | (~v184(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32739, 32738])).
% 83.93/53.52 tff(32741,plain,
% 83.93/53.52 (~v184(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32740, 3901, 31764])).
% 83.93/53.52 tff(32742,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32743,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB188) | (~v187(constB188)))),
% 83.93/53.52 inference(quant_inst,[status(thm)],[])).
% 83.93/53.52 tff(32744,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB188) | (~v187(constB188))),
% 83.93/53.52 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 83.93/53.52 tff(32745,plain,
% 83.93/53.52 (~v187(constB188)),
% 83.93/53.52 inference(unit_resolution,[status(thm)],[32744, 4309, 32741])).
% 83.93/53.52 tff(32746,plain,
% 83.93/53.52 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188)))),
% 83.93/53.52 inference(rewrite,[status(thm)],[])).
% 83.93/53.52 tff(32747,plain,
% 83.93/53.52 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB188) | (~v185(constB188)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32748,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB188) | (~v185(constB188))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32747, 32746])).
% 83.93/53.53 tff(32749,plain,
% 83.93/53.53 (~v185(constB188)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32748, 4029, 32745])).
% 83.93/53.53 tff(32750,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32751,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB188) | v185(constB188) | (~v178(constB188)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32752,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB188) | v185(constB188) | (~v178(constB188))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32751, 32750])).
% 83.93/53.53 tff(32753,plain,
% 83.93/53.53 (v181(constB188) | (~v178(constB188))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32752, 4261, 32749])).
% 83.93/53.53 tff(32754,plain,
% 83.93/53.53 (~v178(constB188)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32753, 32737])).
% 83.93/53.53 tff(32755,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32756,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32757,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB188, constB189)) | v178(constB188) | (~v180(constB189))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 83.93/53.53 tff(32758,plain,
% 83.93/53.53 (v178(constB188) | (~v180(constB189))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32757, 4276, 31806])).
% 83.93/53.53 tff(32759,plain,
% 83.93/53.53 (~v180(constB189)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32758, 32754])).
% 83.93/53.53 tff(32760,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB189) | (~v215(constB189)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB189) | (~v215(constB189)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32761,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB189) | (~v215(constB189)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32762,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB189) | (~v215(constB189))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32761, 32760])).
% 83.93/53.53 tff(32763,plain,
% 83.93/53.53 (~v215(constB189)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32762, 4427, 32759])).
% 83.93/53.53 tff(32764,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB189)) | (~v214(constB189)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB189)) | (~v214(constB189)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32765,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB189)) | (~v214(constB189)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32766,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB189)) | (~v214(constB189))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32765, 32764])).
% 83.93/53.53 tff(32767,plain,
% 83.93/53.53 (~v214(constB189)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32766, 4593, 32540])).
% 83.93/53.53 tff(32768,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB189) | v215(constB189) | (~v211(constB189)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB189) | v215(constB189) | (~v211(constB189)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32769,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB189) | v215(constB189) | (~v211(constB189)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32770,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB189) | v215(constB189) | (~v211(constB189))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32769, 32768])).
% 83.93/53.53 tff(32771,plain,
% 83.93/53.53 (v215(constB189) | (~v211(constB189))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32770, 4607, 32767])).
% 83.93/53.53 tff(32772,plain,
% 83.93/53.53 (~v211(constB189)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32771, 32763])).
% 83.93/53.53 tff(32773,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32774,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32775,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB189, constB190)) | v211(constB189) | (~v213(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 83.93/53.53 tff(32776,plain,
% 83.93/53.53 (v211(constB189) | (~v213(constB190))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32775, 4622, 31936])).
% 83.93/53.53 tff(32777,plain,
% 83.93/53.53 (~v213(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32776, 32772])).
% 83.93/53.53 tff(32778,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB190) | (~v214(constB190)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB190) | (~v214(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32779,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB190) | (~v214(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32780,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB190) | (~v214(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 83.93/53.53 tff(32781,plain,
% 83.93/53.53 (~v214(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32780, 4637, 32777])).
% 83.93/53.53 tff(32782,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB190) | (~v217(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB190) | (~v217(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32783,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB190) | (~v217(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32784,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB190) | (~v217(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32783, 32782])).
% 83.93/53.53 tff(32785,plain,
% 83.93/53.53 (~v217(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32784, 4651, 29612])).
% 83.93/53.53 tff(32786,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB190) | (~v216(constB190)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB190) | (~v216(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32787,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB190) | (~v216(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32788,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB190) | (~v216(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32787, 32786])).
% 83.93/53.53 tff(32789,plain,
% 83.93/53.53 (~v216(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32788, 4565, 32785])).
% 83.93/53.53 tff(32790,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB190) | (~v215(constB190)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB190) | (~v215(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32791,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB190) | (~v215(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32792,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB190) | (~v215(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 83.93/53.53 tff(32793,plain,
% 83.93/53.53 (~v215(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32792, 4579, 32789])).
% 83.93/53.53 tff(32794,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB190) | v215(constB190) | (~v211(constB190)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB190) | v215(constB190) | (~v211(constB190)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32795,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB190) | v215(constB190) | (~v211(constB190)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32796,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB190) | v215(constB190) | (~v211(constB190))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 83.93/53.53 tff(32797,plain,
% 83.93/53.53 (v214(constB190) | (~v211(constB190))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32796, 4607, 32793])).
% 83.93/53.53 tff(32798,plain,
% 83.93/53.53 (~v211(constB190)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32797, 32781])).
% 83.93/53.53 tff(32799,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32800,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32801,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB190, constB191)) | v211(constB190) | (~v213(constB191))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32800, 32799])).
% 83.93/53.53 tff(32802,plain,
% 83.93/53.53 (v211(constB190) | (~v213(constB191))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32801, 4622, 31995])).
% 83.93/53.53 tff(32803,plain,
% 83.93/53.53 (~v213(constB191)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32802, 32798])).
% 83.93/53.53 tff(32804,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB191) | (~v245(constB191)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB191) | (~v245(constB191)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32805,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB191) | (~v245(constB191)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32806,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB191) | (~v245(constB191))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 83.93/53.53 tff(32807,plain,
% 83.93/53.53 (~v245(constB191)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32806, 4796, 32803])).
% 83.93/53.53 tff(32808,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB191)) | (~v244(constB191)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB191)) | (~v244(constB191)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32809,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB191)) | (~v244(constB191)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32810,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB191)) | (~v244(constB191))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 83.93/53.53 tff(32811,plain,
% 83.93/53.53 (~v244(constB191)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32810, 4891, 32408])).
% 83.93/53.53 tff(32812,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB191) | v245(constB191) | (~v241(constB191)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB191) | v245(constB191) | (~v241(constB191)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32813,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB191) | v245(constB191) | (~v241(constB191)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32814,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB191) | v245(constB191) | (~v241(constB191))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32813, 32812])).
% 83.93/53.53 tff(32815,plain,
% 83.93/53.53 (v245(constB191) | (~v241(constB191))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32814, 4905, 32811])).
% 83.93/53.53 tff(32816,plain,
% 83.93/53.53 (~v241(constB191)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32815, 32807])).
% 83.93/53.53 tff(32817,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32818,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32819,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB191, constB192)) | v241(constB191) | (~v243(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32818, 32817])).
% 83.93/53.53 tff(32820,plain,
% 83.93/53.53 (v241(constB191) | (~v243(constB192))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32819, 4920, 32118])).
% 83.93/53.53 tff(32821,plain,
% 83.93/53.53 (~v243(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32820, 32816])).
% 83.93/53.53 tff(32822,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB192) | (~v244(constB192)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB192) | (~v244(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32823,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB192) | (~v244(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32824,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB192) | (~v244(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 83.93/53.53 tff(32825,plain,
% 83.93/53.53 (~v244(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32824, 4935, 32821])).
% 83.93/53.53 tff(32826,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB192) | (~v247(constB192)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB192) | (~v247(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32827,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB192) | (~v247(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32828,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB192) | (~v247(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32827, 32826])).
% 83.93/53.53 tff(32829,plain,
% 83.93/53.53 (~v247(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32828, 4949, 32430])).
% 83.93/53.53 tff(32830,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB192) | (~v246(constB192)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB192) | (~v246(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32831,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB192) | (~v246(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32832,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB192) | (~v246(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32831, 32830])).
% 83.93/53.53 tff(32833,plain,
% 83.93/53.53 (~v246(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32832, 4863, 32829])).
% 83.93/53.53 tff(32834,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB192) | (~v245(constB192)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB192) | (~v245(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32835,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB192) | (~v245(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32836,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB192) | (~v245(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32835, 32834])).
% 83.93/53.53 tff(32837,plain,
% 83.93/53.53 (~v245(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32836, 4877, 32833])).
% 83.93/53.53 tff(32838,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB192) | v245(constB192) | (~v241(constB192)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB192) | v245(constB192) | (~v241(constB192)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32839,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB192) | v245(constB192) | (~v241(constB192)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32840,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB192) | v245(constB192) | (~v241(constB192))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32839, 32838])).
% 83.93/53.53 tff(32841,plain,
% 83.93/53.53 (v244(constB192) | (~v241(constB192))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32840, 4905, 32837])).
% 83.93/53.53 tff(32842,plain,
% 83.93/53.53 (~v241(constB192)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32841, 32825])).
% 83.93/53.53 tff(32843,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32844,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32845,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB192, constB193)) | v241(constB192) | (~v243(constB193))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32844, 32843])).
% 83.93/53.53 tff(32846,plain,
% 83.93/53.53 (v241(constB192) | (~v243(constB193))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32845, 4920, 32183])).
% 83.93/53.53 tff(32847,plain,
% 83.93/53.53 (~v243(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32846, 32842])).
% 83.93/53.53 tff(32848,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB193) | (~v302(constB193)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB193) | (~v302(constB193)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32849,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB193) | (~v302(constB193)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32850,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB193) | (~v302(constB193))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 83.93/53.53 tff(32851,plain,
% 83.93/53.53 (~v302(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32850, 5060, 32847])).
% 83.93/53.53 tff(32852,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB193) | v302(constB193) | v290(constB193))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB193) | v302(constB193) | v290(constB193))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32853,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB193) | v302(constB193) | v290(constB193))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32854,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v292(constB193) | v302(constB193) | v290(constB193)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 83.93/53.53 tff(32855,plain,
% 83.93/53.53 (v292(constB193) | v290(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32854, 5074, 32851])).
% 83.93/53.53 tff(32856,plain,
% 83.93/53.53 (v290(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32855, 32629])).
% 83.93/53.53 tff(32857,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | ((~v290(constB193)) | v307(constB193) | v289(constB193))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (~v290(constB193)) | v307(constB193) | v289(constB193))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32858,plain,
% 83.93/53.53 ((v307(constB193) | v289(constB193) | (~v290(constB193))) <=> ((~v290(constB193)) | v307(constB193) | v289(constB193))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32859,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB193) | v289(constB193) | (~v290(constB193)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | ((~v290(constB193)) | v307(constB193) | v289(constB193)))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32858])).
% 83.93/53.53 tff(32860,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB193) | v289(constB193) | (~v290(constB193)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (~v290(constB193)) | v307(constB193) | v289(constB193))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32859, 32857])).
% 83.93/53.53 tff(32861,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB193) | v289(constB193) | (~v290(constB193)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32862,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (~v290(constB193)) | v307(constB193) | v289(constB193)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 83.93/53.53 tff(32863,plain,
% 83.93/53.53 (v307(constB193) | v289(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32862, 5092, 32856])).
% 83.93/53.53 tff(32864,plain,
% 83.93/53.53 (v289(constB193)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32863, 32320])).
% 83.93/53.53 tff(32865,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32866,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB181, 0)) | v90(constB181, 0))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32867,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB181, 0)) | v90(constB181, 0)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32866, 32865])).
% 83.93/53.53 tff(32868,plain,
% 83.93/53.53 (~v88(constB181, 0)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32867, 3705, 30952])).
% 83.93/53.53 tff(32869,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32870,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB181, 2)) | v88(constB181, 2))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32871,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB181, 2)) | v88(constB181, 2)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 83.93/53.53 tff(32872,plain,
% 83.93/53.53 (v88(constB181, 2)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32871, 3716, 30887])).
% 83.93/53.53 tff(32873,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32874,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB181, 1)) | v88(constB181, 1))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32875,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB181, 1)) | v88(constB181, 1)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32874, 32873])).
% 83.93/53.53 tff(32876,plain,
% 83.93/53.53 (v88(constB181, 1)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32875, 3727, 30918])).
% 83.93/53.53 tff(32877,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32878,plain,
% 83.93/53.53 (((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181)) <=> (v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32879,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2))))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32878])).
% 83.93/53.53 tff(32880,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2)))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32879, 32877])).
% 83.93/53.53 tff(32881,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB181, 2)) | (~v88(constB181, 1)) | v88(constB181, 0) | v144(constB181))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32882,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v144(constB181) | v88(constB181, 0) | (~v88(constB181, 1)) | (~v88(constB181, 2))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32881, 32880])).
% 83.93/53.53 tff(32883,plain,
% 83.93/53.53 (v144(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32882, 3741, 32876, 32872, 32868])).
% 83.93/53.53 tff(32884,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB181) | (~v144(constB181)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v144(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32885,plain,
% 83.93/53.53 (((~v144(constB181)) | v142(constB181)) <=> (v142(constB181) | (~v144(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32886,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB181) | (~v144(constB181))))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32885])).
% 83.93/53.53 tff(32887,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v144(constB181)))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32886, 32884])).
% 83.93/53.53 tff(32888,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB181)) | v142(constB181))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32889,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB181) | (~v144(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32888, 32887])).
% 83.93/53.53 tff(32890,plain,
% 83.93/53.53 (v142(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32889, 3755, 32883])).
% 83.93/53.53 tff(32891,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB181) | (~v142(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32892,plain,
% 83.93/53.53 (((~v142(constB181)) | v227(constB181)) <=> (v227(constB181) | (~v142(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32893,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB181)) | v227(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB181) | (~v142(constB181))))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32892])).
% 83.93/53.53 tff(32894,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB181)) | v227(constB181))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB181) | (~v142(constB181)))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32893, 32891])).
% 83.93/53.53 tff(32895,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB181)) | v227(constB181))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32896,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB181) | (~v142(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 83.93/53.53 tff(32897,plain,
% 83.93/53.53 (v227(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32896, 3766, 32890])).
% 83.93/53.53 tff(32898,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB181) | (~v227(constB181)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB181) | (~v227(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32899,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB181) | (~v227(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32900,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB181) | (~v227(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32899, 32898])).
% 83.93/53.53 tff(32901,plain,
% 83.93/53.53 (v226(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32900, 3517, 32897])).
% 83.93/53.53 tff(32902,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32903,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB181)) | (~v88(constB181, 1)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32904,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB181)) | (~v88(constB181, 1))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32903, 32902])).
% 83.93/53.53 tff(32905,plain,
% 83.93/53.53 (~v139(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32904, 3958, 32876])).
% 83.93/53.53 tff(32906,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32907,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB181)) | (~v88(constB181, 1)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32908,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB181)) | (~v88(constB181, 1))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 83.93/53.53 tff(32909,plain,
% 83.93/53.53 (~v140(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32908, 3969, 32876])).
% 83.93/53.53 tff(32910,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32911,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32912,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 83.93/53.53 tff(32913,plain,
% 83.93/53.53 (~v168(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32912, 3983, 32909, 32905])).
% 83.93/53.53 tff(32914,plain,
% 83.93/53.53 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB181)) | v168(constB181) | (~v226(constB181)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32915,plain,
% 83.93/53.53 (((~v226(constB181)) | v168(constB181) | (~v161(constB181))) <=> ((~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32916,plain,
% 83.93/53.53 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB181)) | v168(constB181) | (~v161(constB181)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB181)) | v168(constB181) | (~v226(constB181))))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32915])).
% 83.93/53.53 tff(32917,plain,
% 83.93/53.53 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB181)) | v168(constB181) | (~v161(constB181)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181)))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32916, 32914])).
% 83.93/53.53 tff(32918,plain,
% 83.93/53.53 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB181)) | v168(constB181) | (~v161(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32919,plain,
% 83.93/53.53 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB181)) | v168(constB181) | (~v226(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32918, 32917])).
% 83.93/53.53 tff(32920,plain,
% 83.93/53.53 ((~v161(constB181)) | (~v226(constB181))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32919, 3997, 32913])).
% 83.93/53.53 tff(32921,plain,
% 83.93/53.53 (~v161(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32920, 32901])).
% 83.93/53.53 tff(32922,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32923,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB181) | (~v187(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32924,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB181) | (~v187(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32923, 32922])).
% 83.93/53.53 tff(32925,plain,
% 83.93/53.53 (~v187(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32924, 4015, 32921])).
% 83.93/53.53 tff(32926,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32927,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB181) | (~v185(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32928,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB181) | (~v185(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32927, 32926])).
% 83.93/53.53 tff(32929,plain,
% 83.93/53.53 (~v185(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32928, 4029, 32925])).
% 83.93/53.53 tff(32930,assumption,(v18(constB182)), introduced(assumption)).
% 83.93/53.53 tff(32931,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32932,plain,
% 83.93/53.53 ($false),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32931, 3600, 32930])).
% 83.93/53.53 tff(32933,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.53 tff(32934,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32935,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32936,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32935, 32934])).
% 83.93/53.53 tff(32937,plain,
% 83.93/53.53 (v22(constB182)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32936, 3613, 31002])).
% 83.93/53.53 tff(32938,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32939,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32940,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32939, 32938])).
% 83.93/53.53 tff(32941,plain,
% 83.93/53.53 (v18(constB182) | (~v19(constB182))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32940, 3627, 32937])).
% 83.93/53.53 tff(32942,plain,
% 83.93/53.53 (~v19(constB182)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32941, 32933])).
% 83.93/53.53 tff(32943,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32944,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32945,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32944, 32943])).
% 83.93/53.53 tff(32946,plain,
% 83.93/53.53 (v13(constB182)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32945, 3639, 32942])).
% 83.93/53.53 tff(32947,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32948,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32949,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32948, 32947])).
% 83.93/53.53 tff(32950,plain,
% 83.93/53.53 (v9(constB181) | (~v13(constB182))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32949, 3653, 30982])).
% 83.93/53.53 tff(32951,plain,
% 83.93/53.53 (v9(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32950, 32946])).
% 83.93/53.53 tff(32952,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32953,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v184(constB181))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32954,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB181) | (~v9(constB181)) | v184(constB181)),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 83.93/53.53 tff(32955,plain,
% 83.93/53.53 ((~v9(constB181)) | v184(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32954, 3668, 30863])).
% 83.93/53.53 tff(32956,plain,
% 83.93/53.53 (v184(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32955, 32951])).
% 83.93/53.53 tff(32957,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB181) | (~v184(constB181)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB181) | (~v184(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32958,plain,
% 83.93/53.53 (((~v184(constB181)) | v183(constB181)) <=> (v183(constB181) | (~v184(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32959,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB181)) | v183(constB181))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB181) | (~v184(constB181))))),
% 83.93/53.53 inference(monotonicity,[status(thm)],[32958])).
% 83.93/53.53 tff(32960,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB181)) | v183(constB181))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB181) | (~v184(constB181)))),
% 83.93/53.53 inference(transitivity,[status(thm)],[32959, 32957])).
% 83.93/53.53 tff(32961,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB181)) | v183(constB181))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32962,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB181) | (~v184(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32961, 32960])).
% 83.93/53.53 tff(32963,plain,
% 83.93/53.53 (v183(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32962, 3680, 32956])).
% 83.93/53.53 tff(32964,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB181)) | (~v183(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32965,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB181)) | (~v183(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32966,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB181)) | (~v183(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 83.93/53.53 tff(32967,plain,
% 83.93/53.53 (~v181(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32966, 4247, 32963])).
% 83.93/53.53 tff(32968,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32969,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB181) | v185(constB181) | (~v178(constB181)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32970,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB181) | v185(constB181) | (~v178(constB181))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 83.93/53.53 tff(32971,plain,
% 83.93/53.53 (v185(constB181) | (~v178(constB181))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32970, 4261, 32967])).
% 83.93/53.53 tff(32972,plain,
% 83.93/53.53 (~v178(constB181)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32971, 32929])).
% 83.93/53.53 tff(32973,plain,
% 83.93/53.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32974,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32975,plain,
% 83.93/53.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB181, constB182)) | v178(constB181) | (~v180(constB182))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32974, 32973])).
% 83.93/53.53 tff(32976,plain,
% 83.93/53.53 (v178(constB181) | (~v180(constB182))),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32975, 4276, 30982])).
% 83.93/53.53 tff(32977,plain,
% 83.93/53.53 (~v180(constB182)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32976, 32972])).
% 83.93/53.53 tff(32978,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32979,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB182) | (~v181(constB182)))),
% 83.93/53.53 inference(quant_inst,[status(thm)],[])).
% 83.93/53.53 tff(32980,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB182) | (~v181(constB182))),
% 83.93/53.53 inference(modus_ponens,[status(thm)],[32979, 32978])).
% 83.93/53.53 tff(32981,plain,
% 83.93/53.53 (~v181(constB182)),
% 83.93/53.53 inference(unit_resolution,[status(thm)],[32980, 4291, 32977])).
% 83.93/53.53 tff(32982,plain,
% 83.93/53.53 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182)))),
% 83.93/53.53 inference(rewrite,[status(thm)],[])).
% 83.93/53.53 tff(32983,plain,
% 83.93/53.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB182)) | (~v184(constB182)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(32984,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB182)) | (~v184(constB182))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 83.93/53.54 tff(32985,plain,
% 83.93/53.54 (~v184(constB182)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[32984, 3901, 31002])).
% 83.93/53.54 tff(32986,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(32987,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB182) | (~v187(constB182)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(32988,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB182) | (~v187(constB182))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[32987, 32986])).
% 83.93/53.54 tff(32989,plain,
% 83.93/53.54 (~v187(constB182)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[32988, 4309, 32985])).
% 83.93/53.54 tff(32990,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(32991,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB182) | (~v185(constB182)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(32992,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB182) | (~v185(constB182))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[32991, 32990])).
% 83.93/53.54 tff(32993,plain,
% 83.93/53.54 (~v185(constB182)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[32992, 4029, 32989])).
% 83.93/53.54 tff(32994,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(32995,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB182) | v185(constB182) | (~v178(constB182)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(32996,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB182) | v185(constB182) | (~v178(constB182))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[32995, 32994])).
% 83.93/53.54 tff(32997,plain,
% 83.93/53.54 (v181(constB182) | (~v178(constB182))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[32996, 4261, 32993])).
% 83.93/53.54 tff(32998,plain,
% 83.93/53.54 (~v178(constB182)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[32997, 32981])).
% 83.93/53.54 tff(32999,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33000,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33001,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB182, constB183)) | v178(constB182) | (~v180(constB183))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33000, 32999])).
% 83.93/53.54 tff(33002,plain,
% 83.93/53.54 (v178(constB182) | (~v180(constB183))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33001, 4276, 31068])).
% 83.93/53.54 tff(33003,plain,
% 83.93/53.54 (~v180(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33002, 32998])).
% 83.93/53.54 tff(33004,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB183) | (~v215(constB183)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB183) | (~v215(constB183)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33005,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB183) | (~v215(constB183)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33006,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB183) | (~v215(constB183))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33005, 33004])).
% 83.93/53.54 tff(33007,plain,
% 83.93/53.54 (~v215(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33006, 4427, 33003])).
% 83.93/53.54 tff(33008,assumption,(v18(constB184)), introduced(assumption)).
% 83.93/53.54 tff(33009,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB184))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33010,plain,
% 83.93/53.54 ($false),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33009, 3600, 33008])).
% 83.93/53.54 tff(33011,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.54 tff(33012,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33013,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33014,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33013, 33012])).
% 83.93/53.54 tff(33015,plain,
% 83.93/53.54 (v22(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33014, 3613, 31236])).
% 83.93/53.54 tff(33016,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33017,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33018,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 83.93/53.54 tff(33019,plain,
% 83.93/53.54 (v18(constB184) | (~v19(constB184))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33018, 3627, 33015])).
% 83.93/53.54 tff(33020,plain,
% 83.93/53.54 (~v19(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33019, 33011])).
% 83.93/53.54 tff(33021,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33022,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33023,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 83.93/53.54 tff(33024,plain,
% 83.93/53.54 (v13(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33023, 3639, 33020])).
% 83.93/53.54 tff(33025,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33026,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33027,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 83.93/53.54 tff(33028,plain,
% 83.93/53.54 (v9(constB183) | (~v13(constB184))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33027, 3653, 31216])).
% 83.93/53.54 tff(33029,plain,
% 83.93/53.54 (v9(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33028, 33024])).
% 83.93/53.54 tff(33030,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33031,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v184(constB183))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33032,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB183) | (~v9(constB183)) | v184(constB183)),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33031, 33030])).
% 83.93/53.54 tff(33033,plain,
% 83.93/53.54 ((~v9(constB183)) | v184(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33032, 3668, 31065])).
% 83.93/53.54 tff(33034,plain,
% 83.93/53.54 (v184(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33033, 33029])).
% 83.93/53.54 tff(33035,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB183)) | v183(constB183))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB183)) | v183(constB183))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33036,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB183)) | v183(constB183))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33037,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB183)) | v183(constB183)),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 83.93/53.54 tff(33038,plain,
% 83.93/53.54 (v183(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33037, 3680, 33034])).
% 83.93/53.54 tff(33039,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB183)) | (~v214(constB183)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB183)) | (~v214(constB183)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33040,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB183)) | (~v214(constB183)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33041,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB183)) | (~v214(constB183))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33040, 33039])).
% 83.93/53.54 tff(33042,plain,
% 83.93/53.54 (~v214(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33041, 4593, 33038])).
% 83.93/53.54 tff(33043,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB183) | v215(constB183) | (~v211(constB183)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB183) | v215(constB183) | (~v211(constB183)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33044,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB183) | v215(constB183) | (~v211(constB183)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33045,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB183) | v215(constB183) | (~v211(constB183))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33044, 33043])).
% 83.93/53.54 tff(33046,plain,
% 83.93/53.54 (v215(constB183) | (~v211(constB183))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33045, 4607, 33042])).
% 83.93/53.54 tff(33047,plain,
% 83.93/53.54 (~v211(constB183)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33046, 33007])).
% 83.93/53.54 tff(33048,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33049,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33050,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB183, constB184)) | v211(constB183) | (~v213(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 83.93/53.54 tff(33051,plain,
% 83.93/53.54 (v211(constB183) | (~v213(constB184))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33050, 4622, 31216])).
% 83.93/53.54 tff(33052,plain,
% 83.93/53.54 (~v213(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33051, 33047])).
% 83.93/53.54 tff(33053,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB184) | (~v214(constB184)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB184) | (~v214(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33054,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB184) | (~v214(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33055,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB184) | (~v214(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33054, 33053])).
% 83.93/53.54 tff(33056,plain,
% 83.93/53.54 (~v214(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33055, 4637, 33052])).
% 83.93/53.54 tff(33057,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33058,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB184)) | (~v184(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33059,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB184)) | (~v184(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33058, 33057])).
% 83.93/53.54 tff(33060,plain,
% 83.93/53.54 (~v184(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33059, 3901, 31236])).
% 83.93/53.54 tff(33061,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB184) | (~v217(constB184)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB184) | (~v217(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33062,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB184) | (~v217(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33063,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB184) | (~v217(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33062, 33061])).
% 83.93/53.54 tff(33064,plain,
% 83.93/53.54 (~v217(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33063, 4651, 33060])).
% 83.93/53.54 tff(33065,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB184) | (~v216(constB184)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB184) | (~v216(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33066,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB184) | (~v216(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33067,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB184) | (~v216(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33066, 33065])).
% 83.93/53.54 tff(33068,plain,
% 83.93/53.54 (~v216(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33067, 4565, 33064])).
% 83.93/53.54 tff(33069,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB184) | (~v215(constB184)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB184) | (~v215(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33070,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB184) | (~v215(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33071,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB184) | (~v215(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33070, 33069])).
% 83.93/53.54 tff(33072,plain,
% 83.93/53.54 (~v215(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33071, 4579, 33068])).
% 83.93/53.54 tff(33073,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB184) | v215(constB184) | (~v211(constB184)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB184) | v215(constB184) | (~v211(constB184)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33074,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB184) | v215(constB184) | (~v211(constB184)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33075,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB184) | v215(constB184) | (~v211(constB184))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 83.93/53.54 tff(33076,plain,
% 83.93/53.54 (v214(constB184) | (~v211(constB184))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33075, 4607, 33072])).
% 83.93/53.54 tff(33077,plain,
% 83.93/53.54 (~v211(constB184)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33076, 33056])).
% 83.93/53.54 tff(33078,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33079,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33080,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB184, constB185)) | v211(constB184) | (~v213(constB185))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33079, 33078])).
% 83.93/53.54 tff(33081,plain,
% 83.93/53.54 (v211(constB184) | (~v213(constB185))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33080, 4622, 31281])).
% 83.93/53.54 tff(33082,plain,
% 83.93/53.54 (~v213(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33081, 33077])).
% 83.93/53.54 tff(33083,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB185) | (~v245(constB185)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB185) | (~v245(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33084,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB185) | (~v245(constB185)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33085,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB185) | (~v245(constB185))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33084, 33083])).
% 83.93/53.54 tff(33086,plain,
% 83.93/53.54 (~v245(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33085, 4796, 33082])).
% 83.93/53.54 tff(33087,assumption,(v18(constB186)), introduced(assumption)).
% 83.93/53.54 tff(33088,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB186))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33089,plain,
% 83.93/53.54 ($false),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33088, 3600, 33087])).
% 83.93/53.54 tff(33090,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.54 tff(33091,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33092,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33093,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33092, 33091])).
% 83.93/53.54 tff(33094,plain,
% 83.93/53.54 (v22(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33093, 3613, 31574])).
% 83.93/53.54 tff(33095,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33096,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33097,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33096, 33095])).
% 83.93/53.54 tff(33098,plain,
% 83.93/53.54 (v18(constB186) | (~v19(constB186))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33097, 3627, 33094])).
% 83.93/53.54 tff(33099,plain,
% 83.93/53.54 (~v19(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33098, 33090])).
% 83.93/53.54 tff(33100,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33101,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33102,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33101, 33100])).
% 83.93/53.54 tff(33103,plain,
% 83.93/53.54 (v13(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33102, 3639, 33099])).
% 83.93/53.54 tff(33104,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33105,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33106,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33105, 33104])).
% 83.93/53.54 tff(33107,plain,
% 83.93/53.54 (v9(constB185) | (~v13(constB186))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33106, 3653, 31554])).
% 83.93/53.54 tff(33108,plain,
% 83.93/53.54 (v9(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33107, 33103])).
% 83.93/53.54 tff(33109,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33110,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v184(constB185))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33111,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB185) | (~v9(constB185)) | v184(constB185)),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 83.93/53.54 tff(33112,plain,
% 83.93/53.54 ((~v9(constB185)) | v184(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33111, 3668, 31278])).
% 83.93/53.54 tff(33113,plain,
% 83.93/53.54 (v184(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33112, 33108])).
% 83.93/53.54 tff(33114,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB185) | (~v184(constB185)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33115,plain,
% 83.93/53.54 (((~v184(constB185)) | v183(constB185)) <=> (v183(constB185) | (~v184(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33116,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB185) | (~v184(constB185))))),
% 83.93/53.54 inference(monotonicity,[status(thm)],[33115])).
% 83.93/53.54 tff(33117,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185)))),
% 83.93/53.54 inference(transitivity,[status(thm)],[33116, 33114])).
% 83.93/53.54 tff(33118,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB185)) | v183(constB185))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33119,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB185) | (~v184(constB185))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33118, 33117])).
% 83.93/53.54 tff(33120,plain,
% 83.93/53.54 (v183(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33119, 3680, 33113])).
% 83.93/53.54 tff(33121,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB185)) | (~v244(constB185)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB185)) | (~v244(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33122,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB185)) | (~v244(constB185)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33123,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB185)) | (~v244(constB185))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 83.93/53.54 tff(33124,plain,
% 83.93/53.54 (~v244(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33123, 4891, 33120])).
% 83.93/53.54 tff(33125,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB185) | v245(constB185) | (~v241(constB185)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB185) | v245(constB185) | (~v241(constB185)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33126,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB185) | v245(constB185) | (~v241(constB185)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33127,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB185) | v245(constB185) | (~v241(constB185))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 83.93/53.54 tff(33128,plain,
% 83.93/53.54 (v245(constB185) | (~v241(constB185))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33127, 4905, 33124])).
% 83.93/53.54 tff(33129,plain,
% 83.93/53.54 (~v241(constB185)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33128, 33086])).
% 83.93/53.54 tff(33130,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33131,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33132,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB185, constB186)) | v241(constB185) | (~v243(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33131, 33130])).
% 83.93/53.54 tff(33133,plain,
% 83.93/53.54 (v241(constB185) | (~v243(constB186))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33132, 4920, 31554])).
% 83.93/53.54 tff(33134,plain,
% 83.93/53.54 (~v243(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33133, 33129])).
% 83.93/53.54 tff(33135,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB186) | (~v244(constB186)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB186) | (~v244(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33136,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB186) | (~v244(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33137,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB186) | (~v244(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33136, 33135])).
% 83.93/53.54 tff(33138,plain,
% 83.93/53.54 (~v244(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33137, 4935, 33134])).
% 83.93/53.54 tff(33139,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33140,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB186)) | (~v184(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33141,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB186)) | (~v184(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33140, 33139])).
% 83.93/53.54 tff(33142,plain,
% 83.93/53.54 (~v184(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33141, 3901, 31574])).
% 83.93/53.54 tff(33143,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB186) | (~v247(constB186)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB186) | (~v247(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33144,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB186) | (~v247(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33145,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB186) | (~v247(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33144, 33143])).
% 83.93/53.54 tff(33146,plain,
% 83.93/53.54 (~v247(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33145, 4949, 33142])).
% 83.93/53.54 tff(33147,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB186) | (~v246(constB186)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB186) | (~v246(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33148,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB186) | (~v246(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33149,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB186) | (~v246(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33148, 33147])).
% 83.93/53.54 tff(33150,plain,
% 83.93/53.54 (~v246(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33149, 4863, 33146])).
% 83.93/53.54 tff(33151,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB186) | (~v245(constB186)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB186) | (~v245(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33152,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB186) | (~v245(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33153,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB186) | (~v245(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 83.93/53.54 tff(33154,plain,
% 83.93/53.54 (~v245(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33153, 4877, 33150])).
% 83.93/53.54 tff(33155,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB186) | v245(constB186) | (~v241(constB186)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB186) | v245(constB186) | (~v241(constB186)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33156,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB186) | v245(constB186) | (~v241(constB186)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33157,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB186) | v245(constB186) | (~v241(constB186))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33156, 33155])).
% 83.93/53.54 tff(33158,plain,
% 83.93/53.54 (v244(constB186) | (~v241(constB186))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33157, 4905, 33154])).
% 83.93/53.54 tff(33159,plain,
% 83.93/53.54 (~v241(constB186)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33158, 33138])).
% 83.93/53.54 tff(33160,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33161,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33162,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB186, constB187)) | v241(constB186) | (~v243(constB187))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33161, 33160])).
% 83.93/53.54 tff(33163,plain,
% 83.93/53.54 (v241(constB186) | (~v243(constB187))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33162, 4920, 31616])).
% 83.93/53.54 tff(33164,plain,
% 83.93/53.54 (~v243(constB187)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33163, 33159])).
% 83.93/53.54 tff(33165,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB187) | (~v260(constB187)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB187) | (~v260(constB187)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33166,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB187) | (~v260(constB187)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33167,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB187) | (~v260(constB187))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 83.93/53.54 tff(33168,plain,
% 83.93/53.54 (~v260(constB187)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33167, 5136, 33164])).
% 83.93/53.54 tff(33169,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB187)) | (~v259(constB187)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB187)) | (~v259(constB187)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33170,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB187)) | (~v259(constB187)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33171,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB187)) | (~v259(constB187))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 83.93/53.54 tff(33172,plain,
% 83.93/53.54 (~v259(constB187)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33171, 5122, 32719])).
% 83.93/53.54 tff(33173,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB187) | v260(constB187) | (~v256(constB187)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB187) | v260(constB187) | (~v256(constB187)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33174,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB187) | v260(constB187) | (~v256(constB187)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33175,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB187) | v260(constB187) | (~v256(constB187))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33174, 33173])).
% 83.93/53.54 tff(33176,plain,
% 83.93/53.54 (v260(constB187) | (~v256(constB187))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33175, 5150, 33172])).
% 83.93/53.54 tff(33177,plain,
% 83.93/53.54 (~v256(constB187)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33176, 33168])).
% 83.93/53.54 tff(33178,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB187, constB188)) | v256(constB187) | (~v258(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB187, constB188)) | v256(constB187) | (~v258(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33179,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB187, constB188)) | v256(constB187) | (~v258(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33180,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB187, constB188)) | v256(constB187) | (~v258(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33179, 33178])).
% 83.93/53.54 tff(33181,plain,
% 83.93/53.54 (v256(constB187) | (~v258(constB188))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33180, 5165, 31744])).
% 83.93/53.54 tff(33182,plain,
% 83.93/53.54 (~v258(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33181, 33177])).
% 83.93/53.54 tff(33183,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB188) | (~v259(constB188)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB188) | (~v259(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33184,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB188) | (~v259(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33185,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB188) | (~v259(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 83.93/53.54 tff(33186,plain,
% 83.93/53.54 (~v259(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33185, 5180, 33182])).
% 83.93/53.54 tff(33187,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB188) | (~v262(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB188) | (~v262(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33188,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB188) | (~v262(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33189,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB188) | (~v262(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33188, 33187])).
% 83.93/53.54 tff(33190,plain,
% 83.93/53.54 (~v262(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33189, 3915, 32741])).
% 83.93/53.54 tff(33191,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB188) | (~v261(constB188)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB188) | (~v261(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33192,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB188) | (~v261(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33193,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB188) | (~v261(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33192, 33191])).
% 83.93/53.54 tff(33194,plain,
% 83.93/53.54 (~v261(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33193, 3829, 33190])).
% 83.93/53.54 tff(33195,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB188) | (~v260(constB188)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB188) | (~v260(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33196,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB188) | (~v260(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33197,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB188) | (~v260(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 83.93/53.54 tff(33198,plain,
% 83.93/53.54 (~v260(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33197, 5194, 33194])).
% 83.93/53.54 tff(33199,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB188) | v260(constB188) | (~v256(constB188)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB188) | v260(constB188) | (~v256(constB188)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33200,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB188) | v260(constB188) | (~v256(constB188)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33201,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB188) | v260(constB188) | (~v256(constB188))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 83.93/53.54 tff(33202,plain,
% 83.93/53.54 (v259(constB188) | (~v256(constB188))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33201, 5150, 33198])).
% 83.93/53.54 tff(33203,plain,
% 83.93/53.54 (~v256(constB188)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33202, 33186])).
% 83.93/53.54 tff(33204,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB188, constB189)) | v256(constB188) | (~v258(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB188, constB189)) | v256(constB188) | (~v258(constB189)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33205,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB188, constB189)) | v256(constB188) | (~v258(constB189)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33206,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB188, constB189)) | v256(constB188) | (~v258(constB189))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33205, 33204])).
% 83.93/53.54 tff(33207,plain,
% 83.93/53.54 (v256(constB188) | (~v258(constB189))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33206, 5165, 31806])).
% 83.93/53.54 tff(33208,plain,
% 83.93/53.54 (~v258(constB189)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33207, 33203])).
% 83.93/53.54 tff(33209,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB189) | (~v271(constB189)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB189) | (~v271(constB189)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33210,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB189) | (~v271(constB189)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33211,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB189) | (~v271(constB189))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33210, 33209])).
% 83.93/53.54 tff(33212,plain,
% 83.93/53.54 (~v271(constB189)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33211, 23584, 33208])).
% 83.93/53.54 tff(33213,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB189)) | (~v270(constB189)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB189)) | (~v270(constB189)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33214,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB189)) | (~v270(constB189)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33215,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB189)) | (~v270(constB189))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33214, 33213])).
% 83.93/53.54 tff(33216,plain,
% 83.93/53.54 (~v270(constB189)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33215, 3694, 32540])).
% 83.93/53.54 tff(33217,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB189) | v271(constB189) | (~v267(constB189)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB189) | v271(constB189) | (~v267(constB189)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33218,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB189) | v271(constB189) | (~v267(constB189)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33219,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB189) | v271(constB189) | (~v267(constB189))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33218, 33217])).
% 83.93/53.54 tff(33220,plain,
% 83.93/53.54 (v271(constB189) | (~v267(constB189))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33219, 3857, 33216])).
% 83.93/53.54 tff(33221,plain,
% 83.93/53.54 (~v267(constB189)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33220, 33212])).
% 83.93/53.54 tff(33222,plain,
% 83.93/53.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB189, constB190)) | v267(constB189) | (~v269(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB189, constB190)) | v267(constB189) | (~v269(constB190)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33223,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB189, constB190)) | v267(constB189) | (~v269(constB190)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33224,plain,
% 83.93/53.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB189, constB190)) | v267(constB189) | (~v269(constB190))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33223, 33222])).
% 83.93/53.54 tff(33225,plain,
% 83.93/53.54 (v267(constB189) | (~v269(constB190))),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33224, 3872, 31936])).
% 83.93/53.54 tff(33226,plain,
% 83.93/53.54 (~v269(constB190)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33225, 33221])).
% 83.93/53.54 tff(33227,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB190) | (~v270(constB190)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB190) | (~v270(constB190)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33228,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB190) | (~v270(constB190)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33229,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB190) | (~v270(constB190))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33228, 33227])).
% 83.93/53.54 tff(33230,plain,
% 83.93/53.54 (~v270(constB190)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33229, 3887, 33226])).
% 83.93/53.54 tff(33231,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB190) | (~v262(constB190)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB190) | (~v262(constB190)))),
% 83.93/53.54 inference(rewrite,[status(thm)],[])).
% 83.93/53.54 tff(33232,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB190) | (~v262(constB190)))),
% 83.93/53.54 inference(quant_inst,[status(thm)],[])).
% 83.93/53.54 tff(33233,plain,
% 83.93/53.54 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB190) | (~v262(constB190))),
% 83.93/53.54 inference(modus_ponens,[status(thm)],[33232, 33231])).
% 83.93/53.54 tff(33234,plain,
% 83.93/53.54 (~v262(constB190)),
% 83.93/53.54 inference(unit_resolution,[status(thm)],[33233, 3915, 29612])).
% 83.93/53.54 tff(33235,plain,
% 83.93/53.54 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB190) | (~v261(constB190)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB190) | (~v261(constB190)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33236,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB190) | (~v261(constB190)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33237,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB190) | (~v261(constB190))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33236, 33235])).
% 83.93/53.55 tff(33238,plain,
% 83.93/53.55 (~v261(constB190)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33237, 3829, 33234])).
% 83.93/53.55 tff(33239,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB190) | (~v271(constB190)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB190) | (~v271(constB190)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33240,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB190) | (~v271(constB190)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33241,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB190) | (~v271(constB190))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 83.93/53.55 tff(33242,plain,
% 83.93/53.55 (~v271(constB190)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33241, 3843, 33238])).
% 83.93/53.55 tff(33243,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB190) | v271(constB190) | (~v267(constB190)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB190) | v271(constB190) | (~v267(constB190)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33244,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB190) | v271(constB190) | (~v267(constB190)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33245,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB190) | v271(constB190) | (~v267(constB190))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 83.93/53.55 tff(33246,plain,
% 83.93/53.55 (v270(constB190) | (~v267(constB190))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33245, 3857, 33242])).
% 83.93/53.55 tff(33247,plain,
% 83.93/53.55 (~v267(constB190)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33246, 33230])).
% 83.93/53.55 tff(33248,plain,
% 83.93/53.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB190, constB191)) | v267(constB190) | (~v269(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB190, constB191)) | v267(constB190) | (~v269(constB191)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33249,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB190, constB191)) | v267(constB190) | (~v269(constB191)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33250,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB190, constB191)) | v267(constB190) | (~v269(constB191))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33249, 33248])).
% 83.93/53.55 tff(33251,plain,
% 83.93/53.55 (v267(constB190) | (~v269(constB191))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33250, 3872, 31995])).
% 83.93/53.55 tff(33252,plain,
% 83.93/53.55 (~v269(constB191)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33251, 33247])).
% 83.93/53.55 tff(33253,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB191) | (~v282(constB191)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB191) | (~v282(constB191)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33254,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB191) | (~v282(constB191)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33255,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB191) | (~v282(constB191))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33254, 33253])).
% 83.93/53.55 tff(33256,plain,
% 83.93/53.55 (~v282(constB191)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33255, 23952, 33252])).
% 83.93/53.55 tff(33257,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB191)) | (~v281(constB191)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB191)) | (~v281(constB191)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33258,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB191)) | (~v281(constB191)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33259,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB191)) | (~v281(constB191))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 83.93/53.55 tff(33260,plain,
% 83.93/53.55 (~v281(constB191)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33259, 23966, 32408])).
% 83.93/53.55 tff(33261,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB191) | v282(constB191) | (~v278(constB191)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB191) | v282(constB191) | (~v278(constB191)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33262,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB191) | v282(constB191) | (~v278(constB191)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33263,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB191) | v282(constB191) | (~v278(constB191))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 83.93/53.55 tff(33264,plain,
% 83.93/53.55 (v282(constB191) | (~v278(constB191))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33263, 23980, 33260])).
% 83.93/53.55 tff(33265,plain,
% 83.93/53.55 (~v278(constB191)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33264, 33256])).
% 83.93/53.55 tff(33266,plain,
% 83.93/53.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB191, constB192)) | v278(constB191) | (~v280(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB191, constB192)) | v278(constB191) | (~v280(constB192)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33267,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB191, constB192)) | v278(constB191) | (~v280(constB192)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33268,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB191, constB192)) | v278(constB191) | (~v280(constB192))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 83.93/53.55 tff(33269,plain,
% 83.93/53.55 (v278(constB191) | (~v280(constB192))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33268, 23995, 32118])).
% 83.93/53.55 tff(33270,plain,
% 83.93/53.55 (~v280(constB192)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33269, 33265])).
% 83.93/53.55 tff(33271,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB192) | (~v281(constB192)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB192) | (~v281(constB192)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33272,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB192) | (~v281(constB192)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33273,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB192) | (~v281(constB192))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33272, 33271])).
% 83.93/53.55 tff(33274,plain,
% 83.93/53.55 (~v281(constB192)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33273, 24010, 33270])).
% 83.93/53.55 tff(33275,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB192) | (~v282(constB192)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB192) | (~v282(constB192)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33276,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB192) | (~v282(constB192)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33277,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB192) | (~v282(constB192))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33276, 33275])).
% 83.93/53.55 tff(33278,plain,
% 83.93/53.55 (~v282(constB192)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33277, 24024, 32606])).
% 83.93/53.55 tff(33279,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB192) | v282(constB192) | (~v278(constB192)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB192) | v282(constB192) | (~v278(constB192)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33280,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB192) | v282(constB192) | (~v278(constB192)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33281,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB192) | v282(constB192) | (~v278(constB192))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33280, 33279])).
% 83.93/53.55 tff(33282,plain,
% 83.93/53.55 (v281(constB192) | (~v278(constB192))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33281, 23980, 33278])).
% 83.93/53.55 tff(33283,plain,
% 83.93/53.55 (~v278(constB192)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33282, 33274])).
% 83.93/53.55 tff(33284,plain,
% 83.93/53.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB192, constB193)) | v278(constB192) | (~v280(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB192, constB193)) | v278(constB192) | (~v280(constB193)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33285,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB192, constB193)) | v278(constB192) | (~v280(constB193)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33286,plain,
% 83.93/53.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB192, constB193)) | v278(constB192) | (~v280(constB193))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33285, 33284])).
% 83.93/53.55 tff(33287,plain,
% 83.93/53.55 (v278(constB192) | (~v280(constB193))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33286, 23995, 32183])).
% 83.93/53.55 tff(33288,plain,
% 83.93/53.55 (~v280(constB193)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33287, 33283])).
% 83.93/53.55 tff(33289,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB193) | (~v309(constB193)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB193) | (~v309(constB193)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33290,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB193) | (~v309(constB193)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33291,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB193) | (~v309(constB193))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33290, 33289])).
% 83.93/53.55 tff(33292,plain,
% 83.93/53.55 (~v309(constB193)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33291, 24048, 33288])).
% 83.93/53.55 tff(33293,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v288(constB193) | v309(constB193) | (~v289(constB193)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB193) | v309(constB193) | (~v289(constB193)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33294,plain,
% 83.93/53.55 ((v309(constB193) | v288(constB193) | (~v289(constB193))) <=> (v288(constB193) | v309(constB193) | (~v289(constB193)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33295,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB193) | v288(constB193) | (~v289(constB193)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v288(constB193) | v309(constB193) | (~v289(constB193))))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33294])).
% 83.93/53.55 tff(33296,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB193) | v288(constB193) | (~v289(constB193)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB193) | v309(constB193) | (~v289(constB193)))),
% 83.93/53.55 inference(transitivity,[status(thm)],[33295, 33293])).
% 83.93/53.55 tff(33297,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB193) | v288(constB193) | (~v289(constB193)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33298,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v288(constB193) | v309(constB193) | (~v289(constB193))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33297, 33296])).
% 83.93/53.55 tff(33299,plain,
% 83.93/53.55 (v288(constB193) | (~v289(constB193))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33298, 5107, 33292])).
% 83.93/53.55 tff(33300,plain,
% 83.93/53.55 (v288(constB193)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33299, 32864])).
% 83.93/53.55 tff(33301,plain,
% 83.93/53.55 ($false),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33300, 29694])).
% 83.93/53.55 tff(33302,plain,((~(constB193 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.55 tff(33303,plain,
% 83.93/53.55 (~(constB193 = sK_VarCurr)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33302, 5240])).
% 83.93/53.55 tff(33304,assumption,(constB106 = sK_VarCurr), introduced(assumption)).
% 83.93/53.55 tff(33305,plain,
% 83.93/53.55 (v288(constB106) <=> v288(sK_VarCurr)),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33304])).
% 83.93/53.55 tff(33306,plain,
% 83.93/53.55 (v288(sK_VarCurr) <=> v288(constB106)),
% 83.93/53.55 inference(symmetry,[status(thm)],[33305])).
% 83.93/53.55 tff(33307,plain,
% 83.93/53.55 ((~v288(sK_VarCurr)) <=> (~v288(constB106))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33306])).
% 83.93/53.55 tff(33308,plain,
% 83.93/53.55 (~v288(constB106)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[5240, 33307])).
% 83.93/53.55 tff(33309,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33310,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB106)) | (~v184(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33311,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB106)) | (~v184(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 83.93/53.55 tff(33312,plain,
% 83.93/53.55 (~v184(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33311, 3901, 15139])).
% 83.93/53.55 tff(33313,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB106) | (~v295(constB106)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB106) | (~v295(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33314,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB106) | (~v295(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33315,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB106) | (~v295(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33314, 33313])).
% 83.93/53.55 tff(33316,plain,
% 83.93/53.55 (~v295(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33315, 22562, 33312])).
% 83.93/53.55 tff(33317,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB106) | (~v294(constB106)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB106) | (~v294(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33318,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB106) | (~v294(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33319,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB106) | (~v294(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 83.93/53.55 tff(33320,plain,
% 83.93/53.55 (~v294(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33319, 15964, 33316])).
% 83.93/53.55 tff(33321,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB106) | (~v293(constB106)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB106) | (~v293(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33322,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB106) | (~v293(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33323,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB106) | (~v293(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33322, 33321])).
% 83.93/53.55 tff(33324,plain,
% 83.93/53.55 (~v293(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33323, 15978, 33320])).
% 83.93/53.55 tff(33325,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB106) | (~v299(constB106)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB106) | (~v299(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33326,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB106) | (~v299(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33327,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB106) | (~v299(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33326, 33325])).
% 83.93/53.55 tff(33328,plain,
% 83.93/53.55 (~v299(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33327, 22584, 33312])).
% 83.93/53.55 tff(33329,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB106) | (~v298(constB106)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB106) | (~v298(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33330,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB106) | (~v298(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33331,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB106) | (~v298(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33330, 33329])).
% 83.93/53.55 tff(33332,plain,
% 83.93/53.55 (~v298(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33331, 19336, 33328])).
% 83.93/53.55 tff(33333,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB106) | (~v297(constB106)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB106) | (~v297(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33334,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB106) | (~v297(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33335,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB106) | (~v297(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33334, 33333])).
% 83.93/53.55 tff(33336,plain,
% 83.93/53.55 (~v297(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33335, 19350, 33332])).
% 83.93/53.55 tff(33337,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB106) | v297(constB106) | (~v292(constB106)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB106) | v297(constB106) | (~v292(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33338,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB106) | v297(constB106) | (~v292(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33339,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB106) | v297(constB106) | (~v292(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33338, 33337])).
% 83.93/53.55 tff(33340,plain,
% 83.93/53.55 (~v292(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33339, 4781, 33336, 33324])).
% 83.93/53.55 tff(33341,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB106) | (~v304(constB106)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB106) | (~v304(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33342,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB106) | (~v304(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33343,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB106) | (~v304(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33342, 33341])).
% 83.93/53.55 tff(33344,plain,
% 83.93/53.55 (~v304(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33343, 22610, 33312])).
% 83.93/53.55 tff(33345,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB106) | (~v303(constB106)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB106) | (~v303(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33346,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB106) | (~v303(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33347,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB106) | (~v303(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33346, 33345])).
% 83.93/53.55 tff(33348,plain,
% 83.93/53.55 (~v303(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33347, 21948, 33344])).
% 83.93/53.55 tff(33349,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB106) | (~v302(constB106)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB106) | (~v302(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33350,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB106) | (~v302(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33351,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB106) | (~v302(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33350, 33349])).
% 83.93/53.55 tff(33352,plain,
% 83.93/53.55 (~v302(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33351, 21962, 33348])).
% 83.93/53.55 tff(33353,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB106) | v292(constB106) | v290(constB106))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB106) | v292(constB106) | v290(constB106))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33354,plain,
% 83.93/53.55 ((v292(constB106) | v302(constB106) | v290(constB106)) <=> (v302(constB106) | v292(constB106) | v290(constB106))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33355,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB106) | v302(constB106) | v290(constB106))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB106) | v292(constB106) | v290(constB106)))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33354])).
% 83.93/53.55 tff(33356,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB106) | v302(constB106) | v290(constB106))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB106) | v292(constB106) | v290(constB106))),
% 83.93/53.55 inference(transitivity,[status(thm)],[33355, 33353])).
% 83.93/53.55 tff(33357,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB106) | v302(constB106) | v290(constB106))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33358,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB106) | v292(constB106) | v290(constB106)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 83.93/53.55 tff(33359,plain,
% 83.93/53.55 (v292(constB106) | v290(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33358, 5074, 33352])).
% 83.93/53.55 tff(33360,plain,
% 83.93/53.55 (v290(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33359, 33340])).
% 83.93/53.55 tff(33361,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB106) | (~v307(constB106)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB106) | (~v307(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33362,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB106) | (~v307(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33363,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB106) | (~v307(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 83.93/53.55 tff(33364,plain,
% 83.93/53.55 (~v307(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33363, 22640, 33320])).
% 83.93/53.55 tff(33365,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB106) | v289(constB106) | (~v290(constB106)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB106) | v289(constB106) | (~v290(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33366,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB106) | v289(constB106) | (~v290(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33367,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB106) | v289(constB106) | (~v290(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33366, 33365])).
% 83.93/53.55 tff(33368,plain,
% 83.93/53.55 (v289(constB106) | (~v290(constB106))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33367, 5092, 33364])).
% 83.93/53.55 tff(33369,plain,
% 83.93/53.55 (v289(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33368, 33360])).
% 83.93/53.55 tff(33370,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB106) | (~v311(constB106)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB106) | (~v311(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33371,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB106) | (~v311(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33372,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB106) | (~v311(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33371, 33370])).
% 83.93/53.55 tff(33373,plain,
% 83.93/53.55 (~v311(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33372, 22659, 33312])).
% 83.93/53.55 tff(33374,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB106) | (~v310(constB106)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB106) | (~v310(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33375,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB106) | (~v310(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33376,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB106) | (~v310(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33375, 33374])).
% 83.93/53.55 tff(33377,plain,
% 83.93/53.55 (~v310(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33376, 3574, 33373])).
% 83.93/53.55 tff(33378,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB106) | (~v309(constB106)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB106) | (~v309(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33379,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB106) | (~v309(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33380,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB106) | (~v309(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33379, 33378])).
% 83.93/53.55 tff(33381,plain,
% 83.93/53.55 (~v309(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33380, 3588, 33377])).
% 83.93/53.55 tff(33382,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB106) | v288(constB106) | (~v289(constB106)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB106) | v288(constB106) | (~v289(constB106)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33383,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB106) | v288(constB106) | (~v289(constB106)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33384,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB106) | v288(constB106) | (~v289(constB106))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33383, 33382])).
% 83.93/53.55 tff(33385,plain,
% 83.93/53.55 (v288(constB106) | (~v289(constB106))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33384, 5107, 33381])).
% 83.93/53.55 tff(33386,plain,
% 83.93/53.55 (v288(constB106)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33385, 33369])).
% 83.93/53.55 tff(33387,plain,
% 83.93/53.55 ($false),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33386, 33308])).
% 83.93/53.55 tff(33388,plain,((~(constB106 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.55 tff(33389,plain,
% 83.93/53.55 (~(constB106 = sK_VarCurr)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33388, 5240])).
% 83.93/53.55 tff(33390,assumption,(constB166 = sK_VarCurr), introduced(assumption)).
% 83.93/53.55 tff(33391,plain,
% 83.93/53.55 (v288(constB166) <=> v288(sK_VarCurr)),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33390])).
% 83.93/53.55 tff(33392,plain,
% 83.93/53.55 (v288(sK_VarCurr) <=> v288(constB166)),
% 83.93/53.55 inference(symmetry,[status(thm)],[33391])).
% 83.93/53.55 tff(33393,plain,
% 83.93/53.55 ((~v288(sK_VarCurr)) <=> (~v288(constB166))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33392])).
% 83.93/53.55 tff(33394,plain,
% 83.93/53.55 (~v288(constB166)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[5240, 33393])).
% 83.93/53.55 tff(33395,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB166) | (~v295(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB166) | (~v295(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33396,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB166) | (~v295(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33397,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB166) | (~v295(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 83.93/53.55 tff(33398,plain,
% 83.93/53.55 (~v295(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33397, 22562, 28744])).
% 83.93/53.55 tff(33399,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB166) | (~v294(constB166)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB166) | (~v294(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33400,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB166) | (~v294(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33401,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB166) | (~v294(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 83.93/53.55 tff(33402,plain,
% 83.93/53.55 (~v294(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33401, 15964, 33398])).
% 83.93/53.55 tff(33403,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB166) | (~v293(constB166)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB166) | (~v293(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33404,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB166) | (~v293(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33405,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB166) | (~v293(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33404, 33403])).
% 83.93/53.55 tff(33406,plain,
% 83.93/53.55 (~v293(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33405, 15978, 33402])).
% 83.93/53.55 tff(33407,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB166) | (~v299(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB166) | (~v299(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33408,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB166) | (~v299(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33409,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB166) | (~v299(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33408, 33407])).
% 83.93/53.55 tff(33410,plain,
% 83.93/53.55 (~v299(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33409, 22584, 28744])).
% 83.93/53.55 tff(33411,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB166) | (~v298(constB166)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB166) | (~v298(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33412,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB166) | (~v298(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33413,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB166) | (~v298(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33412, 33411])).
% 83.93/53.55 tff(33414,plain,
% 83.93/53.55 (~v298(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33413, 19336, 33410])).
% 83.93/53.55 tff(33415,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB166) | (~v297(constB166)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB166) | (~v297(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33416,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB166) | (~v297(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33417,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB166) | (~v297(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 83.93/53.55 tff(33418,plain,
% 83.93/53.55 (~v297(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33417, 19350, 33414])).
% 83.93/53.55 tff(33419,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB166) | v297(constB166) | (~v292(constB166)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB166) | v297(constB166) | (~v292(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33420,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB166) | v297(constB166) | (~v292(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33421,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB166) | v297(constB166) | (~v292(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 83.93/53.55 tff(33422,plain,
% 83.93/53.55 (~v292(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33421, 4781, 33418, 33406])).
% 83.93/53.55 tff(33423,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB166) | (~v304(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB166) | (~v304(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33424,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB166) | (~v304(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33425,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB166) | (~v304(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 83.93/53.55 tff(33426,plain,
% 83.93/53.55 (~v304(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33425, 22610, 28744])).
% 83.93/53.55 tff(33427,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB166) | (~v303(constB166)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB166) | (~v303(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33428,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB166) | (~v303(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33429,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB166) | (~v303(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33428, 33427])).
% 83.93/53.55 tff(33430,plain,
% 83.93/53.55 (~v303(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33429, 21948, 33426])).
% 83.93/53.55 tff(33431,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB166) | (~v302(constB166)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB166) | (~v302(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33432,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB166) | (~v302(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33433,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB166) | (~v302(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33432, 33431])).
% 83.93/53.55 tff(33434,plain,
% 83.93/53.55 (~v302(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33433, 21962, 33430])).
% 83.93/53.55 tff(33435,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB166) | v292(constB166) | v290(constB166))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB166) | v292(constB166) | v290(constB166))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33436,plain,
% 83.93/53.55 ((v292(constB166) | v302(constB166) | v290(constB166)) <=> (v302(constB166) | v292(constB166) | v290(constB166))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33437,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB166) | v302(constB166) | v290(constB166))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB166) | v292(constB166) | v290(constB166)))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33436])).
% 83.93/53.55 tff(33438,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB166) | v302(constB166) | v290(constB166))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB166) | v292(constB166) | v290(constB166))),
% 83.93/53.55 inference(transitivity,[status(thm)],[33437, 33435])).
% 83.93/53.55 tff(33439,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB166) | v302(constB166) | v290(constB166))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33440,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB166) | v292(constB166) | v290(constB166)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33439, 33438])).
% 83.93/53.55 tff(33441,plain,
% 83.93/53.55 (v292(constB166) | v290(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33440, 5074, 33434])).
% 83.93/53.55 tff(33442,plain,
% 83.93/53.55 (v290(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33441, 33422])).
% 83.93/53.55 tff(33443,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB166) | (~v307(constB166)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB166) | (~v307(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33444,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB166) | (~v307(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33445,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB166) | (~v307(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33444, 33443])).
% 83.93/53.55 tff(33446,plain,
% 83.93/53.55 (~v307(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33445, 22640, 33402])).
% 83.93/53.55 tff(33447,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB166) | v289(constB166) | (~v290(constB166)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB166) | v289(constB166) | (~v290(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33448,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB166) | v289(constB166) | (~v290(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33449,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB166) | v289(constB166) | (~v290(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33448, 33447])).
% 83.93/53.55 tff(33450,plain,
% 83.93/53.55 (v289(constB166) | (~v290(constB166))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33449, 5092, 33446])).
% 83.93/53.55 tff(33451,plain,
% 83.93/53.55 (v289(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33450, 33442])).
% 83.93/53.55 tff(33452,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB166) | (~v311(constB166)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB166) | (~v311(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33453,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB166) | (~v311(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33454,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB166) | (~v311(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 83.93/53.55 tff(33455,plain,
% 83.93/53.55 (~v311(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33454, 22659, 28744])).
% 83.93/53.55 tff(33456,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB166) | (~v310(constB166)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB166) | (~v310(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33457,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB166) | (~v310(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33458,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB166) | (~v310(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 83.93/53.55 tff(33459,plain,
% 83.93/53.55 (~v310(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33458, 3574, 33455])).
% 83.93/53.55 tff(33460,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB166) | (~v309(constB166)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB166) | (~v309(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33461,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB166) | (~v309(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33462,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB166) | (~v309(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33461, 33460])).
% 83.93/53.55 tff(33463,plain,
% 83.93/53.55 (~v309(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33462, 3588, 33459])).
% 83.93/53.55 tff(33464,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB166) | v288(constB166) | (~v289(constB166)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB166) | v288(constB166) | (~v289(constB166)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33465,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB166) | v288(constB166) | (~v289(constB166)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33466,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB166) | v288(constB166) | (~v289(constB166))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33465, 33464])).
% 83.93/53.55 tff(33467,plain,
% 83.93/53.55 (v288(constB166) | (~v289(constB166))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33466, 5107, 33463])).
% 83.93/53.55 tff(33468,plain,
% 83.93/53.55 (v288(constB166)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33467, 33451])).
% 83.93/53.55 tff(33469,plain,
% 83.93/53.55 ($false),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33468, 33394])).
% 83.93/53.55 tff(33470,plain,((~(constB166 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.55 tff(33471,plain,
% 83.93/53.55 (~(constB166 = sK_VarCurr)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33470, 5240])).
% 83.93/53.55 tff(33472,assumption,(constB69 = sK_VarCurr), introduced(assumption)).
% 83.93/53.55 tff(33473,plain,
% 83.93/53.55 (v288(constB69) <=> v288(sK_VarCurr)),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33472])).
% 83.93/53.55 tff(33474,plain,
% 83.93/53.55 (v288(sK_VarCurr) <=> v288(constB69)),
% 83.93/53.55 inference(symmetry,[status(thm)],[33473])).
% 83.93/53.55 tff(33475,plain,
% 83.93/53.55 ((~v288(sK_VarCurr)) <=> (~v288(constB69))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33474])).
% 83.93/53.55 tff(33476,plain,
% 83.93/53.55 (~v288(constB69)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[5240, 33475])).
% 83.93/53.55 tff(33477,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v229(constB69)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB69) | v140(constB69) | (~v229(constB69)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33478,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v229(constB69)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33479,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v229(VarCurr)))) | v139(constB69) | v140(constB69) | (~v229(constB69))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 83.93/53.55 tff(33480,plain,
% 83.93/53.55 (~v229(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33479, 4441, 23652, 23648])).
% 83.93/53.55 tff(33481,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB69)) | (~v88(constB69, 2)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33482,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB69)) | (~v88(constB69, 2)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33483,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB69)) | (~v88(constB69, 2))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 83.93/53.55 tff(33484,plain,
% 83.93/53.55 (~v141(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33483, 4452, 23644])).
% 83.93/53.55 tff(33485,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v229(constB69) | (~v228(constB69)) | v141(constB69))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v229(constB69) | (~v228(constB69)) | v141(constB69))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33486,plain,
% 83.93/53.55 ((v141(constB69) | (~v228(constB69)) | v229(constB69)) <=> (v229(constB69) | (~v228(constB69)) | v141(constB69))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33487,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB69) | (~v228(constB69)) | v229(constB69))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v229(constB69) | (~v228(constB69)) | v141(constB69)))),
% 83.93/53.55 inference(monotonicity,[status(thm)],[33486])).
% 83.93/53.55 tff(33488,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB69) | (~v228(constB69)) | v229(constB69))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v229(constB69) | (~v228(constB69)) | v141(constB69))),
% 83.93/53.55 inference(transitivity,[status(thm)],[33487, 33485])).
% 83.93/53.55 tff(33489,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | (v141(constB69) | (~v228(constB69)) | v229(constB69))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33490,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v228(VarCurr)) | v229(VarCurr))) | v229(constB69) | (~v228(constB69)) | v141(constB69)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33489, 33488])).
% 83.93/53.55 tff(33491,plain,
% 83.93/53.55 (v229(constB69) | (~v228(constB69))),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33490, 4466, 33484])).
% 83.93/53.55 tff(33492,plain,
% 83.93/53.55 (~v228(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33491, 33480])).
% 83.93/53.55 tff(33493,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB69)) | v88(constB69, 1))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB69)) | v88(constB69, 1))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33494,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB69)) | v88(constB69, 1))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33495,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB69)) | v88(constB69, 1)),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 83.93/53.55 tff(33496,plain,
% 83.93/53.55 (~v144(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33495, 4478, 23660])).
% 83.93/53.55 tff(33497,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB69)) | (~v88(constB69, 2)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33498,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB69)) | (~v88(constB69, 2)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33499,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB69)) | (~v88(constB69, 2))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 83.93/53.55 tff(33500,plain,
% 83.93/53.55 (~v143(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33499, 4489, 23644])).
% 83.93/53.55 tff(33501,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB69) | v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB69) | v144(constB69) | (~v142(constB69)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33502,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB69) | v144(constB69) | (~v142(constB69)))),
% 83.93/53.55 inference(quant_inst,[status(thm)],[])).
% 83.93/53.55 tff(33503,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB69) | v144(constB69) | (~v142(constB69))),
% 83.93/53.55 inference(modus_ponens,[status(thm)],[33502, 33501])).
% 83.93/53.55 tff(33504,plain,
% 83.93/53.55 (~v142(constB69)),
% 83.93/53.55 inference(unit_resolution,[status(thm)],[33503, 4503, 33500, 33496])).
% 83.93/53.55 tff(33505,plain,
% 83.93/53.55 (((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB69) | v228(constB69) | (~v227(constB69)))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB69) | v228(constB69) | (~v227(constB69)))),
% 83.93/53.55 inference(rewrite,[status(thm)],[])).
% 83.93/53.55 tff(33506,plain,
% 83.93/53.55 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | (v142(constB69) | v228(constB69) | (~v227(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33507,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v142(VarCurr) | v228(VarCurr) | (~v227(VarCurr)))) | v142(constB69) | v228(constB69) | (~v227(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 83.93/53.56 tff(33508,plain,
% 83.93/53.56 (~v227(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33507, 21869, 33504, 33492])).
% 83.93/53.56 tff(33509,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB69) | v230(constB69))) <=> ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB69) | v230(constB69))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33510,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | (v227(constB69) | v230(constB69))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33511,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v227(VarCurr) | v230(VarCurr))) | v227(constB69) | v230(constB69)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 83.93/53.56 tff(33512,plain,
% 83.93/53.56 (v230(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33511, 21880, 33508])).
% 83.93/53.56 tff(33513,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB69) | (~v226(constB69)) | (~v230(constB69)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB69) | (~v226(constB69)) | (~v230(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33514,plain,
% 83.93/53.56 (((~v226(constB69)) | (~v230(constB69)) | v223(constB69)) <=> (v223(constB69) | (~v226(constB69)) | (~v230(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33515,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB69)) | (~v230(constB69)) | v223(constB69))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | (v223(constB69) | (~v226(constB69)) | (~v230(constB69))))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33514])).
% 83.93/53.56 tff(33516,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB69)) | (~v230(constB69)) | v223(constB69))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB69) | (~v226(constB69)) | (~v230(constB69)))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33515, 33513])).
% 83.93/53.56 tff(33517,plain,
% 83.93/53.56 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | ((~v226(constB69)) | (~v230(constB69)) | v223(constB69))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33518,plain,
% 83.93/53.56 ((~![VarNext: state_type] : ((~v226(VarNext)) | (~v230(VarNext)) | v223(VarNext))) | v223(constB69) | (~v226(constB69)) | (~v230(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33517, 33516])).
% 83.93/53.56 tff(33519,plain,
% 83.93/53.56 (v223(constB69) | (~v230(constB69))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33518, 21916, 23685])).
% 83.93/53.56 tff(33520,plain,
% 83.93/53.56 (v223(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33519, 33512])).
% 83.93/53.56 tff(33521,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB69)) | (~v304(constB69)))) <=> ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB69)) | (~v304(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33522,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | ((~v223(constB69)) | (~v304(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33523,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v223(VarCurr)) | (~v304(VarCurr)))) | (~v223(constB69)) | (~v304(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33522, 33521])).
% 83.93/53.56 tff(33524,plain,
% 83.93/53.56 (~v304(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33523, 21934, 33520])).
% 83.93/53.56 tff(33525,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB69) | (~v303(constB69)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB69) | (~v303(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33526,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB69) | (~v303(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33527,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB69) | (~v303(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33526, 33525])).
% 83.93/53.56 tff(33528,plain,
% 83.93/53.56 (~v303(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33527, 21948, 33524])).
% 83.93/53.56 tff(33529,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB69) | (~v302(constB69)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB69) | (~v302(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33530,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB69) | (~v302(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33531,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB69) | (~v302(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33530, 33529])).
% 83.93/53.56 tff(33532,plain,
% 83.93/53.56 (~v302(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33531, 21962, 33528])).
% 83.93/53.56 tff(33533,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33534,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB67, 2)) | v90(constB67, 2))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33535,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB67, 2)) | v90(constB67, 2)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33534, 33533])).
% 83.93/53.56 tff(33536,plain,
% 83.93/53.56 (~v88(constB67, 2)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33535, 3360, 9721])).
% 83.93/53.56 tff(33537,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33538,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB67, 1)) | v88(constB67, 1))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33539,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB67, 1)) | v88(constB67, 1)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33538, 33537])).
% 83.93/53.56 tff(33540,plain,
% 83.93/53.56 (v88(constB67, 1)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33539, 3727, 9752])).
% 83.93/53.56 tff(33541,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33542,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB67, 0)) | v88(constB67, 0))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33543,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB67, 0)) | v88(constB67, 0)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33542, 33541])).
% 83.93/53.56 tff(33544,plain,
% 83.93/53.56 (v88(constB67, 0)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33543, 3447, 9783])).
% 83.93/53.56 tff(33545,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33546,plain,
% 83.93/53.56 ((v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67)) <=> ((~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33547,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67)))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33546])).
% 83.93/53.56 tff(33548,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33547, 33545])).
% 83.93/53.56 tff(33549,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB67, 2) | (~v88(constB67, 1)) | (~v88(constB67, 0)) | v141(constB67))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33550,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB67, 1)) | v88(constB67, 2) | (~v88(constB67, 0)) | v141(constB67)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33549, 33548])).
% 83.93/53.56 tff(33551,plain,
% 83.93/53.56 (v141(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33550, 19257, 33544, 33540, 33536])).
% 83.93/53.56 tff(33552,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB67)) | v228(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB67)) | v228(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33553,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB67)) | v228(constB67))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33554,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB67)) | v228(constB67)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33553, 33552])).
% 83.93/53.56 tff(33555,plain,
% 83.93/53.56 (v228(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33554, 19268, 33551])).
% 83.93/53.56 tff(33556,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB67)) | v227(constB67))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB67)) | v227(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33557,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB67)) | v227(constB67))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33558,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB67)) | v227(constB67)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33557, 33556])).
% 83.93/53.56 tff(33559,plain,
% 83.93/53.56 (v227(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33558, 3503, 33555])).
% 83.93/53.56 tff(33560,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB67) | (~v227(constB67)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB67) | (~v227(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33561,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB67) | (~v227(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33562,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB67) | (~v227(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33561, 33560])).
% 83.93/53.56 tff(33563,plain,
% 83.93/53.56 (v226(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33562, 3517, 33559])).
% 83.93/53.56 tff(33564,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33565,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB67)) | (~v88(constB67, 1)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33566,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB67)) | (~v88(constB67, 1))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 83.93/53.56 tff(33567,plain,
% 83.93/53.56 (~v140(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33566, 3969, 33540])).
% 83.93/53.56 tff(33568,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33569,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB67)) | (~v88(constB67, 0)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33570,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB67)) | (~v88(constB67, 0))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33569, 33568])).
% 83.93/53.56 tff(33571,plain,
% 83.93/53.56 (~v139(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33570, 4059, 33544])).
% 83.93/53.56 tff(33572,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33573,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB67) | v140(constB67) | (~v168(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33574,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB67) | v140(constB67) | (~v168(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 83.93/53.56 tff(33575,plain,
% 83.93/53.56 (~v168(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33574, 3983, 33571, 33567])).
% 83.93/53.56 tff(33576,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB67)) | (~v226(constB67)) | v168(constB67))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | (~v226(constB67)) | v168(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33577,plain,
% 83.93/53.56 (((~v226(constB67)) | v168(constB67) | (~v161(constB67))) <=> ((~v161(constB67)) | (~v226(constB67)) | v168(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33578,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB67)) | v168(constB67) | (~v161(constB67)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB67)) | (~v226(constB67)) | v168(constB67)))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33577])).
% 83.93/53.56 tff(33579,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB67)) | v168(constB67) | (~v161(constB67)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | (~v226(constB67)) | v168(constB67))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33578, 33576])).
% 83.93/53.56 tff(33580,plain,
% 83.93/53.56 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB67)) | v168(constB67) | (~v161(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33581,plain,
% 83.93/53.56 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB67)) | (~v226(constB67)) | v168(constB67)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33580, 33579])).
% 83.93/53.56 tff(33582,plain,
% 83.93/53.56 ((~v161(constB67)) | (~v226(constB67))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33581, 3997, 33575])).
% 83.93/53.56 tff(33583,plain,
% 83.93/53.56 (~v161(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33582, 33563])).
% 83.93/53.56 tff(33584,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB67) | (~v187(constB67)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB67) | (~v187(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33585,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB67) | (~v187(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33586,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB67) | (~v187(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 83.93/53.56 tff(33587,plain,
% 83.93/53.56 (~v187(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33586, 4015, 33583])).
% 83.93/53.56 tff(33588,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB67) | (~v185(constB67)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB67) | (~v185(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33589,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB67) | (~v185(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33590,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB67) | (~v185(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 83.93/53.56 tff(33591,plain,
% 83.93/53.56 (~v185(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33590, 4029, 33587])).
% 83.93/53.56 tff(33592,assumption,(v18(constB68)), introduced(assumption)).
% 83.93/53.56 tff(33593,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB68))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33594,plain,
% 83.93/53.56 ($false),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33593, 3600, 33592])).
% 83.93/53.56 tff(33595,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.56 tff(33596,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33597,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33598,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33597, 33596])).
% 83.93/53.56 tff(33599,plain,
% 83.93/53.56 (v22(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33598, 3613, 9848])).
% 83.93/53.56 tff(33600,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB68) | (~v22(constB68)) | (~v19(constB68)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB68) | (~v22(constB68)) | (~v19(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33601,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB68) | (~v22(constB68)) | (~v19(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33602,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB68) | (~v22(constB68)) | (~v19(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 83.93/53.56 tff(33603,plain,
% 83.93/53.56 (v18(constB68) | (~v19(constB68))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33602, 3627, 33599])).
% 83.93/53.56 tff(33604,plain,
% 83.93/53.56 (~v19(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33603, 33595])).
% 83.93/53.56 tff(33605,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33606,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33607,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33606, 33605])).
% 83.93/53.56 tff(33608,plain,
% 83.93/53.56 (v13(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33607, 3639, 33604])).
% 83.93/53.56 tff(33609,plain,
% 83.93/53.56 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33610,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33611,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33610, 33609])).
% 83.93/53.56 tff(33612,plain,
% 83.93/53.56 (v9(constB67) | (~v13(constB68))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33611, 3653, 9828])).
% 83.93/53.56 tff(33613,plain,
% 83.93/53.56 (v9(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33612, 33608])).
% 83.93/53.56 tff(33614,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v184(constB67))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB67) | (~v9(constB67)) | v184(constB67))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33615,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v184(constB67))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33616,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB67) | (~v9(constB67)) | v184(constB67)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 83.93/53.56 tff(33617,plain,
% 83.93/53.56 ((~v9(constB67)) | v184(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33616, 3668, 9697])).
% 83.93/53.56 tff(33618,plain,
% 83.93/53.56 (v184(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33617, 33613])).
% 83.93/53.56 tff(33619,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB67) | (~v184(constB67)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB67) | (~v184(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33620,plain,
% 83.93/53.56 (((~v184(constB67)) | v183(constB67)) <=> (v183(constB67) | (~v184(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33621,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB67)) | v183(constB67))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB67) | (~v184(constB67))))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33620])).
% 83.93/53.56 tff(33622,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB67)) | v183(constB67))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB67) | (~v184(constB67)))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33621, 33619])).
% 83.93/53.56 tff(33623,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB67)) | v183(constB67))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33624,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB67) | (~v184(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33623, 33622])).
% 83.93/53.56 tff(33625,plain,
% 83.93/53.56 (v183(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33624, 3680, 33618])).
% 83.93/53.56 tff(33626,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB67)) | (~v183(constB67)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB67)) | (~v183(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33627,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB67)) | (~v183(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33628,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB67)) | (~v183(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 83.93/53.56 tff(33629,plain,
% 83.93/53.56 (~v181(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33628, 4247, 33625])).
% 83.93/53.56 tff(33630,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB67) | v185(constB67) | (~v178(constB67)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB67) | v185(constB67) | (~v178(constB67)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33631,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB67) | v185(constB67) | (~v178(constB67)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33632,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB67) | v185(constB67) | (~v178(constB67))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 83.93/53.56 tff(33633,plain,
% 83.93/53.56 (v185(constB67) | (~v178(constB67))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33632, 4261, 33629])).
% 83.93/53.56 tff(33634,plain,
% 83.93/53.56 (~v178(constB67)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33633, 33591])).
% 83.93/53.56 tff(33635,plain,
% 83.93/53.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33636,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33637,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB67, constB68)) | v178(constB67) | (~v180(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33636, 33635])).
% 83.93/53.56 tff(33638,plain,
% 83.93/53.56 (v178(constB67) | (~v180(constB68))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33637, 4276, 9828])).
% 83.93/53.56 tff(33639,plain,
% 83.93/53.56 (~v180(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33638, 33634])).
% 83.93/53.56 tff(33640,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB68) | (~v181(constB68)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB68) | (~v181(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33641,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB68) | (~v181(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33642,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB68) | (~v181(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33641, 33640])).
% 83.93/53.56 tff(33643,plain,
% 83.93/53.56 (~v181(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33642, 4291, 33639])).
% 83.93/53.56 tff(33644,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB68)) | (~v184(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB68)) | (~v184(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33645,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB68)) | (~v184(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33646,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB68)) | (~v184(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33645, 33644])).
% 83.93/53.56 tff(33647,plain,
% 83.93/53.56 (~v184(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33646, 3901, 9848])).
% 83.93/53.56 tff(33648,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB68) | (~v187(constB68)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB68) | (~v187(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33649,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB68) | (~v187(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33650,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB68) | (~v187(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33649, 33648])).
% 83.93/53.56 tff(33651,plain,
% 83.93/53.56 (~v187(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33650, 4309, 33647])).
% 83.93/53.56 tff(33652,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB68) | (~v185(constB68)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB68) | (~v185(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33653,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB68) | (~v185(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33654,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB68) | (~v185(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 83.93/53.56 tff(33655,plain,
% 83.93/53.56 (~v185(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33654, 4029, 33651])).
% 83.93/53.56 tff(33656,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB68) | v185(constB68) | (~v178(constB68)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB68) | v185(constB68) | (~v178(constB68)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33657,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB68) | v185(constB68) | (~v178(constB68)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33658,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB68) | v185(constB68) | (~v178(constB68))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33657, 33656])).
% 83.93/53.56 tff(33659,plain,
% 83.93/53.56 (v181(constB68) | (~v178(constB68))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33658, 4261, 33655])).
% 83.93/53.56 tff(33660,plain,
% 83.93/53.56 (~v178(constB68)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33659, 33643])).
% 83.93/53.56 tff(33661,plain,
% 83.93/53.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33662,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33663,plain,
% 83.93/53.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB68, constB69)) | v178(constB68) | (~v180(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33662, 33661])).
% 83.93/53.56 tff(33664,plain,
% 83.93/53.56 (v178(constB68) | (~v180(constB69))),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33663, 4276, 9890])).
% 83.93/53.56 tff(33665,plain,
% 83.93/53.56 (~v180(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33664, 33660])).
% 83.93/53.56 tff(33666,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB69) | (~v293(constB69)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB69) | (~v293(constB69)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33667,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB69) | (~v293(constB69)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33668,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB69) | (~v293(constB69))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33667, 33666])).
% 83.93/53.56 tff(33669,plain,
% 83.93/53.56 (~v293(constB69)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33668, 4413, 33665])).
% 83.93/53.56 tff(33670,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33671,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB65, 2)) | v90(constB65, 2))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33672,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB65, 2)) | v90(constB65, 2)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33671, 33670])).
% 83.93/53.56 tff(33673,plain,
% 83.93/53.56 (~v88(constB65, 2)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33672, 3360, 9512])).
% 83.93/53.56 tff(33674,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33675,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB65, 0)) | v90(constB65, 0))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33676,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB65, 0)) | v90(constB65, 0)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33675, 33674])).
% 83.93/53.56 tff(33677,plain,
% 83.93/53.56 (~v88(constB65, 0)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33676, 3705, 9577])).
% 83.93/53.56 tff(33678,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33679,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB65, 1)) | v88(constB65, 1))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33680,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB65, 1)) | v88(constB65, 1)),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33679, 33678])).
% 83.93/53.56 tff(33681,plain,
% 83.93/53.56 (v88(constB65, 1)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33680, 3727, 9543])).
% 83.93/53.56 tff(33682,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33683,plain,
% 83.93/53.56 ((v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65)) <=> (v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33684,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1))))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33683])).
% 83.93/53.56 tff(33685,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33684, 33682])).
% 83.93/53.56 tff(33686,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB65, 2) | (~v88(constB65, 1)) | v88(constB65, 0) | v143(constB65))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33687,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v143(constB65) | v88(constB65, 2) | v88(constB65, 0) | (~v88(constB65, 1))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33686, 33685])).
% 83.93/53.56 tff(33688,plain,
% 83.93/53.56 (v143(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33687, 15886, 33681, 33677, 33673])).
% 83.93/53.56 tff(33689,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB65) | (~v143(constB65)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB65) | (~v143(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33690,plain,
% 83.93/53.56 (((~v143(constB65)) | v142(constB65)) <=> (v142(constB65) | (~v143(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33691,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB65) | (~v143(constB65))))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33690])).
% 83.93/53.56 tff(33692,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB65) | (~v143(constB65)))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33691, 33689])).
% 83.93/53.56 tff(33693,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB65)) | v142(constB65))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33694,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB65) | (~v143(constB65))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 83.93/53.56 tff(33695,plain,
% 83.93/53.56 (v142(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33694, 15900, 33688])).
% 83.93/53.56 tff(33696,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB65) | (~v142(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33697,plain,
% 83.93/53.56 (((~v142(constB65)) | v227(constB65)) <=> (v227(constB65) | (~v142(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33698,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB65)) | v227(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (v227(constB65) | (~v142(constB65))))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33697])).
% 83.93/53.56 tff(33699,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB65)) | v227(constB65))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB65) | (~v142(constB65)))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33698, 33696])).
% 83.93/53.56 tff(33700,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB65)) | v227(constB65))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33701,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | v227(constB65) | (~v142(constB65))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33700, 33699])).
% 83.93/53.56 tff(33702,plain,
% 83.93/53.56 (v227(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33701, 3766, 33695])).
% 83.93/53.56 tff(33703,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB65) | (~v227(constB65)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB65) | (~v227(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33704,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB65) | (~v227(constB65)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33705,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB65) | (~v227(constB65))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33704, 33703])).
% 83.93/53.56 tff(33706,plain,
% 83.93/53.56 (v226(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33705, 3517, 33702])).
% 83.93/53.56 tff(33707,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33708,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB65)) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33709,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB65)) | (~v88(constB65, 1))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 83.93/53.56 tff(33710,plain,
% 83.93/53.56 (~v139(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33709, 3958, 33681])).
% 83.93/53.56 tff(33711,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33712,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB65)) | (~v88(constB65, 1)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33713,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB65)) | (~v88(constB65, 1))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 83.93/53.56 tff(33714,plain,
% 83.93/53.56 (~v140(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33713, 3969, 33681])).
% 83.93/53.56 tff(33715,plain,
% 83.93/53.56 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v168(constB65)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB65) | v140(constB65) | (~v168(constB65)))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33716,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v168(constB65)))),
% 83.93/53.56 inference(quant_inst,[status(thm)],[])).
% 83.93/53.56 tff(33717,plain,
% 83.93/53.56 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB65) | v140(constB65) | (~v168(constB65))),
% 83.93/53.56 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 83.93/53.56 tff(33718,plain,
% 83.93/53.56 (~v168(constB65)),
% 83.93/53.56 inference(unit_resolution,[status(thm)],[33717, 3983, 33714, 33710])).
% 83.93/53.56 tff(33719,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB65)) | (~v226(constB65)) | v168(constB65))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v226(constB65)) | v168(constB65))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33720,plain,
% 83.93/53.56 (((~v226(constB65)) | v168(constB65) | (~v161(constB65))) <=> ((~v161(constB65)) | (~v226(constB65)) | v168(constB65))),
% 83.93/53.56 inference(rewrite,[status(thm)],[])).
% 83.93/53.56 tff(33721,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB65)) | v168(constB65) | (~v161(constB65)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB65)) | (~v226(constB65)) | v168(constB65)))),
% 83.93/53.56 inference(monotonicity,[status(thm)],[33720])).
% 83.93/53.56 tff(33722,plain,
% 83.93/53.56 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB65)) | v168(constB65) | (~v161(constB65)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v226(constB65)) | v168(constB65))),
% 83.93/53.56 inference(transitivity,[status(thm)],[33721, 33719])).
% 83.93/53.57 tff(33723,plain,
% 83.93/53.57 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB65)) | v168(constB65) | (~v161(constB65)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33724,plain,
% 83.93/53.57 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB65)) | (~v226(constB65)) | v168(constB65)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 83.93/53.57 tff(33725,plain,
% 83.93/53.57 ((~v161(constB65)) | (~v226(constB65))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33724, 3997, 33718])).
% 83.93/53.57 tff(33726,plain,
% 83.93/53.57 (~v161(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33725, 33706])).
% 83.93/53.57 tff(33727,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB65) | (~v187(constB65)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB65) | (~v187(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33728,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB65) | (~v187(constB65)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33729,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB65) | (~v187(constB65))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33728, 33727])).
% 83.93/53.57 tff(33730,plain,
% 83.93/53.57 (~v187(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33729, 4015, 33726])).
% 83.93/53.57 tff(33731,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33732,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB65) | (~v185(constB65)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33733,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB65) | (~v185(constB65))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33732, 33731])).
% 83.93/53.57 tff(33734,plain,
% 83.93/53.57 (~v185(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33733, 4029, 33730])).
% 83.93/53.57 tff(33735,assumption,(v18(constB66)), introduced(assumption)).
% 83.93/53.57 tff(33736,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB66))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33737,plain,
% 83.93/53.57 ($false),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33736, 3600, 33735])).
% 83.93/53.57 tff(33738,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.57 tff(33739,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33740,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33741,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33740, 33739])).
% 83.93/53.57 tff(33742,plain,
% 83.93/53.57 (v22(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33741, 3613, 9658])).
% 83.93/53.57 tff(33743,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33744,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33745,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33744, 33743])).
% 83.93/53.57 tff(33746,plain,
% 83.93/53.57 (v18(constB66) | (~v19(constB66))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33745, 3627, 33742])).
% 83.93/53.57 tff(33747,plain,
% 83.93/53.57 (~v19(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33746, 33738])).
% 83.93/53.57 tff(33748,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33749,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33750,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33749, 33748])).
% 83.93/53.57 tff(33751,plain,
% 83.93/53.57 (v13(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33750, 3639, 33747])).
% 83.93/53.57 tff(33752,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33753,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33754,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 83.93/53.57 tff(33755,plain,
% 83.93/53.57 (v9(constB65) | (~v13(constB66))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33754, 3653, 9638])).
% 83.93/53.57 tff(33756,plain,
% 83.93/53.57 (v9(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33755, 33751])).
% 83.93/53.57 tff(33757,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33758,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v184(constB65))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33759,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB65) | (~v9(constB65)) | v184(constB65)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33758, 33757])).
% 83.93/53.57 tff(33760,plain,
% 83.93/53.57 ((~v9(constB65)) | v184(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33759, 3668, 9488])).
% 83.93/53.57 tff(33761,plain,
% 83.93/53.57 (v184(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33760, 33756])).
% 83.93/53.57 tff(33762,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB65) | (~v184(constB65)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB65) | (~v184(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33763,plain,
% 83.93/53.57 (((~v184(constB65)) | v183(constB65)) <=> (v183(constB65) | (~v184(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33764,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB65)) | v183(constB65))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB65) | (~v184(constB65))))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33763])).
% 83.93/53.57 tff(33765,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB65)) | v183(constB65))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB65) | (~v184(constB65)))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33764, 33762])).
% 83.93/53.57 tff(33766,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB65)) | v183(constB65))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33767,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB65) | (~v184(constB65))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33766, 33765])).
% 83.93/53.57 tff(33768,plain,
% 83.93/53.57 (v183(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33767, 3680, 33761])).
% 83.93/53.57 tff(33769,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB65)) | (~v183(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33770,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB65)) | (~v183(constB65)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33771,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB65)) | (~v183(constB65))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33770, 33769])).
% 83.93/53.57 tff(33772,plain,
% 83.93/53.57 (~v181(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33771, 4247, 33768])).
% 83.93/53.57 tff(33773,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33774,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB65) | v185(constB65) | (~v178(constB65)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33775,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB65) | v185(constB65) | (~v178(constB65))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33774, 33773])).
% 83.93/53.57 tff(33776,plain,
% 83.93/53.57 (v185(constB65) | (~v178(constB65))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33775, 4261, 33772])).
% 83.93/53.57 tff(33777,plain,
% 83.93/53.57 (~v178(constB65)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33776, 33734])).
% 83.93/53.57 tff(33778,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33779,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33780,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB65, constB66)) | v178(constB65) | (~v180(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33779, 33778])).
% 83.93/53.57 tff(33781,plain,
% 83.93/53.57 (v178(constB65) | (~v180(constB66))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33780, 4276, 9638])).
% 83.93/53.57 tff(33782,plain,
% 83.93/53.57 (~v180(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33781, 33777])).
% 83.93/53.57 tff(33783,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33784,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB66) | (~v181(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33785,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB66) | (~v181(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33784, 33783])).
% 83.93/53.57 tff(33786,plain,
% 83.93/53.57 (~v181(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33785, 4291, 33782])).
% 83.93/53.57 tff(33787,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33788,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB66)) | (~v184(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33789,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB66)) | (~v184(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33788, 33787])).
% 83.93/53.57 tff(33790,plain,
% 83.93/53.57 (~v184(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33789, 3901, 9658])).
% 83.93/53.57 tff(33791,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33792,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB66) | (~v187(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33793,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB66) | (~v187(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 83.93/53.57 tff(33794,plain,
% 83.93/53.57 (~v187(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33793, 4309, 33790])).
% 83.93/53.57 tff(33795,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33796,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB66) | (~v185(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33797,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB66) | (~v185(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 83.93/53.57 tff(33798,plain,
% 83.93/53.57 (~v185(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33797, 4029, 33794])).
% 83.93/53.57 tff(33799,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33800,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB66) | v185(constB66) | (~v178(constB66)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33801,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB66) | v185(constB66) | (~v178(constB66))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33800, 33799])).
% 83.93/53.57 tff(33802,plain,
% 83.93/53.57 (v181(constB66) | (~v178(constB66))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33801, 4261, 33798])).
% 83.93/53.57 tff(33803,plain,
% 83.93/53.57 (~v178(constB66)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33802, 33786])).
% 83.93/53.57 tff(33804,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33805,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33806,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB66, constB67)) | v178(constB66) | (~v180(constB67))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 83.93/53.57 tff(33807,plain,
% 83.93/53.57 (v178(constB66) | (~v180(constB67))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33806, 4276, 9700])).
% 83.93/53.57 tff(33808,plain,
% 83.93/53.57 (~v180(constB67)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33807, 33803])).
% 83.93/53.57 tff(33809,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB67) | (~v215(constB67)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB67) | (~v215(constB67)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33810,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB67) | (~v215(constB67)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33811,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB67) | (~v215(constB67))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33810, 33809])).
% 83.93/53.57 tff(33812,plain,
% 83.93/53.57 (~v215(constB67)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33811, 4427, 33808])).
% 83.93/53.57 tff(33813,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB67)) | (~v214(constB67)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB67)) | (~v214(constB67)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33814,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB67)) | (~v214(constB67)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33815,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB67)) | (~v214(constB67))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33814, 33813])).
% 83.93/53.57 tff(33816,plain,
% 83.93/53.57 (~v214(constB67)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33815, 4593, 33625])).
% 83.93/53.57 tff(33817,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB67) | v215(constB67) | (~v211(constB67)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB67) | v215(constB67) | (~v211(constB67)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33818,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB67) | v215(constB67) | (~v211(constB67)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33819,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB67) | v215(constB67) | (~v211(constB67))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33818, 33817])).
% 83.93/53.57 tff(33820,plain,
% 83.93/53.57 (v215(constB67) | (~v211(constB67))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33819, 4607, 33816])).
% 83.93/53.57 tff(33821,plain,
% 83.93/53.57 (~v211(constB67)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33820, 33812])).
% 83.93/53.57 tff(33822,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB67, constB68)) | v211(constB67) | (~v213(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB67, constB68)) | v211(constB67) | (~v213(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33823,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB67, constB68)) | v211(constB67) | (~v213(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33824,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB67, constB68)) | v211(constB67) | (~v213(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33823, 33822])).
% 83.93/53.57 tff(33825,plain,
% 83.93/53.57 (v211(constB67) | (~v213(constB68))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33824, 4622, 9828])).
% 83.93/53.57 tff(33826,plain,
% 83.93/53.57 (~v213(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33825, 33821])).
% 83.93/53.57 tff(33827,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB68) | (~v214(constB68)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB68) | (~v214(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33828,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB68) | (~v214(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33829,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB68) | (~v214(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33828, 33827])).
% 83.93/53.57 tff(33830,plain,
% 83.93/53.57 (~v214(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33829, 4637, 33826])).
% 83.93/53.57 tff(33831,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB68) | (~v217(constB68)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB68) | (~v217(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33832,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB68) | (~v217(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33833,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB68) | (~v217(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33832, 33831])).
% 83.93/53.57 tff(33834,plain,
% 83.93/53.57 (~v217(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33833, 4651, 33647])).
% 83.93/53.57 tff(33835,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB68) | (~v216(constB68)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB68) | (~v216(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33836,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB68) | (~v216(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33837,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB68) | (~v216(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33836, 33835])).
% 83.93/53.57 tff(33838,plain,
% 83.93/53.57 (~v216(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33837, 4565, 33834])).
% 83.93/53.57 tff(33839,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB68) | (~v215(constB68)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB68) | (~v215(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33840,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB68) | (~v215(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33841,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB68) | (~v215(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33840, 33839])).
% 83.93/53.57 tff(33842,plain,
% 83.93/53.57 (~v215(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33841, 4579, 33838])).
% 83.93/53.57 tff(33843,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB68) | v215(constB68) | (~v211(constB68)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB68) | v215(constB68) | (~v211(constB68)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33844,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB68) | v215(constB68) | (~v211(constB68)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33845,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB68) | v215(constB68) | (~v211(constB68))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33844, 33843])).
% 83.93/53.57 tff(33846,plain,
% 83.93/53.57 (v214(constB68) | (~v211(constB68))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33845, 4607, 33842])).
% 83.93/53.57 tff(33847,plain,
% 83.93/53.57 (~v211(constB68)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33846, 33830])).
% 83.93/53.57 tff(33848,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB68, constB69)) | v211(constB68) | (~v213(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB68, constB69)) | v211(constB68) | (~v213(constB69)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33849,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB68, constB69)) | v211(constB68) | (~v213(constB69)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33850,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB68, constB69)) | v211(constB68) | (~v213(constB69))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 83.93/53.57 tff(33851,plain,
% 83.93/53.57 (v211(constB68) | (~v213(constB69))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33850, 4622, 9890])).
% 83.93/53.57 tff(33852,plain,
% 83.93/53.57 (~v213(constB69)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33851, 33847])).
% 83.93/53.57 tff(33853,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB69) | (~v297(constB69)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB69) | (~v297(constB69)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33854,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB69) | (~v297(constB69)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33855,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB69) | (~v297(constB69))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33854, 33853])).
% 83.93/53.57 tff(33856,plain,
% 83.93/53.57 (~v297(constB69)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33855, 4767, 33852])).
% 83.93/53.57 tff(33857,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB69) | v297(constB69) | (~v292(constB69)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB69) | v297(constB69) | (~v292(constB69)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33858,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB69) | v297(constB69) | (~v292(constB69)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33859,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB69) | v297(constB69) | (~v292(constB69))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 83.93/53.57 tff(33860,plain,
% 83.93/53.57 (v293(constB69) | (~v292(constB69))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33859, 4781, 33856])).
% 83.93/53.57 tff(33861,plain,
% 83.93/53.57 (~v292(constB69)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33860, 33669])).
% 83.93/53.57 tff(33862,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB69) | v292(constB69) | v290(constB69))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB69) | v292(constB69) | v290(constB69))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33863,plain,
% 83.93/53.57 ((v292(constB69) | v302(constB69) | v290(constB69)) <=> (v302(constB69) | v292(constB69) | v290(constB69))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33864,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB69) | v302(constB69) | v290(constB69))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB69) | v292(constB69) | v290(constB69)))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33863])).
% 83.93/53.57 tff(33865,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB69) | v302(constB69) | v290(constB69))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB69) | v292(constB69) | v290(constB69))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33864, 33862])).
% 83.93/53.57 tff(33866,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB69) | v302(constB69) | v290(constB69))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33867,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB69) | v292(constB69) | v290(constB69)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 83.93/53.57 tff(33868,plain,
% 83.93/53.57 (v302(constB69) | v290(constB69)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33867, 5074, 33861])).
% 83.93/53.57 tff(33869,plain,
% 83.93/53.57 (v290(constB69)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33868, 33532])).
% 83.93/53.57 tff(33870,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB59, 2)) | v88(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB59, 2)) | v88(constB59, 2))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33871,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB59, 2)) | v88(constB59, 2))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33872,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB59, 2)) | v88(constB59, 2)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33871, 33870])).
% 83.93/53.57 tff(33873,plain,
% 83.93/53.57 (v88(constB59, 2)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33872, 3716, 8909])).
% 83.93/53.57 tff(33874,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB59)) | (~v88(constB59, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB59)) | (~v88(constB59, 2)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33875,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB59)) | (~v88(constB59, 2)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33876,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB59)) | (~v88(constB59, 2))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33875, 33874])).
% 83.93/53.57 tff(33877,plain,
% 83.93/53.57 (~v140(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33876, 4044, 33873])).
% 83.93/53.57 tff(33878,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB59, 0)) | v88(constB59, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB59, 0)) | v88(constB59, 0))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33879,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB59, 0)) | v88(constB59, 0))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33880,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB59, 0)) | v88(constB59, 0)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33879, 33878])).
% 83.93/53.57 tff(33881,plain,
% 83.93/53.57 (v88(constB59, 0)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33880, 3447, 8974])).
% 83.93/53.57 tff(33882,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB59)) | (~v88(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB59)) | (~v88(constB59, 0)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33883,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB59)) | (~v88(constB59, 0)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33884,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB59)) | (~v88(constB59, 0))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33883, 33882])).
% 83.93/53.57 tff(33885,plain,
% 83.93/53.57 (~v139(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33884, 4059, 33881])).
% 83.93/53.57 tff(33886,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33887,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB59) | v140(constB59) | (~v168(constB59)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33888,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB59) | v140(constB59) | (~v168(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33887, 33886])).
% 83.93/53.57 tff(33889,plain,
% 83.93/53.57 (~v168(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33888, 3983, 33885, 33877])).
% 83.93/53.57 tff(33890,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB59, 1)) | v90(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB59, 1)) | v90(constB59, 1))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33891,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB59, 1)) | v90(constB59, 1))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33892,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB59, 1)) | v90(constB59, 1)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33891, 33890])).
% 83.93/53.57 tff(33893,plain,
% 83.93/53.57 (~v88(constB59, 1)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33892, 3405, 8943])).
% 83.93/53.57 tff(33894,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33895,plain,
% 83.93/53.57 (((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59)) <=> (v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33896,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2))))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33895])).
% 83.93/53.57 tff(33897,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2)))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33896, 33894])).
% 83.93/53.57 tff(33898,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB59, 2)) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33899,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB59, 1) | (~v88(constB59, 0)) | v147(constB59) | (~v88(constB59, 2))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 83.93/53.57 tff(33900,plain,
% 83.93/53.57 (v147(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33899, 4081, 33881, 33873, 33893])).
% 83.93/53.57 tff(33901,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB59) | (~v147(constB59)))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33902,plain,
% 83.93/53.57 (((~v147(constB59)) | v145(constB59)) <=> (v145(constB59) | (~v147(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33903,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (v145(constB59) | (~v147(constB59))))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33902])).
% 83.93/53.57 tff(33904,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59)))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33903, 33901])).
% 83.93/53.57 tff(33905,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB59)) | v145(constB59))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33906,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | v145(constB59) | (~v147(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 83.93/53.57 tff(33907,plain,
% 83.93/53.57 (v145(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33906, 4095, 33900])).
% 83.93/53.57 tff(33908,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB59) | (~v145(constB59)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB59) | (~v145(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33909,plain,
% 83.93/53.57 (((~v145(constB59)) | v226(constB59)) <=> (v226(constB59) | (~v145(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33910,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB59)) | v226(constB59))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB59) | (~v145(constB59))))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33909])).
% 83.93/53.57 tff(33911,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB59)) | v226(constB59))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB59) | (~v145(constB59)))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33910, 33908])).
% 83.93/53.57 tff(33912,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB59)) | v226(constB59))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33913,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB59) | (~v145(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 83.93/53.57 tff(33914,plain,
% 83.93/53.57 (v226(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33913, 4106, 33907])).
% 83.93/53.57 tff(33915,plain,
% 83.93/53.57 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v226(constB59)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33916,plain,
% 83.93/53.57 (((~v226(constB59)) | v168(constB59) | (~v161(constB59))) <=> ((~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33917,plain,
% 83.93/53.57 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB59)) | v168(constB59) | (~v161(constB59)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB59)) | v168(constB59) | (~v226(constB59))))),
% 83.93/53.57 inference(monotonicity,[status(thm)],[33916])).
% 83.93/53.57 tff(33918,plain,
% 83.93/53.57 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB59)) | v168(constB59) | (~v161(constB59)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59)))),
% 83.93/53.57 inference(transitivity,[status(thm)],[33917, 33915])).
% 83.93/53.57 tff(33919,plain,
% 83.93/53.57 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB59)) | v168(constB59) | (~v161(constB59)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33920,plain,
% 83.93/53.57 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB59)) | v168(constB59) | (~v226(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 83.93/53.57 tff(33921,plain,
% 83.93/53.57 (~v161(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33920, 3997, 33914, 33889])).
% 83.93/53.57 tff(33922,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33923,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB59) | (~v187(constB59)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33924,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB59) | (~v187(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 83.93/53.57 tff(33925,plain,
% 83.93/53.57 (~v187(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33924, 4015, 33921])).
% 83.93/53.57 tff(33926,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33927,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB59) | (~v185(constB59)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33928,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB59) | (~v185(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33927, 33926])).
% 83.93/53.57 tff(33929,plain,
% 83.93/53.57 (~v185(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33928, 4029, 33925])).
% 83.93/53.57 tff(33930,assumption,(v18(constB60)), introduced(assumption)).
% 83.93/53.57 tff(33931,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB60))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33932,plain,
% 83.93/53.57 ($false),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33931, 3600, 33930])).
% 83.93/53.57 tff(33933,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.57 tff(33934,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33935,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33936,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33935, 33934])).
% 83.93/53.57 tff(33937,plain,
% 83.93/53.57 (v22(constB60)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33936, 3613, 9031])).
% 83.93/53.57 tff(33938,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33939,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33940,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33939, 33938])).
% 83.93/53.57 tff(33941,plain,
% 83.93/53.57 (v18(constB60) | (~v19(constB60))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33940, 3627, 33937])).
% 83.93/53.57 tff(33942,plain,
% 83.93/53.57 (~v19(constB60)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33941, 33933])).
% 83.93/53.57 tff(33943,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33944,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33945,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33944, 33943])).
% 83.93/53.57 tff(33946,plain,
% 83.93/53.57 (v13(constB60)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33945, 3639, 33942])).
% 83.93/53.57 tff(33947,plain,
% 83.93/53.57 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33948,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33949,plain,
% 83.93/53.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 83.93/53.57 tff(33950,plain,
% 83.93/53.57 (v9(constB59) | (~v13(constB60))),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33949, 3653, 9011])).
% 83.93/53.57 tff(33951,plain,
% 83.93/53.57 (v9(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33950, 33946])).
% 83.93/53.57 tff(33952,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v184(constB59))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB59) | (~v9(constB59)) | v184(constB59))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33953,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v184(constB59))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33954,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB59) | (~v9(constB59)) | v184(constB59)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33953, 33952])).
% 83.93/53.57 tff(33955,plain,
% 83.93/53.57 ((~v9(constB59)) | v184(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33954, 3668, 8885])).
% 83.93/53.57 tff(33956,plain,
% 83.93/53.57 (v184(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33955, 33951])).
% 83.93/53.57 tff(33957,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB59)) | v183(constB59))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB59)) | v183(constB59))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33958,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB59)) | v183(constB59))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33959,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB59)) | v183(constB59)),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 83.93/53.57 tff(33960,plain,
% 83.93/53.57 (v183(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33959, 3680, 33956])).
% 83.93/53.57 tff(33961,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB59)) | (~v183(constB59)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB59)) | (~v183(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33962,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB59)) | (~v183(constB59)))),
% 83.93/53.57 inference(quant_inst,[status(thm)],[])).
% 83.93/53.57 tff(33963,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB59)) | (~v183(constB59))),
% 83.93/53.57 inference(modus_ponens,[status(thm)],[33962, 33961])).
% 83.93/53.57 tff(33964,plain,
% 83.93/53.57 (~v181(constB59)),
% 83.93/53.57 inference(unit_resolution,[status(thm)],[33963, 4247, 33960])).
% 83.93/53.57 tff(33965,plain,
% 83.93/53.57 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 83.93/53.57 inference(rewrite,[status(thm)],[])).
% 83.93/53.57 tff(33966,plain,
% 83.93/53.57 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB59) | v185(constB59) | (~v178(constB59)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33967,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB59) | v185(constB59) | (~v178(constB59))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33966, 33965])).
% 83.93/53.58 tff(33968,plain,
% 83.93/53.58 (v185(constB59) | (~v178(constB59))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33967, 4261, 33964])).
% 83.93/53.58 tff(33969,plain,
% 83.93/53.58 (~v178(constB59)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33968, 33929])).
% 83.93/53.58 tff(33970,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33971,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33972,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB59, constB60)) | v178(constB59) | (~v180(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 83.93/53.58 tff(33973,plain,
% 83.93/53.58 (v178(constB59) | (~v180(constB60))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33972, 4276, 9011])).
% 83.93/53.58 tff(33974,plain,
% 83.93/53.58 (~v180(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33973, 33969])).
% 83.93/53.58 tff(33975,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33976,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB60) | (~v181(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33977,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB60) | (~v181(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 83.93/53.58 tff(33978,plain,
% 83.93/53.58 (~v181(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33977, 4291, 33974])).
% 83.93/53.58 tff(33979,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33980,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB60)) | (~v184(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33981,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB60)) | (~v184(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 83.93/53.58 tff(33982,plain,
% 83.93/53.58 (~v184(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33981, 3901, 9031])).
% 83.93/53.58 tff(33983,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33984,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB60) | (~v187(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33985,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB60) | (~v187(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 83.93/53.58 tff(33986,plain,
% 83.93/53.58 (~v187(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33985, 4309, 33982])).
% 83.93/53.58 tff(33987,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33988,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB60) | (~v185(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33989,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB60) | (~v185(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33988, 33987])).
% 83.93/53.58 tff(33990,plain,
% 83.93/53.58 (~v185(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33989, 4029, 33986])).
% 83.93/53.58 tff(33991,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33992,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB60) | v185(constB60) | (~v178(constB60)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33993,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB60) | v185(constB60) | (~v178(constB60))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 83.93/53.58 tff(33994,plain,
% 83.93/53.58 (v181(constB60) | (~v178(constB60))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33993, 4261, 33990])).
% 83.93/53.58 tff(33995,plain,
% 83.93/53.58 (~v178(constB60)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33994, 33978])).
% 83.93/53.58 tff(33996,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(33997,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(33998,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB60, constB61)) | v178(constB60) | (~v180(constB61))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[33997, 33996])).
% 83.93/53.58 tff(33999,plain,
% 83.93/53.58 (v178(constB60) | (~v180(constB61))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33998, 4276, 9073])).
% 83.93/53.58 tff(34000,plain,
% 83.93/53.58 (~v180(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[33999, 33995])).
% 83.93/53.58 tff(34001,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB61) | (~v215(constB61)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB61) | (~v215(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34002,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB61) | (~v215(constB61)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34003,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB61) | (~v215(constB61))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34002, 34001])).
% 83.93/53.58 tff(34004,plain,
% 83.93/53.58 (~v215(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34003, 4427, 34000])).
% 83.93/53.58 tff(34005,assumption,(v18(constB62)), introduced(assumption)).
% 83.93/53.58 tff(34006,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB62))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34007,plain,
% 83.93/53.58 ($false),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34006, 3600, 34005])).
% 83.93/53.58 tff(34008,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.58 tff(34009,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34010,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34011,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34010, 34009])).
% 83.93/53.58 tff(34012,plain,
% 83.93/53.58 (v22(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34011, 3613, 9212])).
% 83.93/53.58 tff(34013,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34014,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34015,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 83.93/53.58 tff(34016,plain,
% 83.93/53.58 (v18(constB62) | (~v19(constB62))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34015, 3627, 34012])).
% 83.93/53.58 tff(34017,plain,
% 83.93/53.58 (~v19(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34016, 34008])).
% 83.93/53.58 tff(34018,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34019,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34020,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34019, 34018])).
% 83.93/53.58 tff(34021,plain,
% 83.93/53.58 (v13(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34020, 3639, 34017])).
% 83.93/53.58 tff(34022,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34023,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34024,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34023, 34022])).
% 83.93/53.58 tff(34025,plain,
% 83.93/53.58 (v9(constB61) | (~v13(constB62))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34024, 3653, 9192])).
% 83.93/53.58 tff(34026,plain,
% 83.93/53.58 (v9(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34025, 34021])).
% 83.93/53.58 tff(34027,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34028,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v184(constB61))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34029,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB61) | (~v9(constB61)) | v184(constB61)),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 83.93/53.58 tff(34030,plain,
% 83.93/53.58 ((~v9(constB61)) | v184(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34029, 3668, 9070])).
% 83.93/53.58 tff(34031,plain,
% 83.93/53.58 (v184(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34030, 34026])).
% 83.93/53.58 tff(34032,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB61) | (~v184(constB61)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB61) | (~v184(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34033,plain,
% 83.93/53.58 (((~v184(constB61)) | v183(constB61)) <=> (v183(constB61) | (~v184(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34034,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB61)) | v183(constB61))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB61) | (~v184(constB61))))),
% 83.93/53.58 inference(monotonicity,[status(thm)],[34033])).
% 83.93/53.58 tff(34035,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB61)) | v183(constB61))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB61) | (~v184(constB61)))),
% 83.93/53.58 inference(transitivity,[status(thm)],[34034, 34032])).
% 83.93/53.58 tff(34036,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB61)) | v183(constB61))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34037,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB61) | (~v184(constB61))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34036, 34035])).
% 83.93/53.58 tff(34038,plain,
% 83.93/53.58 (v183(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34037, 3680, 34031])).
% 83.93/53.58 tff(34039,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB61)) | (~v214(constB61)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB61)) | (~v214(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34040,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB61)) | (~v214(constB61)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34041,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB61)) | (~v214(constB61))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34040, 34039])).
% 83.93/53.58 tff(34042,plain,
% 83.93/53.58 (~v214(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34041, 4593, 34038])).
% 83.93/53.58 tff(34043,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB61) | v215(constB61) | (~v211(constB61)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB61) | v215(constB61) | (~v211(constB61)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34044,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB61) | v215(constB61) | (~v211(constB61)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34045,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB61) | v215(constB61) | (~v211(constB61))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34044, 34043])).
% 83.93/53.58 tff(34046,plain,
% 83.93/53.58 (v215(constB61) | (~v211(constB61))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34045, 4607, 34042])).
% 83.93/53.58 tff(34047,plain,
% 83.93/53.58 (~v211(constB61)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34046, 34004])).
% 83.93/53.58 tff(34048,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB61, constB62)) | v211(constB61) | (~v213(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB61, constB62)) | v211(constB61) | (~v213(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34049,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB61, constB62)) | v211(constB61) | (~v213(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34050,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB61, constB62)) | v211(constB61) | (~v213(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 83.93/53.58 tff(34051,plain,
% 83.93/53.58 (v211(constB61) | (~v213(constB62))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34050, 4622, 9192])).
% 83.93/53.58 tff(34052,plain,
% 83.93/53.58 (~v213(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34051, 34047])).
% 83.93/53.58 tff(34053,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB62) | (~v214(constB62)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB62) | (~v214(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34054,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB62) | (~v214(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34055,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB62) | (~v214(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34054, 34053])).
% 83.93/53.58 tff(34056,plain,
% 83.93/53.58 (~v214(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34055, 4637, 34052])).
% 83.93/53.58 tff(34057,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34058,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB62)) | (~v184(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34059,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB62)) | (~v184(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34058, 34057])).
% 83.93/53.58 tff(34060,plain,
% 83.93/53.58 (~v184(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34059, 3901, 9212])).
% 83.93/53.58 tff(34061,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB62) | (~v217(constB62)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB62) | (~v217(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34062,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB62) | (~v217(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34063,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB62) | (~v217(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34062, 34061])).
% 83.93/53.58 tff(34064,plain,
% 83.93/53.58 (~v217(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34063, 4651, 34060])).
% 83.93/53.58 tff(34065,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB62) | (~v216(constB62)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB62) | (~v216(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34066,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB62) | (~v216(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34067,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB62) | (~v216(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 83.93/53.58 tff(34068,plain,
% 83.93/53.58 (~v216(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34067, 4565, 34064])).
% 83.93/53.58 tff(34069,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB62) | (~v215(constB62)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB62) | (~v215(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34070,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB62) | (~v215(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34071,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB62) | (~v215(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34070, 34069])).
% 83.93/53.58 tff(34072,plain,
% 83.93/53.58 (~v215(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34071, 4579, 34068])).
% 83.93/53.58 tff(34073,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB62) | v215(constB62) | (~v211(constB62)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB62) | v215(constB62) | (~v211(constB62)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34074,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB62) | v215(constB62) | (~v211(constB62)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34075,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB62) | v215(constB62) | (~v211(constB62))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34074, 34073])).
% 83.93/53.58 tff(34076,plain,
% 83.93/53.58 (v214(constB62) | (~v211(constB62))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34075, 4607, 34072])).
% 83.93/53.58 tff(34077,plain,
% 83.93/53.58 (~v211(constB62)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34076, 34056])).
% 83.93/53.58 tff(34078,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB62, constB63)) | v211(constB62) | (~v213(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB62, constB63)) | v211(constB62) | (~v213(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34079,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB62, constB63)) | v211(constB62) | (~v213(constB63)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34080,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB62, constB63)) | v211(constB62) | (~v213(constB63))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34079, 34078])).
% 83.93/53.58 tff(34081,plain,
% 83.93/53.58 (v211(constB62) | (~v213(constB63))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34080, 4622, 9278])).
% 83.93/53.58 tff(34082,plain,
% 83.93/53.58 (~v213(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34081, 34077])).
% 83.93/53.58 tff(34083,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB63) | (~v245(constB63)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB63) | (~v245(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34084,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB63) | (~v245(constB63)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34085,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB63) | (~v245(constB63))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 83.93/53.58 tff(34086,plain,
% 83.93/53.58 (~v245(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34085, 4796, 34082])).
% 83.93/53.58 tff(34087,assumption,(v18(constB64)), introduced(assumption)).
% 83.93/53.58 tff(34088,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB64))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34089,plain,
% 83.93/53.58 ($false),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34088, 3600, 34087])).
% 83.93/53.58 tff(34090,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 83.93/53.58 tff(34091,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34092,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34093,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34092, 34091])).
% 83.93/53.58 tff(34094,plain,
% 83.93/53.58 (v22(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34093, 3613, 9449])).
% 83.93/53.58 tff(34095,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34096,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34097,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34096, 34095])).
% 83.93/53.58 tff(34098,plain,
% 83.93/53.58 (v18(constB64) | (~v19(constB64))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34097, 3627, 34094])).
% 83.93/53.58 tff(34099,plain,
% 83.93/53.58 (~v19(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34098, 34090])).
% 83.93/53.58 tff(34100,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34101,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34102,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34101, 34100])).
% 83.93/53.58 tff(34103,plain,
% 83.93/53.58 (v13(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34102, 3639, 34099])).
% 83.93/53.58 tff(34104,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34105,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34106,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34105, 34104])).
% 83.93/53.58 tff(34107,plain,
% 83.93/53.58 (v9(constB63) | (~v13(constB64))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34106, 3653, 9429])).
% 83.93/53.58 tff(34108,plain,
% 83.93/53.58 (v9(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34107, 34103])).
% 83.93/53.58 tff(34109,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v184(constB63))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB63) | (~v9(constB63)) | v184(constB63))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34110,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v184(constB63))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34111,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB63) | (~v9(constB63)) | v184(constB63)),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 83.93/53.58 tff(34112,plain,
% 83.93/53.58 ((~v9(constB63)) | v184(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34111, 3668, 9275])).
% 83.93/53.58 tff(34113,plain,
% 83.93/53.58 (v184(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34112, 34108])).
% 83.93/53.58 tff(34114,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB63) | (~v184(constB63)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB63) | (~v184(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34115,plain,
% 83.93/53.58 (((~v184(constB63)) | v183(constB63)) <=> (v183(constB63) | (~v184(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34116,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB63)) | v183(constB63))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB63) | (~v184(constB63))))),
% 83.93/53.58 inference(monotonicity,[status(thm)],[34115])).
% 83.93/53.58 tff(34117,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB63)) | v183(constB63))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB63) | (~v184(constB63)))),
% 83.93/53.58 inference(transitivity,[status(thm)],[34116, 34114])).
% 83.93/53.58 tff(34118,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB63)) | v183(constB63))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34119,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB63) | (~v184(constB63))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34118, 34117])).
% 83.93/53.58 tff(34120,plain,
% 83.93/53.58 (v183(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34119, 3680, 34113])).
% 83.93/53.58 tff(34121,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB63)) | (~v244(constB63)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB63)) | (~v244(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34122,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB63)) | (~v244(constB63)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34123,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB63)) | (~v244(constB63))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34122, 34121])).
% 83.93/53.58 tff(34124,plain,
% 83.93/53.58 (~v244(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34123, 4891, 34120])).
% 83.93/53.58 tff(34125,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB63) | v245(constB63) | (~v241(constB63)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB63) | v245(constB63) | (~v241(constB63)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34126,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB63) | v245(constB63) | (~v241(constB63)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34127,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB63) | v245(constB63) | (~v241(constB63))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34126, 34125])).
% 83.93/53.58 tff(34128,plain,
% 83.93/53.58 (v245(constB63) | (~v241(constB63))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34127, 4905, 34124])).
% 83.93/53.58 tff(34129,plain,
% 83.93/53.58 (~v241(constB63)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34128, 34086])).
% 83.93/53.58 tff(34130,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB63, constB64)) | v241(constB63) | (~v243(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB63, constB64)) | v241(constB63) | (~v243(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34131,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB63, constB64)) | v241(constB63) | (~v243(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34132,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB63, constB64)) | v241(constB63) | (~v243(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 83.93/53.58 tff(34133,plain,
% 83.93/53.58 (v241(constB63) | (~v243(constB64))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34132, 4920, 9429])).
% 83.93/53.58 tff(34134,plain,
% 83.93/53.58 (~v243(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34133, 34129])).
% 83.93/53.58 tff(34135,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB64) | (~v244(constB64)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB64) | (~v244(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34136,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB64) | (~v244(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34137,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB64) | (~v244(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34136, 34135])).
% 83.93/53.58 tff(34138,plain,
% 83.93/53.58 (~v244(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34137, 4935, 34134])).
% 83.93/53.58 tff(34139,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB64)) | (~v184(constB64)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB64)) | (~v184(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34140,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB64)) | (~v184(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34141,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB64)) | (~v184(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34140, 34139])).
% 83.93/53.58 tff(34142,plain,
% 83.93/53.58 (~v184(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34141, 3901, 9449])).
% 83.93/53.58 tff(34143,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB64) | (~v247(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB64) | (~v247(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34144,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB64) | (~v247(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34145,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB64) | (~v247(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34144, 34143])).
% 83.93/53.58 tff(34146,plain,
% 83.93/53.58 (~v247(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34145, 4949, 34142])).
% 83.93/53.58 tff(34147,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB64) | (~v246(constB64)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB64) | (~v246(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34148,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB64) | (~v246(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34149,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB64) | (~v246(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34148, 34147])).
% 83.93/53.58 tff(34150,plain,
% 83.93/53.58 (~v246(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34149, 4863, 34146])).
% 83.93/53.58 tff(34151,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB64) | (~v245(constB64)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB64) | (~v245(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34152,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB64) | (~v245(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34153,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB64) | (~v245(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34152, 34151])).
% 83.93/53.58 tff(34154,plain,
% 83.93/53.58 (~v245(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34153, 4877, 34150])).
% 83.93/53.58 tff(34155,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB64) | v245(constB64) | (~v241(constB64)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB64) | v245(constB64) | (~v241(constB64)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34156,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB64) | v245(constB64) | (~v241(constB64)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34157,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB64) | v245(constB64) | (~v241(constB64))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34156, 34155])).
% 83.93/53.58 tff(34158,plain,
% 83.93/53.58 (v244(constB64) | (~v241(constB64))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34157, 4905, 34154])).
% 83.93/53.58 tff(34159,plain,
% 83.93/53.58 (~v241(constB64)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34158, 34138])).
% 83.93/53.58 tff(34160,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB64, constB65)) | v241(constB64) | (~v243(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB64, constB65)) | v241(constB64) | (~v243(constB65)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34161,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB64, constB65)) | v241(constB64) | (~v243(constB65)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34162,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB64, constB65)) | v241(constB64) | (~v243(constB65))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 83.93/53.58 tff(34163,plain,
% 83.93/53.58 (v241(constB64) | (~v243(constB65))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34162, 4920, 9491])).
% 83.93/53.58 tff(34164,plain,
% 83.93/53.58 (~v243(constB65)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34163, 34159])).
% 83.93/53.58 tff(34165,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB65) | (~v260(constB65)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB65) | (~v260(constB65)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34166,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB65) | (~v260(constB65)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34167,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB65) | (~v260(constB65))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34166, 34165])).
% 83.93/53.58 tff(34168,plain,
% 83.93/53.58 (~v260(constB65)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34167, 5136, 34164])).
% 83.93/53.58 tff(34169,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB65)) | (~v259(constB65)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB65)) | (~v259(constB65)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34170,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB65)) | (~v259(constB65)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34171,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB65)) | (~v259(constB65))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34170, 34169])).
% 83.93/53.58 tff(34172,plain,
% 83.93/53.58 (~v259(constB65)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34171, 5122, 33768])).
% 83.93/53.58 tff(34173,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB65) | v260(constB65) | (~v256(constB65)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB65) | v260(constB65) | (~v256(constB65)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34174,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB65) | v260(constB65) | (~v256(constB65)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34175,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB65) | v260(constB65) | (~v256(constB65))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34174, 34173])).
% 83.93/53.58 tff(34176,plain,
% 83.93/53.58 (v260(constB65) | (~v256(constB65))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34175, 5150, 34172])).
% 83.93/53.58 tff(34177,plain,
% 83.93/53.58 (~v256(constB65)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34176, 34168])).
% 83.93/53.58 tff(34178,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB65, constB66)) | v256(constB65) | (~v258(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB65, constB66)) | v256(constB65) | (~v258(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34179,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB65, constB66)) | v256(constB65) | (~v258(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34180,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB65, constB66)) | v256(constB65) | (~v258(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 83.93/53.58 tff(34181,plain,
% 83.93/53.58 (v256(constB65) | (~v258(constB66))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34180, 5165, 9638])).
% 83.93/53.58 tff(34182,plain,
% 83.93/53.58 (~v258(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34181, 34177])).
% 83.93/53.58 tff(34183,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB66) | (~v259(constB66)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB66) | (~v259(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34184,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB66) | (~v259(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34185,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB66) | (~v259(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 83.93/53.58 tff(34186,plain,
% 83.93/53.58 (~v259(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34185, 5180, 34182])).
% 83.93/53.58 tff(34187,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB66) | (~v262(constB66)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB66) | (~v262(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34188,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB66) | (~v262(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34189,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB66) | (~v262(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 83.93/53.58 tff(34190,plain,
% 83.93/53.58 (~v262(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34189, 3915, 33790])).
% 83.93/53.58 tff(34191,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB66) | (~v261(constB66)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB66) | (~v261(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34192,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB66) | (~v261(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34193,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB66) | (~v261(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 83.93/53.58 tff(34194,plain,
% 83.93/53.58 (~v261(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34193, 3829, 34190])).
% 83.93/53.58 tff(34195,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB66) | (~v260(constB66)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB66) | (~v260(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34196,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB66) | (~v260(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34197,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB66) | (~v260(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34196, 34195])).
% 83.93/53.58 tff(34198,plain,
% 83.93/53.58 (~v260(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34197, 5194, 34194])).
% 83.93/53.58 tff(34199,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB66) | v260(constB66) | (~v256(constB66)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB66) | v260(constB66) | (~v256(constB66)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34200,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB66) | v260(constB66) | (~v256(constB66)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34201,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB66) | v260(constB66) | (~v256(constB66))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34200, 34199])).
% 83.93/53.58 tff(34202,plain,
% 83.93/53.58 (v259(constB66) | (~v256(constB66))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34201, 5150, 34198])).
% 83.93/53.58 tff(34203,plain,
% 83.93/53.58 (~v256(constB66)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34202, 34186])).
% 83.93/53.58 tff(34204,plain,
% 83.93/53.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB66, constB67)) | v256(constB66) | (~v258(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB66, constB67)) | v256(constB66) | (~v258(constB67)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34205,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB66, constB67)) | v256(constB66) | (~v258(constB67)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34206,plain,
% 83.93/53.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB66, constB67)) | v256(constB66) | (~v258(constB67))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 83.93/53.58 tff(34207,plain,
% 83.93/53.58 (v256(constB66) | (~v258(constB67))),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34206, 5165, 9700])).
% 83.93/53.58 tff(34208,plain,
% 83.93/53.58 (~v258(constB67)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34207, 34203])).
% 83.93/53.58 tff(34209,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB67) | (~v271(constB67)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB67) | (~v271(constB67)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34210,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB67) | (~v271(constB67)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34211,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB67) | (~v271(constB67))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34210, 34209])).
% 83.93/53.58 tff(34212,plain,
% 83.93/53.58 (~v271(constB67)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34211, 23584, 34208])).
% 83.93/53.58 tff(34213,plain,
% 83.93/53.58 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB67)) | (~v270(constB67)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB67)) | (~v270(constB67)))),
% 83.93/53.58 inference(rewrite,[status(thm)],[])).
% 83.93/53.58 tff(34214,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB67)) | (~v270(constB67)))),
% 83.93/53.58 inference(quant_inst,[status(thm)],[])).
% 83.93/53.58 tff(34215,plain,
% 83.93/53.58 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB67)) | (~v270(constB67))),
% 83.93/53.58 inference(modus_ponens,[status(thm)],[34214, 34213])).
% 83.93/53.58 tff(34216,plain,
% 83.93/53.58 (~v270(constB67)),
% 83.93/53.58 inference(unit_resolution,[status(thm)],[34215, 3694, 33625])).
% 83.93/53.59 tff(34217,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB67) | v271(constB67) | (~v267(constB67)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB67) | v271(constB67) | (~v267(constB67)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34218,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB67) | v271(constB67) | (~v267(constB67)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34219,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB67) | v271(constB67) | (~v267(constB67))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34218, 34217])).
% 83.93/53.59 tff(34220,plain,
% 83.93/53.59 (v271(constB67) | (~v267(constB67))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34219, 3857, 34216])).
% 83.93/53.59 tff(34221,plain,
% 83.93/53.59 (~v267(constB67)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34220, 34212])).
% 83.93/53.59 tff(34222,plain,
% 83.93/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB67, constB68)) | v267(constB67) | (~v269(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB67, constB68)) | v267(constB67) | (~v269(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34223,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB67, constB68)) | v267(constB67) | (~v269(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34224,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB67, constB68)) | v267(constB67) | (~v269(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34223, 34222])).
% 83.93/53.59 tff(34225,plain,
% 83.93/53.59 (v267(constB67) | (~v269(constB68))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34224, 3872, 9828])).
% 83.93/53.59 tff(34226,plain,
% 83.93/53.59 (~v269(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34225, 34221])).
% 83.93/53.59 tff(34227,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB68) | (~v270(constB68)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB68) | (~v270(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34228,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB68) | (~v270(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34229,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB68) | (~v270(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34228, 34227])).
% 83.93/53.59 tff(34230,plain,
% 83.93/53.59 (~v270(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34229, 3887, 34226])).
% 83.93/53.59 tff(34231,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB68) | (~v262(constB68)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB68) | (~v262(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34232,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB68) | (~v262(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34233,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB68) | (~v262(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34232, 34231])).
% 83.93/53.59 tff(34234,plain,
% 83.93/53.59 (~v262(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34233, 3915, 33647])).
% 83.93/53.59 tff(34235,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB68) | (~v261(constB68)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB68) | (~v261(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34236,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB68) | (~v261(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34237,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB68) | (~v261(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34236, 34235])).
% 83.93/53.59 tff(34238,plain,
% 83.93/53.59 (~v261(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34237, 3829, 34234])).
% 83.93/53.59 tff(34239,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB68) | (~v271(constB68)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB68) | (~v271(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34240,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB68) | (~v271(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34241,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB68) | (~v271(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34240, 34239])).
% 83.93/53.59 tff(34242,plain,
% 83.93/53.59 (~v271(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34241, 3843, 34238])).
% 83.93/53.59 tff(34243,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB68) | v271(constB68) | (~v267(constB68)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB68) | v271(constB68) | (~v267(constB68)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34244,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB68) | v271(constB68) | (~v267(constB68)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34245,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB68) | v271(constB68) | (~v267(constB68))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34244, 34243])).
% 83.93/53.59 tff(34246,plain,
% 83.93/53.59 (v270(constB68) | (~v267(constB68))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34245, 3857, 34242])).
% 83.93/53.59 tff(34247,plain,
% 83.93/53.59 (~v267(constB68)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34246, 34230])).
% 83.93/53.59 tff(34248,plain,
% 83.93/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB68, constB69)) | v267(constB68) | (~v269(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB68, constB69)) | v267(constB68) | (~v269(constB69)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34249,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB68, constB69)) | v267(constB68) | (~v269(constB69)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34250,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB68, constB69)) | v267(constB68) | (~v269(constB69))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 83.93/53.59 tff(34251,plain,
% 83.93/53.59 (v267(constB68) | (~v269(constB69))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34250, 3872, 9890])).
% 83.93/53.59 tff(34252,plain,
% 83.93/53.59 (~v269(constB69)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34251, 34247])).
% 83.93/53.59 tff(34253,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB69) | (~v307(constB69)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB69) | (~v307(constB69)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34254,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB69) | (~v307(constB69)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34255,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB69) | (~v307(constB69))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 83.93/53.59 tff(34256,plain,
% 83.93/53.59 (~v307(constB69)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34255, 3947, 34252])).
% 83.93/53.59 tff(34257,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB69) | v289(constB69) | (~v290(constB69)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB69) | v289(constB69) | (~v290(constB69)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34258,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB69) | v289(constB69) | (~v290(constB69)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34259,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB69) | v289(constB69) | (~v290(constB69))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34258, 34257])).
% 83.93/53.59 tff(34260,plain,
% 83.93/53.59 (v289(constB69) | (~v290(constB69))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34259, 5092, 34256])).
% 83.93/53.59 tff(34261,plain,
% 83.93/53.59 (v289(constB69)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34260, 33869])).
% 83.93/53.59 tff(34262,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB59) | (~v215(constB59)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB59) | (~v215(constB59)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34263,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB59) | (~v215(constB59)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34264,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB59) | (~v215(constB59))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34263, 34262])).
% 83.93/53.59 tff(34265,plain,
% 83.93/53.59 (~v215(constB59)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34264, 4427, 24285])).
% 83.93/53.59 tff(34266,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB59)) | (~v214(constB59)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB59)) | (~v214(constB59)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34267,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB59)) | (~v214(constB59)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34268,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB59)) | (~v214(constB59))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34267, 34266])).
% 83.93/53.59 tff(34269,plain,
% 83.93/53.59 (~v214(constB59)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34268, 4593, 33960])).
% 83.93/53.59 tff(34270,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB59) | v215(constB59) | (~v211(constB59)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB59) | v215(constB59) | (~v211(constB59)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34271,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB59) | v215(constB59) | (~v211(constB59)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34272,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB59) | v215(constB59) | (~v211(constB59))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34271, 34270])).
% 83.93/53.59 tff(34273,plain,
% 83.93/53.59 (v215(constB59) | (~v211(constB59))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34272, 4607, 34269])).
% 83.93/53.59 tff(34274,plain,
% 83.93/53.59 (~v211(constB59)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34273, 34265])).
% 83.93/53.59 tff(34275,plain,
% 83.93/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34276,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34277,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB59, constB60)) | v211(constB59) | (~v213(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 83.93/53.59 tff(34278,plain,
% 83.93/53.59 (v211(constB59) | (~v213(constB60))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34277, 4622, 9011])).
% 83.93/53.59 tff(34279,plain,
% 83.93/53.59 (~v213(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34278, 34274])).
% 83.93/53.59 tff(34280,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB60) | (~v214(constB60)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB60) | (~v214(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34281,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB60) | (~v214(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34282,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB60) | (~v214(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34281, 34280])).
% 83.93/53.59 tff(34283,plain,
% 83.93/53.59 (~v214(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34282, 4637, 34279])).
% 83.93/53.59 tff(34284,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB60) | (~v217(constB60)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB60) | (~v217(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34285,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB60) | (~v217(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34286,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB60) | (~v217(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34285, 34284])).
% 83.93/53.59 tff(34287,plain,
% 83.93/53.59 (~v217(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34286, 4651, 33982])).
% 83.93/53.59 tff(34288,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB60) | (~v216(constB60)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB60) | (~v216(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34289,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB60) | (~v216(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34290,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB60) | (~v216(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34289, 34288])).
% 83.93/53.59 tff(34291,plain,
% 83.93/53.59 (~v216(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34290, 4565, 34287])).
% 83.93/53.59 tff(34292,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB60) | (~v215(constB60)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB60) | (~v215(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34293,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB60) | (~v215(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34294,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB60) | (~v215(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 83.93/53.59 tff(34295,plain,
% 83.93/53.59 (~v215(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34294, 4579, 34291])).
% 83.93/53.59 tff(34296,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB60) | v215(constB60) | (~v211(constB60)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB60) | v215(constB60) | (~v211(constB60)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34297,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB60) | v215(constB60) | (~v211(constB60)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34298,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB60) | v215(constB60) | (~v211(constB60))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34297, 34296])).
% 83.93/53.59 tff(34299,plain,
% 83.93/53.59 (v214(constB60) | (~v211(constB60))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34298, 4607, 34295])).
% 83.93/53.59 tff(34300,plain,
% 83.93/53.59 (~v211(constB60)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34299, 34283])).
% 83.93/53.59 tff(34301,plain,
% 83.93/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34302,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34303,plain,
% 83.93/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB60, constB61)) | v211(constB60) | (~v213(constB61))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 83.93/53.59 tff(34304,plain,
% 83.93/53.59 (v211(constB60) | (~v213(constB61))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34303, 4622, 9073])).
% 83.93/53.59 tff(34305,plain,
% 83.93/53.59 (~v213(constB61)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34304, 34300])).
% 83.93/53.59 tff(34306,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB61) | (~v245(constB61)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB61) | (~v245(constB61)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34307,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB61) | (~v245(constB61)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34308,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB61) | (~v245(constB61))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 83.93/53.59 tff(34309,plain,
% 83.93/53.59 (~v245(constB61)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34308, 4796, 34305])).
% 83.93/53.59 tff(34310,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB61)) | (~v244(constB61)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB61)) | (~v244(constB61)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34311,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB61)) | (~v244(constB61)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34312,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB61)) | (~v244(constB61))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 83.93/53.59 tff(34313,plain,
% 83.93/53.59 (~v244(constB61)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34312, 4891, 34038])).
% 83.93/53.59 tff(34314,plain,
% 83.93/53.59 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB61) | v245(constB61) | (~v241(constB61)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB61) | v245(constB61) | (~v241(constB61)))),
% 83.93/53.59 inference(rewrite,[status(thm)],[])).
% 83.93/53.59 tff(34315,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB61) | v245(constB61) | (~v241(constB61)))),
% 83.93/53.59 inference(quant_inst,[status(thm)],[])).
% 83.93/53.59 tff(34316,plain,
% 83.93/53.59 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB61) | v245(constB61) | (~v241(constB61))),
% 83.93/53.59 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 83.93/53.59 tff(34317,plain,
% 83.93/53.59 (v245(constB61) | (~v241(constB61))),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34316, 4905, 34313])).
% 83.93/53.59 tff(34318,plain,
% 83.93/53.59 (~v241(constB61)),
% 83.93/53.59 inference(unit_resolution,[status(thm)],[34317, 34309])).
% 84.02/53.59 tff(34319,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB61, constB62)) | v241(constB61) | (~v243(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB61, constB62)) | v241(constB61) | (~v243(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34320,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB61, constB62)) | v241(constB61) | (~v243(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34321,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB61, constB62)) | v241(constB61) | (~v243(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34320, 34319])).
% 84.02/53.59 tff(34322,plain,
% 84.02/53.59 (v241(constB61) | (~v243(constB62))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34321, 4920, 9192])).
% 84.02/53.59 tff(34323,plain,
% 84.02/53.59 (~v243(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34322, 34318])).
% 84.02/53.59 tff(34324,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB62) | (~v244(constB62)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB62) | (~v244(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34325,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB62) | (~v244(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34326,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB62) | (~v244(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34325, 34324])).
% 84.02/53.59 tff(34327,plain,
% 84.02/53.59 (~v244(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34326, 4935, 34323])).
% 84.02/53.59 tff(34328,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB62) | (~v247(constB62)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB62) | (~v247(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34329,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB62) | (~v247(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34330,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB62) | (~v247(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34329, 34328])).
% 84.02/53.59 tff(34331,plain,
% 84.02/53.59 (~v247(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34330, 4949, 34060])).
% 84.02/53.59 tff(34332,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB62) | (~v246(constB62)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB62) | (~v246(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34333,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB62) | (~v246(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34334,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB62) | (~v246(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34333, 34332])).
% 84.02/53.59 tff(34335,plain,
% 84.02/53.59 (~v246(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34334, 4863, 34331])).
% 84.02/53.59 tff(34336,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB62) | (~v245(constB62)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB62) | (~v245(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34337,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB62) | (~v245(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34338,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB62) | (~v245(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34337, 34336])).
% 84.02/53.59 tff(34339,plain,
% 84.02/53.59 (~v245(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34338, 4877, 34335])).
% 84.02/53.59 tff(34340,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB62) | v245(constB62) | (~v241(constB62)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB62) | v245(constB62) | (~v241(constB62)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34341,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB62) | v245(constB62) | (~v241(constB62)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34342,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB62) | v245(constB62) | (~v241(constB62))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34341, 34340])).
% 84.02/53.59 tff(34343,plain,
% 84.02/53.59 (v244(constB62) | (~v241(constB62))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34342, 4905, 34339])).
% 84.02/53.59 tff(34344,plain,
% 84.02/53.59 (~v241(constB62)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34343, 34327])).
% 84.02/53.59 tff(34345,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB62, constB63)) | v241(constB62) | (~v243(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB62, constB63)) | v241(constB62) | (~v243(constB63)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34346,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB62, constB63)) | v241(constB62) | (~v243(constB63)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34347,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB62, constB63)) | v241(constB62) | (~v243(constB63))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34346, 34345])).
% 84.02/53.59 tff(34348,plain,
% 84.02/53.59 (v241(constB62) | (~v243(constB63))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34347, 4920, 9278])).
% 84.02/53.59 tff(34349,plain,
% 84.02/53.59 (~v243(constB63)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34348, 34344])).
% 84.02/53.59 tff(34350,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB63) | (~v260(constB63)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB63) | (~v260(constB63)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34351,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB63) | (~v260(constB63)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34352,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB63) | (~v260(constB63))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34351, 34350])).
% 84.02/53.59 tff(34353,plain,
% 84.02/53.59 (~v260(constB63)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34352, 5136, 34349])).
% 84.02/53.59 tff(34354,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB63)) | (~v259(constB63)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB63)) | (~v259(constB63)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34355,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB63)) | (~v259(constB63)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34356,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB63)) | (~v259(constB63))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34355, 34354])).
% 84.02/53.59 tff(34357,plain,
% 84.02/53.59 (~v259(constB63)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34356, 5122, 34120])).
% 84.02/53.59 tff(34358,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB63) | v260(constB63) | (~v256(constB63)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB63) | v260(constB63) | (~v256(constB63)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34359,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB63) | v260(constB63) | (~v256(constB63)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34360,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB63) | v260(constB63) | (~v256(constB63))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 84.02/53.59 tff(34361,plain,
% 84.02/53.59 (v260(constB63) | (~v256(constB63))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34360, 5150, 34357])).
% 84.02/53.59 tff(34362,plain,
% 84.02/53.59 (~v256(constB63)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34361, 34353])).
% 84.02/53.59 tff(34363,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB63, constB64)) | v256(constB63) | (~v258(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB63, constB64)) | v256(constB63) | (~v258(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34364,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB63, constB64)) | v256(constB63) | (~v258(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34365,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB63, constB64)) | v256(constB63) | (~v258(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34364, 34363])).
% 84.02/53.59 tff(34366,plain,
% 84.02/53.59 (v256(constB63) | (~v258(constB64))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34365, 5165, 9429])).
% 84.02/53.59 tff(34367,plain,
% 84.02/53.59 (~v258(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34366, 34362])).
% 84.02/53.59 tff(34368,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB64) | (~v259(constB64)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB64) | (~v259(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34369,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB64) | (~v259(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34370,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB64) | (~v259(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34369, 34368])).
% 84.02/53.59 tff(34371,plain,
% 84.02/53.59 (~v259(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34370, 5180, 34367])).
% 84.02/53.59 tff(34372,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB64) | (~v262(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB64) | (~v262(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34373,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB64) | (~v262(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34374,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB64) | (~v262(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 84.02/53.59 tff(34375,plain,
% 84.02/53.59 (~v262(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34374, 3915, 34142])).
% 84.02/53.59 tff(34376,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB64) | (~v261(constB64)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB64) | (~v261(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34377,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB64) | (~v261(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34378,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB64) | (~v261(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34377, 34376])).
% 84.02/53.59 tff(34379,plain,
% 84.02/53.59 (~v261(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34378, 3829, 34375])).
% 84.02/53.59 tff(34380,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB64) | (~v260(constB64)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB64) | (~v260(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34381,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB64) | (~v260(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34382,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB64) | (~v260(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 84.02/53.59 tff(34383,plain,
% 84.02/53.59 (~v260(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34382, 5194, 34379])).
% 84.02/53.59 tff(34384,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB64) | v260(constB64) | (~v256(constB64)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB64) | v260(constB64) | (~v256(constB64)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34385,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB64) | v260(constB64) | (~v256(constB64)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34386,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB64) | v260(constB64) | (~v256(constB64))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 84.02/53.59 tff(34387,plain,
% 84.02/53.59 (v259(constB64) | (~v256(constB64))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34386, 5150, 34383])).
% 84.02/53.59 tff(34388,plain,
% 84.02/53.59 (~v256(constB64)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34387, 34371])).
% 84.02/53.59 tff(34389,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB64, constB65)) | v256(constB64) | (~v258(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB64, constB65)) | v256(constB64) | (~v258(constB65)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34390,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB64, constB65)) | v256(constB64) | (~v258(constB65)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34391,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB64, constB65)) | v256(constB64) | (~v258(constB65))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34390, 34389])).
% 84.02/53.59 tff(34392,plain,
% 84.02/53.59 (v256(constB64) | (~v258(constB65))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34391, 5165, 9491])).
% 84.02/53.59 tff(34393,plain,
% 84.02/53.59 (~v258(constB65)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34392, 34388])).
% 84.02/53.59 tff(34394,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB65) | (~v271(constB65)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB65) | (~v271(constB65)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34395,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB65) | (~v271(constB65)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34396,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB65) | (~v271(constB65))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34395, 34394])).
% 84.02/53.59 tff(34397,plain,
% 84.02/53.59 (~v271(constB65)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34396, 23584, 34393])).
% 84.02/53.59 tff(34398,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB65)) | (~v270(constB65)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB65)) | (~v270(constB65)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34399,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB65)) | (~v270(constB65)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34400,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB65)) | (~v270(constB65))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34399, 34398])).
% 84.02/53.59 tff(34401,plain,
% 84.02/53.59 (~v270(constB65)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34400, 3694, 33768])).
% 84.02/53.59 tff(34402,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB65) | v271(constB65) | (~v267(constB65)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB65) | v271(constB65) | (~v267(constB65)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34403,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB65) | v271(constB65) | (~v267(constB65)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34404,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB65) | v271(constB65) | (~v267(constB65))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 84.02/53.59 tff(34405,plain,
% 84.02/53.59 (v271(constB65) | (~v267(constB65))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34404, 3857, 34401])).
% 84.02/53.59 tff(34406,plain,
% 84.02/53.59 (~v267(constB65)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34405, 34397])).
% 84.02/53.59 tff(34407,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB65, constB66)) | v267(constB65) | (~v269(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB65, constB66)) | v267(constB65) | (~v269(constB66)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34408,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB65, constB66)) | v267(constB65) | (~v269(constB66)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34409,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB65, constB66)) | v267(constB65) | (~v269(constB66))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 84.02/53.59 tff(34410,plain,
% 84.02/53.59 (v267(constB65) | (~v269(constB66))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34409, 3872, 9638])).
% 84.02/53.59 tff(34411,plain,
% 84.02/53.59 (~v269(constB66)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34410, 34406])).
% 84.02/53.59 tff(34412,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB66) | (~v270(constB66)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB66) | (~v270(constB66)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34413,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB66) | (~v270(constB66)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34414,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB66) | (~v270(constB66))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34413, 34412])).
% 84.02/53.59 tff(34415,plain,
% 84.02/53.59 (~v270(constB66)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34414, 3887, 34411])).
% 84.02/53.59 tff(34416,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB66) | (~v271(constB66)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB66) | (~v271(constB66)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34417,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB66) | (~v271(constB66)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34418,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB66) | (~v271(constB66))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34417, 34416])).
% 84.02/53.59 tff(34419,plain,
% 84.02/53.59 (~v271(constB66)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34418, 3843, 34194])).
% 84.02/53.59 tff(34420,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB66) | v271(constB66) | (~v267(constB66)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB66) | v271(constB66) | (~v267(constB66)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34421,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB66) | v271(constB66) | (~v267(constB66)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34422,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB66) | v271(constB66) | (~v267(constB66))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34421, 34420])).
% 84.02/53.59 tff(34423,plain,
% 84.02/53.59 (v270(constB66) | (~v267(constB66))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34422, 3857, 34419])).
% 84.02/53.59 tff(34424,plain,
% 84.02/53.59 (~v267(constB66)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34423, 34415])).
% 84.02/53.59 tff(34425,plain,
% 84.02/53.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB66, constB67)) | v267(constB66) | (~v269(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB66, constB67)) | v267(constB66) | (~v269(constB67)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34426,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB66, constB67)) | v267(constB66) | (~v269(constB67)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34427,plain,
% 84.02/53.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB66, constB67)) | v267(constB66) | (~v269(constB67))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34426, 34425])).
% 84.02/53.59 tff(34428,plain,
% 84.02/53.59 (v267(constB66) | (~v269(constB67))),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34427, 3872, 9700])).
% 84.02/53.59 tff(34429,plain,
% 84.02/53.59 (~v269(constB67)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34428, 34424])).
% 84.02/53.59 tff(34430,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB67) | (~v282(constB67)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB67) | (~v282(constB67)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34431,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB67) | (~v282(constB67)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34432,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB67) | (~v282(constB67))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34431, 34430])).
% 84.02/53.59 tff(34433,plain,
% 84.02/53.59 (~v282(constB67)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34432, 23952, 34429])).
% 84.02/53.59 tff(34434,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB67)) | (~v281(constB67)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB67)) | (~v281(constB67)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34435,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB67)) | (~v281(constB67)))),
% 84.02/53.59 inference(quant_inst,[status(thm)],[])).
% 84.02/53.59 tff(34436,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB67)) | (~v281(constB67))),
% 84.02/53.59 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 84.02/53.59 tff(34437,plain,
% 84.02/53.59 (~v281(constB67)),
% 84.02/53.59 inference(unit_resolution,[status(thm)],[34436, 23966, 33625])).
% 84.02/53.59 tff(34438,plain,
% 84.02/53.59 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB67) | v282(constB67) | (~v278(constB67)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB67) | v282(constB67) | (~v278(constB67)))),
% 84.02/53.59 inference(rewrite,[status(thm)],[])).
% 84.02/53.59 tff(34439,plain,
% 84.02/53.59 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB67) | v282(constB67) | (~v278(constB67)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34440,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB67) | v282(constB67) | (~v278(constB67))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34439, 34438])).
% 84.02/53.60 tff(34441,plain,
% 84.02/53.60 (v282(constB67) | (~v278(constB67))),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34440, 23980, 34437])).
% 84.02/53.60 tff(34442,plain,
% 84.02/53.60 (~v278(constB67)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34441, 34433])).
% 84.02/53.60 tff(34443,plain,
% 84.02/53.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB67, constB68)) | v278(constB67) | (~v280(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB67, constB68)) | v278(constB67) | (~v280(constB68)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34444,plain,
% 84.02/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB67, constB68)) | v278(constB67) | (~v280(constB68)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34445,plain,
% 84.02/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB67, constB68)) | v278(constB67) | (~v280(constB68))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34444, 34443])).
% 84.02/53.60 tff(34446,plain,
% 84.02/53.60 (v278(constB67) | (~v280(constB68))),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34445, 23995, 9828])).
% 84.02/53.60 tff(34447,plain,
% 84.02/53.60 (~v280(constB68)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34446, 34442])).
% 84.02/53.60 tff(34448,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB68) | (~v281(constB68)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB68) | (~v281(constB68)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34449,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB68) | (~v281(constB68)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34450,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB68) | (~v281(constB68))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 84.02/53.60 tff(34451,plain,
% 84.02/53.60 (~v281(constB68)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34450, 24010, 34447])).
% 84.02/53.60 tff(34452,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB68) | (~v282(constB68)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB68) | (~v282(constB68)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34453,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB68) | (~v282(constB68)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34454,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB68) | (~v282(constB68))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34453, 34452])).
% 84.02/53.60 tff(34455,plain,
% 84.02/53.60 (~v282(constB68)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34454, 24024, 33838])).
% 84.02/53.60 tff(34456,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB68) | v282(constB68) | (~v278(constB68)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB68) | v282(constB68) | (~v278(constB68)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34457,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB68) | v282(constB68) | (~v278(constB68)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34458,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB68) | v282(constB68) | (~v278(constB68))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34457, 34456])).
% 84.02/53.60 tff(34459,plain,
% 84.02/53.60 (v281(constB68) | (~v278(constB68))),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34458, 23980, 34455])).
% 84.02/53.60 tff(34460,plain,
% 84.02/53.60 (~v278(constB68)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34459, 34451])).
% 84.02/53.60 tff(34461,plain,
% 84.02/53.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB68, constB69)) | v278(constB68) | (~v280(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB68, constB69)) | v278(constB68) | (~v280(constB69)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34462,plain,
% 84.02/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB68, constB69)) | v278(constB68) | (~v280(constB69)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34463,plain,
% 84.02/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB68, constB69)) | v278(constB68) | (~v280(constB69))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34462, 34461])).
% 84.02/53.60 tff(34464,plain,
% 84.02/53.60 (v278(constB68) | (~v280(constB69))),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34463, 23995, 9890])).
% 84.02/53.60 tff(34465,plain,
% 84.02/53.60 (~v280(constB69)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34464, 34460])).
% 84.02/53.60 tff(34466,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB69) | (~v309(constB69)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB69) | (~v309(constB69)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34467,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB69) | (~v309(constB69)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34468,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB69) | (~v309(constB69))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 84.02/53.60 tff(34469,plain,
% 84.02/53.60 (~v309(constB69)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34468, 24048, 34465])).
% 84.02/53.60 tff(34470,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB69) | v288(constB69) | (~v289(constB69)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB69) | v288(constB69) | (~v289(constB69)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34471,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB69) | v288(constB69) | (~v289(constB69)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34472,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB69) | v288(constB69) | (~v289(constB69))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34471, 34470])).
% 84.02/53.60 tff(34473,plain,
% 84.02/53.60 (v288(constB69) | (~v289(constB69))),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34472, 5107, 34469])).
% 84.02/53.60 tff(34474,plain,
% 84.02/53.60 (v288(constB69)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34473, 34261])).
% 84.02/53.60 tff(34475,plain,
% 84.02/53.60 ($false),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34474, 33476])).
% 84.02/53.60 tff(34476,plain,((~(constB69 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.02/53.60 tff(34477,plain,
% 84.02/53.60 (~(constB69 = sK_VarCurr)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34476, 5240])).
% 84.02/53.60 tff(34478,assumption,(constB22 = sK_VarCurr), introduced(assumption)).
% 84.02/53.60 tff(34479,plain,
% 84.02/53.60 (v288(constB22) <=> v288(sK_VarCurr)),
% 84.02/53.60 inference(monotonicity,[status(thm)],[34478])).
% 84.02/53.60 tff(34480,plain,
% 84.02/53.60 (v288(sK_VarCurr) <=> v288(constB22)),
% 84.02/53.60 inference(symmetry,[status(thm)],[34479])).
% 84.02/53.60 tff(34481,plain,
% 84.02/53.60 ((~v288(sK_VarCurr)) <=> (~v288(constB22))),
% 84.02/53.60 inference(monotonicity,[status(thm)],[34480])).
% 84.02/53.60 tff(34482,plain,
% 84.02/53.60 (~v288(constB22)),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[5240, 34481])).
% 84.02/53.60 tff(34483,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB22) | (~v295(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB22) | (~v295(constB22)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34484,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB22) | (~v295(constB22)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34485,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB22) | (~v295(constB22))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 84.02/53.60 tff(34486,plain,
% 84.02/53.60 (~v295(constB22)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34485, 22562, 4299])).
% 84.02/53.60 tff(34487,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB22) | (~v294(constB22)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB22) | (~v294(constB22)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34488,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB22) | (~v294(constB22)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34489,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB22) | (~v294(constB22))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34488, 34487])).
% 84.02/53.60 tff(34490,plain,
% 84.02/53.60 (~v294(constB22)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34489, 15964, 34486])).
% 84.02/53.60 tff(34491,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB22) | (~v293(constB22)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB22) | (~v293(constB22)))),
% 84.02/53.60 inference(rewrite,[status(thm)],[])).
% 84.02/53.60 tff(34492,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB22) | (~v293(constB22)))),
% 84.02/53.60 inference(quant_inst,[status(thm)],[])).
% 84.02/53.60 tff(34493,plain,
% 84.02/53.60 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB22) | (~v293(constB22))),
% 84.02/53.60 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 84.02/53.60 tff(34494,plain,
% 84.02/53.60 (~v293(constB22)),
% 84.02/53.60 inference(unit_resolution,[status(thm)],[34493, 15978, 34490])).
% 84.02/53.60 tff(34495,plain,
% 84.02/53.60 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB22) | (~v299(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB22) | (~v299(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34496,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB22) | (~v299(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34497,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB22) | (~v299(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34496, 34495])).
% 84.03/53.60 tff(34498,plain,
% 84.03/53.60 (~v299(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34497, 22584, 4299])).
% 84.03/53.60 tff(34499,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB22) | (~v298(constB22)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB22) | (~v298(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34500,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB22) | (~v298(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34501,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB22) | (~v298(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34500, 34499])).
% 84.03/53.60 tff(34502,plain,
% 84.03/53.60 (~v298(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34501, 19336, 34498])).
% 84.03/53.60 tff(34503,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB22) | (~v297(constB22)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB22) | (~v297(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34504,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB22) | (~v297(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34505,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB22) | (~v297(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34504, 34503])).
% 84.03/53.60 tff(34506,plain,
% 84.03/53.60 (~v297(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34505, 19350, 34502])).
% 84.03/53.60 tff(34507,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB22) | v297(constB22) | (~v292(constB22)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB22) | v297(constB22) | (~v292(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34508,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB22) | v297(constB22) | (~v292(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34509,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB22) | v297(constB22) | (~v292(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34508, 34507])).
% 84.03/53.60 tff(34510,plain,
% 84.03/53.60 (~v292(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34509, 4781, 34506, 34494])).
% 84.03/53.60 tff(34511,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB22) | (~v304(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB22) | (~v304(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34512,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB22) | (~v304(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34513,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB22) | (~v304(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 84.03/53.60 tff(34514,plain,
% 84.03/53.60 (~v304(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34513, 22610, 4299])).
% 84.03/53.60 tff(34515,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB22) | (~v303(constB22)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB22) | (~v303(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34516,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB22) | (~v303(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34517,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB22) | (~v303(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34516, 34515])).
% 84.03/53.60 tff(34518,plain,
% 84.03/53.60 (~v303(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34517, 21948, 34514])).
% 84.03/53.60 tff(34519,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB22) | (~v302(constB22)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB22) | (~v302(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34520,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB22) | (~v302(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34521,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB22) | (~v302(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 84.03/53.60 tff(34522,plain,
% 84.03/53.60 (~v302(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34521, 21962, 34518])).
% 84.03/53.60 tff(34523,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB22) | v292(constB22) | v290(constB22))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB22) | v292(constB22) | v290(constB22))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34524,plain,
% 84.03/53.60 ((v292(constB22) | v302(constB22) | v290(constB22)) <=> (v302(constB22) | v292(constB22) | v290(constB22))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34525,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB22) | v302(constB22) | v290(constB22))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB22) | v292(constB22) | v290(constB22)))),
% 84.03/53.60 inference(monotonicity,[status(thm)],[34524])).
% 84.03/53.60 tff(34526,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB22) | v302(constB22) | v290(constB22))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB22) | v292(constB22) | v290(constB22))),
% 84.03/53.60 inference(transitivity,[status(thm)],[34525, 34523])).
% 84.03/53.60 tff(34527,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB22) | v302(constB22) | v290(constB22))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34528,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB22) | v292(constB22) | v290(constB22)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34527, 34526])).
% 84.03/53.60 tff(34529,plain,
% 84.03/53.60 (v292(constB22) | v290(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34528, 5074, 34522])).
% 84.03/53.60 tff(34530,plain,
% 84.03/53.60 (v290(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34529, 34510])).
% 84.03/53.60 tff(34531,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB22) | (~v307(constB22)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB22) | (~v307(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34532,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB22) | (~v307(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34533,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB22) | (~v307(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34532, 34531])).
% 84.03/53.60 tff(34534,plain,
% 84.03/53.60 (~v307(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34533, 22640, 34490])).
% 84.03/53.60 tff(34535,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB22) | v289(constB22) | (~v290(constB22)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB22) | v289(constB22) | (~v290(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34536,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB22) | v289(constB22) | (~v290(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34537,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB22) | v289(constB22) | (~v290(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34536, 34535])).
% 84.03/53.60 tff(34538,plain,
% 84.03/53.60 (v289(constB22) | (~v290(constB22))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34537, 5092, 34534])).
% 84.03/53.60 tff(34539,plain,
% 84.03/53.60 (v289(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34538, 34530])).
% 84.03/53.60 tff(34540,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB22) | (~v311(constB22)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB22) | (~v311(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34541,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB22) | (~v311(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34542,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB22) | (~v311(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34541, 34540])).
% 84.03/53.60 tff(34543,plain,
% 84.03/53.60 (~v311(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34542, 22659, 4299])).
% 84.03/53.60 tff(34544,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB22) | (~v310(constB22)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB22) | (~v310(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34545,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB22) | (~v310(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34546,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB22) | (~v310(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34545, 34544])).
% 84.03/53.60 tff(34547,plain,
% 84.03/53.60 (~v310(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34546, 3574, 34543])).
% 84.03/53.60 tff(34548,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB22) | (~v309(constB22)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB22) | (~v309(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34549,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB22) | (~v309(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34550,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB22) | (~v309(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34549, 34548])).
% 84.03/53.60 tff(34551,plain,
% 84.03/53.60 (~v309(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34550, 3588, 34547])).
% 84.03/53.60 tff(34552,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB22) | v288(constB22) | (~v289(constB22)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB22) | v288(constB22) | (~v289(constB22)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34553,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB22) | v288(constB22) | (~v289(constB22)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34554,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB22) | v288(constB22) | (~v289(constB22))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 84.03/53.60 tff(34555,plain,
% 84.03/53.60 (v288(constB22) | (~v289(constB22))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34554, 5107, 34551])).
% 84.03/53.60 tff(34556,plain,
% 84.03/53.60 (v288(constB22)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34555, 34539])).
% 84.03/53.60 tff(34557,plain,
% 84.03/53.60 ($false),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34556, 34482])).
% 84.03/53.60 tff(34558,plain,((~(constB22 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.03/53.60 tff(34559,plain,
% 84.03/53.60 (~(constB22 = sK_VarCurr)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34558, 5240])).
% 84.03/53.60 tff(34560,assumption,(constB101 = sK_VarCurr), introduced(assumption)).
% 84.03/53.60 tff(34561,plain,
% 84.03/53.60 (v288(constB101) <=> v288(sK_VarCurr)),
% 84.03/53.60 inference(monotonicity,[status(thm)],[34560])).
% 84.03/53.60 tff(34562,plain,
% 84.03/53.60 (v288(sK_VarCurr) <=> v288(constB101)),
% 84.03/53.60 inference(symmetry,[status(thm)],[34561])).
% 84.03/53.60 tff(34563,plain,
% 84.03/53.60 ((~v288(sK_VarCurr)) <=> (~v288(constB101))),
% 84.03/53.60 inference(monotonicity,[status(thm)],[34562])).
% 84.03/53.60 tff(34564,plain,
% 84.03/53.60 (~v288(constB101)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[5240, 34563])).
% 84.03/53.60 tff(34565,plain,
% 84.03/53.60 (~v130(constB95, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[14051, 1882, 13403])).
% 84.03/53.60 tff(34566,plain,
% 84.03/53.60 (~v127(constB95, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[14047, 34565])).
% 84.03/53.60 tff(34567,plain,
% 84.03/53.60 (~v129(constB96, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[14039, 34566])).
% 84.03/53.60 tff(34568,plain,
% 84.03/53.60 ((~v90(constB96, 0)) | (~v100(constB96))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[14033, 929, 34567])).
% 84.03/53.60 tff(34569,plain,
% 84.03/53.60 (~v90(constB96, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34568, 13470])).
% 84.03/53.60 tff(34570,plain,
% 84.03/53.60 (~v90(constB97, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[14004, 34569])).
% 84.03/53.60 tff(34571,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34572,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34573,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 84.03/53.60 tff(34574,plain,
% 84.03/53.60 (~v88(constB97, 0)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34573, 3705, 34570])).
% 84.03/53.60 tff(34575,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34576,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34577,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 84.03/53.60 tff(34578,plain,
% 84.03/53.60 (v88(constB97, 2)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34577, 3716, 13519])).
% 84.03/53.60 tff(34579,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34580,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34581,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34580, 34579])).
% 84.03/53.60 tff(34582,plain,
% 84.03/53.60 (v88(constB97, 1)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34581, 3727, 13554])).
% 84.03/53.60 tff(34583,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34584,plain,
% 84.03/53.60 (((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97)) <=> ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34585,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0)))),
% 84.03/53.60 inference(monotonicity,[status(thm)],[34584])).
% 84.03/53.60 tff(34586,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 84.03/53.60 inference(transitivity,[status(thm)],[34585, 34583])).
% 84.03/53.60 tff(34587,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34588,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34587, 34586])).
% 84.03/53.60 tff(34589,plain,
% 84.03/53.60 (v144(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34588, 3741, 34582, 34578, 34574])).
% 84.03/53.60 tff(34590,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34591,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34592,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34591, 34590])).
% 84.03/53.60 tff(34593,plain,
% 84.03/53.60 (v142(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34592, 3755, 34589])).
% 84.03/53.60 tff(34594,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB97)) | v227(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB97)) | v227(constB97))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34595,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB97)) | v227(constB97))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34596,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB97)) | v227(constB97)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34595, 34594])).
% 84.03/53.60 tff(34597,plain,
% 84.03/53.60 (v227(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34596, 3766, 34593])).
% 84.03/53.60 tff(34598,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB97) | (~v227(constB97)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB97) | (~v227(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34599,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB97) | (~v227(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34600,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB97) | (~v227(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34599, 34598])).
% 84.03/53.60 tff(34601,plain,
% 84.03/53.60 (v226(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34600, 3517, 34597])).
% 84.03/53.60 tff(34602,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34603,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34604,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34603, 34602])).
% 84.03/53.60 tff(34605,plain,
% 84.03/53.60 (~v139(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34604, 3958, 34582])).
% 84.03/53.60 tff(34606,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34607,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34608,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34607, 34606])).
% 84.03/53.60 tff(34609,plain,
% 84.03/53.60 (~v140(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34608, 3969, 34582])).
% 84.03/53.60 tff(34610,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB97) | v140(constB97) | (~v168(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34611,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v168(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34612,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB97) | v140(constB97) | (~v168(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34611, 34610])).
% 84.03/53.60 tff(34613,plain,
% 84.03/53.60 (~v168(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34612, 3983, 34609, 34605])).
% 84.03/53.60 tff(34614,plain,
% 84.03/53.60 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB97)) | v168(constB97) | (~v226(constB97)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34615,plain,
% 84.03/53.60 (((~v226(constB97)) | v168(constB97) | (~v161(constB97))) <=> ((~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34616,plain,
% 84.03/53.60 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB97)) | v168(constB97) | (~v161(constB97)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB97)) | v168(constB97) | (~v226(constB97))))),
% 84.03/53.60 inference(monotonicity,[status(thm)],[34615])).
% 84.03/53.60 tff(34617,plain,
% 84.03/53.60 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB97)) | v168(constB97) | (~v161(constB97)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97)))),
% 84.03/53.60 inference(transitivity,[status(thm)],[34616, 34614])).
% 84.03/53.60 tff(34618,plain,
% 84.03/53.60 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB97)) | v168(constB97) | (~v161(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34619,plain,
% 84.03/53.60 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB97)) | v168(constB97) | (~v226(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34618, 34617])).
% 84.03/53.60 tff(34620,plain,
% 84.03/53.60 ((~v161(constB97)) | (~v226(constB97))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34619, 3997, 34613])).
% 84.03/53.60 tff(34621,plain,
% 84.03/53.60 (~v161(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34620, 34601])).
% 84.03/53.60 tff(34622,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34623,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB97) | (~v187(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34624,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB97) | (~v187(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 84.03/53.60 tff(34625,plain,
% 84.03/53.60 (~v187(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34624, 4015, 34621])).
% 84.03/53.60 tff(34626,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34627,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34628,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 84.03/53.60 tff(34629,plain,
% 84.03/53.60 (~v185(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34628, 4029, 34625])).
% 84.03/53.60 tff(34630,assumption,(v18(constB98)), introduced(assumption)).
% 84.03/53.60 tff(34631,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB98))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34632,plain,
% 84.03/53.60 ($false),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34631, 3600, 34630])).
% 84.03/53.60 tff(34633,plain,(~v18(constB98)), inference(lemma,lemma(discharge,[]))).
% 84.03/53.60 tff(34634,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34635,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34636,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 84.03/53.60 tff(34637,plain,
% 84.03/53.60 (v22(constB98)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34636, 3613, 13611])).
% 84.03/53.60 tff(34638,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34639,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34640,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 84.03/53.60 tff(34641,plain,
% 84.03/53.60 (v18(constB98) | (~v19(constB98))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34640, 3627, 34637])).
% 84.03/53.60 tff(34642,plain,
% 84.03/53.60 (~v19(constB98)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34641, 34633])).
% 84.03/53.60 tff(34643,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34644,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34645,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34644, 34643])).
% 84.03/53.60 tff(34646,plain,
% 84.03/53.60 (v13(constB98)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34645, 3639, 34642])).
% 84.03/53.60 tff(34647,plain,
% 84.03/53.60 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34648,plain,
% 84.03/53.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34649,plain,
% 84.03/53.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34648, 34647])).
% 84.03/53.60 tff(34650,plain,
% 84.03/53.60 (v9(constB97) | (~v13(constB98))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34649, 3653, 13593])).
% 84.03/53.60 tff(34651,plain,
% 84.03/53.60 (v9(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34650, 34646])).
% 84.03/53.60 tff(34652,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34653,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34654,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34653, 34652])).
% 84.03/53.60 tff(34655,plain,
% 84.03/53.60 ((~v9(constB97)) | v184(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34654, 3668, 13495])).
% 84.03/53.60 tff(34656,plain,
% 84.03/53.60 (v184(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34655, 34651])).
% 84.03/53.60 tff(34657,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34658,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34659,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97)),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34658, 34657])).
% 84.03/53.60 tff(34660,plain,
% 84.03/53.60 (v183(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34659, 3680, 34656])).
% 84.03/53.60 tff(34661,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34662,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34663,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34662, 34661])).
% 84.03/53.60 tff(34664,plain,
% 84.03/53.60 (~v181(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34663, 4247, 34660])).
% 84.03/53.60 tff(34665,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34666,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34667,plain,
% 84.03/53.60 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34666, 34665])).
% 84.03/53.60 tff(34668,plain,
% 84.03/53.60 (v185(constB97) | (~v178(constB97))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34667, 4261, 34664])).
% 84.03/53.60 tff(34669,plain,
% 84.03/53.60 (~v178(constB97)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34668, 34629])).
% 84.03/53.60 tff(34670,plain,
% 84.03/53.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 84.03/53.60 inference(rewrite,[status(thm)],[])).
% 84.03/53.60 tff(34671,plain,
% 84.03/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 84.03/53.60 inference(quant_inst,[status(thm)],[])).
% 84.03/53.60 tff(34672,plain,
% 84.03/53.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98))),
% 84.03/53.60 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 84.03/53.60 tff(34673,plain,
% 84.03/53.60 (v178(constB97) | (~v180(constB98))),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34672, 4276, 13593])).
% 84.03/53.60 tff(34674,plain,
% 84.03/53.60 (~v180(constB98)),
% 84.03/53.60 inference(unit_resolution,[status(thm)],[34673, 34669])).
% 84.03/53.60 tff(34675,plain,
% 84.03/53.60 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34676,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34677,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34676, 34675])).
% 84.03/53.61 tff(34678,plain,
% 84.03/53.61 (~v181(constB98)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34677, 4291, 34674])).
% 84.03/53.61 tff(34679,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34680,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34681,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34680, 34679])).
% 84.03/53.61 tff(34682,plain,
% 84.03/53.61 (~v184(constB98)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34681, 3901, 13611])).
% 84.03/53.61 tff(34683,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34684,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34685,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34684, 34683])).
% 84.03/53.61 tff(34686,plain,
% 84.03/53.61 (~v187(constB98)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34685, 4309, 34682])).
% 84.03/53.61 tff(34687,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34688,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34689,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34688, 34687])).
% 84.03/53.61 tff(34690,plain,
% 84.03/53.61 (~v185(constB98)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34689, 4029, 34686])).
% 84.03/53.61 tff(34691,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34692,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34693,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34692, 34691])).
% 84.03/53.61 tff(34694,plain,
% 84.03/53.61 (v181(constB98) | (~v178(constB98))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34693, 4261, 34690])).
% 84.03/53.61 tff(34695,plain,
% 84.03/53.61 (~v178(constB98)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34694, 34678])).
% 84.03/53.61 tff(34696,plain,
% 84.03/53.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34697,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34698,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34697, 34696])).
% 84.03/53.61 tff(34699,plain,
% 84.03/53.61 (v178(constB98) | (~v180(constB99))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34698, 4276, 14218])).
% 84.03/53.61 tff(34700,plain,
% 84.03/53.61 (~v180(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34699, 34695])).
% 84.03/53.61 tff(34701,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB99) | (~v215(constB99)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB99) | (~v215(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34702,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB99) | (~v215(constB99)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34703,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB99) | (~v215(constB99))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34702, 34701])).
% 84.03/53.61 tff(34704,plain,
% 84.03/53.61 (~v215(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34703, 4427, 34700])).
% 84.03/53.61 tff(34705,assumption,(v18(constB100)), introduced(assumption)).
% 84.03/53.61 tff(34706,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB100))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34707,plain,
% 84.03/53.61 ($false),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34706, 3600, 34705])).
% 84.03/53.61 tff(34708,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 84.03/53.61 tff(34709,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34710,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34711,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34710, 34709])).
% 84.03/53.61 tff(34712,plain,
% 84.03/53.61 (v22(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34711, 3613, 14368])).
% 84.03/53.61 tff(34713,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34714,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34715,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34714, 34713])).
% 84.03/53.61 tff(34716,plain,
% 84.03/53.61 (v18(constB100) | (~v19(constB100))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34715, 3627, 34712])).
% 84.03/53.61 tff(34717,plain,
% 84.03/53.61 (~v19(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34716, 34708])).
% 84.03/53.61 tff(34718,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34719,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34720,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34719, 34718])).
% 84.03/53.61 tff(34721,plain,
% 84.03/53.61 (v13(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34720, 3639, 34717])).
% 84.03/53.61 tff(34722,plain,
% 84.03/53.61 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34723,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34724,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34723, 34722])).
% 84.03/53.61 tff(34725,plain,
% 84.03/53.61 (v9(constB99) | (~v13(constB100))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34724, 3653, 14324])).
% 84.03/53.61 tff(34726,plain,
% 84.03/53.61 (v9(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34725, 34721])).
% 84.03/53.61 tff(34727,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34728,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34729,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34728, 34727])).
% 84.03/53.61 tff(34730,plain,
% 84.03/53.61 ((~v9(constB99)) | v184(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34729, 3668, 14215])).
% 84.03/53.61 tff(34731,plain,
% 84.03/53.61 (v184(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34730, 34726])).
% 84.03/53.61 tff(34732,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB99) | (~v184(constB99)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34733,plain,
% 84.03/53.61 (((~v184(constB99)) | v183(constB99)) <=> (v183(constB99) | (~v184(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34734,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB99) | (~v184(constB99))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34733])).
% 84.03/53.61 tff(34735,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34734, 34732])).
% 84.03/53.61 tff(34736,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34737,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34736, 34735])).
% 84.03/53.61 tff(34738,plain,
% 84.03/53.61 (v183(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34737, 3680, 34731])).
% 84.03/53.61 tff(34739,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB99)) | (~v214(constB99)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB99)) | (~v214(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34740,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB99)) | (~v214(constB99)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34741,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB99)) | (~v214(constB99))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34740, 34739])).
% 84.03/53.61 tff(34742,plain,
% 84.03/53.61 (~v214(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34741, 4593, 34738])).
% 84.03/53.61 tff(34743,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB99) | v215(constB99) | (~v211(constB99)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB99) | v215(constB99) | (~v211(constB99)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34744,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB99) | v215(constB99) | (~v211(constB99)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34745,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB99) | v215(constB99) | (~v211(constB99))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34744, 34743])).
% 84.03/53.61 tff(34746,plain,
% 84.03/53.61 (v215(constB99) | (~v211(constB99))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34745, 4607, 34742])).
% 84.03/53.61 tff(34747,plain,
% 84.03/53.61 (~v211(constB99)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34746, 34704])).
% 84.03/53.61 tff(34748,plain,
% 84.03/53.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34749,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34750,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB99, constB100)) | v211(constB99) | (~v213(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34749, 34748])).
% 84.03/53.61 tff(34751,plain,
% 84.03/53.61 (v211(constB99) | (~v213(constB100))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34750, 4622, 14324])).
% 84.03/53.61 tff(34752,plain,
% 84.03/53.61 (~v213(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34751, 34747])).
% 84.03/53.61 tff(34753,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB100) | (~v214(constB100)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB100) | (~v214(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34754,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB100) | (~v214(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34755,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB100) | (~v214(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34754, 34753])).
% 84.03/53.61 tff(34756,plain,
% 84.03/53.61 (~v214(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34755, 4637, 34752])).
% 84.03/53.61 tff(34757,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34758,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34759,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34758, 34757])).
% 84.03/53.61 tff(34760,plain,
% 84.03/53.61 (~v184(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34759, 3901, 14368])).
% 84.03/53.61 tff(34761,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB100) | (~v217(constB100)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB100) | (~v217(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34762,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB100) | (~v217(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34763,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB100) | (~v217(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34762, 34761])).
% 84.03/53.61 tff(34764,plain,
% 84.03/53.61 (~v217(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34763, 4651, 34760])).
% 84.03/53.61 tff(34765,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB100) | (~v216(constB100)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB100) | (~v216(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34766,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB100) | (~v216(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34767,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB100) | (~v216(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34766, 34765])).
% 84.03/53.61 tff(34768,plain,
% 84.03/53.61 (~v216(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34767, 4565, 34764])).
% 84.03/53.61 tff(34769,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB100) | (~v215(constB100)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB100) | (~v215(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34770,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB100) | (~v215(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34771,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB100) | (~v215(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34770, 34769])).
% 84.03/53.61 tff(34772,plain,
% 84.03/53.61 (~v215(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34771, 4579, 34768])).
% 84.03/53.61 tff(34773,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB100) | v215(constB100) | (~v211(constB100)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB100) | v215(constB100) | (~v211(constB100)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34774,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB100) | v215(constB100) | (~v211(constB100)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34775,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB100) | v215(constB100) | (~v211(constB100))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34774, 34773])).
% 84.03/53.61 tff(34776,plain,
% 84.03/53.61 (v214(constB100) | (~v211(constB100))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34775, 4607, 34772])).
% 84.03/53.61 tff(34777,plain,
% 84.03/53.61 (~v211(constB100)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34776, 34756])).
% 84.03/53.61 tff(34778,plain,
% 84.03/53.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34779,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34780,plain,
% 84.03/53.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB100, constB101)) | v211(constB100) | (~v213(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34779, 34778])).
% 84.03/53.61 tff(34781,plain,
% 84.03/53.61 (v211(constB100) | (~v213(constB101))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34780, 4622, 14482])).
% 84.03/53.61 tff(34782,plain,
% 84.03/53.61 (~v213(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34781, 34777])).
% 84.03/53.61 tff(34783,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB101) | (~v297(constB101)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB101) | (~v297(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34784,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB101) | (~v297(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34785,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB101) | (~v297(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34784, 34783])).
% 84.03/53.61 tff(34786,plain,
% 84.03/53.61 (~v297(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34785, 4767, 34782])).
% 84.03/53.61 tff(34787,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB101) | (~v142(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34788,plain,
% 84.03/53.61 (((~v142(constB101)) | v148(constB101)) <=> (v148(constB101) | (~v142(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34789,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB101)) | v148(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | (v148(constB101) | (~v142(constB101))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34788])).
% 84.03/53.61 tff(34790,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB101)) | v148(constB101))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB101) | (~v142(constB101)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34789, 34787])).
% 84.03/53.61 tff(34791,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | ((~v142(constB101)) | v148(constB101))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34792,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v148(VarCurr))) | v148(constB101) | (~v142(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34791, 34790])).
% 84.03/53.61 tff(34793,plain,
% 84.03/53.61 (v148(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34792, 15914, 22121])).
% 84.03/53.61 tff(34794,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB101) | (~v148(constB101)) | (~v226(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v226(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34795,plain,
% 84.03/53.61 (((~v148(constB101)) | v86(constB101) | (~v226(constB101))) <=> (v86(constB101) | (~v148(constB101)) | (~v226(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34796,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v226(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | (v86(constB101) | (~v148(constB101)) | (~v226(constB101))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34795])).
% 84.03/53.61 tff(34797,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v226(constB101)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v226(constB101)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34796, 34794])).
% 84.03/53.61 tff(34798,plain,
% 84.03/53.61 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | ((~v148(constB101)) | v86(constB101) | (~v226(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34799,plain,
% 84.03/53.61 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v226(VarNext)))) | v86(constB101) | (~v148(constB101)) | (~v226(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34798, 34797])).
% 84.03/53.61 tff(34800,plain,
% 84.03/53.61 (v86(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34799, 15936, 22129, 34793])).
% 84.03/53.61 tff(34801,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB101)) | (~v86(constB101)))) <=> ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB101)) | (~v86(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34802,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | ((~v295(constB101)) | (~v86(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34803,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v295(VarCurr)) | (~v86(VarCurr)))) | (~v295(constB101)) | (~v86(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34802, 34801])).
% 84.03/53.61 tff(34804,plain,
% 84.03/53.61 (~v295(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34803, 15950, 34800])).
% 84.03/53.61 tff(34805,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB101) | (~v294(constB101)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB101) | (~v294(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34806,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB101) | (~v294(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34807,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB101) | (~v294(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34806, 34805])).
% 84.03/53.61 tff(34808,plain,
% 84.03/53.61 (~v294(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34807, 15964, 34804])).
% 84.03/53.61 tff(34809,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB101) | (~v293(constB101)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB101) | (~v293(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34810,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB101) | (~v293(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34811,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB101) | (~v293(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34810, 34809])).
% 84.03/53.61 tff(34812,plain,
% 84.03/53.61 (~v293(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34811, 15978, 34808])).
% 84.03/53.61 tff(34813,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB101) | v297(constB101) | (~v292(constB101)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB101) | v297(constB101) | (~v292(constB101)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34814,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB101) | v297(constB101) | (~v292(constB101)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34815,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB101) | v297(constB101) | (~v292(constB101))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34814, 34813])).
% 84.03/53.61 tff(34816,plain,
% 84.03/53.61 (~v292(constB101)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34815, 4781, 34812, 34786])).
% 84.03/53.61 tff(34817,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB95, 2)) | v88(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB95, 2)) | v88(constB95, 2))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34818,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB95, 2)) | v88(constB95, 2))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34819,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB95, 2)) | v88(constB95, 2)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34818, 34817])).
% 84.03/53.61 tff(34820,plain,
% 84.03/53.61 (v88(constB95, 2)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34819, 3716, 13387])).
% 84.03/53.61 tff(34821,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB95)) | (~v88(constB95, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB95)) | (~v88(constB95, 2)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34822,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB95)) | (~v88(constB95, 2)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34823,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB95)) | (~v88(constB95, 2))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 84.03/53.61 tff(34824,plain,
% 84.03/53.61 (~v140(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34823, 4044, 34820])).
% 84.03/53.61 tff(34825,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB95, 0)) | v88(constB95, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB95, 0)) | v88(constB95, 0))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34826,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB95, 0)) | v88(constB95, 0))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34827,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB95, 0)) | v88(constB95, 0)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34826, 34825])).
% 84.03/53.61 tff(34828,plain,
% 84.03/53.61 (v88(constB95, 0)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34827, 3447, 13352])).
% 84.03/53.61 tff(34829,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB95)) | (~v88(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB95)) | (~v88(constB95, 0)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34830,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB95)) | (~v88(constB95, 0)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34831,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB95)) | (~v88(constB95, 0))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34830, 34829])).
% 84.03/53.61 tff(34832,plain,
% 84.03/53.61 (~v139(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34831, 4059, 34828])).
% 84.03/53.61 tff(34833,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB95) | v140(constB95) | (~v168(constB95)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB95) | v140(constB95) | (~v168(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34834,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB95) | v140(constB95) | (~v168(constB95)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34835,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB95) | v140(constB95) | (~v168(constB95))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34834, 34833])).
% 84.03/53.61 tff(34836,plain,
% 84.03/53.61 (v140(constB95) | (~v168(constB95))),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34835, 3983, 34832])).
% 84.03/53.61 tff(34837,plain,
% 84.03/53.61 (~v168(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34836, 34824])).
% 84.03/53.61 tff(34838,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB95, 1)) | v90(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB95, 1)) | v90(constB95, 1))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34839,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB95, 1)) | v90(constB95, 1))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34840,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB95, 1)) | v90(constB95, 1)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34839, 34838])).
% 84.03/53.61 tff(34841,plain,
% 84.03/53.61 (~v88(constB95, 1)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34840, 3405, 13342])).
% 84.03/53.61 tff(34842,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34843,plain,
% 84.03/53.61 (((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95)) <=> ((~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34844,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34843])).
% 84.03/53.61 tff(34845,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34844, 34842])).
% 84.03/53.61 tff(34846,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB95, 2)) | v88(constB95, 1) | (~v88(constB95, 0)) | v147(constB95))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34847,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1) | (~v88(constB95, 0))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34846, 34845])).
% 84.03/53.61 tff(34848,plain,
% 84.03/53.61 ((~v88(constB95, 2)) | v147(constB95) | v88(constB95, 1)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34847, 4081, 34828])).
% 84.03/53.61 tff(34849,plain,
% 84.03/53.61 (v147(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34848, 34820, 34841])).
% 84.03/53.61 tff(34850,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB95)) | v145(constB95))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB95)) | v145(constB95))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34851,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB95)) | v145(constB95))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34852,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB95)) | v145(constB95)),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 84.03/53.61 tff(34853,plain,
% 84.03/53.61 (v145(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34852, 4095, 34849])).
% 84.03/53.61 tff(34854,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB95) | (~v145(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34855,plain,
% 84.03/53.61 (((~v145(constB95)) | v226(constB95)) <=> (v226(constB95) | (~v145(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34856,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB95)) | v226(constB95))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB95) | (~v145(constB95))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34855])).
% 84.03/53.61 tff(34857,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB95)) | v226(constB95))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB95) | (~v145(constB95)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34856, 34854])).
% 84.03/53.61 tff(34858,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB95)) | v226(constB95))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34859,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB95) | (~v145(constB95))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34858, 34857])).
% 84.03/53.61 tff(34860,plain,
% 84.03/53.61 (v226(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34859, 4106, 34853])).
% 84.03/53.61 tff(34861,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v226(constB95)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34862,plain,
% 84.03/53.61 (((~v226(constB95)) | v168(constB95) | (~v161(constB95))) <=> ((~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34863,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB95)) | v168(constB95) | (~v161(constB95)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB95)) | v168(constB95) | (~v226(constB95))))),
% 84.03/53.61 inference(monotonicity,[status(thm)],[34862])).
% 84.03/53.61 tff(34864,plain,
% 84.03/53.61 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB95)) | v168(constB95) | (~v161(constB95)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95)))),
% 84.03/53.61 inference(transitivity,[status(thm)],[34863, 34861])).
% 84.03/53.61 tff(34865,plain,
% 84.03/53.61 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB95)) | v168(constB95) | (~v161(constB95)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34866,plain,
% 84.03/53.61 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB95)) | v168(constB95) | (~v226(constB95))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 84.03/53.61 tff(34867,plain,
% 84.03/53.61 (~v161(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34866, 3997, 34860, 34837])).
% 84.03/53.61 tff(34868,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34869,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB95) | (~v187(constB95)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34870,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB95) | (~v187(constB95))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34869, 34868])).
% 84.03/53.61 tff(34871,plain,
% 84.03/53.61 (~v187(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34870, 4015, 34867])).
% 84.03/53.61 tff(34872,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34873,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB95) | (~v185(constB95)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34874,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB95) | (~v185(constB95))),
% 84.03/53.61 inference(modus_ponens,[status(thm)],[34873, 34872])).
% 84.03/53.61 tff(34875,plain,
% 84.03/53.61 (~v185(constB95)),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34874, 4029, 34871])).
% 84.03/53.61 tff(34876,assumption,(v18(constB96)), introduced(assumption)).
% 84.03/53.61 tff(34877,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB96))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34878,plain,
% 84.03/53.61 ($false),
% 84.03/53.61 inference(unit_resolution,[status(thm)],[34877, 3600, 34876])).
% 84.03/53.61 tff(34879,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 84.03/53.61 tff(34880,plain,
% 84.03/53.61 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 84.03/53.61 inference(rewrite,[status(thm)],[])).
% 84.03/53.61 tff(34881,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 84.03/53.61 inference(quant_inst,[status(thm)],[])).
% 84.03/53.61 tff(34882,plain,
% 84.03/53.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34881, 34880])).
% 84.03/53.62 tff(34883,plain,
% 84.03/53.62 (v22(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34882, 3613, 13456])).
% 84.03/53.62 tff(34884,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34885,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34886,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34885, 34884])).
% 84.03/53.62 tff(34887,plain,
% 84.03/53.62 (v18(constB96) | (~v19(constB96))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34886, 3627, 34883])).
% 84.03/53.62 tff(34888,plain,
% 84.03/53.62 (~v19(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34887, 34879])).
% 84.03/53.62 tff(34889,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34890,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34891,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34890, 34889])).
% 84.03/53.62 tff(34892,plain,
% 84.03/53.62 (v13(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34891, 3639, 34888])).
% 84.03/53.62 tff(34893,plain,
% 84.03/53.62 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34894,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34895,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34894, 34893])).
% 84.03/53.62 tff(34896,plain,
% 84.03/53.62 (v9(constB95) | (~v13(constB96))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34895, 3653, 13436])).
% 84.03/53.62 tff(34897,plain,
% 84.03/53.62 (v9(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34896, 34892])).
% 84.03/53.62 tff(34898,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34899,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v184(constB95))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34900,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB95) | (~v9(constB95)) | v184(constB95)),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 84.03/53.62 tff(34901,plain,
% 84.03/53.62 ((~v9(constB95)) | v184(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34900, 3668, 13318])).
% 84.03/53.62 tff(34902,plain,
% 84.03/53.62 (v184(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34901, 34897])).
% 84.03/53.62 tff(34903,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB95) | (~v184(constB95)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB95) | (~v184(constB95)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34904,plain,
% 84.03/53.62 (((~v184(constB95)) | v183(constB95)) <=> (v183(constB95) | (~v184(constB95)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34905,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB95)) | v183(constB95))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB95) | (~v184(constB95))))),
% 84.03/53.62 inference(monotonicity,[status(thm)],[34904])).
% 84.03/53.62 tff(34906,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB95)) | v183(constB95))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB95) | (~v184(constB95)))),
% 84.03/53.62 inference(transitivity,[status(thm)],[34905, 34903])).
% 84.03/53.62 tff(34907,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB95)) | v183(constB95))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34908,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB95) | (~v184(constB95))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34907, 34906])).
% 84.03/53.62 tff(34909,plain,
% 84.03/53.62 (v183(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34908, 3680, 34902])).
% 84.03/53.62 tff(34910,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB95)) | (~v183(constB95)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34911,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB95)) | (~v183(constB95)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34912,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB95)) | (~v183(constB95))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34911, 34910])).
% 84.03/53.62 tff(34913,plain,
% 84.03/53.62 (~v181(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34912, 4247, 34909])).
% 84.03/53.62 tff(34914,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34915,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB95) | v185(constB95) | (~v178(constB95)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34916,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB95) | v185(constB95) | (~v178(constB95))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34915, 34914])).
% 84.03/53.62 tff(34917,plain,
% 84.03/53.62 (v185(constB95) | (~v178(constB95))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34916, 4261, 34913])).
% 84.03/53.62 tff(34918,plain,
% 84.03/53.62 (~v178(constB95)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34917, 34875])).
% 84.03/53.62 tff(34919,plain,
% 84.03/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34920,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34921,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB95, constB96)) | v178(constB95) | (~v180(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34920, 34919])).
% 84.03/53.62 tff(34922,plain,
% 84.03/53.62 (v178(constB95) | (~v180(constB96))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34921, 4276, 13436])).
% 84.03/53.62 tff(34923,plain,
% 84.03/53.62 (~v180(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34922, 34918])).
% 84.03/53.62 tff(34924,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34925,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB96) | (~v181(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34926,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB96) | (~v181(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34925, 34924])).
% 84.03/53.62 tff(34927,plain,
% 84.03/53.62 (~v181(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34926, 4291, 34923])).
% 84.03/53.62 tff(34928,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34929,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB96)) | (~v184(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34930,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB96)) | (~v184(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34929, 34928])).
% 84.03/53.62 tff(34931,plain,
% 84.03/53.62 (~v184(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34930, 3901, 13456])).
% 84.03/53.62 tff(34932,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34933,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB96) | (~v187(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34934,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB96) | (~v187(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 84.03/53.62 tff(34935,plain,
% 84.03/53.62 (~v187(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34934, 4309, 34931])).
% 84.03/53.62 tff(34936,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34937,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB96) | (~v185(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34938,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB96) | (~v185(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34937, 34936])).
% 84.03/53.62 tff(34939,plain,
% 84.03/53.62 (~v185(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34938, 4029, 34935])).
% 84.03/53.62 tff(34940,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34941,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB96) | v185(constB96) | (~v178(constB96)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34942,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB96) | v185(constB96) | (~v178(constB96))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34941, 34940])).
% 84.03/53.62 tff(34943,plain,
% 84.03/53.62 (v181(constB96) | (~v178(constB96))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34942, 4261, 34939])).
% 84.03/53.62 tff(34944,plain,
% 84.03/53.62 (~v178(constB96)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34943, 34927])).
% 84.03/53.62 tff(34945,plain,
% 84.03/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34946,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34947,plain,
% 84.03/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB96, constB97)) | v178(constB96) | (~v180(constB97))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34946, 34945])).
% 84.03/53.62 tff(34948,plain,
% 84.03/53.62 (v178(constB96) | (~v180(constB97))),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34947, 4276, 13498])).
% 84.03/53.62 tff(34949,plain,
% 84.03/53.62 (~v180(constB97)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34948, 34944])).
% 84.03/53.62 tff(34950,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB97) | (~v215(constB97)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB97) | (~v215(constB97)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34951,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB97) | (~v215(constB97)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34952,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB97) | (~v215(constB97))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34951, 34950])).
% 84.03/53.62 tff(34953,plain,
% 84.03/53.62 (~v215(constB97)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34952, 4427, 34949])).
% 84.03/53.62 tff(34954,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB97)) | (~v214(constB97)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB97)) | (~v214(constB97)))),
% 84.03/53.62 inference(rewrite,[status(thm)],[])).
% 84.03/53.62 tff(34955,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB97)) | (~v214(constB97)))),
% 84.03/53.62 inference(quant_inst,[status(thm)],[])).
% 84.03/53.62 tff(34956,plain,
% 84.03/53.62 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB97)) | (~v214(constB97))),
% 84.03/53.62 inference(modus_ponens,[status(thm)],[34955, 34954])).
% 84.03/53.62 tff(34957,plain,
% 84.03/53.62 (~v214(constB97)),
% 84.03/53.62 inference(unit_resolution,[status(thm)],[34956, 4593, 34660])).
% 84.03/53.62 tff(34958,plain,
% 84.03/53.62 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB97) | v215(constB97) | (~v211(constB97)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB97) | v215(constB97) | (~v211(constB97)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34959,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB97) | v215(constB97) | (~v211(constB97)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34960,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB97) | v215(constB97) | (~v211(constB97))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34959, 34958])).
% 84.05/53.62 tff(34961,plain,
% 84.05/53.62 (v215(constB97) | (~v211(constB97))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34960, 4607, 34957])).
% 84.05/53.62 tff(34962,plain,
% 84.05/53.62 (~v211(constB97)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34961, 34953])).
% 84.05/53.62 tff(34963,plain,
% 84.05/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB97, constB98)) | v211(constB97) | (~v213(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB97, constB98)) | v211(constB97) | (~v213(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34964,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB97, constB98)) | v211(constB97) | (~v213(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34965,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB97, constB98)) | v211(constB97) | (~v213(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34964, 34963])).
% 84.05/53.62 tff(34966,plain,
% 84.05/53.62 (v211(constB97) | (~v213(constB98))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34965, 4622, 13593])).
% 84.05/53.62 tff(34967,plain,
% 84.05/53.62 (~v213(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34966, 34962])).
% 84.05/53.62 tff(34968,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB98) | (~v214(constB98)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB98) | (~v214(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34969,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB98) | (~v214(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34970,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB98) | (~v214(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34969, 34968])).
% 84.05/53.62 tff(34971,plain,
% 84.05/53.62 (~v214(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34970, 4637, 34967])).
% 84.05/53.62 tff(34972,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB98) | (~v217(constB98)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB98) | (~v217(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34973,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB98) | (~v217(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34974,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB98) | (~v217(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34973, 34972])).
% 84.05/53.62 tff(34975,plain,
% 84.05/53.62 (~v217(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34974, 4651, 34682])).
% 84.05/53.62 tff(34976,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB98) | (~v216(constB98)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB98) | (~v216(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34977,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB98) | (~v216(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34978,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB98) | (~v216(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34977, 34976])).
% 84.05/53.62 tff(34979,plain,
% 84.05/53.62 (~v216(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34978, 4565, 34975])).
% 84.05/53.62 tff(34980,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB98) | (~v215(constB98)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB98) | (~v215(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34981,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB98) | (~v215(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34982,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB98) | (~v215(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34981, 34980])).
% 84.05/53.62 tff(34983,plain,
% 84.05/53.62 (~v215(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34982, 4579, 34979])).
% 84.05/53.62 tff(34984,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB98) | v215(constB98) | (~v211(constB98)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB98) | v215(constB98) | (~v211(constB98)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34985,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB98) | v215(constB98) | (~v211(constB98)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34986,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB98) | v215(constB98) | (~v211(constB98))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 84.05/53.62 tff(34987,plain,
% 84.05/53.62 (v214(constB98) | (~v211(constB98))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34986, 4607, 34983])).
% 84.05/53.62 tff(34988,plain,
% 84.05/53.62 (~v211(constB98)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34987, 34971])).
% 84.05/53.62 tff(34989,plain,
% 84.05/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB98, constB99)) | v211(constB98) | (~v213(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB98, constB99)) | v211(constB98) | (~v213(constB99)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34990,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB98, constB99)) | v211(constB98) | (~v213(constB99)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34991,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB98, constB99)) | v211(constB98) | (~v213(constB99))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34990, 34989])).
% 84.05/53.62 tff(34992,plain,
% 84.05/53.62 (v211(constB98) | (~v213(constB99))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34991, 4622, 14218])).
% 84.05/53.62 tff(34993,plain,
% 84.05/53.62 (~v213(constB99)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34992, 34988])).
% 84.05/53.62 tff(34994,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB99) | (~v245(constB99)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB99) | (~v245(constB99)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34995,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB99) | (~v245(constB99)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(34996,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB99) | (~v245(constB99))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 84.05/53.62 tff(34997,plain,
% 84.05/53.62 (~v245(constB99)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[34996, 4796, 34993])).
% 84.05/53.62 tff(34998,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB99)) | (~v244(constB99)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB99)) | (~v244(constB99)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(34999,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB99)) | (~v244(constB99)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35000,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB99)) | (~v244(constB99))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[34999, 34998])).
% 84.05/53.62 tff(35001,plain,
% 84.05/53.62 (~v244(constB99)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35000, 4891, 34738])).
% 84.05/53.62 tff(35002,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB99) | v245(constB99) | (~v241(constB99)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB99) | v245(constB99) | (~v241(constB99)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35003,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB99) | v245(constB99) | (~v241(constB99)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35004,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB99) | v245(constB99) | (~v241(constB99))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35003, 35002])).
% 84.05/53.62 tff(35005,plain,
% 84.05/53.62 (v245(constB99) | (~v241(constB99))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35004, 4905, 35001])).
% 84.05/53.62 tff(35006,plain,
% 84.05/53.62 (~v241(constB99)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35005, 34997])).
% 84.05/53.62 tff(35007,plain,
% 84.05/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB99, constB100)) | v241(constB99) | (~v243(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB99, constB100)) | v241(constB99) | (~v243(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35008,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB99, constB100)) | v241(constB99) | (~v243(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35009,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB99, constB100)) | v241(constB99) | (~v243(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35008, 35007])).
% 84.05/53.62 tff(35010,plain,
% 84.05/53.62 (v241(constB99) | (~v243(constB100))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35009, 4920, 14324])).
% 84.05/53.62 tff(35011,plain,
% 84.05/53.62 (~v243(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35010, 35006])).
% 84.05/53.62 tff(35012,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB100) | (~v244(constB100)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB100) | (~v244(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35013,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB100) | (~v244(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35014,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB100) | (~v244(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35013, 35012])).
% 84.05/53.62 tff(35015,plain,
% 84.05/53.62 (~v244(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35014, 4935, 35011])).
% 84.05/53.62 tff(35016,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB100) | (~v247(constB100)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB100) | (~v247(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35017,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB100) | (~v247(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35018,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB100) | (~v247(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35017, 35016])).
% 84.05/53.62 tff(35019,plain,
% 84.05/53.62 (~v247(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35018, 4949, 34760])).
% 84.05/53.62 tff(35020,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB100) | (~v246(constB100)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB100) | (~v246(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35021,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB100) | (~v246(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35022,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB100) | (~v246(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35021, 35020])).
% 84.05/53.62 tff(35023,plain,
% 84.05/53.62 (~v246(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35022, 4863, 35019])).
% 84.05/53.62 tff(35024,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB100) | (~v245(constB100)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB100) | (~v245(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35025,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB100) | (~v245(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35026,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB100) | (~v245(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35025, 35024])).
% 84.05/53.62 tff(35027,plain,
% 84.05/53.62 (~v245(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35026, 4877, 35023])).
% 84.05/53.62 tff(35028,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB100) | v245(constB100) | (~v241(constB100)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB100) | v245(constB100) | (~v241(constB100)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35029,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB100) | v245(constB100) | (~v241(constB100)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35030,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB100) | v245(constB100) | (~v241(constB100))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35029, 35028])).
% 84.05/53.62 tff(35031,plain,
% 84.05/53.62 (v244(constB100) | (~v241(constB100))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35030, 4905, 35027])).
% 84.05/53.62 tff(35032,plain,
% 84.05/53.62 (~v241(constB100)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35031, 35015])).
% 84.05/53.62 tff(35033,plain,
% 84.05/53.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB100, constB101)) | v241(constB100) | (~v243(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB100, constB101)) | v241(constB100) | (~v243(constB101)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35034,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB100, constB101)) | v241(constB100) | (~v243(constB101)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35035,plain,
% 84.05/53.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB100, constB101)) | v241(constB100) | (~v243(constB101))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35034, 35033])).
% 84.05/53.62 tff(35036,plain,
% 84.05/53.62 (v241(constB100) | (~v243(constB101))),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35035, 4920, 14482])).
% 84.05/53.62 tff(35037,plain,
% 84.05/53.62 (~v243(constB101)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35036, 35032])).
% 84.05/53.62 tff(35038,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB101) | (~v302(constB101)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB101) | (~v302(constB101)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35039,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB101) | (~v302(constB101)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35040,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB101) | (~v302(constB101))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35039, 35038])).
% 84.05/53.62 tff(35041,plain,
% 84.05/53.62 (~v302(constB101)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35040, 5060, 35037])).
% 84.05/53.62 tff(35042,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB101) | v292(constB101) | v290(constB101))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB101) | v292(constB101) | v290(constB101))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35043,plain,
% 84.05/53.62 ((v292(constB101) | v302(constB101) | v290(constB101)) <=> (v302(constB101) | v292(constB101) | v290(constB101))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35044,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB101) | v302(constB101) | v290(constB101))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB101) | v292(constB101) | v290(constB101)))),
% 84.05/53.62 inference(monotonicity,[status(thm)],[35043])).
% 84.05/53.62 tff(35045,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB101) | v302(constB101) | v290(constB101))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB101) | v292(constB101) | v290(constB101))),
% 84.05/53.62 inference(transitivity,[status(thm)],[35044, 35042])).
% 84.05/53.62 tff(35046,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB101) | v302(constB101) | v290(constB101))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35047,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB101) | v292(constB101) | v290(constB101)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35046, 35045])).
% 84.05/53.62 tff(35048,plain,
% 84.05/53.62 (v292(constB101) | v290(constB101)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35047, 5074, 35041])).
% 84.05/53.62 tff(35049,plain,
% 84.05/53.62 (v290(constB101)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35048, 34816])).
% 84.05/53.62 tff(35050,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35051,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB91, 2)) | v90(constB91, 2))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35052,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB91, 2)) | v90(constB91, 2)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35051, 35050])).
% 84.05/53.62 tff(35053,plain,
% 84.05/53.62 (~v88(constB91, 2)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35052, 3360, 12447])).
% 84.05/53.62 tff(35054,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35055,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB91, 1)) | v88(constB91, 1))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35056,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB91, 1)) | v88(constB91, 1)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35055, 35054])).
% 84.05/53.62 tff(35057,plain,
% 84.05/53.62 (v88(constB91, 1)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35056, 3727, 12478])).
% 84.05/53.62 tff(35058,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35059,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB91, 0)) | v88(constB91, 0))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35060,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB91, 0)) | v88(constB91, 0)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35059, 35058])).
% 84.05/53.62 tff(35061,plain,
% 84.05/53.62 (v88(constB91, 0)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35060, 3447, 12509])).
% 84.05/53.62 tff(35062,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35063,plain,
% 84.05/53.62 ((v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91)) <=> ((~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35064,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2)))),
% 84.05/53.62 inference(monotonicity,[status(thm)],[35063])).
% 84.05/53.62 tff(35065,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2))),
% 84.05/53.62 inference(transitivity,[status(thm)],[35064, 35062])).
% 84.05/53.62 tff(35066,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB91, 2) | (~v88(constB91, 1)) | (~v88(constB91, 0)) | v141(constB91))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35067,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB91, 0)) | (~v88(constB91, 1)) | v141(constB91) | v88(constB91, 2)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35066, 35065])).
% 84.05/53.62 tff(35068,plain,
% 84.05/53.62 (v141(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35067, 19257, 35061, 35057, 35053])).
% 84.05/53.62 tff(35069,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB91)) | v228(constB91))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB91)) | v228(constB91))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35070,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB91)) | v228(constB91))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35071,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB91)) | v228(constB91)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35070, 35069])).
% 84.05/53.62 tff(35072,plain,
% 84.05/53.62 (v228(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35071, 19268, 35068])).
% 84.05/53.62 tff(35073,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB91)) | v227(constB91))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB91)) | v227(constB91))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35074,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB91)) | v227(constB91))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35075,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB91)) | v227(constB91)),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35074, 35073])).
% 84.05/53.62 tff(35076,plain,
% 84.05/53.62 (v227(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35075, 3503, 35072])).
% 84.05/53.62 tff(35077,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB91) | (~v227(constB91)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB91) | (~v227(constB91)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35078,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB91) | (~v227(constB91)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35079,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB91) | (~v227(constB91))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35078, 35077])).
% 84.05/53.62 tff(35080,plain,
% 84.05/53.62 (v226(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35079, 3517, 35076])).
% 84.05/53.62 tff(35081,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35082,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB91)) | (~v88(constB91, 1)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35083,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB91)) | (~v88(constB91, 1))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35082, 35081])).
% 84.05/53.62 tff(35084,plain,
% 84.05/53.62 (~v140(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35083, 3969, 35057])).
% 84.05/53.62 tff(35085,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35086,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB91)) | (~v88(constB91, 0)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35087,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB91)) | (~v88(constB91, 0))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35086, 35085])).
% 84.05/53.62 tff(35088,plain,
% 84.05/53.62 (~v139(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35087, 4059, 35061])).
% 84.05/53.62 tff(35089,plain,
% 84.05/53.62 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35090,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB91) | v140(constB91) | (~v168(constB91)))),
% 84.05/53.62 inference(quant_inst,[status(thm)],[])).
% 84.05/53.62 tff(35091,plain,
% 84.05/53.62 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB91) | v140(constB91) | (~v168(constB91))),
% 84.05/53.62 inference(modus_ponens,[status(thm)],[35090, 35089])).
% 84.05/53.62 tff(35092,plain,
% 84.05/53.62 (~v168(constB91)),
% 84.05/53.62 inference(unit_resolution,[status(thm)],[35091, 3983, 35088, 35084])).
% 84.05/53.62 tff(35093,plain,
% 84.05/53.62 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB91)) | v168(constB91) | (~v226(constB91)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35094,plain,
% 84.05/53.62 (((~v226(constB91)) | v168(constB91) | (~v161(constB91))) <=> ((~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 84.05/53.62 inference(rewrite,[status(thm)],[])).
% 84.05/53.62 tff(35095,plain,
% 84.05/53.62 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB91)) | v168(constB91) | (~v161(constB91)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB91)) | v168(constB91) | (~v226(constB91))))),
% 84.05/53.63 inference(monotonicity,[status(thm)],[35094])).
% 84.05/53.63 tff(35096,plain,
% 84.05/53.63 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB91)) | v168(constB91) | (~v161(constB91)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91)))),
% 84.05/53.63 inference(transitivity,[status(thm)],[35095, 35093])).
% 84.05/53.63 tff(35097,plain,
% 84.05/53.63 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB91)) | v168(constB91) | (~v161(constB91)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35098,plain,
% 84.05/53.63 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB91)) | v168(constB91) | (~v226(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 84.05/53.63 tff(35099,plain,
% 84.05/53.63 ((~v161(constB91)) | (~v226(constB91))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35098, 3997, 35092])).
% 84.05/53.63 tff(35100,plain,
% 84.05/53.63 (~v161(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35099, 35080])).
% 84.05/53.63 tff(35101,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35102,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB91) | (~v187(constB91)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35103,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB91) | (~v187(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35102, 35101])).
% 84.05/53.63 tff(35104,plain,
% 84.05/53.63 (~v187(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35103, 4015, 35100])).
% 84.05/53.63 tff(35105,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35106,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB91) | (~v185(constB91)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35107,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB91) | (~v185(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35106, 35105])).
% 84.05/53.63 tff(35108,plain,
% 84.05/53.63 (~v185(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35107, 4029, 35104])).
% 84.05/53.63 tff(35109,assumption,(v18(constB92)), introduced(assumption)).
% 84.05/53.63 tff(35110,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB92))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35111,plain,
% 84.05/53.63 ($false),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35110, 3600, 35109])).
% 84.05/53.63 tff(35112,plain,(~v18(constB92)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.63 tff(35113,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35114,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB92) | (~v1(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35115,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB92) | (~v1(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35114, 35113])).
% 84.05/53.63 tff(35116,plain,
% 84.05/53.63 (v22(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35115, 3613, 12580])).
% 84.05/53.63 tff(35117,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35118,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB92) | (~v22(constB92)) | (~v19(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35119,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB92) | (~v22(constB92)) | (~v19(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35118, 35117])).
% 84.05/53.63 tff(35120,plain,
% 84.05/53.63 (v18(constB92) | (~v19(constB92))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35119, 3627, 35116])).
% 84.05/53.63 tff(35121,plain,
% 84.05/53.63 (~v19(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35120, 35112])).
% 84.05/53.63 tff(35122,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35123,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB92) | v19(constB92))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35124,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB92) | v19(constB92)),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35123, 35122])).
% 84.05/53.63 tff(35125,plain,
% 84.05/53.63 (v13(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35124, 3639, 35121])).
% 84.05/53.63 tff(35126,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35127,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35128,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB91) | (~v13(constB92)) | (~nextState(constB91, constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 84.05/53.63 tff(35129,plain,
% 84.05/53.63 (v9(constB91) | (~v13(constB92))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35128, 3653, 12560])).
% 84.05/53.63 tff(35130,plain,
% 84.05/53.63 (v9(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35129, 35125])).
% 84.05/53.63 tff(35131,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35132,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB91) | (~v9(constB91)) | v184(constB91))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35133,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB91) | (~v9(constB91)) | v184(constB91)),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35132, 35131])).
% 84.05/53.63 tff(35134,plain,
% 84.05/53.63 ((~v9(constB91)) | v184(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35133, 3668, 12423])).
% 84.05/53.63 tff(35135,plain,
% 84.05/53.63 (v184(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35134, 35130])).
% 84.05/53.63 tff(35136,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB91) | (~v184(constB91)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB91) | (~v184(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35137,plain,
% 84.05/53.63 (((~v184(constB91)) | v183(constB91)) <=> (v183(constB91) | (~v184(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35138,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB91)) | v183(constB91))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB91) | (~v184(constB91))))),
% 84.05/53.63 inference(monotonicity,[status(thm)],[35137])).
% 84.05/53.63 tff(35139,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB91)) | v183(constB91))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB91) | (~v184(constB91)))),
% 84.05/53.63 inference(transitivity,[status(thm)],[35138, 35136])).
% 84.05/53.63 tff(35140,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB91)) | v183(constB91))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35141,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB91) | (~v184(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35140, 35139])).
% 84.05/53.63 tff(35142,plain,
% 84.05/53.63 (v183(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35141, 3680, 35135])).
% 84.05/53.63 tff(35143,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB91)) | (~v183(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35144,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB91)) | (~v183(constB91)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35145,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB91)) | (~v183(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35144, 35143])).
% 84.05/53.63 tff(35146,plain,
% 84.05/53.63 (~v181(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35145, 4247, 35142])).
% 84.05/53.63 tff(35147,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35148,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB91) | v185(constB91) | (~v178(constB91)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35149,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB91) | v185(constB91) | (~v178(constB91))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35148, 35147])).
% 84.05/53.63 tff(35150,plain,
% 84.05/53.63 (v185(constB91) | (~v178(constB91))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35149, 4261, 35146])).
% 84.05/53.63 tff(35151,plain,
% 84.05/53.63 (~v178(constB91)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35150, 35108])).
% 84.05/53.63 tff(35152,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35153,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35154,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB91, constB92)) | v178(constB91) | (~v180(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35153, 35152])).
% 84.05/53.63 tff(35155,plain,
% 84.05/53.63 (v178(constB91) | (~v180(constB92))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35154, 4276, 12560])).
% 84.05/53.63 tff(35156,plain,
% 84.05/53.63 (~v180(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35155, 35151])).
% 84.05/53.63 tff(35157,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35158,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB92) | (~v181(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35159,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB92) | (~v181(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 84.05/53.63 tff(35160,plain,
% 84.05/53.63 (~v181(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35159, 4291, 35156])).
% 84.05/53.63 tff(35161,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35162,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB92)) | (~v184(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35163,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB92)) | (~v184(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 84.05/53.63 tff(35164,plain,
% 84.05/53.63 (~v184(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35163, 3901, 12580])).
% 84.05/53.63 tff(35165,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35166,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB92) | (~v187(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35167,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB92) | (~v187(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35166, 35165])).
% 84.05/53.63 tff(35168,plain,
% 84.05/53.63 (~v187(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35167, 4309, 35164])).
% 84.05/53.63 tff(35169,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35170,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB92) | (~v185(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35171,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB92) | (~v185(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35170, 35169])).
% 84.05/53.63 tff(35172,plain,
% 84.05/53.63 (~v185(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35171, 4029, 35168])).
% 84.05/53.63 tff(35173,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35174,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB92) | v185(constB92) | (~v178(constB92)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35175,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB92) | v185(constB92) | (~v178(constB92))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35174, 35173])).
% 84.05/53.63 tff(35176,plain,
% 84.05/53.63 (v181(constB92) | (~v178(constB92))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35175, 4261, 35172])).
% 84.05/53.63 tff(35177,plain,
% 84.05/53.63 (~v178(constB92)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35176, 35160])).
% 84.05/53.63 tff(35178,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35179,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35180,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB92, constB93)) | v178(constB92) | (~v180(constB93))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 84.05/53.63 tff(35181,plain,
% 84.05/53.63 (v178(constB92) | (~v180(constB93))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35180, 4276, 12622])).
% 84.05/53.63 tff(35182,plain,
% 84.05/53.63 (~v180(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35181, 35177])).
% 84.05/53.63 tff(35183,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB93) | (~v215(constB93)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB93) | (~v215(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35184,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB93) | (~v215(constB93)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35185,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB93) | (~v215(constB93))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35184, 35183])).
% 84.05/53.63 tff(35186,plain,
% 84.05/53.63 (~v215(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35185, 4427, 35182])).
% 84.05/53.63 tff(35187,assumption,(v18(constB94)), introduced(assumption)).
% 84.05/53.63 tff(35188,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35189,plain,
% 84.05/53.63 ($false),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35188, 3600, 35187])).
% 84.05/53.63 tff(35190,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.63 tff(35191,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35192,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35193,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35192, 35191])).
% 84.05/53.63 tff(35194,plain,
% 84.05/53.63 (v22(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35193, 3613, 12770])).
% 84.05/53.63 tff(35195,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35196,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35197,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35196, 35195])).
% 84.05/53.63 tff(35198,plain,
% 84.05/53.63 (v18(constB94) | (~v19(constB94))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35197, 3627, 35194])).
% 84.05/53.63 tff(35199,plain,
% 84.05/53.63 (~v19(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35198, 35190])).
% 84.05/53.63 tff(35200,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35201,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35202,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35201, 35200])).
% 84.05/53.63 tff(35203,plain,
% 84.05/53.63 (v13(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35202, 3639, 35199])).
% 84.05/53.63 tff(35204,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35205,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35206,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35205, 35204])).
% 84.05/53.63 tff(35207,plain,
% 84.05/53.63 (v9(constB93) | (~v13(constB94))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35206, 3653, 12734])).
% 84.05/53.63 tff(35208,plain,
% 84.05/53.63 (v9(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35207, 35203])).
% 84.05/53.63 tff(35209,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35210,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35211,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93)),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35210, 35209])).
% 84.05/53.63 tff(35212,plain,
% 84.05/53.63 ((~v9(constB93)) | v184(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35211, 3668, 12619])).
% 84.05/53.63 tff(35213,plain,
% 84.05/53.63 (v184(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35212, 35208])).
% 84.05/53.63 tff(35214,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB93) | (~v184(constB93)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35215,plain,
% 84.05/53.63 (((~v184(constB93)) | v183(constB93)) <=> (v183(constB93) | (~v184(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35216,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB93) | (~v184(constB93))))),
% 84.05/53.63 inference(monotonicity,[status(thm)],[35215])).
% 84.05/53.63 tff(35217,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93)))),
% 84.05/53.63 inference(transitivity,[status(thm)],[35216, 35214])).
% 84.05/53.63 tff(35218,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35219,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB93) | (~v184(constB93))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35218, 35217])).
% 84.05/53.63 tff(35220,plain,
% 84.05/53.63 (v183(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35219, 3680, 35213])).
% 84.05/53.63 tff(35221,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB93)) | (~v214(constB93)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB93)) | (~v214(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35222,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB93)) | (~v214(constB93)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35223,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB93)) | (~v214(constB93))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35222, 35221])).
% 84.05/53.63 tff(35224,plain,
% 84.05/53.63 (~v214(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35223, 4593, 35220])).
% 84.05/53.63 tff(35225,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB93) | v215(constB93) | (~v211(constB93)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB93) | v215(constB93) | (~v211(constB93)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35226,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB93) | v215(constB93) | (~v211(constB93)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35227,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB93) | v215(constB93) | (~v211(constB93))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35226, 35225])).
% 84.05/53.63 tff(35228,plain,
% 84.05/53.63 (v215(constB93) | (~v211(constB93))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35227, 4607, 35224])).
% 84.05/53.63 tff(35229,plain,
% 84.05/53.63 (~v211(constB93)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35228, 35186])).
% 84.05/53.63 tff(35230,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35231,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35232,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB93, constB94)) | v211(constB93) | (~v213(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35231, 35230])).
% 84.05/53.63 tff(35233,plain,
% 84.05/53.63 (v211(constB93) | (~v213(constB94))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35232, 4622, 12734])).
% 84.05/53.63 tff(35234,plain,
% 84.05/53.63 (~v213(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35233, 35229])).
% 84.05/53.63 tff(35235,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB94) | (~v214(constB94)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB94) | (~v214(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35236,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB94) | (~v214(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35237,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB94) | (~v214(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35236, 35235])).
% 84.05/53.63 tff(35238,plain,
% 84.05/53.63 (~v214(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35237, 4637, 35234])).
% 84.05/53.63 tff(35239,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35240,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35241,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35240, 35239])).
% 84.05/53.63 tff(35242,plain,
% 84.05/53.63 (~v184(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35241, 3901, 12770])).
% 84.05/53.63 tff(35243,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB94) | (~v217(constB94)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB94) | (~v217(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35244,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB94) | (~v217(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35245,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB94) | (~v217(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35244, 35243])).
% 84.05/53.63 tff(35246,plain,
% 84.05/53.63 (~v217(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35245, 4651, 35242])).
% 84.05/53.63 tff(35247,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB94) | (~v216(constB94)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB94) | (~v216(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35248,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB94) | (~v216(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35249,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB94) | (~v216(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35248, 35247])).
% 84.05/53.63 tff(35250,plain,
% 84.05/53.63 (~v216(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35249, 4565, 35246])).
% 84.05/53.63 tff(35251,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB94) | (~v215(constB94)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB94) | (~v215(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35252,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB94) | (~v215(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35253,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB94) | (~v215(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35252, 35251])).
% 84.05/53.63 tff(35254,plain,
% 84.05/53.63 (~v215(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35253, 4579, 35250])).
% 84.05/53.63 tff(35255,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB94) | v215(constB94) | (~v211(constB94)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB94) | v215(constB94) | (~v211(constB94)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35256,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB94) | v215(constB94) | (~v211(constB94)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35257,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB94) | v215(constB94) | (~v211(constB94))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35256, 35255])).
% 84.05/53.63 tff(35258,plain,
% 84.05/53.63 (v214(constB94) | (~v211(constB94))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35257, 4607, 35254])).
% 84.05/53.63 tff(35259,plain,
% 84.05/53.63 (~v211(constB94)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35258, 35238])).
% 84.05/53.63 tff(35260,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35261,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35262,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB94, constB95)) | v211(constB94) | (~v213(constB95))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35261, 35260])).
% 84.05/53.63 tff(35263,plain,
% 84.05/53.63 (v211(constB94) | (~v213(constB95))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35262, 4622, 13321])).
% 84.05/53.63 tff(35264,plain,
% 84.05/53.63 (~v213(constB95)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35263, 35259])).
% 84.05/53.63 tff(35265,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB95) | (~v245(constB95)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB95) | (~v245(constB95)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35266,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB95) | (~v245(constB95)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35267,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB95) | (~v245(constB95))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35266, 35265])).
% 84.05/53.63 tff(35268,plain,
% 84.05/53.63 (~v245(constB95)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35267, 4796, 35264])).
% 84.05/53.63 tff(35269,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB95)) | (~v244(constB95)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB95)) | (~v244(constB95)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35270,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB95)) | (~v244(constB95)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35271,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB95)) | (~v244(constB95))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35270, 35269])).
% 84.05/53.63 tff(35272,plain,
% 84.05/53.63 (~v244(constB95)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35271, 4891, 34909])).
% 84.05/53.63 tff(35273,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB95) | v245(constB95) | (~v241(constB95)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB95) | v245(constB95) | (~v241(constB95)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35274,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB95) | v245(constB95) | (~v241(constB95)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35275,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB95) | v245(constB95) | (~v241(constB95))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35274, 35273])).
% 84.05/53.63 tff(35276,plain,
% 84.05/53.63 (v245(constB95) | (~v241(constB95))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35275, 4905, 35272])).
% 84.05/53.63 tff(35277,plain,
% 84.05/53.63 (~v241(constB95)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35276, 35268])).
% 84.05/53.63 tff(35278,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35279,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35280,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB95, constB96)) | v241(constB95) | (~v243(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35279, 35278])).
% 84.05/53.63 tff(35281,plain,
% 84.05/53.63 (v241(constB95) | (~v243(constB96))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35280, 4920, 13436])).
% 84.05/53.63 tff(35282,plain,
% 84.05/53.63 (~v243(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35281, 35277])).
% 84.05/53.63 tff(35283,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB96) | (~v244(constB96)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB96) | (~v244(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35284,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB96) | (~v244(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35285,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB96) | (~v244(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35284, 35283])).
% 84.05/53.63 tff(35286,plain,
% 84.05/53.63 (~v244(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35285, 4935, 35282])).
% 84.05/53.63 tff(35287,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB96) | (~v247(constB96)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB96) | (~v247(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35288,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB96) | (~v247(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35289,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB96) | (~v247(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35288, 35287])).
% 84.05/53.63 tff(35290,plain,
% 84.05/53.63 (~v247(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35289, 4949, 34931])).
% 84.05/53.63 tff(35291,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB96) | (~v246(constB96)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB96) | (~v246(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35292,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB96) | (~v246(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35293,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB96) | (~v246(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 84.05/53.63 tff(35294,plain,
% 84.05/53.63 (~v246(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35293, 4863, 35290])).
% 84.05/53.63 tff(35295,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB96) | (~v245(constB96)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB96) | (~v245(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35296,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB96) | (~v245(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35297,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB96) | (~v245(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 84.05/53.63 tff(35298,plain,
% 84.05/53.63 (~v245(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35297, 4877, 35294])).
% 84.05/53.63 tff(35299,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB96) | v245(constB96) | (~v241(constB96)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB96) | v245(constB96) | (~v241(constB96)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35300,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB96) | v245(constB96) | (~v241(constB96)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35301,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB96) | v245(constB96) | (~v241(constB96))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 84.05/53.63 tff(35302,plain,
% 84.05/53.63 (v244(constB96) | (~v241(constB96))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35301, 4905, 35298])).
% 84.05/53.63 tff(35303,plain,
% 84.05/53.63 (~v241(constB96)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35302, 35286])).
% 84.05/53.63 tff(35304,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35305,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35306,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB96, constB97)) | v241(constB96) | (~v243(constB97))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35305, 35304])).
% 84.05/53.63 tff(35307,plain,
% 84.05/53.63 (v241(constB96) | (~v243(constB97))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35306, 4920, 13498])).
% 84.05/53.63 tff(35308,plain,
% 84.05/53.63 (~v243(constB97)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35307, 35303])).
% 84.05/53.63 tff(35309,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB97) | (~v260(constB97)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB97) | (~v260(constB97)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35310,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB97) | (~v260(constB97)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35311,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB97) | (~v260(constB97))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35310, 35309])).
% 84.05/53.63 tff(35312,plain,
% 84.05/53.63 (~v260(constB97)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35311, 5136, 35308])).
% 84.05/53.63 tff(35313,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB97)) | (~v259(constB97)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB97)) | (~v259(constB97)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35314,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB97)) | (~v259(constB97)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35315,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB97)) | (~v259(constB97))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35314, 35313])).
% 84.05/53.63 tff(35316,plain,
% 84.05/53.63 (~v259(constB97)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35315, 5122, 34660])).
% 84.05/53.63 tff(35317,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB97) | v260(constB97) | (~v256(constB97)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB97) | v260(constB97) | (~v256(constB97)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35318,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB97) | v260(constB97) | (~v256(constB97)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35319,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB97) | v260(constB97) | (~v256(constB97))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35318, 35317])).
% 84.05/53.63 tff(35320,plain,
% 84.05/53.63 (v260(constB97) | (~v256(constB97))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35319, 5150, 35316])).
% 84.05/53.63 tff(35321,plain,
% 84.05/53.63 (~v256(constB97)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35320, 35312])).
% 84.05/53.63 tff(35322,plain,
% 84.05/53.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35323,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35324,plain,
% 84.05/53.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB97, constB98)) | v256(constB97) | (~v258(constB98))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 84.05/53.63 tff(35325,plain,
% 84.05/53.63 (v256(constB97) | (~v258(constB98))),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35324, 5165, 13593])).
% 84.05/53.63 tff(35326,plain,
% 84.05/53.63 (~v258(constB98)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35325, 35321])).
% 84.05/53.63 tff(35327,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB98) | (~v259(constB98)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB98) | (~v259(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35328,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB98) | (~v259(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35329,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB98) | (~v259(constB98))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35328, 35327])).
% 84.05/53.63 tff(35330,plain,
% 84.05/53.63 (~v259(constB98)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35329, 5180, 35326])).
% 84.05/53.63 tff(35331,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB98) | (~v262(constB98)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB98) | (~v262(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35332,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB98) | (~v262(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35333,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB98) | (~v262(constB98))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35332, 35331])).
% 84.05/53.63 tff(35334,plain,
% 84.05/53.63 (~v262(constB98)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35333, 3915, 34682])).
% 84.05/53.63 tff(35335,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB98) | (~v261(constB98)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB98) | (~v261(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35336,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB98) | (~v261(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35337,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB98) | (~v261(constB98))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35336, 35335])).
% 84.05/53.63 tff(35338,plain,
% 84.05/53.63 (~v261(constB98)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35337, 3829, 35334])).
% 84.05/53.63 tff(35339,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB98) | (~v260(constB98)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB98) | (~v260(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35340,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB98) | (~v260(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.63 tff(35341,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB98) | (~v260(constB98))),
% 84.05/53.63 inference(modus_ponens,[status(thm)],[35340, 35339])).
% 84.05/53.63 tff(35342,plain,
% 84.05/53.63 (~v260(constB98)),
% 84.05/53.63 inference(unit_resolution,[status(thm)],[35341, 5194, 35338])).
% 84.05/53.63 tff(35343,plain,
% 84.05/53.63 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB98) | v260(constB98) | (~v256(constB98)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB98) | v260(constB98) | (~v256(constB98)))),
% 84.05/53.63 inference(rewrite,[status(thm)],[])).
% 84.05/53.63 tff(35344,plain,
% 84.05/53.63 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB98) | v260(constB98) | (~v256(constB98)))),
% 84.05/53.63 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35345,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB98) | v260(constB98) | (~v256(constB98))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 84.05/53.64 tff(35346,plain,
% 84.05/53.64 (v259(constB98) | (~v256(constB98))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35345, 5150, 35342])).
% 84.05/53.64 tff(35347,plain,
% 84.05/53.64 (~v256(constB98)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35346, 35330])).
% 84.05/53.64 tff(35348,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35349,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35350,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB98, constB99)) | v256(constB98) | (~v258(constB99))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35349, 35348])).
% 84.05/53.64 tff(35351,plain,
% 84.05/53.64 (v256(constB98) | (~v258(constB99))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35350, 5165, 14218])).
% 84.05/53.64 tff(35352,plain,
% 84.05/53.64 (~v258(constB99)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35351, 35347])).
% 84.05/53.64 tff(35353,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB99) | (~v271(constB99)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB99) | (~v271(constB99)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35354,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB99) | (~v271(constB99)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35355,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB99) | (~v271(constB99))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35354, 35353])).
% 84.05/53.64 tff(35356,plain,
% 84.05/53.64 (~v271(constB99)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35355, 23584, 35352])).
% 84.05/53.64 tff(35357,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB99)) | (~v270(constB99)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB99)) | (~v270(constB99)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35358,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB99)) | (~v270(constB99)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35359,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB99)) | (~v270(constB99))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 84.05/53.64 tff(35360,plain,
% 84.05/53.64 (~v270(constB99)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35359, 3694, 34738])).
% 84.05/53.64 tff(35361,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB99) | v271(constB99) | (~v267(constB99)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB99) | v271(constB99) | (~v267(constB99)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35362,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB99) | v271(constB99) | (~v267(constB99)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35363,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB99) | v271(constB99) | (~v267(constB99))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35362, 35361])).
% 84.05/53.64 tff(35364,plain,
% 84.05/53.64 (v271(constB99) | (~v267(constB99))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35363, 3857, 35360])).
% 84.05/53.64 tff(35365,plain,
% 84.05/53.64 (~v267(constB99)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35364, 35356])).
% 84.05/53.64 tff(35366,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35367,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35368,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB99, constB100)) | v267(constB99) | (~v269(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35367, 35366])).
% 84.05/53.64 tff(35369,plain,
% 84.05/53.64 (v267(constB99) | (~v269(constB100))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35368, 3872, 14324])).
% 84.05/53.64 tff(35370,plain,
% 84.05/53.64 (~v269(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35369, 35365])).
% 84.05/53.64 tff(35371,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB100) | (~v270(constB100)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB100) | (~v270(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35372,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB100) | (~v270(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35373,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB100) | (~v270(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35372, 35371])).
% 84.05/53.64 tff(35374,plain,
% 84.05/53.64 (~v270(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35373, 3887, 35370])).
% 84.05/53.64 tff(35375,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB100) | (~v262(constB100)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB100) | (~v262(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35376,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB100) | (~v262(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35377,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB100) | (~v262(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35376, 35375])).
% 84.05/53.64 tff(35378,plain,
% 84.05/53.64 (~v262(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35377, 3915, 34760])).
% 84.05/53.64 tff(35379,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB100) | (~v261(constB100)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB100) | (~v261(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35380,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB100) | (~v261(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35381,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB100) | (~v261(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35380, 35379])).
% 84.05/53.64 tff(35382,plain,
% 84.05/53.64 (~v261(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35381, 3829, 35378])).
% 84.05/53.64 tff(35383,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB100) | (~v271(constB100)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB100) | (~v271(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35384,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB100) | (~v271(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35385,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB100) | (~v271(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35384, 35383])).
% 84.05/53.64 tff(35386,plain,
% 84.05/53.64 (~v271(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35385, 3843, 35382])).
% 84.05/53.64 tff(35387,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB100) | v271(constB100) | (~v267(constB100)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB100) | v271(constB100) | (~v267(constB100)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35388,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB100) | v271(constB100) | (~v267(constB100)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35389,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB100) | v271(constB100) | (~v267(constB100))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 84.05/53.64 tff(35390,plain,
% 84.05/53.64 (v270(constB100) | (~v267(constB100))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35389, 3857, 35386])).
% 84.05/53.64 tff(35391,plain,
% 84.05/53.64 (~v267(constB100)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35390, 35374])).
% 84.05/53.64 tff(35392,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35393,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35394,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB100, constB101)) | v267(constB100) | (~v269(constB101))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 84.05/53.64 tff(35395,plain,
% 84.05/53.64 (v267(constB100) | (~v269(constB101))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35394, 3872, 14482])).
% 84.05/53.64 tff(35396,plain,
% 84.05/53.64 (~v269(constB101)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35395, 35391])).
% 84.05/53.64 tff(35397,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB101) | (~v307(constB101)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB101) | (~v307(constB101)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35398,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | (v269(constB101) | (~v307(constB101)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35399,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v307(VarCurr)))) | v269(constB101) | (~v307(constB101))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35398, 35397])).
% 84.05/53.64 tff(35400,plain,
% 84.05/53.64 (~v307(constB101)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35399, 3947, 35396])).
% 84.05/53.64 tff(35401,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v289(constB101) | v307(constB101) | (~v290(constB101)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB101) | v307(constB101) | (~v290(constB101)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35402,plain,
% 84.05/53.64 ((v307(constB101) | v289(constB101) | (~v290(constB101))) <=> (v289(constB101) | v307(constB101) | (~v290(constB101)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35403,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB101) | v289(constB101) | (~v290(constB101)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v289(constB101) | v307(constB101) | (~v290(constB101))))),
% 84.05/53.64 inference(monotonicity,[status(thm)],[35402])).
% 84.05/53.64 tff(35404,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB101) | v289(constB101) | (~v290(constB101)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB101) | v307(constB101) | (~v290(constB101)))),
% 84.05/53.64 inference(transitivity,[status(thm)],[35403, 35401])).
% 84.05/53.64 tff(35405,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB101) | v289(constB101) | (~v290(constB101)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35406,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v289(constB101) | v307(constB101) | (~v290(constB101))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35405, 35404])).
% 84.05/53.64 tff(35407,plain,
% 84.05/53.64 (v289(constB101) | (~v290(constB101))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35406, 5092, 35400])).
% 84.05/53.64 tff(35408,plain,
% 84.05/53.64 (v289(constB101)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35407, 35049])).
% 84.05/53.64 tff(35409,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35410,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB89, 2)) | v90(constB89, 2))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35411,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB89, 2)) | v90(constB89, 2)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35410, 35409])).
% 84.05/53.64 tff(35412,plain,
% 84.05/53.64 (~v88(constB89, 2)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35411, 3360, 12244])).
% 84.05/53.64 tff(35413,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35414,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB89, 0)) | v90(constB89, 0))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35415,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB89, 0)) | v90(constB89, 0)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 84.05/53.64 tff(35416,plain,
% 84.05/53.64 (~v88(constB89, 0)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35415, 3705, 12309])).
% 84.05/53.64 tff(35417,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35418,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB89, 1)) | v88(constB89, 1))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35419,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB89, 1)) | v88(constB89, 1)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35418, 35417])).
% 84.05/53.64 tff(35420,plain,
% 84.05/53.64 (v88(constB89, 1)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35419, 3727, 12275])).
% 84.05/53.64 tff(35421,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35422,plain,
% 84.05/53.64 ((v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89)) <=> ((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35423,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89)))),
% 84.05/53.64 inference(monotonicity,[status(thm)],[35422])).
% 84.05/53.64 tff(35424,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89))),
% 84.05/53.64 inference(transitivity,[status(thm)],[35423, 35421])).
% 84.05/53.64 tff(35425,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB89, 2) | (~v88(constB89, 1)) | v88(constB89, 0) | v143(constB89))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35426,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB89, 1)) | v88(constB89, 2) | v88(constB89, 0) | v143(constB89)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35425, 35424])).
% 84.05/53.64 tff(35427,plain,
% 84.05/53.64 (v143(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35426, 15886, 35420, 35416, 35412])).
% 84.05/53.64 tff(35428,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35429,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB89)) | v142(constB89))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35430,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB89)) | v142(constB89)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35429, 35428])).
% 84.05/53.64 tff(35431,plain,
% 84.05/53.64 (v142(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35430, 15900, 35427])).
% 84.05/53.64 tff(35432,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB89)) | v227(constB89))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB89)) | v227(constB89))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35433,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | ((~v142(constB89)) | v227(constB89))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35434,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v227(VarCurr))) | (~v142(constB89)) | v227(constB89)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35433, 35432])).
% 84.05/53.64 tff(35435,plain,
% 84.05/53.64 (v227(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35434, 3766, 35431])).
% 84.05/53.64 tff(35436,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB89) | (~v227(constB89)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB89) | (~v227(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35437,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB89) | (~v227(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35438,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB89) | (~v227(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35437, 35436])).
% 84.05/53.64 tff(35439,plain,
% 84.05/53.64 (v226(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35438, 3517, 35435])).
% 84.05/53.64 tff(35440,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB89)) | (~v88(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB89)) | (~v88(constB89, 1)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35441,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB89)) | (~v88(constB89, 1)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35442,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB89)) | (~v88(constB89, 1))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35441, 35440])).
% 84.05/53.64 tff(35443,plain,
% 84.05/53.64 (~v139(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35442, 3958, 35420])).
% 84.05/53.64 tff(35444,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB89)) | (~v88(constB89, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB89)) | (~v88(constB89, 1)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35445,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB89)) | (~v88(constB89, 1)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35446,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB89)) | (~v88(constB89, 1))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35445, 35444])).
% 84.05/53.64 tff(35447,plain,
% 84.05/53.64 (~v140(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35446, 3969, 35420])).
% 84.05/53.64 tff(35448,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v168(constB89)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB89) | v140(constB89) | (~v168(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35449,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB89) | v140(constB89) | (~v168(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35450,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB89) | v140(constB89) | (~v168(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35449, 35448])).
% 84.05/53.64 tff(35451,plain,
% 84.05/53.64 (~v168(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35450, 3983, 35447, 35443])).
% 84.05/53.64 tff(35452,plain,
% 84.05/53.64 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB89)) | v168(constB89) | (~v226(constB89)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB89)) | v168(constB89) | (~v226(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35453,plain,
% 84.05/53.64 (((~v226(constB89)) | v168(constB89) | (~v161(constB89))) <=> ((~v161(constB89)) | v168(constB89) | (~v226(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35454,plain,
% 84.05/53.64 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB89)) | v168(constB89) | (~v161(constB89)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB89)) | v168(constB89) | (~v226(constB89))))),
% 84.05/53.64 inference(monotonicity,[status(thm)],[35453])).
% 84.05/53.64 tff(35455,plain,
% 84.05/53.64 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB89)) | v168(constB89) | (~v161(constB89)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB89)) | v168(constB89) | (~v226(constB89)))),
% 84.05/53.64 inference(transitivity,[status(thm)],[35454, 35452])).
% 84.05/53.64 tff(35456,plain,
% 84.05/53.64 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB89)) | v168(constB89) | (~v161(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35457,plain,
% 84.05/53.64 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB89)) | v168(constB89) | (~v226(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35456, 35455])).
% 84.05/53.64 tff(35458,plain,
% 84.05/53.64 ((~v161(constB89)) | (~v226(constB89))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35457, 3997, 35451])).
% 84.05/53.64 tff(35459,plain,
% 84.05/53.64 (~v161(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35458, 35439])).
% 84.05/53.64 tff(35460,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB89) | (~v187(constB89)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB89) | (~v187(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35461,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB89) | (~v187(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35462,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB89) | (~v187(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 84.05/53.64 tff(35463,plain,
% 84.05/53.64 (~v187(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35462, 4015, 35459])).
% 84.05/53.64 tff(35464,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB89) | (~v185(constB89)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB89) | (~v185(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35465,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB89) | (~v185(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35466,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB89) | (~v185(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35465, 35464])).
% 84.05/53.64 tff(35467,plain,
% 84.05/53.64 (~v185(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35466, 4029, 35463])).
% 84.05/53.64 tff(35468,assumption,(v18(constB90)), introduced(assumption)).
% 84.05/53.64 tff(35469,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB90))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35470,plain,
% 84.05/53.64 ($false),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35469, 3600, 35468])).
% 84.05/53.64 tff(35471,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.64 tff(35472,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35473,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35474,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35473, 35472])).
% 84.05/53.64 tff(35475,plain,
% 84.05/53.64 (v22(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35474, 3613, 12384])).
% 84.05/53.64 tff(35476,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35477,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35478,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35477, 35476])).
% 84.05/53.64 tff(35479,plain,
% 84.05/53.64 (v18(constB90) | (~v19(constB90))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35478, 3627, 35475])).
% 84.05/53.64 tff(35480,plain,
% 84.05/53.64 (~v19(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35479, 35471])).
% 84.05/53.64 tff(35481,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35482,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35483,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35482, 35481])).
% 84.05/53.64 tff(35484,plain,
% 84.05/53.64 (v13(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35483, 3639, 35480])).
% 84.05/53.64 tff(35485,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35486,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35487,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35486, 35485])).
% 84.05/53.64 tff(35488,plain,
% 84.05/53.64 (v9(constB89) | (~v13(constB90))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35487, 3653, 12364])).
% 84.05/53.64 tff(35489,plain,
% 84.05/53.64 (v9(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35488, 35484])).
% 84.05/53.64 tff(35490,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35491,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v184(constB89))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35492,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB89) | (~v9(constB89)) | v184(constB89)),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35491, 35490])).
% 84.05/53.64 tff(35493,plain,
% 84.05/53.64 ((~v9(constB89)) | v184(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35492, 3668, 12220])).
% 84.05/53.64 tff(35494,plain,
% 84.05/53.64 (v184(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35493, 35489])).
% 84.05/53.64 tff(35495,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB89) | (~v184(constB89)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB89) | (~v184(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35496,plain,
% 84.05/53.64 (((~v184(constB89)) | v183(constB89)) <=> (v183(constB89) | (~v184(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35497,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB89)) | v183(constB89))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB89) | (~v184(constB89))))),
% 84.05/53.64 inference(monotonicity,[status(thm)],[35496])).
% 84.05/53.64 tff(35498,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB89)) | v183(constB89))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB89) | (~v184(constB89)))),
% 84.05/53.64 inference(transitivity,[status(thm)],[35497, 35495])).
% 84.05/53.64 tff(35499,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB89)) | v183(constB89))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35500,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB89) | (~v184(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 84.05/53.64 tff(35501,plain,
% 84.05/53.64 (v183(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35500, 3680, 35494])).
% 84.05/53.64 tff(35502,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB89)) | (~v183(constB89)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB89)) | (~v183(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35503,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB89)) | (~v183(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35504,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB89)) | (~v183(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35503, 35502])).
% 84.05/53.64 tff(35505,plain,
% 84.05/53.64 (~v181(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35504, 4247, 35501])).
% 84.05/53.64 tff(35506,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB89) | v185(constB89) | (~v178(constB89)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB89) | v185(constB89) | (~v178(constB89)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35507,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB89) | v185(constB89) | (~v178(constB89)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35508,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB89) | v185(constB89) | (~v178(constB89))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35507, 35506])).
% 84.05/53.64 tff(35509,plain,
% 84.05/53.64 (v185(constB89) | (~v178(constB89))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35508, 4261, 35505])).
% 84.05/53.64 tff(35510,plain,
% 84.05/53.64 (~v178(constB89)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35509, 35467])).
% 84.05/53.64 tff(35511,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35512,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35513,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB89, constB90)) | v178(constB89) | (~v180(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35512, 35511])).
% 84.05/53.64 tff(35514,plain,
% 84.05/53.64 (v178(constB89) | (~v180(constB90))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35513, 4276, 12364])).
% 84.05/53.64 tff(35515,plain,
% 84.05/53.64 (~v180(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35514, 35510])).
% 84.05/53.64 tff(35516,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB90) | (~v181(constB90)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB90) | (~v181(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35517,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB90) | (~v181(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35518,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB90) | (~v181(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35517, 35516])).
% 84.05/53.64 tff(35519,plain,
% 84.05/53.64 (~v181(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35518, 4291, 35515])).
% 84.05/53.64 tff(35520,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35521,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB90)) | (~v184(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35522,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB90)) | (~v184(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35521, 35520])).
% 84.05/53.64 tff(35523,plain,
% 84.05/53.64 (~v184(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35522, 3901, 12384])).
% 84.05/53.64 tff(35524,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB90) | (~v187(constB90)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB90) | (~v187(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35525,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB90) | (~v187(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35526,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB90) | (~v187(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35525, 35524])).
% 84.05/53.64 tff(35527,plain,
% 84.05/53.64 (~v187(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35526, 4309, 35523])).
% 84.05/53.64 tff(35528,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB90) | (~v185(constB90)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB90) | (~v185(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35529,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB90) | (~v185(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35530,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB90) | (~v185(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35529, 35528])).
% 84.05/53.64 tff(35531,plain,
% 84.05/53.64 (~v185(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35530, 4029, 35527])).
% 84.05/53.64 tff(35532,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB90) | v185(constB90) | (~v178(constB90)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB90) | v185(constB90) | (~v178(constB90)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35533,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB90) | v185(constB90) | (~v178(constB90)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35534,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB90) | v185(constB90) | (~v178(constB90))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35533, 35532])).
% 84.05/53.64 tff(35535,plain,
% 84.05/53.64 (v181(constB90) | (~v178(constB90))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35534, 4261, 35531])).
% 84.05/53.64 tff(35536,plain,
% 84.05/53.64 (~v178(constB90)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35535, 35519])).
% 84.05/53.64 tff(35537,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35538,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35539,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB90, constB91)) | v178(constB90) | (~v180(constB91))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35538, 35537])).
% 84.05/53.64 tff(35540,plain,
% 84.05/53.64 (v178(constB90) | (~v180(constB91))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35539, 4276, 12426])).
% 84.05/53.64 tff(35541,plain,
% 84.05/53.64 (~v180(constB91)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35540, 35536])).
% 84.05/53.64 tff(35542,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB91) | (~v215(constB91)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB91) | (~v215(constB91)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35543,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB91) | (~v215(constB91)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35544,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB91) | (~v215(constB91))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35543, 35542])).
% 84.05/53.64 tff(35545,plain,
% 84.05/53.64 (~v215(constB91)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35544, 4427, 35541])).
% 84.05/53.64 tff(35546,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB91)) | (~v214(constB91)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB91)) | (~v214(constB91)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35547,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB91)) | (~v214(constB91)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35548,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB91)) | (~v214(constB91))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35547, 35546])).
% 84.05/53.64 tff(35549,plain,
% 84.05/53.64 (~v214(constB91)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35548, 4593, 35142])).
% 84.05/53.64 tff(35550,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB91) | v215(constB91) | (~v211(constB91)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB91) | v215(constB91) | (~v211(constB91)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35551,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB91) | v215(constB91) | (~v211(constB91)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35552,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB91) | v215(constB91) | (~v211(constB91))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35551, 35550])).
% 84.05/53.64 tff(35553,plain,
% 84.05/53.64 (v215(constB91) | (~v211(constB91))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35552, 4607, 35549])).
% 84.05/53.64 tff(35554,plain,
% 84.05/53.64 (~v211(constB91)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35553, 35545])).
% 84.05/53.64 tff(35555,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35556,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35557,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB91, constB92)) | v211(constB91) | (~v213(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35556, 35555])).
% 84.05/53.64 tff(35558,plain,
% 84.05/53.64 (v211(constB91) | (~v213(constB92))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35557, 4622, 12560])).
% 84.05/53.64 tff(35559,plain,
% 84.05/53.64 (~v213(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35558, 35554])).
% 84.05/53.64 tff(35560,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB92) | (~v214(constB92)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB92) | (~v214(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35561,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB92) | (~v214(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35562,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB92) | (~v214(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35561, 35560])).
% 84.05/53.64 tff(35563,plain,
% 84.05/53.64 (~v214(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35562, 4637, 35559])).
% 84.05/53.64 tff(35564,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB92) | (~v217(constB92)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB92) | (~v217(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35565,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB92) | (~v217(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35566,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB92) | (~v217(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35565, 35564])).
% 84.05/53.64 tff(35567,plain,
% 84.05/53.64 (~v217(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35566, 4651, 35164])).
% 84.05/53.64 tff(35568,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB92) | (~v216(constB92)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB92) | (~v216(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35569,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB92) | (~v216(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35570,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB92) | (~v216(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35569, 35568])).
% 84.05/53.64 tff(35571,plain,
% 84.05/53.64 (~v216(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35570, 4565, 35567])).
% 84.05/53.64 tff(35572,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB92) | (~v215(constB92)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB92) | (~v215(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35573,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB92) | (~v215(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35574,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB92) | (~v215(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35573, 35572])).
% 84.05/53.64 tff(35575,plain,
% 84.05/53.64 (~v215(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35574, 4579, 35571])).
% 84.05/53.64 tff(35576,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB92) | v215(constB92) | (~v211(constB92)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB92) | v215(constB92) | (~v211(constB92)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35577,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB92) | v215(constB92) | (~v211(constB92)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35578,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB92) | v215(constB92) | (~v211(constB92))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35577, 35576])).
% 84.05/53.64 tff(35579,plain,
% 84.05/53.64 (v214(constB92) | (~v211(constB92))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35578, 4607, 35575])).
% 84.05/53.64 tff(35580,plain,
% 84.05/53.64 (~v211(constB92)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35579, 35563])).
% 84.05/53.64 tff(35581,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35582,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35583,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB92, constB93)) | v211(constB92) | (~v213(constB93))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35582, 35581])).
% 84.05/53.64 tff(35584,plain,
% 84.05/53.64 (v211(constB92) | (~v213(constB93))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35583, 4622, 12622])).
% 84.05/53.64 tff(35585,plain,
% 84.05/53.64 (~v213(constB93)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35584, 35580])).
% 84.05/53.64 tff(35586,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB93) | (~v245(constB93)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB93) | (~v245(constB93)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35587,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB93) | (~v245(constB93)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35588,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB93) | (~v245(constB93))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35587, 35586])).
% 84.05/53.64 tff(35589,plain,
% 84.05/53.64 (~v245(constB93)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35588, 4796, 35585])).
% 84.05/53.64 tff(35590,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB93)) | (~v244(constB93)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB93)) | (~v244(constB93)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35591,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB93)) | (~v244(constB93)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35592,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB93)) | (~v244(constB93))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35591, 35590])).
% 84.05/53.64 tff(35593,plain,
% 84.05/53.64 (~v244(constB93)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35592, 4891, 35220])).
% 84.05/53.64 tff(35594,plain,
% 84.05/53.64 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB93) | v245(constB93) | (~v241(constB93)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB93) | v245(constB93) | (~v241(constB93)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35595,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB93) | v245(constB93) | (~v241(constB93)))),
% 84.05/53.64 inference(quant_inst,[status(thm)],[])).
% 84.05/53.64 tff(35596,plain,
% 84.05/53.64 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB93) | v245(constB93) | (~v241(constB93))),
% 84.05/53.64 inference(modus_ponens,[status(thm)],[35595, 35594])).
% 84.05/53.64 tff(35597,plain,
% 84.05/53.64 (v245(constB93) | (~v241(constB93))),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35596, 4905, 35593])).
% 84.05/53.64 tff(35598,plain,
% 84.05/53.64 (~v241(constB93)),
% 84.05/53.64 inference(unit_resolution,[status(thm)],[35597, 35589])).
% 84.05/53.64 tff(35599,plain,
% 84.05/53.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB93, constB94)) | v241(constB93) | (~v243(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB93, constB94)) | v241(constB93) | (~v243(constB94)))),
% 84.05/53.64 inference(rewrite,[status(thm)],[])).
% 84.05/53.64 tff(35600,plain,
% 84.05/53.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB93, constB94)) | v241(constB93) | (~v243(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35601,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB93, constB94)) | v241(constB93) | (~v243(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35600, 35599])).
% 84.05/53.65 tff(35602,plain,
% 84.05/53.65 (v241(constB93) | (~v243(constB94))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35601, 4920, 12734])).
% 84.05/53.65 tff(35603,plain,
% 84.05/53.65 (~v243(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35602, 35598])).
% 84.05/53.65 tff(35604,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB94) | (~v244(constB94)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB94) | (~v244(constB94)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35605,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB94) | (~v244(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35606,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB94) | (~v244(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35605, 35604])).
% 84.05/53.65 tff(35607,plain,
% 84.05/53.65 (~v244(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35606, 4935, 35603])).
% 84.05/53.65 tff(35608,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB94) | (~v247(constB94)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB94) | (~v247(constB94)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35609,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB94) | (~v247(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35610,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB94) | (~v247(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35609, 35608])).
% 84.05/53.65 tff(35611,plain,
% 84.05/53.65 (~v247(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35610, 4949, 35242])).
% 84.05/53.65 tff(35612,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB94) | (~v246(constB94)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB94) | (~v246(constB94)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35613,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB94) | (~v246(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35614,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB94) | (~v246(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35613, 35612])).
% 84.05/53.65 tff(35615,plain,
% 84.05/53.65 (~v246(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35614, 4863, 35611])).
% 84.05/53.65 tff(35616,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB94) | (~v245(constB94)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB94) | (~v245(constB94)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35617,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB94) | (~v245(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35618,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB94) | (~v245(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35617, 35616])).
% 84.05/53.65 tff(35619,plain,
% 84.05/53.65 (~v245(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35618, 4877, 35615])).
% 84.05/53.65 tff(35620,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB94) | v245(constB94) | (~v241(constB94)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB94) | v245(constB94) | (~v241(constB94)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35621,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB94) | v245(constB94) | (~v241(constB94)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35622,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB94) | v245(constB94) | (~v241(constB94))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35621, 35620])).
% 84.05/53.65 tff(35623,plain,
% 84.05/53.65 (v244(constB94) | (~v241(constB94))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35622, 4905, 35619])).
% 84.05/53.65 tff(35624,plain,
% 84.05/53.65 (~v241(constB94)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35623, 35607])).
% 84.05/53.65 tff(35625,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB94, constB95)) | v241(constB94) | (~v243(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB94, constB95)) | v241(constB94) | (~v243(constB95)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35626,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB94, constB95)) | v241(constB94) | (~v243(constB95)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35627,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB94, constB95)) | v241(constB94) | (~v243(constB95))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35626, 35625])).
% 84.05/53.65 tff(35628,plain,
% 84.05/53.65 (v241(constB94) | (~v243(constB95))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35627, 4920, 13321])).
% 84.05/53.65 tff(35629,plain,
% 84.05/53.65 (~v243(constB95)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35628, 35624])).
% 84.05/53.65 tff(35630,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB95) | (~v260(constB95)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB95) | (~v260(constB95)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35631,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB95) | (~v260(constB95)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35632,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB95) | (~v260(constB95))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35631, 35630])).
% 84.05/53.65 tff(35633,plain,
% 84.05/53.65 (~v260(constB95)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35632, 5136, 35629])).
% 84.05/53.65 tff(35634,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB95)) | (~v259(constB95)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB95)) | (~v259(constB95)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35635,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB95)) | (~v259(constB95)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35636,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB95)) | (~v259(constB95))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35635, 35634])).
% 84.05/53.65 tff(35637,plain,
% 84.05/53.65 (~v259(constB95)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35636, 5122, 34909])).
% 84.05/53.65 tff(35638,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB95) | v260(constB95) | (~v256(constB95)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB95) | v260(constB95) | (~v256(constB95)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35639,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB95) | v260(constB95) | (~v256(constB95)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35640,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB95) | v260(constB95) | (~v256(constB95))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35639, 35638])).
% 84.05/53.65 tff(35641,plain,
% 84.05/53.65 (v260(constB95) | (~v256(constB95))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35640, 5150, 35637])).
% 84.05/53.65 tff(35642,plain,
% 84.05/53.65 (~v256(constB95)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35641, 35633])).
% 84.05/53.65 tff(35643,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB95, constB96)) | v256(constB95) | (~v258(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB95, constB96)) | v256(constB95) | (~v258(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35644,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB95, constB96)) | v256(constB95) | (~v258(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35645,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB95, constB96)) | v256(constB95) | (~v258(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35644, 35643])).
% 84.05/53.65 tff(35646,plain,
% 84.05/53.65 (v256(constB95) | (~v258(constB96))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35645, 5165, 13436])).
% 84.05/53.65 tff(35647,plain,
% 84.05/53.65 (~v258(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35646, 35642])).
% 84.05/53.65 tff(35648,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB96) | (~v259(constB96)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB96) | (~v259(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35649,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB96) | (~v259(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35650,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB96) | (~v259(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35649, 35648])).
% 84.05/53.65 tff(35651,plain,
% 84.05/53.65 (~v259(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35650, 5180, 35647])).
% 84.05/53.65 tff(35652,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB96) | (~v262(constB96)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB96) | (~v262(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35653,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB96) | (~v262(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35654,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB96) | (~v262(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35653, 35652])).
% 84.05/53.65 tff(35655,plain,
% 84.05/53.65 (~v262(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35654, 3915, 34931])).
% 84.05/53.65 tff(35656,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB96) | (~v261(constB96)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB96) | (~v261(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35657,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB96) | (~v261(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35658,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB96) | (~v261(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35657, 35656])).
% 84.05/53.65 tff(35659,plain,
% 84.05/53.65 (~v261(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35658, 3829, 35655])).
% 84.05/53.65 tff(35660,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB96) | (~v260(constB96)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB96) | (~v260(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35661,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB96) | (~v260(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35662,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB96) | (~v260(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35661, 35660])).
% 84.05/53.65 tff(35663,plain,
% 84.05/53.65 (~v260(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35662, 5194, 35659])).
% 84.05/53.65 tff(35664,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB96) | v260(constB96) | (~v256(constB96)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB96) | v260(constB96) | (~v256(constB96)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35665,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB96) | v260(constB96) | (~v256(constB96)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35666,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB96) | v260(constB96) | (~v256(constB96))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35665, 35664])).
% 84.05/53.65 tff(35667,plain,
% 84.05/53.65 (v259(constB96) | (~v256(constB96))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35666, 5150, 35663])).
% 84.05/53.65 tff(35668,plain,
% 84.05/53.65 (~v256(constB96)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35667, 35651])).
% 84.05/53.65 tff(35669,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB96, constB97)) | v256(constB96) | (~v258(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB96, constB97)) | v256(constB96) | (~v258(constB97)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35670,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB96, constB97)) | v256(constB96) | (~v258(constB97)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35671,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB96, constB97)) | v256(constB96) | (~v258(constB97))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35670, 35669])).
% 84.05/53.65 tff(35672,plain,
% 84.05/53.65 (v256(constB96) | (~v258(constB97))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35671, 5165, 13498])).
% 84.05/53.65 tff(35673,plain,
% 84.05/53.65 (~v258(constB97)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35672, 35668])).
% 84.05/53.65 tff(35674,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB97) | (~v271(constB97)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB97) | (~v271(constB97)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35675,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB97) | (~v271(constB97)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35676,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB97) | (~v271(constB97))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35675, 35674])).
% 84.05/53.65 tff(35677,plain,
% 84.05/53.65 (~v271(constB97)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35676, 23584, 35673])).
% 84.05/53.65 tff(35678,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB97)) | (~v270(constB97)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB97)) | (~v270(constB97)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35679,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB97)) | (~v270(constB97)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35680,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB97)) | (~v270(constB97))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35679, 35678])).
% 84.05/53.65 tff(35681,plain,
% 84.05/53.65 (~v270(constB97)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35680, 3694, 34660])).
% 84.05/53.65 tff(35682,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB97) | v271(constB97) | (~v267(constB97)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB97) | v271(constB97) | (~v267(constB97)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35683,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB97) | v271(constB97) | (~v267(constB97)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35684,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB97) | v271(constB97) | (~v267(constB97))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35683, 35682])).
% 84.05/53.65 tff(35685,plain,
% 84.05/53.65 (v271(constB97) | (~v267(constB97))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35684, 3857, 35681])).
% 84.05/53.65 tff(35686,plain,
% 84.05/53.65 (~v267(constB97)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35685, 35677])).
% 84.05/53.65 tff(35687,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB97, constB98)) | v267(constB97) | (~v269(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB97, constB98)) | v267(constB97) | (~v269(constB98)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35688,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB97, constB98)) | v267(constB97) | (~v269(constB98)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35689,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB97, constB98)) | v267(constB97) | (~v269(constB98))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35688, 35687])).
% 84.05/53.65 tff(35690,plain,
% 84.05/53.65 (v267(constB97) | (~v269(constB98))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35689, 3872, 13593])).
% 84.05/53.65 tff(35691,plain,
% 84.05/53.65 (~v269(constB98)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35690, 35686])).
% 84.05/53.65 tff(35692,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB98) | (~v270(constB98)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB98) | (~v270(constB98)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35693,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB98) | (~v270(constB98)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35694,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB98) | (~v270(constB98))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35693, 35692])).
% 84.05/53.65 tff(35695,plain,
% 84.05/53.65 (~v270(constB98)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35694, 3887, 35691])).
% 84.05/53.65 tff(35696,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB98) | (~v271(constB98)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB98) | (~v271(constB98)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35697,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB98) | (~v271(constB98)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35698,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB98) | (~v271(constB98))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35697, 35696])).
% 84.05/53.65 tff(35699,plain,
% 84.05/53.65 (~v271(constB98)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35698, 3843, 35338])).
% 84.05/53.65 tff(35700,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB98) | v271(constB98) | (~v267(constB98)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB98) | v271(constB98) | (~v267(constB98)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35701,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB98) | v271(constB98) | (~v267(constB98)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35702,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB98) | v271(constB98) | (~v267(constB98))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35701, 35700])).
% 84.05/53.65 tff(35703,plain,
% 84.05/53.65 (v270(constB98) | (~v267(constB98))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35702, 3857, 35699])).
% 84.05/53.65 tff(35704,plain,
% 84.05/53.65 (~v267(constB98)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35703, 35695])).
% 84.05/53.65 tff(35705,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB98, constB99)) | v267(constB98) | (~v269(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB98, constB99)) | v267(constB98) | (~v269(constB99)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35706,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB98, constB99)) | v267(constB98) | (~v269(constB99)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35707,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB98, constB99)) | v267(constB98) | (~v269(constB99))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35706, 35705])).
% 84.05/53.65 tff(35708,plain,
% 84.05/53.65 (v267(constB98) | (~v269(constB99))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35707, 3872, 14218])).
% 84.05/53.65 tff(35709,plain,
% 84.05/53.65 (~v269(constB99)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35708, 35704])).
% 84.05/53.65 tff(35710,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB99) | (~v282(constB99)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB99) | (~v282(constB99)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35711,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | (v269(constB99) | (~v282(constB99)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35712,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v282(VarCurr)))) | v269(constB99) | (~v282(constB99))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35711, 35710])).
% 84.05/53.65 tff(35713,plain,
% 84.05/53.65 (~v282(constB99)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35712, 23952, 35709])).
% 84.05/53.65 tff(35714,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB99)) | (~v281(constB99)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB99)) | (~v281(constB99)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35715,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | ((~v183(constB99)) | (~v281(constB99)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35716,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v281(VarCurr)))) | (~v183(constB99)) | (~v281(constB99))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35715, 35714])).
% 84.05/53.65 tff(35717,plain,
% 84.05/53.65 (~v281(constB99)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35716, 23966, 34738])).
% 84.05/53.65 tff(35718,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB99) | v282(constB99) | (~v278(constB99)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB99) | v282(constB99) | (~v278(constB99)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35719,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB99) | v282(constB99) | (~v278(constB99)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35720,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB99) | v282(constB99) | (~v278(constB99))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35719, 35718])).
% 84.05/53.65 tff(35721,plain,
% 84.05/53.65 (v282(constB99) | (~v278(constB99))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35720, 23980, 35717])).
% 84.05/53.65 tff(35722,plain,
% 84.05/53.65 (~v278(constB99)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35721, 35713])).
% 84.05/53.65 tff(35723,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB99, constB100)) | v278(constB99) | (~v280(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB99, constB100)) | v278(constB99) | (~v280(constB100)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35724,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB99, constB100)) | v278(constB99) | (~v280(constB100)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35725,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB99, constB100)) | v278(constB99) | (~v280(constB100))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35724, 35723])).
% 84.05/53.65 tff(35726,plain,
% 84.05/53.65 (v278(constB99) | (~v280(constB100))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35725, 23995, 14324])).
% 84.05/53.65 tff(35727,plain,
% 84.05/53.65 (~v280(constB100)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35726, 35722])).
% 84.05/53.65 tff(35728,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB100) | (~v281(constB100)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB100) | (~v281(constB100)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35729,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | (v280(constB100) | (~v281(constB100)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35730,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v281(VarCurr)))) | v280(constB100) | (~v281(constB100))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35729, 35728])).
% 84.05/53.65 tff(35731,plain,
% 84.05/53.65 (~v281(constB100)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35730, 24010, 35727])).
% 84.05/53.65 tff(35732,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB100) | (~v282(constB100)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB100) | (~v282(constB100)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35733,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | (v216(constB100) | (~v282(constB100)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35734,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v282(VarCurr)))) | v216(constB100) | (~v282(constB100))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 84.05/53.65 tff(35735,plain,
% 84.05/53.65 (~v282(constB100)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35734, 24024, 34768])).
% 84.05/53.65 tff(35736,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB100) | v282(constB100) | (~v278(constB100)))) <=> ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB100) | v282(constB100) | (~v278(constB100)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35737,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | (v281(constB100) | v282(constB100) | (~v278(constB100)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35738,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v281(VarCurr) | v282(VarCurr) | (~v278(VarCurr)))) | v281(constB100) | v282(constB100) | (~v278(constB100))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35737, 35736])).
% 84.05/53.65 tff(35739,plain,
% 84.05/53.65 (v281(constB100) | (~v278(constB100))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35738, 23980, 35735])).
% 84.05/53.65 tff(35740,plain,
% 84.05/53.65 (~v278(constB100)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35739, 35731])).
% 84.05/53.65 tff(35741,plain,
% 84.05/53.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB100, constB101)) | v278(constB100) | (~v280(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB100, constB101)) | v278(constB100) | (~v280(constB101)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35742,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | ((~nextState(constB100, constB101)) | v278(constB100) | (~v280(constB101)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35743,plain,
% 84.05/53.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v278(VarCurr) | (~v280(VarNext)))) | (~nextState(constB100, constB101)) | v278(constB100) | (~v280(constB101))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35742, 35741])).
% 84.05/53.65 tff(35744,plain,
% 84.05/53.65 (v278(constB100) | (~v280(constB101))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35743, 23995, 14482])).
% 84.05/53.65 tff(35745,plain,
% 84.05/53.65 (~v280(constB101)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35744, 35740])).
% 84.05/53.65 tff(35746,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB101) | (~v309(constB101)))) <=> ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB101) | (~v309(constB101)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35747,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | (v280(constB101) | (~v309(constB101)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35748,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v280(VarCurr) | (~v309(VarCurr)))) | v280(constB101) | (~v309(constB101))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35747, 35746])).
% 84.05/53.65 tff(35749,plain,
% 84.05/53.65 (~v309(constB101)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35748, 24048, 35745])).
% 84.05/53.65 tff(35750,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB101) | v288(constB101) | (~v289(constB101)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB101) | v288(constB101) | (~v289(constB101)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35751,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB101) | v288(constB101) | (~v289(constB101)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35752,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB101) | v288(constB101) | (~v289(constB101))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35751, 35750])).
% 84.05/53.65 tff(35753,plain,
% 84.05/53.65 (v288(constB101) | (~v289(constB101))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35752, 5107, 35749])).
% 84.05/53.65 tff(35754,plain,
% 84.05/53.65 (v288(constB101)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35753, 35408])).
% 84.05/53.65 tff(35755,plain,
% 84.05/53.65 ($false),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35754, 34564])).
% 84.05/53.65 tff(35756,plain,((~(constB101 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.65 tff(35757,plain,
% 84.05/53.65 (~(constB101 = sK_VarCurr)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35756, 5240])).
% 84.05/53.65 tff(35758,assumption,(constB12 = sK_VarCurr), introduced(assumption)).
% 84.05/53.65 tff(35759,plain,
% 84.05/53.65 (v288(constB12) <=> v288(sK_VarCurr)),
% 84.05/53.65 inference(monotonicity,[status(thm)],[35758])).
% 84.05/53.65 tff(35760,plain,
% 84.05/53.65 (v288(sK_VarCurr) <=> v288(constB12)),
% 84.05/53.65 inference(symmetry,[status(thm)],[35759])).
% 84.05/53.65 tff(35761,plain,
% 84.05/53.65 ((~v288(sK_VarCurr)) <=> (~v288(constB12))),
% 84.05/53.65 inference(monotonicity,[status(thm)],[35760])).
% 84.05/53.65 tff(35762,plain,
% 84.05/53.65 (~v288(constB12)),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[5240, 35761])).
% 84.05/53.65 tff(35763,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35764,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB12)) | (~v184(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35765,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB12)) | (~v184(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35764, 35763])).
% 84.05/53.65 tff(35766,plain,
% 84.05/53.65 (~v184(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35765, 3901, 1802])).
% 84.05/53.65 tff(35767,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB12) | (~v295(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB12) | (~v295(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35768,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB12) | (~v295(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35769,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB12) | (~v295(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35768, 35767])).
% 84.05/53.65 tff(35770,plain,
% 84.05/53.65 (~v295(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35769, 22562, 35766])).
% 84.05/53.65 tff(35771,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB12) | (~v294(constB12)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB12) | (~v294(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35772,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB12) | (~v294(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35773,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB12) | (~v294(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35772, 35771])).
% 84.05/53.65 tff(35774,plain,
% 84.05/53.65 (~v294(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35773, 15964, 35770])).
% 84.05/53.65 tff(35775,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB12) | (~v293(constB12)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB12) | (~v293(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35776,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB12) | (~v293(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35777,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB12) | (~v293(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35776, 35775])).
% 84.05/53.65 tff(35778,plain,
% 84.05/53.65 (~v293(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35777, 15978, 35774])).
% 84.05/53.65 tff(35779,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB12) | (~v299(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB12) | (~v299(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35780,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB12) | (~v299(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35781,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB12) | (~v299(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35780, 35779])).
% 84.05/53.65 tff(35782,plain,
% 84.05/53.65 (~v299(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35781, 22584, 35766])).
% 84.05/53.65 tff(35783,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB12) | (~v298(constB12)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB12) | (~v298(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35784,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB12) | (~v298(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35785,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB12) | (~v298(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35784, 35783])).
% 84.05/53.65 tff(35786,plain,
% 84.05/53.65 (~v298(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35785, 19336, 35782])).
% 84.05/53.65 tff(35787,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB12) | (~v297(constB12)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB12) | (~v297(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35788,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB12) | (~v297(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35789,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB12) | (~v297(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35788, 35787])).
% 84.05/53.65 tff(35790,plain,
% 84.05/53.65 (~v297(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35789, 19350, 35786])).
% 84.05/53.65 tff(35791,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB12) | v297(constB12) | (~v292(constB12)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB12) | v297(constB12) | (~v292(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35792,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB12) | v297(constB12) | (~v292(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35793,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB12) | v297(constB12) | (~v292(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35792, 35791])).
% 84.05/53.65 tff(35794,plain,
% 84.05/53.65 (~v292(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35793, 4781, 35790, 35778])).
% 84.05/53.65 tff(35795,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB12) | (~v304(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB12) | (~v304(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35796,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB12) | (~v304(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35797,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB12) | (~v304(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 84.05/53.65 tff(35798,plain,
% 84.05/53.65 (~v304(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35797, 22610, 35766])).
% 84.05/53.65 tff(35799,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB12) | (~v303(constB12)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB12) | (~v303(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35800,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB12) | (~v303(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35801,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB12) | (~v303(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35800, 35799])).
% 84.05/53.65 tff(35802,plain,
% 84.05/53.65 (~v303(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35801, 21948, 35798])).
% 84.05/53.65 tff(35803,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB12) | (~v302(constB12)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB12) | (~v302(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35804,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB12) | (~v302(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35805,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB12) | (~v302(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 84.05/53.65 tff(35806,plain,
% 84.05/53.65 (~v302(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35805, 21962, 35802])).
% 84.05/53.65 tff(35807,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB12) | v292(constB12) | v290(constB12))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB12) | v292(constB12) | v290(constB12))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35808,plain,
% 84.05/53.65 ((v292(constB12) | v302(constB12) | v290(constB12)) <=> (v302(constB12) | v292(constB12) | v290(constB12))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35809,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB12) | v302(constB12) | v290(constB12))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB12) | v292(constB12) | v290(constB12)))),
% 84.05/53.65 inference(monotonicity,[status(thm)],[35808])).
% 84.05/53.65 tff(35810,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB12) | v302(constB12) | v290(constB12))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB12) | v292(constB12) | v290(constB12))),
% 84.05/53.65 inference(transitivity,[status(thm)],[35809, 35807])).
% 84.05/53.65 tff(35811,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB12) | v302(constB12) | v290(constB12))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35812,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB12) | v292(constB12) | v290(constB12)),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35811, 35810])).
% 84.05/53.65 tff(35813,plain,
% 84.05/53.65 (v292(constB12) | v290(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35812, 5074, 35806])).
% 84.05/53.65 tff(35814,plain,
% 84.05/53.65 (v290(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35813, 35794])).
% 84.05/53.65 tff(35815,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB12) | (~v307(constB12)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB12) | (~v307(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35816,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB12) | (~v307(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35817,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB12) | (~v307(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35816, 35815])).
% 84.05/53.65 tff(35818,plain,
% 84.05/53.65 (~v307(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35817, 22640, 35774])).
% 84.05/53.65 tff(35819,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB12) | v289(constB12) | (~v290(constB12)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB12) | v289(constB12) | (~v290(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35820,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB12) | v289(constB12) | (~v290(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35821,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB12) | v289(constB12) | (~v290(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35820, 35819])).
% 84.05/53.65 tff(35822,plain,
% 84.05/53.65 (v289(constB12) | (~v290(constB12))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35821, 5092, 35818])).
% 84.05/53.65 tff(35823,plain,
% 84.05/53.65 (v289(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35822, 35814])).
% 84.05/53.65 tff(35824,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB12) | (~v311(constB12)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB12) | (~v311(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35825,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB12) | (~v311(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35826,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB12) | (~v311(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35825, 35824])).
% 84.05/53.65 tff(35827,plain,
% 84.05/53.65 (~v311(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35826, 22659, 35766])).
% 84.05/53.65 tff(35828,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB12) | (~v310(constB12)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB12) | (~v310(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35829,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB12) | (~v310(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35830,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB12) | (~v310(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35829, 35828])).
% 84.05/53.65 tff(35831,plain,
% 84.05/53.65 (~v310(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35830, 3574, 35827])).
% 84.05/53.65 tff(35832,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB12) | (~v309(constB12)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB12) | (~v309(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35833,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB12) | (~v309(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35834,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB12) | (~v309(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35833, 35832])).
% 84.05/53.65 tff(35835,plain,
% 84.05/53.65 (~v309(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35834, 3588, 35831])).
% 84.05/53.65 tff(35836,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB12) | v288(constB12) | (~v289(constB12)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB12) | v288(constB12) | (~v289(constB12)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35837,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB12) | v288(constB12) | (~v289(constB12)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35838,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB12) | v288(constB12) | (~v289(constB12))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35837, 35836])).
% 84.05/53.65 tff(35839,plain,
% 84.05/53.65 (v288(constB12) | (~v289(constB12))),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35838, 5107, 35835])).
% 84.05/53.65 tff(35840,plain,
% 84.05/53.65 (v288(constB12)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35839, 35823])).
% 84.05/53.65 tff(35841,plain,
% 84.05/53.65 ($false),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35840, 35762])).
% 84.05/53.65 tff(35842,plain,((~(constB12 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.65 tff(35843,plain,
% 84.05/53.65 (~(constB12 = sK_VarCurr)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35842, 5240])).
% 84.05/53.65 tff(35844,assumption,(constB188 = sK_VarCurr), introduced(assumption)).
% 84.05/53.65 tff(35845,plain,
% 84.05/53.65 (v288(constB188) <=> v288(sK_VarCurr)),
% 84.05/53.65 inference(monotonicity,[status(thm)],[35844])).
% 84.05/53.65 tff(35846,plain,
% 84.05/53.65 (v288(sK_VarCurr) <=> v288(constB188)),
% 84.05/53.65 inference(symmetry,[status(thm)],[35845])).
% 84.05/53.65 tff(35847,plain,
% 84.05/53.65 ((~v288(sK_VarCurr)) <=> (~v288(constB188))),
% 84.05/53.65 inference(monotonicity,[status(thm)],[35846])).
% 84.05/53.65 tff(35848,plain,
% 84.05/53.65 (~v288(constB188)),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[5240, 35847])).
% 84.05/53.65 tff(35849,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB188) | (~v295(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB188) | (~v295(constB188)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35850,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB188) | (~v295(constB188)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35851,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB188) | (~v295(constB188))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35850, 35849])).
% 84.05/53.65 tff(35852,plain,
% 84.05/53.65 (~v295(constB188)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35851, 22562, 32741])).
% 84.05/53.65 tff(35853,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB188) | (~v294(constB188)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB188) | (~v294(constB188)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35854,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB188) | (~v294(constB188)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35855,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB188) | (~v294(constB188))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35854, 35853])).
% 84.05/53.65 tff(35856,plain,
% 84.05/53.65 (~v294(constB188)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35855, 15964, 35852])).
% 84.05/53.65 tff(35857,plain,
% 84.05/53.65 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB188) | (~v293(constB188)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB188) | (~v293(constB188)))),
% 84.05/53.65 inference(rewrite,[status(thm)],[])).
% 84.05/53.65 tff(35858,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB188) | (~v293(constB188)))),
% 84.05/53.65 inference(quant_inst,[status(thm)],[])).
% 84.05/53.65 tff(35859,plain,
% 84.05/53.65 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB188) | (~v293(constB188))),
% 84.05/53.65 inference(modus_ponens,[status(thm)],[35858, 35857])).
% 84.05/53.65 tff(35860,plain,
% 84.05/53.65 (~v293(constB188)),
% 84.05/53.65 inference(unit_resolution,[status(thm)],[35859, 15978, 35856])).
% 84.05/53.66 tff(35861,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB188) | (~v299(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB188) | (~v299(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35862,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB188) | (~v299(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35863,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB188) | (~v299(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35862, 35861])).
% 84.05/53.66 tff(35864,plain,
% 84.05/53.66 (~v299(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35863, 22584, 32741])).
% 84.05/53.66 tff(35865,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB188) | (~v298(constB188)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB188) | (~v298(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35866,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB188) | (~v298(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35867,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB188) | (~v298(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35866, 35865])).
% 84.05/53.66 tff(35868,plain,
% 84.05/53.66 (~v298(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35867, 19336, 35864])).
% 84.05/53.66 tff(35869,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB188) | (~v297(constB188)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB188) | (~v297(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35870,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB188) | (~v297(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35871,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB188) | (~v297(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35870, 35869])).
% 84.05/53.66 tff(35872,plain,
% 84.05/53.66 (~v297(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35871, 19350, 35868])).
% 84.05/53.66 tff(35873,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB188) | v297(constB188) | (~v292(constB188)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB188) | v297(constB188) | (~v292(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35874,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB188) | v297(constB188) | (~v292(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35875,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB188) | v297(constB188) | (~v292(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35874, 35873])).
% 84.05/53.66 tff(35876,plain,
% 84.05/53.66 (~v292(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35875, 4781, 35872, 35860])).
% 84.05/53.66 tff(35877,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB188) | (~v304(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB188) | (~v304(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35878,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB188) | (~v304(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35879,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB188) | (~v304(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35878, 35877])).
% 84.05/53.66 tff(35880,plain,
% 84.05/53.66 (~v304(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35879, 22610, 32741])).
% 84.05/53.66 tff(35881,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB188) | (~v303(constB188)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB188) | (~v303(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35882,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB188) | (~v303(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35883,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB188) | (~v303(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35882, 35881])).
% 84.05/53.66 tff(35884,plain,
% 84.05/53.66 (~v303(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35883, 21948, 35880])).
% 84.05/53.66 tff(35885,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB188) | (~v302(constB188)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB188) | (~v302(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35886,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB188) | (~v302(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35887,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB188) | (~v302(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35886, 35885])).
% 84.05/53.66 tff(35888,plain,
% 84.05/53.66 (~v302(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35887, 21962, 35884])).
% 84.05/53.66 tff(35889,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB188) | v292(constB188) | v290(constB188))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB188) | v292(constB188) | v290(constB188))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35890,plain,
% 84.05/53.66 ((v292(constB188) | v302(constB188) | v290(constB188)) <=> (v302(constB188) | v292(constB188) | v290(constB188))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35891,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB188) | v302(constB188) | v290(constB188))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB188) | v292(constB188) | v290(constB188)))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[35890])).
% 84.05/53.66 tff(35892,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB188) | v302(constB188) | v290(constB188))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB188) | v292(constB188) | v290(constB188))),
% 84.05/53.66 inference(transitivity,[status(thm)],[35891, 35889])).
% 84.05/53.66 tff(35893,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB188) | v302(constB188) | v290(constB188))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35894,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB188) | v292(constB188) | v290(constB188)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35893, 35892])).
% 84.05/53.66 tff(35895,plain,
% 84.05/53.66 (v292(constB188) | v290(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35894, 5074, 35888])).
% 84.05/53.66 tff(35896,plain,
% 84.05/53.66 (v290(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35895, 35876])).
% 84.05/53.66 tff(35897,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB188) | (~v307(constB188)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB188) | (~v307(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35898,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB188) | (~v307(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35899,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB188) | (~v307(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35898, 35897])).
% 84.05/53.66 tff(35900,plain,
% 84.05/53.66 (~v307(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35899, 22640, 35856])).
% 84.05/53.66 tff(35901,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB188) | v289(constB188) | (~v290(constB188)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB188) | v289(constB188) | (~v290(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35902,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB188) | v289(constB188) | (~v290(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35903,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB188) | v289(constB188) | (~v290(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35902, 35901])).
% 84.05/53.66 tff(35904,plain,
% 84.05/53.66 (v289(constB188) | (~v290(constB188))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35903, 5092, 35900])).
% 84.05/53.66 tff(35905,plain,
% 84.05/53.66 (v289(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35904, 35896])).
% 84.05/53.66 tff(35906,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB188) | (~v311(constB188)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB188) | (~v311(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35907,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB188) | (~v311(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35908,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB188) | (~v311(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35907, 35906])).
% 84.05/53.66 tff(35909,plain,
% 84.05/53.66 (~v311(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35908, 22659, 32741])).
% 84.05/53.66 tff(35910,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB188) | (~v310(constB188)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB188) | (~v310(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35911,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB188) | (~v310(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35912,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB188) | (~v310(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 84.05/53.66 tff(35913,plain,
% 84.05/53.66 (~v310(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35912, 3574, 35909])).
% 84.05/53.66 tff(35914,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB188) | (~v309(constB188)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB188) | (~v309(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35915,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB188) | (~v309(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35916,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB188) | (~v309(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35915, 35914])).
% 84.05/53.66 tff(35917,plain,
% 84.05/53.66 (~v309(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35916, 3588, 35913])).
% 84.05/53.66 tff(35918,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB188) | v288(constB188) | (~v289(constB188)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB188) | v288(constB188) | (~v289(constB188)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35919,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB188) | v288(constB188) | (~v289(constB188)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35920,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB188) | v288(constB188) | (~v289(constB188))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 84.05/53.66 tff(35921,plain,
% 84.05/53.66 (v288(constB188) | (~v289(constB188))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35920, 5107, 35917])).
% 84.05/53.66 tff(35922,plain,
% 84.05/53.66 (v288(constB188)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35921, 35905])).
% 84.05/53.66 tff(35923,plain,
% 84.05/53.66 ($false),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35922, 35848])).
% 84.05/53.66 tff(35924,plain,((~(constB188 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.66 tff(35925,plain,
% 84.05/53.66 (~(constB188 = sK_VarCurr)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35924, 5240])).
% 84.05/53.66 tff(35926,assumption,(constB64 = sK_VarCurr), introduced(assumption)).
% 84.05/53.66 tff(35927,plain,
% 84.05/53.66 (v288(constB64) <=> v288(sK_VarCurr)),
% 84.05/53.66 inference(monotonicity,[status(thm)],[35926])).
% 84.05/53.66 tff(35928,plain,
% 84.05/53.66 (v288(sK_VarCurr) <=> v288(constB64)),
% 84.05/53.66 inference(symmetry,[status(thm)],[35927])).
% 84.05/53.66 tff(35929,plain,
% 84.05/53.66 ((~v288(sK_VarCurr)) <=> (~v288(constB64))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[35928])).
% 84.05/53.66 tff(35930,plain,
% 84.05/53.66 (~v288(constB64)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[5240, 35929])).
% 84.05/53.66 tff(35931,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB64) | (~v295(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB64) | (~v295(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35932,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB64) | (~v295(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35933,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB64) | (~v295(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 84.05/53.66 tff(35934,plain,
% 84.05/53.66 (~v295(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35933, 22562, 34142])).
% 84.05/53.66 tff(35935,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB64) | (~v294(constB64)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB64) | (~v294(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35936,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB64) | (~v294(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35937,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB64) | (~v294(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35936, 35935])).
% 84.05/53.66 tff(35938,plain,
% 84.05/53.66 (~v294(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35937, 15964, 35934])).
% 84.05/53.66 tff(35939,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB64) | (~v293(constB64)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB64) | (~v293(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35940,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB64) | (~v293(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35941,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB64) | (~v293(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35940, 35939])).
% 84.05/53.66 tff(35942,plain,
% 84.05/53.66 (~v293(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35941, 15978, 35938])).
% 84.05/53.66 tff(35943,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB64) | (~v299(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB64) | (~v299(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35944,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB64) | (~v299(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35945,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB64) | (~v299(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 84.05/53.66 tff(35946,plain,
% 84.05/53.66 (~v299(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35945, 22584, 34142])).
% 84.05/53.66 tff(35947,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB64) | (~v298(constB64)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB64) | (~v298(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35948,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB64) | (~v298(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35949,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB64) | (~v298(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35948, 35947])).
% 84.05/53.66 tff(35950,plain,
% 84.05/53.66 (~v298(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35949, 19336, 35946])).
% 84.05/53.66 tff(35951,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB64) | (~v297(constB64)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB64) | (~v297(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35952,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB64) | (~v297(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35953,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB64) | (~v297(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35952, 35951])).
% 84.05/53.66 tff(35954,plain,
% 84.05/53.66 (~v297(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35953, 19350, 35950])).
% 84.05/53.66 tff(35955,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB64) | v297(constB64) | (~v292(constB64)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB64) | v297(constB64) | (~v292(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35956,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB64) | v297(constB64) | (~v292(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35957,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB64) | v297(constB64) | (~v292(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35956, 35955])).
% 84.05/53.66 tff(35958,plain,
% 84.05/53.66 (~v292(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35957, 4781, 35954, 35942])).
% 84.05/53.66 tff(35959,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB64) | (~v304(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB64) | (~v304(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35960,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB64) | (~v304(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35961,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB64) | (~v304(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35960, 35959])).
% 84.05/53.66 tff(35962,plain,
% 84.05/53.66 (~v304(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35961, 22610, 34142])).
% 84.05/53.66 tff(35963,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB64) | (~v303(constB64)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB64) | (~v303(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35964,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB64) | (~v303(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35965,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB64) | (~v303(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35964, 35963])).
% 84.05/53.66 tff(35966,plain,
% 84.05/53.66 (~v303(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35965, 21948, 35962])).
% 84.05/53.66 tff(35967,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB64) | (~v302(constB64)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB64) | (~v302(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35968,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB64) | (~v302(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35969,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB64) | (~v302(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35968, 35967])).
% 84.05/53.66 tff(35970,plain,
% 84.05/53.66 (~v302(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35969, 21962, 35966])).
% 84.05/53.66 tff(35971,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB64) | v292(constB64) | v290(constB64))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB64) | v292(constB64) | v290(constB64))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35972,plain,
% 84.05/53.66 ((v292(constB64) | v302(constB64) | v290(constB64)) <=> (v302(constB64) | v292(constB64) | v290(constB64))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35973,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB64) | v302(constB64) | v290(constB64))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB64) | v292(constB64) | v290(constB64)))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[35972])).
% 84.05/53.66 tff(35974,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB64) | v302(constB64) | v290(constB64))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB64) | v292(constB64) | v290(constB64))),
% 84.05/53.66 inference(transitivity,[status(thm)],[35973, 35971])).
% 84.05/53.66 tff(35975,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB64) | v302(constB64) | v290(constB64))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35976,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB64) | v292(constB64) | v290(constB64)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35975, 35974])).
% 84.05/53.66 tff(35977,plain,
% 84.05/53.66 (v292(constB64) | v290(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35976, 5074, 35970])).
% 84.05/53.66 tff(35978,plain,
% 84.05/53.66 (v290(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35977, 35958])).
% 84.05/53.66 tff(35979,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB64) | (~v307(constB64)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB64) | (~v307(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35980,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB64) | (~v307(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35981,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB64) | (~v307(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35980, 35979])).
% 84.05/53.66 tff(35982,plain,
% 84.05/53.66 (~v307(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35981, 22640, 35938])).
% 84.05/53.66 tff(35983,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB64) | v289(constB64) | (~v290(constB64)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB64) | v289(constB64) | (~v290(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35984,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB64) | v289(constB64) | (~v290(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35985,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB64) | v289(constB64) | (~v290(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35984, 35983])).
% 84.05/53.66 tff(35986,plain,
% 84.05/53.66 (v289(constB64) | (~v290(constB64))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35985, 5092, 35982])).
% 84.05/53.66 tff(35987,plain,
% 84.05/53.66 (v289(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35986, 35978])).
% 84.05/53.66 tff(35988,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB64) | (~v311(constB64)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB64) | (~v311(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35989,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB64) | (~v311(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35990,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB64) | (~v311(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35989, 35988])).
% 84.05/53.66 tff(35991,plain,
% 84.05/53.66 (~v311(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35990, 22659, 34142])).
% 84.05/53.66 tff(35992,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB64) | (~v310(constB64)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB64) | (~v310(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35993,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB64) | (~v310(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35994,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB64) | (~v310(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35993, 35992])).
% 84.05/53.66 tff(35995,plain,
% 84.05/53.66 (~v310(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35994, 3574, 35991])).
% 84.05/53.66 tff(35996,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB64) | (~v309(constB64)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB64) | (~v309(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(35997,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB64) | (~v309(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(35998,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB64) | (~v309(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[35997, 35996])).
% 84.05/53.66 tff(35999,plain,
% 84.05/53.66 (~v309(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[35998, 3588, 35995])).
% 84.05/53.66 tff(36000,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB64) | v288(constB64) | (~v289(constB64)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB64) | v288(constB64) | (~v289(constB64)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36001,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB64) | v288(constB64) | (~v289(constB64)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36002,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB64) | v288(constB64) | (~v289(constB64))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36001, 36000])).
% 84.05/53.66 tff(36003,plain,
% 84.05/53.66 (v288(constB64) | (~v289(constB64))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36002, 5107, 35999])).
% 84.05/53.66 tff(36004,plain,
% 84.05/53.66 (v288(constB64)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36003, 35987])).
% 84.05/53.66 tff(36005,plain,
% 84.05/53.66 ($false),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36004, 35930])).
% 84.05/53.66 tff(36006,plain,((~(constB64 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.66 tff(36007,plain,
% 84.05/53.66 (~(constB64 = sK_VarCurr)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36006, 5240])).
% 84.05/53.66 tff(36008,assumption,(constB52 = sK_VarCurr), introduced(assumption)).
% 84.05/53.66 tff(36009,plain,
% 84.05/53.66 (v288(constB52) <=> v288(sK_VarCurr)),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36008])).
% 84.05/53.66 tff(36010,plain,
% 84.05/53.66 (v288(sK_VarCurr) <=> v288(constB52)),
% 84.05/53.66 inference(symmetry,[status(thm)],[36009])).
% 84.05/53.66 tff(36011,plain,
% 84.05/53.66 ((~v288(sK_VarCurr)) <=> (~v288(constB52))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36010])).
% 84.05/53.66 tff(36012,plain,
% 84.05/53.66 (~v288(constB52)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[5240, 36011])).
% 84.05/53.66 tff(36013,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB52) | (~v295(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB52) | (~v295(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36014,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB52) | (~v295(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36015,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB52) | (~v295(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36014, 36013])).
% 84.05/53.66 tff(36016,plain,
% 84.05/53.66 (~v295(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36015, 22562, 24907])).
% 84.05/53.66 tff(36017,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB52) | (~v294(constB52)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB52) | (~v294(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36018,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB52) | (~v294(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36019,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB52) | (~v294(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36018, 36017])).
% 84.05/53.66 tff(36020,plain,
% 84.05/53.66 (~v294(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36019, 15964, 36016])).
% 84.05/53.66 tff(36021,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB52) | (~v293(constB52)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB52) | (~v293(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36022,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB52) | (~v293(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36023,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB52) | (~v293(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36022, 36021])).
% 84.05/53.66 tff(36024,plain,
% 84.05/53.66 (~v293(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36023, 15978, 36020])).
% 84.05/53.66 tff(36025,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB52) | (~v299(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB52) | (~v299(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36026,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB52) | (~v299(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36027,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB52) | (~v299(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36026, 36025])).
% 84.05/53.66 tff(36028,plain,
% 84.05/53.66 (~v299(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36027, 22584, 24907])).
% 84.05/53.66 tff(36029,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB52) | (~v298(constB52)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB52) | (~v298(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36030,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB52) | (~v298(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36031,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB52) | (~v298(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36030, 36029])).
% 84.05/53.66 tff(36032,plain,
% 84.05/53.66 (~v298(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36031, 19336, 36028])).
% 84.05/53.66 tff(36033,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB52) | (~v297(constB52)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB52) | (~v297(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36034,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB52) | (~v297(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36035,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB52) | (~v297(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36034, 36033])).
% 84.05/53.66 tff(36036,plain,
% 84.05/53.66 (~v297(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36035, 19350, 36032])).
% 84.05/53.66 tff(36037,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB52) | v297(constB52) | (~v292(constB52)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB52) | v297(constB52) | (~v292(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36038,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB52) | v297(constB52) | (~v292(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36039,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB52) | v297(constB52) | (~v292(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36038, 36037])).
% 84.05/53.66 tff(36040,plain,
% 84.05/53.66 (~v292(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36039, 4781, 36036, 36024])).
% 84.05/53.66 tff(36041,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB52) | (~v304(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB52) | (~v304(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36042,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB52) | (~v304(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36043,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB52) | (~v304(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36042, 36041])).
% 84.05/53.66 tff(36044,plain,
% 84.05/53.66 (~v304(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36043, 22610, 24907])).
% 84.05/53.66 tff(36045,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB52) | (~v303(constB52)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB52) | (~v303(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36046,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB52) | (~v303(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36047,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB52) | (~v303(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36046, 36045])).
% 84.05/53.66 tff(36048,plain,
% 84.05/53.66 (~v303(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36047, 21948, 36044])).
% 84.05/53.66 tff(36049,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB52) | (~v302(constB52)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB52) | (~v302(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36050,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB52) | (~v302(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36051,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB52) | (~v302(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36050, 36049])).
% 84.05/53.66 tff(36052,plain,
% 84.05/53.66 (~v302(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36051, 21962, 36048])).
% 84.05/53.66 tff(36053,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB52) | v292(constB52) | v290(constB52))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB52) | v292(constB52) | v290(constB52))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36054,plain,
% 84.05/53.66 ((v292(constB52) | v302(constB52) | v290(constB52)) <=> (v302(constB52) | v292(constB52) | v290(constB52))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36055,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB52) | v302(constB52) | v290(constB52))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB52) | v292(constB52) | v290(constB52)))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36054])).
% 84.05/53.66 tff(36056,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB52) | v302(constB52) | v290(constB52))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB52) | v292(constB52) | v290(constB52))),
% 84.05/53.66 inference(transitivity,[status(thm)],[36055, 36053])).
% 84.05/53.66 tff(36057,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB52) | v302(constB52) | v290(constB52))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36058,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB52) | v292(constB52) | v290(constB52)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 84.05/53.66 tff(36059,plain,
% 84.05/53.66 (v292(constB52) | v290(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36058, 5074, 36052])).
% 84.05/53.66 tff(36060,plain,
% 84.05/53.66 (v290(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36059, 36040])).
% 84.05/53.66 tff(36061,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB52) | (~v307(constB52)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB52) | (~v307(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36062,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB52) | (~v307(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36063,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB52) | (~v307(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36062, 36061])).
% 84.05/53.66 tff(36064,plain,
% 84.05/53.66 (~v307(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36063, 22640, 36020])).
% 84.05/53.66 tff(36065,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB52) | v289(constB52) | (~v290(constB52)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB52) | v289(constB52) | (~v290(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36066,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB52) | v289(constB52) | (~v290(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36067,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB52) | v289(constB52) | (~v290(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36066, 36065])).
% 84.05/53.66 tff(36068,plain,
% 84.05/53.66 (v289(constB52) | (~v290(constB52))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36067, 5092, 36064])).
% 84.05/53.66 tff(36069,plain,
% 84.05/53.66 (v289(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36068, 36060])).
% 84.05/53.66 tff(36070,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB52) | (~v311(constB52)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB52) | (~v311(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36071,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB52) | (~v311(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36072,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB52) | (~v311(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36071, 36070])).
% 84.05/53.66 tff(36073,plain,
% 84.05/53.66 (~v311(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36072, 22659, 24907])).
% 84.05/53.66 tff(36074,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB52) | (~v310(constB52)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB52) | (~v310(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36075,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB52) | (~v310(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36076,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB52) | (~v310(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 84.05/53.66 tff(36077,plain,
% 84.05/53.66 (~v310(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36076, 3574, 36073])).
% 84.05/53.66 tff(36078,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB52) | (~v309(constB52)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB52) | (~v309(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36079,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB52) | (~v309(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36080,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB52) | (~v309(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36079, 36078])).
% 84.05/53.66 tff(36081,plain,
% 84.05/53.66 (~v309(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36080, 3588, 36077])).
% 84.05/53.66 tff(36082,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB52) | v288(constB52) | (~v289(constB52)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB52) | v288(constB52) | (~v289(constB52)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36083,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB52) | v288(constB52) | (~v289(constB52)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36084,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB52) | v288(constB52) | (~v289(constB52))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36083, 36082])).
% 84.05/53.66 tff(36085,plain,
% 84.05/53.66 (v288(constB52) | (~v289(constB52))),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36084, 5107, 36081])).
% 84.05/53.66 tff(36086,plain,
% 84.05/53.66 (v288(constB52)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36085, 36069])).
% 84.05/53.66 tff(36087,plain,
% 84.05/53.66 ($false),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36086, 36012])).
% 84.05/53.66 tff(36088,plain,((~(constB52 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.66 tff(36089,plain,
% 84.05/53.66 (~(constB52 = sK_VarCurr)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36088, 5240])).
% 84.05/53.66 tff(36090,assumption,(constB26 = sK_VarCurr), introduced(assumption)).
% 84.05/53.66 tff(36091,plain,
% 84.05/53.66 (v288(constB26) <=> v288(sK_VarCurr)),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36090])).
% 84.05/53.66 tff(36092,plain,
% 84.05/53.66 (v288(sK_VarCurr) <=> v288(constB26)),
% 84.05/53.66 inference(symmetry,[status(thm)],[36091])).
% 84.05/53.66 tff(36093,plain,
% 84.05/53.66 ((~v288(sK_VarCurr)) <=> (~v288(constB26))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36092])).
% 84.05/53.66 tff(36094,plain,
% 84.05/53.66 (~v288(constB26)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[5240, 36093])).
% 84.05/53.66 tff(36095,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB26) | (~v295(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB26) | (~v295(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36096,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB26) | (~v295(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36097,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB26) | (~v295(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36096, 36095])).
% 84.05/53.66 tff(36098,plain,
% 84.05/53.66 (~v295(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36097, 22562, 3905])).
% 84.05/53.66 tff(36099,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB26) | (~v294(constB26)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB26) | (~v294(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36100,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB26) | (~v294(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36101,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB26) | (~v294(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36100, 36099])).
% 84.05/53.66 tff(36102,plain,
% 84.05/53.66 (~v294(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36101, 15964, 36098])).
% 84.05/53.66 tff(36103,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB26) | (~v293(constB26)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB26) | (~v293(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36104,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB26) | (~v293(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36105,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB26) | (~v293(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36104, 36103])).
% 84.05/53.66 tff(36106,plain,
% 84.05/53.66 (~v293(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36105, 15978, 36102])).
% 84.05/53.66 tff(36107,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB26) | (~v299(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB26) | (~v299(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36108,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB26) | (~v299(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36109,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB26) | (~v299(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36108, 36107])).
% 84.05/53.66 tff(36110,plain,
% 84.05/53.66 (~v299(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36109, 22584, 3905])).
% 84.05/53.66 tff(36111,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB26) | (~v298(constB26)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB26) | (~v298(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36112,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB26) | (~v298(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36113,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB26) | (~v298(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36112, 36111])).
% 84.05/53.66 tff(36114,plain,
% 84.05/53.66 (~v298(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36113, 19336, 36110])).
% 84.05/53.66 tff(36115,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB26) | (~v297(constB26)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB26) | (~v297(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36116,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB26) | (~v297(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36117,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB26) | (~v297(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36116, 36115])).
% 84.05/53.66 tff(36118,plain,
% 84.05/53.66 (~v297(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36117, 19350, 36114])).
% 84.05/53.66 tff(36119,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB26) | v297(constB26) | (~v292(constB26)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB26) | v297(constB26) | (~v292(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36120,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB26) | v297(constB26) | (~v292(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36121,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB26) | v297(constB26) | (~v292(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36120, 36119])).
% 84.05/53.66 tff(36122,plain,
% 84.05/53.66 (~v292(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36121, 4781, 36118, 36106])).
% 84.05/53.66 tff(36123,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB26) | (~v304(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB26) | (~v304(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36124,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB26) | (~v304(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36125,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB26) | (~v304(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36124, 36123])).
% 84.05/53.66 tff(36126,plain,
% 84.05/53.66 (~v304(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36125, 22610, 3905])).
% 84.05/53.66 tff(36127,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB26) | (~v303(constB26)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB26) | (~v303(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36128,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB26) | (~v303(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36129,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB26) | (~v303(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36128, 36127])).
% 84.05/53.66 tff(36130,plain,
% 84.05/53.66 (~v303(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36129, 21948, 36126])).
% 84.05/53.66 tff(36131,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB26) | (~v302(constB26)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB26) | (~v302(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36132,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB26) | (~v302(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36133,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB26) | (~v302(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36132, 36131])).
% 84.05/53.66 tff(36134,plain,
% 84.05/53.66 (~v302(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36133, 21962, 36130])).
% 84.05/53.66 tff(36135,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB26) | v292(constB26) | v290(constB26))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB26) | v292(constB26) | v290(constB26))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36136,plain,
% 84.05/53.66 ((v292(constB26) | v302(constB26) | v290(constB26)) <=> (v302(constB26) | v292(constB26) | v290(constB26))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36137,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB26) | v302(constB26) | v290(constB26))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB26) | v292(constB26) | v290(constB26)))),
% 84.05/53.66 inference(monotonicity,[status(thm)],[36136])).
% 84.05/53.66 tff(36138,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB26) | v302(constB26) | v290(constB26))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB26) | v292(constB26) | v290(constB26))),
% 84.05/53.66 inference(transitivity,[status(thm)],[36137, 36135])).
% 84.05/53.66 tff(36139,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB26) | v302(constB26) | v290(constB26))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36140,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB26) | v292(constB26) | v290(constB26)),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36139, 36138])).
% 84.05/53.66 tff(36141,plain,
% 84.05/53.66 (v292(constB26) | v290(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36140, 5074, 36134])).
% 84.05/53.66 tff(36142,plain,
% 84.05/53.66 (v290(constB26)),
% 84.05/53.66 inference(unit_resolution,[status(thm)],[36141, 36122])).
% 84.05/53.66 tff(36143,plain,
% 84.05/53.66 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB26) | (~v307(constB26)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB26) | (~v307(constB26)))),
% 84.05/53.66 inference(rewrite,[status(thm)],[])).
% 84.05/53.66 tff(36144,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB26) | (~v307(constB26)))),
% 84.05/53.66 inference(quant_inst,[status(thm)],[])).
% 84.05/53.66 tff(36145,plain,
% 84.05/53.66 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB26) | (~v307(constB26))),
% 84.05/53.66 inference(modus_ponens,[status(thm)],[36144, 36143])).
% 84.05/53.67 tff(36146,plain,
% 84.05/53.67 (~v307(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36145, 22640, 36102])).
% 84.05/53.67 tff(36147,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB26) | v289(constB26) | (~v290(constB26)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB26) | v289(constB26) | (~v290(constB26)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36148,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB26) | v289(constB26) | (~v290(constB26)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36149,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB26) | v289(constB26) | (~v290(constB26))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36148, 36147])).
% 84.05/53.67 tff(36150,plain,
% 84.05/53.67 (v289(constB26) | (~v290(constB26))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36149, 5092, 36146])).
% 84.05/53.67 tff(36151,plain,
% 84.05/53.67 (v289(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36150, 36142])).
% 84.05/53.67 tff(36152,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB26) | (~v311(constB26)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB26) | (~v311(constB26)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36153,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB26) | (~v311(constB26)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36154,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB26) | (~v311(constB26))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36153, 36152])).
% 84.05/53.67 tff(36155,plain,
% 84.05/53.67 (~v311(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36154, 22659, 3905])).
% 84.05/53.67 tff(36156,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB26) | (~v310(constB26)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB26) | (~v310(constB26)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36157,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB26) | (~v310(constB26)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36158,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB26) | (~v310(constB26))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36157, 36156])).
% 84.05/53.67 tff(36159,plain,
% 84.05/53.67 (~v310(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36158, 3574, 36155])).
% 84.05/53.67 tff(36160,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB26) | (~v309(constB26)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB26) | (~v309(constB26)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36161,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB26) | (~v309(constB26)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36162,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB26) | (~v309(constB26))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36161, 36160])).
% 84.05/53.67 tff(36163,plain,
% 84.05/53.67 (~v309(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36162, 3588, 36159])).
% 84.05/53.67 tff(36164,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB26) | v288(constB26) | (~v289(constB26)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB26) | v288(constB26) | (~v289(constB26)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36165,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB26) | v288(constB26) | (~v289(constB26)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36166,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB26) | v288(constB26) | (~v289(constB26))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36165, 36164])).
% 84.05/53.67 tff(36167,plain,
% 84.05/53.67 (v288(constB26) | (~v289(constB26))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36166, 5107, 36163])).
% 84.05/53.67 tff(36168,plain,
% 84.05/53.67 (v288(constB26)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36167, 36151])).
% 84.05/53.67 tff(36169,plain,
% 84.05/53.67 ($false),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36168, 36094])).
% 84.05/53.67 tff(36170,plain,((~(constB26 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.67 tff(36171,plain,
% 84.05/53.67 (~(constB26 = sK_VarCurr)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36170, 5240])).
% 84.05/53.67 tff(36172,assumption,(constB70 = sK_VarCurr), introduced(assumption)).
% 84.05/53.67 tff(36173,plain,
% 84.05/53.67 (v288(constB70) <=> v288(sK_VarCurr)),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36172])).
% 84.05/53.67 tff(36174,plain,
% 84.05/53.67 (v288(sK_VarCurr) <=> v288(constB70)),
% 84.05/53.67 inference(symmetry,[status(thm)],[36173])).
% 84.05/53.67 tff(36175,plain,
% 84.05/53.67 ((~v288(sK_VarCurr)) <=> (~v288(constB70))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36174])).
% 84.05/53.67 tff(36176,plain,
% 84.05/53.67 (~v288(constB70)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[5240, 36175])).
% 84.05/53.67 tff(36177,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB70) | (~v295(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB70) | (~v295(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36178,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB70) | (~v295(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36179,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB70) | (~v295(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36178, 36177])).
% 84.05/53.67 tff(36180,plain,
% 84.05/53.67 (~v295(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36179, 22562, 23756])).
% 84.05/53.67 tff(36181,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB70) | (~v294(constB70)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB70) | (~v294(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36182,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB70) | (~v294(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36183,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB70) | (~v294(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36182, 36181])).
% 84.05/53.67 tff(36184,plain,
% 84.05/53.67 (~v294(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36183, 15964, 36180])).
% 84.05/53.67 tff(36185,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB70) | (~v293(constB70)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB70) | (~v293(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36186,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB70) | (~v293(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36187,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB70) | (~v293(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36186, 36185])).
% 84.05/53.67 tff(36188,plain,
% 84.05/53.67 (~v293(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36187, 15978, 36184])).
% 84.05/53.67 tff(36189,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB70) | (~v299(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB70) | (~v299(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36190,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB70) | (~v299(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36191,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB70) | (~v299(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36190, 36189])).
% 84.05/53.67 tff(36192,plain,
% 84.05/53.67 (~v299(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36191, 22584, 23756])).
% 84.05/53.67 tff(36193,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB70) | (~v298(constB70)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB70) | (~v298(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36194,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB70) | (~v298(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36195,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB70) | (~v298(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36194, 36193])).
% 84.05/53.67 tff(36196,plain,
% 84.05/53.67 (~v298(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36195, 19336, 36192])).
% 84.05/53.67 tff(36197,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB70) | (~v297(constB70)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB70) | (~v297(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36198,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB70) | (~v297(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36199,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB70) | (~v297(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36198, 36197])).
% 84.05/53.67 tff(36200,plain,
% 84.05/53.67 (~v297(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36199, 19350, 36196])).
% 84.05/53.67 tff(36201,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB70) | v297(constB70) | (~v292(constB70)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB70) | v297(constB70) | (~v292(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36202,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB70) | v297(constB70) | (~v292(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36203,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB70) | v297(constB70) | (~v292(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36202, 36201])).
% 84.05/53.67 tff(36204,plain,
% 84.05/53.67 (~v292(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36203, 4781, 36200, 36188])).
% 84.05/53.67 tff(36205,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB70) | (~v304(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB70) | (~v304(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36206,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB70) | (~v304(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36207,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB70) | (~v304(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36206, 36205])).
% 84.05/53.67 tff(36208,plain,
% 84.05/53.67 (~v304(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36207, 22610, 23756])).
% 84.05/53.67 tff(36209,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB70) | (~v303(constB70)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB70) | (~v303(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36210,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB70) | (~v303(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36211,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB70) | (~v303(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 84.05/53.67 tff(36212,plain,
% 84.05/53.67 (~v303(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36211, 21948, 36208])).
% 84.05/53.67 tff(36213,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB70) | (~v302(constB70)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB70) | (~v302(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36214,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB70) | (~v302(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36215,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB70) | (~v302(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36214, 36213])).
% 84.05/53.67 tff(36216,plain,
% 84.05/53.67 (~v302(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36215, 21962, 36212])).
% 84.05/53.67 tff(36217,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB70) | v292(constB70) | v290(constB70))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB70) | v292(constB70) | v290(constB70))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36218,plain,
% 84.05/53.67 ((v292(constB70) | v302(constB70) | v290(constB70)) <=> (v302(constB70) | v292(constB70) | v290(constB70))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36219,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB70) | v302(constB70) | v290(constB70))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB70) | v292(constB70) | v290(constB70)))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36218])).
% 84.05/53.67 tff(36220,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB70) | v302(constB70) | v290(constB70))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB70) | v292(constB70) | v290(constB70))),
% 84.05/53.67 inference(transitivity,[status(thm)],[36219, 36217])).
% 84.05/53.67 tff(36221,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB70) | v302(constB70) | v290(constB70))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36222,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB70) | v292(constB70) | v290(constB70)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36221, 36220])).
% 84.05/53.67 tff(36223,plain,
% 84.05/53.67 (v292(constB70) | v290(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36222, 5074, 36216])).
% 84.05/53.67 tff(36224,plain,
% 84.05/53.67 (v290(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36223, 36204])).
% 84.05/53.67 tff(36225,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB70) | (~v307(constB70)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB70) | (~v307(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36226,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB70) | (~v307(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36227,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB70) | (~v307(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36226, 36225])).
% 84.05/53.67 tff(36228,plain,
% 84.05/53.67 (~v307(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36227, 22640, 36184])).
% 84.05/53.67 tff(36229,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB70) | v289(constB70) | (~v290(constB70)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB70) | v289(constB70) | (~v290(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36230,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB70) | v289(constB70) | (~v290(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36231,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB70) | v289(constB70) | (~v290(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36230, 36229])).
% 84.05/53.67 tff(36232,plain,
% 84.05/53.67 (v289(constB70) | (~v290(constB70))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36231, 5092, 36228])).
% 84.05/53.67 tff(36233,plain,
% 84.05/53.67 (v289(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36232, 36224])).
% 84.05/53.67 tff(36234,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB70) | (~v311(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB70) | (~v311(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36235,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB70) | (~v311(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36236,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB70) | (~v311(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36235, 36234])).
% 84.05/53.67 tff(36237,plain,
% 84.05/53.67 (~v311(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36236, 22659, 23756])).
% 84.05/53.67 tff(36238,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB70) | (~v310(constB70)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB70) | (~v310(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36239,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB70) | (~v310(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36240,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB70) | (~v310(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36239, 36238])).
% 84.05/53.67 tff(36241,plain,
% 84.05/53.67 (~v310(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36240, 3574, 36237])).
% 84.05/53.67 tff(36242,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB70) | (~v309(constB70)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB70) | (~v309(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36243,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB70) | (~v309(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36244,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB70) | (~v309(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36243, 36242])).
% 84.05/53.67 tff(36245,plain,
% 84.05/53.67 (~v309(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36244, 3588, 36241])).
% 84.05/53.67 tff(36246,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB70) | v288(constB70) | (~v289(constB70)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB70) | v288(constB70) | (~v289(constB70)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36247,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB70) | v288(constB70) | (~v289(constB70)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36248,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB70) | v288(constB70) | (~v289(constB70))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36247, 36246])).
% 84.05/53.67 tff(36249,plain,
% 84.05/53.67 (v288(constB70) | (~v289(constB70))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36248, 5107, 36245])).
% 84.05/53.67 tff(36250,plain,
% 84.05/53.67 (v288(constB70)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36249, 36233])).
% 84.05/53.67 tff(36251,plain,
% 84.05/53.67 ($false),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36250, 36176])).
% 84.05/53.67 tff(36252,plain,((~(constB70 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.67 tff(36253,plain,
% 84.05/53.67 (~(constB70 = sK_VarCurr)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36252, 5240])).
% 84.05/53.67 tff(36254,assumption,(constB46 = sK_VarCurr), introduced(assumption)).
% 84.05/53.67 tff(36255,plain,
% 84.05/53.67 (v288(constB46) <=> v288(sK_VarCurr)),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36254])).
% 84.05/53.67 tff(36256,plain,
% 84.05/53.67 (v288(sK_VarCurr) <=> v288(constB46)),
% 84.05/53.67 inference(symmetry,[status(thm)],[36255])).
% 84.05/53.67 tff(36257,plain,
% 84.05/53.67 ((~v288(sK_VarCurr)) <=> (~v288(constB46))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36256])).
% 84.05/53.67 tff(36258,plain,
% 84.05/53.67 (~v288(constB46)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[5240, 36257])).
% 84.05/53.67 tff(36259,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB46)) | (~v184(constB46)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB46)) | (~v184(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36260,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB46)) | (~v184(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36261,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB46)) | (~v184(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36260, 36259])).
% 84.05/53.67 tff(36262,plain,
% 84.05/53.67 (~v184(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36261, 3901, 7664])).
% 84.05/53.67 tff(36263,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB46) | (~v295(constB46)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB46) | (~v295(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36264,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | (v184(constB46) | (~v295(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36265,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v295(VarCurr)))) | v184(constB46) | (~v295(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36264, 36263])).
% 84.05/53.67 tff(36266,plain,
% 84.05/53.67 (~v295(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36265, 22562, 36262])).
% 84.05/53.67 tff(36267,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB46) | (~v294(constB46)))) <=> ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB46) | (~v294(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36268,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | (v295(constB46) | (~v294(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36269,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v295(VarCurr) | (~v294(VarCurr)))) | v295(constB46) | (~v294(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36268, 36267])).
% 84.05/53.67 tff(36270,plain,
% 84.05/53.67 (~v294(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36269, 15964, 36266])).
% 84.05/53.67 tff(36271,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB46) | (~v293(constB46)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB46) | (~v293(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36272,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | (v294(constB46) | (~v293(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36273,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v293(VarCurr)))) | v294(constB46) | (~v293(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36272, 36271])).
% 84.05/53.67 tff(36274,plain,
% 84.05/53.67 (~v293(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36273, 15978, 36270])).
% 84.05/53.67 tff(36275,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB46) | (~v299(constB46)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB46) | (~v299(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36276,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | (v184(constB46) | (~v299(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36277,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v299(VarCurr)))) | v184(constB46) | (~v299(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36276, 36275])).
% 84.05/53.67 tff(36278,plain,
% 84.05/53.67 (~v299(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36277, 22584, 36262])).
% 84.05/53.67 tff(36279,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB46) | (~v298(constB46)))) <=> ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB46) | (~v298(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36280,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | (v299(constB46) | (~v298(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36281,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v299(VarCurr) | (~v298(VarCurr)))) | v299(constB46) | (~v298(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36280, 36279])).
% 84.05/53.67 tff(36282,plain,
% 84.05/53.67 (~v298(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36281, 19336, 36278])).
% 84.05/53.67 tff(36283,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB46) | (~v297(constB46)))) <=> ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB46) | (~v297(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36284,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | (v298(constB46) | (~v297(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36285,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v298(VarCurr) | (~v297(VarCurr)))) | v298(constB46) | (~v297(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36284, 36283])).
% 84.05/53.67 tff(36286,plain,
% 84.05/53.67 (~v297(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36285, 19350, 36282])).
% 84.05/53.67 tff(36287,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB46) | v297(constB46) | (~v292(constB46)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB46) | v297(constB46) | (~v292(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36288,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB46) | v297(constB46) | (~v292(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36289,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB46) | v297(constB46) | (~v292(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36288, 36287])).
% 84.05/53.67 tff(36290,plain,
% 84.05/53.67 (~v292(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36289, 4781, 36286, 36274])).
% 84.05/53.67 tff(36291,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB46) | (~v304(constB46)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB46) | (~v304(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36292,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | (v184(constB46) | (~v304(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36293,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v304(VarCurr)))) | v184(constB46) | (~v304(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36292, 36291])).
% 84.05/53.67 tff(36294,plain,
% 84.05/53.67 (~v304(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36293, 22610, 36262])).
% 84.05/53.67 tff(36295,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB46) | (~v303(constB46)))) <=> ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB46) | (~v303(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36296,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | (v304(constB46) | (~v303(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36297,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v304(VarCurr) | (~v303(VarCurr)))) | v304(constB46) | (~v303(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36296, 36295])).
% 84.05/53.67 tff(36298,plain,
% 84.05/53.67 (~v303(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36297, 21948, 36294])).
% 84.05/53.67 tff(36299,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB46) | (~v302(constB46)))) <=> ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB46) | (~v302(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36300,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | (v303(constB46) | (~v302(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36301,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v303(VarCurr) | (~v302(VarCurr)))) | v303(constB46) | (~v302(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36300, 36299])).
% 84.05/53.67 tff(36302,plain,
% 84.05/53.67 (~v302(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36301, 21962, 36298])).
% 84.05/53.67 tff(36303,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB46) | v292(constB46) | v290(constB46))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB46) | v292(constB46) | v290(constB46))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36304,plain,
% 84.05/53.67 ((v292(constB46) | v302(constB46) | v290(constB46)) <=> (v302(constB46) | v292(constB46) | v290(constB46))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36305,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB46) | v302(constB46) | v290(constB46))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB46) | v292(constB46) | v290(constB46)))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36304])).
% 84.05/53.67 tff(36306,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB46) | v302(constB46) | v290(constB46))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB46) | v292(constB46) | v290(constB46))),
% 84.05/53.67 inference(transitivity,[status(thm)],[36305, 36303])).
% 84.05/53.67 tff(36307,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB46) | v302(constB46) | v290(constB46))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36308,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB46) | v292(constB46) | v290(constB46)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36307, 36306])).
% 84.05/53.67 tff(36309,plain,
% 84.05/53.67 (v292(constB46) | v290(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36308, 5074, 36302])).
% 84.05/53.67 tff(36310,plain,
% 84.05/53.67 (v290(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36309, 36290])).
% 84.05/53.67 tff(36311,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB46) | (~v307(constB46)))) <=> ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB46) | (~v307(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36312,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | (v294(constB46) | (~v307(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36313,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v294(VarCurr) | (~v307(VarCurr)))) | v294(constB46) | (~v307(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36312, 36311])).
% 84.05/53.67 tff(36314,plain,
% 84.05/53.67 (~v307(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36313, 22640, 36270])).
% 84.05/53.67 tff(36315,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB46) | v289(constB46) | (~v290(constB46)))) <=> ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB46) | v289(constB46) | (~v290(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36316,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | (v307(constB46) | v289(constB46) | (~v290(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36317,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v307(VarCurr) | v289(VarCurr) | (~v290(VarCurr)))) | v307(constB46) | v289(constB46) | (~v290(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36316, 36315])).
% 84.05/53.67 tff(36318,plain,
% 84.05/53.67 (v289(constB46) | (~v290(constB46))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36317, 5092, 36314])).
% 84.05/53.67 tff(36319,plain,
% 84.05/53.67 (v289(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36318, 36310])).
% 84.05/53.67 tff(36320,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB46) | (~v311(constB46)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB46) | (~v311(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36321,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | (v184(constB46) | (~v311(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36322,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v311(VarCurr)))) | v184(constB46) | (~v311(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36321, 36320])).
% 84.05/53.67 tff(36323,plain,
% 84.05/53.67 (~v311(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36322, 22659, 36262])).
% 84.05/53.67 tff(36324,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB46) | (~v310(constB46)))) <=> ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB46) | (~v310(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36325,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | (v311(constB46) | (~v310(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36326,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v311(VarCurr) | (~v310(VarCurr)))) | v311(constB46) | (~v310(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36325, 36324])).
% 84.05/53.67 tff(36327,plain,
% 84.05/53.67 (~v310(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36326, 3574, 36323])).
% 84.05/53.67 tff(36328,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB46) | (~v309(constB46)))) <=> ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB46) | (~v309(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36329,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | (v310(constB46) | (~v309(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36330,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v310(VarCurr) | (~v309(VarCurr)))) | v310(constB46) | (~v309(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36329, 36328])).
% 84.05/53.67 tff(36331,plain,
% 84.05/53.67 (~v309(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36330, 3588, 36327])).
% 84.05/53.67 tff(36332,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB46) | v288(constB46) | (~v289(constB46)))) <=> ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB46) | v288(constB46) | (~v289(constB46)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36333,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | (v309(constB46) | v288(constB46) | (~v289(constB46)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36334,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v309(VarCurr) | v288(VarCurr) | (~v289(VarCurr)))) | v309(constB46) | v288(constB46) | (~v289(constB46))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36333, 36332])).
% 84.05/53.67 tff(36335,plain,
% 84.05/53.67 (v288(constB46) | (~v289(constB46))),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36334, 5107, 36331])).
% 84.05/53.67 tff(36336,plain,
% 84.05/53.67 (v288(constB46)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36335, 36319])).
% 84.05/53.67 tff(36337,plain,
% 84.05/53.67 ($false),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36336, 36258])).
% 84.05/53.67 tff(36338,plain,((~(constB46 = sK_VarCurr)) | v288(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.67 tff(36339,plain,
% 84.05/53.67 (~(constB46 = sK_VarCurr)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36338, 5240])).
% 84.05/53.67 tff(36340,assumption,(constB119 = sK_VarCurr), introduced(assumption)).
% 84.05/53.67 tff(36341,plain,
% 84.05/53.67 (v288(constB119) <=> v288(sK_VarCurr)),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36340])).
% 84.05/53.67 tff(36342,plain,
% 84.05/53.67 (v288(sK_VarCurr) <=> v288(constB119)),
% 84.05/53.67 inference(symmetry,[status(thm)],[36341])).
% 84.05/53.67 tff(36343,plain,
% 84.05/53.67 ((~v288(sK_VarCurr)) <=> (~v288(constB119))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36342])).
% 84.05/53.67 tff(36344,plain,
% 84.05/53.67 (~v288(constB119)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[5240, 36343])).
% 84.05/53.67 tff(36345,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB117, 2)) | v88(constB117, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB117, 2)) | v88(constB117, 2))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36346,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB117, 2)) | v88(constB117, 2))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36347,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB117, 2)) | v88(constB117, 2)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36346, 36345])).
% 84.05/53.67 tff(36348,plain,
% 84.05/53.67 (v88(constB117, 2)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36347, 3716, 16826])).
% 84.05/53.67 tff(36349,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB117)) | (~v88(constB117, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB117)) | (~v88(constB117, 2)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36350,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB117)) | (~v88(constB117, 2)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36351,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB117)) | (~v88(constB117, 2))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36350, 36349])).
% 84.05/53.67 tff(36352,plain,
% 84.05/53.67 (~v139(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36351, 4139, 36348])).
% 84.05/53.67 tff(36353,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB117)) | (~v88(constB117, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB117)) | (~v88(constB117, 2)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36354,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB117)) | (~v88(constB117, 2)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36355,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB117)) | (~v88(constB117, 2))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36354, 36353])).
% 84.05/53.67 tff(36356,plain,
% 84.05/53.67 (~v140(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36355, 4044, 36348])).
% 84.05/53.67 tff(36357,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB117) | v140(constB117) | (~v168(constB117)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36358,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v168(constB117)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36359,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB117) | v140(constB117) | (~v168(constB117))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36358, 36357])).
% 84.05/53.67 tff(36360,plain,
% 84.05/53.67 (~v168(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36359, 3983, 36356, 36352])).
% 84.05/53.67 tff(36361,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB117, 1)) | v90(constB117, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB117, 1)) | v90(constB117, 1))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36362,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB117, 1)) | v90(constB117, 1))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36363,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB117, 1)) | v90(constB117, 1)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36362, 36361])).
% 84.05/53.67 tff(36364,plain,
% 84.05/53.67 (~v88(constB117, 1)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36363, 3405, 16860])).
% 84.05/53.67 tff(36365,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB117, 0)) | v90(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB117, 0)) | v90(constB117, 0))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36366,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB117, 0)) | v90(constB117, 0))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36367,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB117, 0)) | v90(constB117, 0)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36366, 36365])).
% 84.05/53.67 tff(36368,plain,
% 84.05/53.67 (~v88(constB117, 0)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36367, 3705, 16894])).
% 84.05/53.67 tff(36369,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36370,plain,
% 84.05/53.67 (((~v88(constB117, 2)) | v88(constB117, 1) | v88(constB117, 0) | v146(constB117)) <=> ((~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36371,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB117, 2)) | v88(constB117, 1) | v88(constB117, 0) | v146(constB117))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0)))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36370])).
% 84.05/53.67 tff(36372,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB117, 2)) | v88(constB117, 1) | v88(constB117, 0) | v146(constB117))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0))),
% 84.05/53.67 inference(transitivity,[status(thm)],[36371, 36369])).
% 84.05/53.67 tff(36373,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB117, 2)) | v88(constB117, 1) | v88(constB117, 0) | v146(constB117))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36374,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB117, 2)) | v146(constB117) | v88(constB117, 1) | v88(constB117, 0)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36373, 36372])).
% 84.05/53.67 tff(36375,plain,
% 84.05/53.67 (v146(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36374, 4169, 36348, 36368, 36364])).
% 84.05/53.67 tff(36376,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB117)) | v145(constB117))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB117)) | v145(constB117))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36377,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB117)) | v145(constB117))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36378,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB117)) | v145(constB117)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36377, 36376])).
% 84.05/53.67 tff(36379,plain,
% 84.05/53.67 (v145(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36378, 4183, 36375])).
% 84.05/53.67 tff(36380,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB117) | (~v145(constB117)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36381,plain,
% 84.05/53.67 (((~v145(constB117)) | v226(constB117)) <=> (v226(constB117) | (~v145(constB117)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36382,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB117)) | v226(constB117))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | (v226(constB117) | (~v145(constB117))))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36381])).
% 84.05/53.67 tff(36383,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB117)) | v226(constB117))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB117) | (~v145(constB117)))),
% 84.05/53.67 inference(transitivity,[status(thm)],[36382, 36380])).
% 84.05/53.67 tff(36384,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | ((~v145(constB117)) | v226(constB117))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36385,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v226(VarCurr))) | v226(constB117) | (~v145(constB117))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36384, 36383])).
% 84.05/53.67 tff(36386,plain,
% 84.05/53.67 (v226(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36385, 4106, 36379])).
% 84.05/53.67 tff(36387,plain,
% 84.05/53.67 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB117)) | (~v226(constB117)) | v168(constB117))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB117)) | (~v226(constB117)) | v168(constB117))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36388,plain,
% 84.05/53.67 (((~v226(constB117)) | v168(constB117) | (~v161(constB117))) <=> ((~v161(constB117)) | (~v226(constB117)) | v168(constB117))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36389,plain,
% 84.05/53.67 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB117)) | v168(constB117) | (~v161(constB117)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB117)) | (~v226(constB117)) | v168(constB117)))),
% 84.05/53.67 inference(monotonicity,[status(thm)],[36388])).
% 84.05/53.67 tff(36390,plain,
% 84.05/53.67 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB117)) | v168(constB117) | (~v161(constB117)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB117)) | (~v226(constB117)) | v168(constB117))),
% 84.05/53.67 inference(transitivity,[status(thm)],[36389, 36387])).
% 84.05/53.67 tff(36391,plain,
% 84.05/53.67 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB117)) | v168(constB117) | (~v161(constB117)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36392,plain,
% 84.05/53.67 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB117)) | (~v226(constB117)) | v168(constB117)),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36391, 36390])).
% 84.05/53.67 tff(36393,plain,
% 84.05/53.67 (~v161(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36392, 3997, 36386, 36360])).
% 84.05/53.67 tff(36394,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB117) | (~v187(constB117)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB117) | (~v187(constB117)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36395,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB117) | (~v187(constB117)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36396,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB117) | (~v187(constB117))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36395, 36394])).
% 84.05/53.67 tff(36397,plain,
% 84.05/53.67 (~v187(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36396, 4015, 36393])).
% 84.05/53.67 tff(36398,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB117) | (~v185(constB117)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB117) | (~v185(constB117)))),
% 84.05/53.67 inference(rewrite,[status(thm)],[])).
% 84.05/53.67 tff(36399,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB117) | (~v185(constB117)))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36400,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB117) | (~v185(constB117))),
% 84.05/53.67 inference(modus_ponens,[status(thm)],[36399, 36398])).
% 84.05/53.67 tff(36401,plain,
% 84.05/53.67 (~v185(constB117)),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36400, 4029, 36397])).
% 84.05/53.67 tff(36402,assumption,(v18(constB118)), introduced(assumption)).
% 84.05/53.67 tff(36403,plain,
% 84.05/53.67 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB118))),
% 84.05/53.67 inference(quant_inst,[status(thm)],[])).
% 84.05/53.67 tff(36404,plain,
% 84.05/53.67 ($false),
% 84.05/53.67 inference(unit_resolution,[status(thm)],[36403, 3600, 36402])).
% 84.05/53.67 tff(36405,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.67 tff(36406,plain,
% 84.05/53.67 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36407,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36408,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36407, 36406])).
% 84.05/53.68 tff(36409,plain,
% 84.05/53.68 (v22(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36408, 3613, 16955])).
% 84.05/53.68 tff(36410,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36411,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36412,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36411, 36410])).
% 84.05/53.68 tff(36413,plain,
% 84.05/53.68 (v18(constB118) | (~v19(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36412, 3627, 36409])).
% 84.05/53.68 tff(36414,plain,
% 84.05/53.68 (~v19(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36413, 36405])).
% 84.05/53.68 tff(36415,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36416,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36417,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36416, 36415])).
% 84.05/53.68 tff(36418,plain,
% 84.05/53.68 (v13(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36417, 3639, 36414])).
% 84.05/53.68 tff(36419,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36420,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36421,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36420, 36419])).
% 84.05/53.68 tff(36422,plain,
% 84.05/53.68 (v9(constB117) | (~v13(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36421, 3653, 16935])).
% 84.05/53.68 tff(36423,plain,
% 84.05/53.68 (v9(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36422, 36418])).
% 84.05/53.68 tff(36424,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36425,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v184(constB117))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36426,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB117) | (~v9(constB117)) | v184(constB117)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36425, 36424])).
% 84.05/53.68 tff(36427,plain,
% 84.05/53.68 ((~v9(constB117)) | v184(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36426, 3668, 16802])).
% 84.05/53.68 tff(36428,plain,
% 84.05/53.68 (v184(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36427, 36423])).
% 84.05/53.68 tff(36429,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB117)) | v183(constB117))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB117)) | v183(constB117))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36430,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB117)) | v183(constB117))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36431,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB117)) | v183(constB117)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36430, 36429])).
% 84.05/53.68 tff(36432,plain,
% 84.05/53.68 (v183(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36431, 3680, 36428])).
% 84.05/53.68 tff(36433,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB117)) | (~v183(constB117)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB117)) | (~v183(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36434,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB117)) | (~v183(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36435,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB117)) | (~v183(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36434, 36433])).
% 84.05/53.68 tff(36436,plain,
% 84.05/53.68 (~v181(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36435, 4247, 36432])).
% 84.05/53.68 tff(36437,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB117) | v185(constB117) | (~v178(constB117)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB117) | v185(constB117) | (~v178(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36438,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB117) | v185(constB117) | (~v178(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36439,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB117) | v185(constB117) | (~v178(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36438, 36437])).
% 84.05/53.68 tff(36440,plain,
% 84.05/53.68 (v185(constB117) | (~v178(constB117))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36439, 4261, 36436])).
% 84.05/53.68 tff(36441,plain,
% 84.05/53.68 (~v178(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36440, 36401])).
% 84.05/53.68 tff(36442,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36443,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36444,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB117, constB118)) | v178(constB117) | (~v180(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36443, 36442])).
% 84.05/53.68 tff(36445,plain,
% 84.05/53.68 (v178(constB117) | (~v180(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36444, 4276, 16935])).
% 84.05/53.68 tff(36446,plain,
% 84.05/53.68 (~v180(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36445, 36441])).
% 84.05/53.68 tff(36447,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB118) | (~v181(constB118)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB118) | (~v181(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36448,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB118) | (~v181(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36449,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB118) | (~v181(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36448, 36447])).
% 84.05/53.68 tff(36450,plain,
% 84.05/53.68 (~v181(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36449, 4291, 36446])).
% 84.05/53.68 tff(36451,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36452,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB118)) | (~v184(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36453,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB118)) | (~v184(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36452, 36451])).
% 84.05/53.68 tff(36454,plain,
% 84.05/53.68 (~v184(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36453, 3901, 16955])).
% 84.05/53.68 tff(36455,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB118) | (~v187(constB118)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB118) | (~v187(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36456,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB118) | (~v187(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36457,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB118) | (~v187(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36456, 36455])).
% 84.05/53.68 tff(36458,plain,
% 84.05/53.68 (~v187(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36457, 4309, 36454])).
% 84.05/53.68 tff(36459,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB118) | (~v185(constB118)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB118) | (~v185(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36460,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB118) | (~v185(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36461,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB118) | (~v185(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36460, 36459])).
% 84.05/53.68 tff(36462,plain,
% 84.05/53.68 (~v185(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36461, 4029, 36458])).
% 84.05/53.68 tff(36463,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB118) | v185(constB118) | (~v178(constB118)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB118) | v185(constB118) | (~v178(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36464,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB118) | v185(constB118) | (~v178(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36465,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB118) | v185(constB118) | (~v178(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36464, 36463])).
% 84.05/53.68 tff(36466,plain,
% 84.05/53.68 (v181(constB118) | (~v178(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36465, 4261, 36462])).
% 84.05/53.68 tff(36467,plain,
% 84.05/53.68 (~v178(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36466, 36450])).
% 84.05/53.68 tff(36468,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36469,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36470,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB118, constB119)) | v178(constB118) | (~v180(constB119))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36469, 36468])).
% 84.05/53.68 tff(36471,plain,
% 84.05/53.68 (v178(constB118) | (~v180(constB119))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36470, 4276, 16997])).
% 84.05/53.68 tff(36472,plain,
% 84.05/53.68 (~v180(constB119)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36471, 36467])).
% 84.05/53.68 tff(36473,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB119) | (~v293(constB119)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB119) | (~v293(constB119)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36474,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | (v180(constB119) | (~v293(constB119)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36475,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v293(VarCurr)))) | v180(constB119) | (~v293(constB119))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36474, 36473])).
% 84.05/53.68 tff(36476,plain,
% 84.05/53.68 (~v293(constB119)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36475, 4413, 36472])).
% 84.05/53.68 tff(36477,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB115, 2)) | v90(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB115, 2)) | v90(constB115, 2))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36478,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB115, 2)) | v90(constB115, 2))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36479,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB115, 2)) | v90(constB115, 2)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36478, 36477])).
% 84.05/53.68 tff(36480,plain,
% 84.05/53.68 (~v88(constB115, 2)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36479, 3360, 16627])).
% 84.05/53.68 tff(36481,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB115, 1)) | v88(constB115, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB115, 1)) | v88(constB115, 1))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36482,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB115, 1)) | v88(constB115, 1))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36483,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB115, 1)) | v88(constB115, 1)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36482, 36481])).
% 84.05/53.68 tff(36484,plain,
% 84.05/53.68 (v88(constB115, 1)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36483, 3727, 16658])).
% 84.05/53.68 tff(36485,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB115, 0)) | v88(constB115, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB115, 0)) | v88(constB115, 0))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36486,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB115, 0)) | v88(constB115, 0))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36487,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB115, 0)) | v88(constB115, 0)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36486, 36485])).
% 84.05/53.68 tff(36488,plain,
% 84.05/53.68 (v88(constB115, 0)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36487, 3447, 16689])).
% 84.05/53.68 tff(36489,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36490,plain,
% 84.05/53.68 ((v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115)) <=> ((~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36491,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | ((~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115)))),
% 84.05/53.68 inference(monotonicity,[status(thm)],[36490])).
% 84.05/53.68 tff(36492,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115))),
% 84.05/53.68 inference(transitivity,[status(thm)],[36491, 36489])).
% 84.05/53.68 tff(36493,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (v88(constB115, 2) | (~v88(constB115, 1)) | (~v88(constB115, 0)) | v141(constB115))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36494,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | (~v88(VarCurr, 0)) | v141(VarCurr))) | (~v88(constB115, 1)) | v88(constB115, 2) | (~v88(constB115, 0)) | v141(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36493, 36492])).
% 84.05/53.68 tff(36495,plain,
% 84.05/53.68 (v141(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36494, 19257, 36488, 36484, 36480])).
% 84.05/53.68 tff(36496,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB115)) | v228(constB115))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB115)) | v228(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36497,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | ((~v141(constB115)) | v228(constB115))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36498,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v228(VarCurr))) | (~v141(constB115)) | v228(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36497, 36496])).
% 84.05/53.68 tff(36499,plain,
% 84.05/53.68 (v228(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36498, 19268, 36495])).
% 84.05/53.68 tff(36500,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB115)) | v227(constB115))) <=> ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB115)) | v227(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36501,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | ((~v228(constB115)) | v227(constB115))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36502,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v228(VarCurr)) | v227(VarCurr))) | (~v228(constB115)) | v227(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36501, 36500])).
% 84.05/53.68 tff(36503,plain,
% 84.05/53.68 (v227(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36502, 3503, 36499])).
% 84.05/53.68 tff(36504,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB115) | (~v227(constB115)))) <=> ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB115) | (~v227(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36505,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | (v226(constB115) | (~v227(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36506,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v226(VarCurr) | (~v227(VarCurr)))) | v226(constB115) | (~v227(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36505, 36504])).
% 84.05/53.68 tff(36507,plain,
% 84.05/53.68 (v226(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36506, 3517, 36503])).
% 84.05/53.68 tff(36508,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB115)) | (~v88(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB115)) | (~v88(constB115, 1)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36509,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB115)) | (~v88(constB115, 1)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36510,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB115)) | (~v88(constB115, 1))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36509, 36508])).
% 84.05/53.68 tff(36511,plain,
% 84.05/53.68 (~v140(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36510, 3969, 36484])).
% 84.05/53.68 tff(36512,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB115)) | (~v88(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB115)) | (~v88(constB115, 0)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36513,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB115)) | (~v88(constB115, 0)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36514,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB115)) | (~v88(constB115, 0))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36513, 36512])).
% 84.05/53.68 tff(36515,plain,
% 84.05/53.68 (~v139(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36514, 4059, 36488])).
% 84.05/53.68 tff(36516,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36517,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36518,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36517, 36516])).
% 84.05/53.68 tff(36519,plain,
% 84.05/53.68 (~v168(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36518, 3983, 36515, 36511])).
% 84.05/53.68 tff(36520,plain,
% 84.05/53.68 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB115)) | (~v226(constB115)) | v168(constB115))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36521,plain,
% 84.05/53.68 (((~v226(constB115)) | v168(constB115) | (~v161(constB115))) <=> ((~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36522,plain,
% 84.05/53.68 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB115)) | v168(constB115) | (~v161(constB115)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB115)) | (~v226(constB115)) | v168(constB115)))),
% 84.05/53.68 inference(monotonicity,[status(thm)],[36521])).
% 84.05/53.68 tff(36523,plain,
% 84.05/53.68 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB115)) | v168(constB115) | (~v161(constB115)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115))),
% 84.05/53.68 inference(transitivity,[status(thm)],[36522, 36520])).
% 84.05/53.68 tff(36524,plain,
% 84.05/53.68 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB115)) | v168(constB115) | (~v161(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36525,plain,
% 84.05/53.68 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB115)) | (~v226(constB115)) | v168(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36524, 36523])).
% 84.05/53.68 tff(36526,plain,
% 84.05/53.68 ((~v161(constB115)) | (~v226(constB115))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36525, 3997, 36519])).
% 84.05/53.68 tff(36527,plain,
% 84.05/53.68 (~v161(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36526, 36507])).
% 84.05/53.68 tff(36528,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB115) | (~v187(constB115)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB115) | (~v187(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36529,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB115) | (~v187(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36530,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB115) | (~v187(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36529, 36528])).
% 84.05/53.68 tff(36531,plain,
% 84.05/53.68 (~v187(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36530, 4015, 36527])).
% 84.05/53.68 tff(36532,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB115) | (~v185(constB115)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB115) | (~v185(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36533,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB115) | (~v185(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36534,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB115) | (~v185(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36533, 36532])).
% 84.05/53.68 tff(36535,plain,
% 84.05/53.68 (~v185(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36534, 4029, 36531])).
% 84.05/53.68 tff(36536,assumption,(v18(constB116)), introduced(assumption)).
% 84.05/53.68 tff(36537,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB116))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36538,plain,
% 84.05/53.68 ($false),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36537, 3600, 36536])).
% 84.05/53.68 tff(36539,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.68 tff(36540,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36541,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36542,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36541, 36540])).
% 84.05/53.68 tff(36543,plain,
% 84.05/53.68 (v22(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36542, 3613, 16763])).
% 84.05/53.68 tff(36544,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36545,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36546,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36545, 36544])).
% 84.05/53.68 tff(36547,plain,
% 84.05/53.68 (v18(constB116) | (~v19(constB116))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36546, 3627, 36543])).
% 84.05/53.68 tff(36548,plain,
% 84.05/53.68 (~v19(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36547, 36539])).
% 84.05/53.68 tff(36549,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36550,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36551,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36550, 36549])).
% 84.05/53.68 tff(36552,plain,
% 84.05/53.68 (v13(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36551, 3639, 36548])).
% 84.05/53.68 tff(36553,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36554,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36555,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36554, 36553])).
% 84.05/53.68 tff(36556,plain,
% 84.05/53.68 (v9(constB115) | (~v13(constB116))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36555, 3653, 16743])).
% 84.05/53.68 tff(36557,plain,
% 84.05/53.68 (v9(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36556, 36552])).
% 84.05/53.68 tff(36558,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v184(constB115))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB115) | (~v9(constB115)) | v184(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36559,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v184(constB115))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36560,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB115) | (~v9(constB115)) | v184(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36559, 36558])).
% 84.05/53.68 tff(36561,plain,
% 84.05/53.68 ((~v9(constB115)) | v184(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36560, 3668, 16603])).
% 84.05/53.68 tff(36562,plain,
% 84.05/53.68 (v184(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36561, 36557])).
% 84.05/53.68 tff(36563,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB115)) | v183(constB115))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB115)) | v183(constB115))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36564,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB115)) | v183(constB115))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36565,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB115)) | v183(constB115)),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36564, 36563])).
% 84.05/53.68 tff(36566,plain,
% 84.05/53.68 (v183(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36565, 3680, 36562])).
% 84.05/53.68 tff(36567,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB115)) | (~v183(constB115)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB115)) | (~v183(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36568,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB115)) | (~v183(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36569,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB115)) | (~v183(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36568, 36567])).
% 84.05/53.68 tff(36570,plain,
% 84.05/53.68 (~v181(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36569, 4247, 36566])).
% 84.05/53.68 tff(36571,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB115) | v185(constB115) | (~v178(constB115)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB115) | v185(constB115) | (~v178(constB115)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36572,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB115) | v185(constB115) | (~v178(constB115)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36573,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB115) | v185(constB115) | (~v178(constB115))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36572, 36571])).
% 84.05/53.68 tff(36574,plain,
% 84.05/53.68 (v185(constB115) | (~v178(constB115))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36573, 4261, 36570])).
% 84.05/53.68 tff(36575,plain,
% 84.05/53.68 (~v178(constB115)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36574, 36535])).
% 84.05/53.68 tff(36576,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36577,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36578,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB115, constB116)) | v178(constB115) | (~v180(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36577, 36576])).
% 84.05/53.68 tff(36579,plain,
% 84.05/53.68 (v178(constB115) | (~v180(constB116))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36578, 4276, 16743])).
% 84.05/53.68 tff(36580,plain,
% 84.05/53.68 (~v180(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36579, 36575])).
% 84.05/53.68 tff(36581,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB116) | (~v181(constB116)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB116) | (~v181(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36582,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB116) | (~v181(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36583,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB116) | (~v181(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36582, 36581])).
% 84.05/53.68 tff(36584,plain,
% 84.05/53.68 (~v181(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36583, 4291, 36580])).
% 84.05/53.68 tff(36585,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB116)) | (~v184(constB116)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB116)) | (~v184(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36586,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB116)) | (~v184(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36587,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB116)) | (~v184(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36586, 36585])).
% 84.05/53.68 tff(36588,plain,
% 84.05/53.68 (~v184(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36587, 3901, 16763])).
% 84.05/53.68 tff(36589,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB116) | (~v187(constB116)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB116) | (~v187(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36590,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB116) | (~v187(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36591,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB116) | (~v187(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36590, 36589])).
% 84.05/53.68 tff(36592,plain,
% 84.05/53.68 (~v187(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36591, 4309, 36588])).
% 84.05/53.68 tff(36593,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB116) | (~v185(constB116)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB116) | (~v185(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36594,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB116) | (~v185(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36595,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB116) | (~v185(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36594, 36593])).
% 84.05/53.68 tff(36596,plain,
% 84.05/53.68 (~v185(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36595, 4029, 36592])).
% 84.05/53.68 tff(36597,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB116) | v185(constB116) | (~v178(constB116)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB116) | v185(constB116) | (~v178(constB116)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36598,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB116) | v185(constB116) | (~v178(constB116)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36599,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB116) | v185(constB116) | (~v178(constB116))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36598, 36597])).
% 84.05/53.68 tff(36600,plain,
% 84.05/53.68 (v181(constB116) | (~v178(constB116))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36599, 4261, 36596])).
% 84.05/53.68 tff(36601,plain,
% 84.05/53.68 (~v178(constB116)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36600, 36584])).
% 84.05/53.68 tff(36602,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36603,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36604,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB116, constB117)) | v178(constB116) | (~v180(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36603, 36602])).
% 84.05/53.68 tff(36605,plain,
% 84.05/53.68 (v178(constB116) | (~v180(constB117))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36604, 4276, 16805])).
% 84.05/53.68 tff(36606,plain,
% 84.05/53.68 (~v180(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36605, 36601])).
% 84.05/53.68 tff(36607,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB117) | (~v215(constB117)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB117) | (~v215(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36608,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB117) | (~v215(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36609,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB117) | (~v215(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36608, 36607])).
% 84.05/53.68 tff(36610,plain,
% 84.05/53.68 (~v215(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36609, 4427, 36606])).
% 84.05/53.68 tff(36611,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB117)) | (~v214(constB117)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB117)) | (~v214(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36612,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB117)) | (~v214(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36613,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB117)) | (~v214(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36612, 36611])).
% 84.05/53.68 tff(36614,plain,
% 84.05/53.68 (~v214(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36613, 4593, 36432])).
% 84.05/53.68 tff(36615,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB117) | v215(constB117) | (~v211(constB117)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB117) | v215(constB117) | (~v211(constB117)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36616,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB117) | v215(constB117) | (~v211(constB117)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36617,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB117) | v215(constB117) | (~v211(constB117))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36616, 36615])).
% 84.05/53.68 tff(36618,plain,
% 84.05/53.68 (v215(constB117) | (~v211(constB117))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36617, 4607, 36614])).
% 84.05/53.68 tff(36619,plain,
% 84.05/53.68 (~v211(constB117)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36618, 36610])).
% 84.05/53.68 tff(36620,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36621,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36622,plain,
% 84.05/53.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB117, constB118)) | v211(constB117) | (~v213(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36621, 36620])).
% 84.05/53.68 tff(36623,plain,
% 84.05/53.68 (v211(constB117) | (~v213(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36622, 4622, 16935])).
% 84.05/53.68 tff(36624,plain,
% 84.05/53.68 (~v213(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36623, 36619])).
% 84.05/53.68 tff(36625,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB118) | (~v214(constB118)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB118) | (~v214(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36626,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB118) | (~v214(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36627,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB118) | (~v214(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36626, 36625])).
% 84.05/53.68 tff(36628,plain,
% 84.05/53.68 (~v214(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36627, 4637, 36624])).
% 84.05/53.68 tff(36629,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB118) | (~v217(constB118)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB118) | (~v217(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36630,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB118) | (~v217(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36631,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB118) | (~v217(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36630, 36629])).
% 84.05/53.68 tff(36632,plain,
% 84.05/53.68 (~v217(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36631, 4651, 36454])).
% 84.05/53.68 tff(36633,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB118) | (~v216(constB118)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB118) | (~v216(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36634,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB118) | (~v216(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36635,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB118) | (~v216(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36634, 36633])).
% 84.05/53.68 tff(36636,plain,
% 84.05/53.68 (~v216(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36635, 4565, 36632])).
% 84.05/53.68 tff(36637,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB118) | (~v215(constB118)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB118) | (~v215(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36638,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB118) | (~v215(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36639,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB118) | (~v215(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36638, 36637])).
% 84.05/53.68 tff(36640,plain,
% 84.05/53.68 (~v215(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36639, 4579, 36636])).
% 84.05/53.68 tff(36641,plain,
% 84.05/53.68 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB118) | v215(constB118) | (~v211(constB118)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB118) | v215(constB118) | (~v211(constB118)))),
% 84.05/53.68 inference(rewrite,[status(thm)],[])).
% 84.05/53.68 tff(36642,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB118) | v215(constB118) | (~v211(constB118)))),
% 84.05/53.68 inference(quant_inst,[status(thm)],[])).
% 84.05/53.68 tff(36643,plain,
% 84.05/53.68 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB118) | v215(constB118) | (~v211(constB118))),
% 84.05/53.68 inference(modus_ponens,[status(thm)],[36642, 36641])).
% 84.05/53.68 tff(36644,plain,
% 84.05/53.68 (v214(constB118) | (~v211(constB118))),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36643, 4607, 36640])).
% 84.05/53.68 tff(36645,plain,
% 84.05/53.68 (~v211(constB118)),
% 84.05/53.68 inference(unit_resolution,[status(thm)],[36644, 36628])).
% 84.05/53.68 tff(36646,plain,
% 84.05/53.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36647,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36648,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB118, constB119)) | v211(constB118) | (~v213(constB119))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36647, 36646])).
% 84.05/53.69 tff(36649,plain,
% 84.05/53.69 (v211(constB118) | (~v213(constB119))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36648, 4622, 16997])).
% 84.05/53.69 tff(36650,plain,
% 84.05/53.69 (~v213(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36649, 36645])).
% 84.05/53.69 tff(36651,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB119) | (~v297(constB119)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB119) | (~v297(constB119)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36652,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | (v213(constB119) | (~v297(constB119)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36653,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v297(VarCurr)))) | v213(constB119) | (~v297(constB119))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36652, 36651])).
% 84.05/53.69 tff(36654,plain,
% 84.05/53.69 (~v297(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36653, 4767, 36650])).
% 84.05/53.69 tff(36655,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB119) | v297(constB119) | (~v292(constB119)))) <=> ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB119) | v297(constB119) | (~v292(constB119)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36656,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | (v293(constB119) | v297(constB119) | (~v292(constB119)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36657,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v293(VarCurr) | v297(VarCurr) | (~v292(VarCurr)))) | v293(constB119) | v297(constB119) | (~v292(constB119))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36656, 36655])).
% 84.05/53.69 tff(36658,plain,
% 84.05/53.69 (v293(constB119) | (~v292(constB119))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36657, 4781, 36654])).
% 84.05/53.69 tff(36659,plain,
% 84.05/53.69 (~v292(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36658, 36476])).
% 84.05/53.69 tff(36660,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36661,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB113)) | (~v88(constB113, 1)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36662,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB113)) | (~v88(constB113, 1))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36661, 36660])).
% 84.05/53.69 tff(36663,plain,
% 84.05/53.69 (~v139(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36662, 3958, 15876])).
% 84.05/53.69 tff(36664,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36665,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB113)) | (~v88(constB113, 1)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36666,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB113)) | (~v88(constB113, 1))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36665, 36664])).
% 84.05/53.69 tff(36667,plain,
% 84.05/53.69 (~v140(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36666, 3969, 15876])).
% 84.05/53.69 tff(36668,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36669,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36670,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36669, 36668])).
% 84.05/53.69 tff(36671,plain,
% 84.05/53.69 (~v168(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36670, 3983, 36667, 36663])).
% 84.05/53.69 tff(36672,plain,
% 84.05/53.69 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB113)) | v168(constB113) | (~v226(constB113)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | v168(constB113) | (~v226(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36673,plain,
% 84.05/53.69 (((~v226(constB113)) | v168(constB113) | (~v161(constB113))) <=> ((~v161(constB113)) | v168(constB113) | (~v226(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36674,plain,
% 84.05/53.69 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB113)) | v168(constB113) | (~v161(constB113)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v161(constB113)) | v168(constB113) | (~v226(constB113))))),
% 84.05/53.69 inference(monotonicity,[status(thm)],[36673])).
% 84.05/53.69 tff(36675,plain,
% 84.05/53.69 (((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB113)) | v168(constB113) | (~v161(constB113)))) <=> ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | v168(constB113) | (~v226(constB113)))),
% 84.05/53.69 inference(transitivity,[status(thm)],[36674, 36672])).
% 84.05/53.69 tff(36676,plain,
% 84.05/53.69 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | ((~v226(constB113)) | v168(constB113) | (~v161(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36677,plain,
% 84.05/53.69 ((~![VarNext: state_type] : ((~v226(VarNext)) | v168(VarNext) | (~v161(VarNext)))) | (~v161(constB113)) | v168(constB113) | (~v226(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36676, 36675])).
% 84.05/53.69 tff(36678,plain,
% 84.05/53.69 ((~v161(constB113)) | (~v226(constB113))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36677, 3997, 36671])).
% 84.05/53.69 tff(36679,plain,
% 84.05/53.69 (~v161(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36678, 15926])).
% 84.05/53.69 tff(36680,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB113) | (~v187(constB113)))) <=> ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB113) | (~v187(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36681,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | (v161(constB113) | (~v187(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36682,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v161(VarCurr) | (~v187(VarCurr)))) | v161(constB113) | (~v187(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36681, 36680])).
% 84.05/53.69 tff(36683,plain,
% 84.05/53.69 (~v187(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36682, 4015, 36679])).
% 84.05/53.69 tff(36684,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36685,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB113) | (~v185(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36686,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB113) | (~v185(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36685, 36684])).
% 84.05/53.69 tff(36687,plain,
% 84.05/53.69 (~v185(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36686, 4029, 36683])).
% 84.05/53.69 tff(36688,assumption,(v18(constB114)), introduced(assumption)).
% 84.05/53.69 tff(36689,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB114))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36690,plain,
% 84.05/53.69 ($false),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36689, 3600, 36688])).
% 84.05/53.69 tff(36691,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 84.05/53.69 tff(36692,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36693,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36694,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36693, 36692])).
% 84.05/53.69 tff(36695,plain,
% 84.05/53.69 (v22(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36694, 3613, 16564])).
% 84.05/53.69 tff(36696,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36697,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36698,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36697, 36696])).
% 84.05/53.69 tff(36699,plain,
% 84.05/53.69 (v18(constB114) | (~v19(constB114))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36698, 3627, 36695])).
% 84.05/53.69 tff(36700,plain,
% 84.05/53.69 (~v19(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36699, 36691])).
% 84.05/53.69 tff(36701,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36702,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36703,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36702, 36701])).
% 84.05/53.69 tff(36704,plain,
% 84.05/53.69 (v13(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36703, 3639, 36700])).
% 84.05/53.69 tff(36705,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36706,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36707,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36706, 36705])).
% 84.05/53.69 tff(36708,plain,
% 84.05/53.69 (v9(constB113) | (~v13(constB114))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36707, 3653, 16544])).
% 84.05/53.69 tff(36709,plain,
% 84.05/53.69 (v9(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36708, 36704])).
% 84.05/53.69 tff(36710,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36711,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v184(constB113))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36712,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB113) | (~v9(constB113)) | v184(constB113)),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36711, 36710])).
% 84.05/53.69 tff(36713,plain,
% 84.05/53.69 ((~v9(constB113)) | v184(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36712, 3668, 15775])).
% 84.05/53.69 tff(36714,plain,
% 84.05/53.69 (v184(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36713, 36709])).
% 84.05/53.69 tff(36715,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB113) | (~v184(constB113)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v184(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36716,plain,
% 84.05/53.69 (((~v184(constB113)) | v183(constB113)) <=> (v183(constB113) | (~v184(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36717,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB113)) | v183(constB113))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB113) | (~v184(constB113))))),
% 84.05/53.69 inference(monotonicity,[status(thm)],[36716])).
% 84.05/53.69 tff(36718,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB113)) | v183(constB113))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v184(constB113)))),
% 84.05/53.69 inference(transitivity,[status(thm)],[36717, 36715])).
% 84.05/53.69 tff(36719,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB113)) | v183(constB113))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36720,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB113) | (~v184(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36719, 36718])).
% 84.05/53.69 tff(36721,plain,
% 84.05/53.69 (v183(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36720, 3680, 36714])).
% 84.05/53.69 tff(36722,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB113)) | (~v183(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36723,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB113)) | (~v183(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36724,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB113)) | (~v183(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36723, 36722])).
% 84.05/53.69 tff(36725,plain,
% 84.05/53.69 (~v181(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36724, 4247, 36721])).
% 84.05/53.69 tff(36726,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36727,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB113) | v185(constB113) | (~v178(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36728,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB113) | v185(constB113) | (~v178(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36727, 36726])).
% 84.05/53.69 tff(36729,plain,
% 84.05/53.69 (v185(constB113) | (~v178(constB113))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36728, 4261, 36725])).
% 84.05/53.69 tff(36730,plain,
% 84.05/53.69 (~v178(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36729, 36687])).
% 84.05/53.69 tff(36731,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36732,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36733,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB113, constB114)) | v178(constB113) | (~v180(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36732, 36731])).
% 84.05/53.69 tff(36734,plain,
% 84.05/53.69 (v178(constB113) | (~v180(constB114))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36733, 4276, 16544])).
% 84.05/53.69 tff(36735,plain,
% 84.05/53.69 (~v180(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36734, 36730])).
% 84.05/53.69 tff(36736,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36737,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB114) | (~v181(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36738,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB114) | (~v181(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36737, 36736])).
% 84.05/53.69 tff(36739,plain,
% 84.05/53.69 (~v181(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36738, 4291, 36735])).
% 84.05/53.69 tff(36740,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36741,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB114)) | (~v184(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36742,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB114)) | (~v184(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36741, 36740])).
% 84.05/53.69 tff(36743,plain,
% 84.05/53.69 (~v184(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36742, 3901, 16564])).
% 84.05/53.69 tff(36744,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36745,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB114) | (~v187(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36746,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB114) | (~v187(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36745, 36744])).
% 84.05/53.69 tff(36747,plain,
% 84.05/53.69 (~v187(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36746, 4309, 36743])).
% 84.05/53.69 tff(36748,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36749,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB114) | (~v185(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36750,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB114) | (~v185(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36749, 36748])).
% 84.05/53.69 tff(36751,plain,
% 84.05/53.69 (~v185(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36750, 4029, 36747])).
% 84.05/53.69 tff(36752,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36753,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB114) | v185(constB114) | (~v178(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36754,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB114) | v185(constB114) | (~v178(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36753, 36752])).
% 84.05/53.69 tff(36755,plain,
% 84.05/53.69 (v181(constB114) | (~v178(constB114))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36754, 4261, 36751])).
% 84.05/53.69 tff(36756,plain,
% 84.05/53.69 (~v178(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36755, 36739])).
% 84.05/53.69 tff(36757,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36758,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36759,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB114, constB115)) | v178(constB114) | (~v180(constB115))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36758, 36757])).
% 84.05/53.69 tff(36760,plain,
% 84.05/53.69 (v178(constB114) | (~v180(constB115))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36759, 4276, 16606])).
% 84.05/53.69 tff(36761,plain,
% 84.05/53.69 (~v180(constB115)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36760, 36756])).
% 84.05/53.69 tff(36762,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB115) | (~v215(constB115)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB115) | (~v215(constB115)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36763,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | (v180(constB115) | (~v215(constB115)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36764,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v215(VarCurr)))) | v180(constB115) | (~v215(constB115))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36763, 36762])).
% 84.05/53.69 tff(36765,plain,
% 84.05/53.69 (~v215(constB115)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36764, 4427, 36761])).
% 84.05/53.69 tff(36766,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB115)) | (~v214(constB115)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB115)) | (~v214(constB115)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36767,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | ((~v183(constB115)) | (~v214(constB115)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36768,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v214(VarCurr)))) | (~v183(constB115)) | (~v214(constB115))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36767, 36766])).
% 84.05/53.69 tff(36769,plain,
% 84.05/53.69 (~v214(constB115)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36768, 4593, 36566])).
% 84.05/53.69 tff(36770,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB115) | v215(constB115) | (~v211(constB115)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB115) | v215(constB115) | (~v211(constB115)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36771,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB115) | v215(constB115) | (~v211(constB115)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36772,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB115) | v215(constB115) | (~v211(constB115))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36771, 36770])).
% 84.05/53.69 tff(36773,plain,
% 84.05/53.69 (v215(constB115) | (~v211(constB115))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36772, 4607, 36769])).
% 84.05/53.69 tff(36774,plain,
% 84.05/53.69 (~v211(constB115)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36773, 36765])).
% 84.05/53.69 tff(36775,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36776,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36777,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB115, constB116)) | v211(constB115) | (~v213(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36776, 36775])).
% 84.05/53.69 tff(36778,plain,
% 84.05/53.69 (v211(constB115) | (~v213(constB116))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36777, 4622, 16743])).
% 84.05/53.69 tff(36779,plain,
% 84.05/53.69 (~v213(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36778, 36774])).
% 84.05/53.69 tff(36780,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB116) | (~v214(constB116)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB116) | (~v214(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36781,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | (v213(constB116) | (~v214(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36782,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v214(VarCurr)))) | v213(constB116) | (~v214(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36781, 36780])).
% 84.05/53.69 tff(36783,plain,
% 84.05/53.69 (~v214(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36782, 4637, 36779])).
% 84.05/53.69 tff(36784,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB116) | (~v217(constB116)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB116) | (~v217(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36785,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | (v184(constB116) | (~v217(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36786,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v217(VarCurr)))) | v184(constB116) | (~v217(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36785, 36784])).
% 84.05/53.69 tff(36787,plain,
% 84.05/53.69 (~v217(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36786, 4651, 36588])).
% 84.05/53.69 tff(36788,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB116) | (~v216(constB116)))) <=> ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB116) | (~v216(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36789,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | (v217(constB116) | (~v216(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36790,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v217(VarCurr) | (~v216(VarCurr)))) | v217(constB116) | (~v216(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36789, 36788])).
% 84.05/53.69 tff(36791,plain,
% 84.05/53.69 (~v216(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36790, 4565, 36787])).
% 84.05/53.69 tff(36792,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB116) | (~v215(constB116)))) <=> ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB116) | (~v215(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36793,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | (v216(constB116) | (~v215(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36794,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v216(VarCurr) | (~v215(VarCurr)))) | v216(constB116) | (~v215(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36793, 36792])).
% 84.05/53.69 tff(36795,plain,
% 84.05/53.69 (~v215(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36794, 4579, 36791])).
% 84.05/53.69 tff(36796,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB116) | v215(constB116) | (~v211(constB116)))) <=> ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB116) | v215(constB116) | (~v211(constB116)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36797,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | (v214(constB116) | v215(constB116) | (~v211(constB116)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36798,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v214(VarCurr) | v215(VarCurr) | (~v211(VarCurr)))) | v214(constB116) | v215(constB116) | (~v211(constB116))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36797, 36796])).
% 84.05/53.69 tff(36799,plain,
% 84.05/53.69 (v214(constB116) | (~v211(constB116))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36798, 4607, 36795])).
% 84.05/53.69 tff(36800,plain,
% 84.05/53.69 (~v211(constB116)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36799, 36783])).
% 84.05/53.69 tff(36801,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36802,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | ((~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36803,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v211(VarCurr) | (~v213(VarNext)))) | (~nextState(constB116, constB117)) | v211(constB116) | (~v213(constB117))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36802, 36801])).
% 84.05/53.69 tff(36804,plain,
% 84.05/53.69 (v211(constB116) | (~v213(constB117))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36803, 4622, 16805])).
% 84.05/53.69 tff(36805,plain,
% 84.05/53.69 (~v213(constB117)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36804, 36800])).
% 84.05/53.69 tff(36806,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB117) | (~v245(constB117)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB117) | (~v245(constB117)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36807,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB117) | (~v245(constB117)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36808,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB117) | (~v245(constB117))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36807, 36806])).
% 84.05/53.69 tff(36809,plain,
% 84.05/53.69 (~v245(constB117)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36808, 4796, 36805])).
% 84.05/53.69 tff(36810,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB117)) | (~v244(constB117)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB117)) | (~v244(constB117)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36811,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB117)) | (~v244(constB117)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36812,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB117)) | (~v244(constB117))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36811, 36810])).
% 84.05/53.69 tff(36813,plain,
% 84.05/53.69 (~v244(constB117)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36812, 4891, 36432])).
% 84.05/53.69 tff(36814,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB117) | v245(constB117) | (~v241(constB117)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB117) | v245(constB117) | (~v241(constB117)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36815,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB117) | v245(constB117) | (~v241(constB117)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36816,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB117) | v245(constB117) | (~v241(constB117))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36815, 36814])).
% 84.05/53.69 tff(36817,plain,
% 84.05/53.69 (v245(constB117) | (~v241(constB117))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36816, 4905, 36813])).
% 84.05/53.69 tff(36818,plain,
% 84.05/53.69 (~v241(constB117)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36817, 36809])).
% 84.05/53.69 tff(36819,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36820,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36821,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB117, constB118)) | v241(constB117) | (~v243(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36820, 36819])).
% 84.05/53.69 tff(36822,plain,
% 84.05/53.69 (v241(constB117) | (~v243(constB118))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36821, 4920, 16935])).
% 84.05/53.69 tff(36823,plain,
% 84.05/53.69 (~v243(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36822, 36818])).
% 84.05/53.69 tff(36824,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB118) | (~v244(constB118)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB118) | (~v244(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36825,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB118) | (~v244(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36826,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB118) | (~v244(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36825, 36824])).
% 84.05/53.69 tff(36827,plain,
% 84.05/53.69 (~v244(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36826, 4935, 36823])).
% 84.05/53.69 tff(36828,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB118) | (~v247(constB118)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB118) | (~v247(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36829,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB118) | (~v247(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36830,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB118) | (~v247(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36829, 36828])).
% 84.05/53.69 tff(36831,plain,
% 84.05/53.69 (~v247(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36830, 4949, 36454])).
% 84.05/53.69 tff(36832,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB118) | (~v246(constB118)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB118) | (~v246(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36833,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB118) | (~v246(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36834,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB118) | (~v246(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36833, 36832])).
% 84.05/53.69 tff(36835,plain,
% 84.05/53.69 (~v246(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36834, 4863, 36831])).
% 84.05/53.69 tff(36836,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB118) | (~v245(constB118)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB118) | (~v245(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36837,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB118) | (~v245(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36838,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB118) | (~v245(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36837, 36836])).
% 84.05/53.69 tff(36839,plain,
% 84.05/53.69 (~v245(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36838, 4877, 36835])).
% 84.05/53.69 tff(36840,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB118) | v245(constB118) | (~v241(constB118)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB118) | v245(constB118) | (~v241(constB118)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36841,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB118) | v245(constB118) | (~v241(constB118)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36842,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB118) | v245(constB118) | (~v241(constB118))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36841, 36840])).
% 84.05/53.69 tff(36843,plain,
% 84.05/53.69 (v244(constB118) | (~v241(constB118))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36842, 4905, 36839])).
% 84.05/53.69 tff(36844,plain,
% 84.05/53.69 (~v241(constB118)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36843, 36827])).
% 84.05/53.69 tff(36845,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36846,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36847,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB118, constB119)) | v241(constB118) | (~v243(constB119))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36846, 36845])).
% 84.05/53.69 tff(36848,plain,
% 84.05/53.69 (v241(constB118) | (~v243(constB119))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36847, 4920, 16997])).
% 84.05/53.69 tff(36849,plain,
% 84.05/53.69 (~v243(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36848, 36844])).
% 84.05/53.69 tff(36850,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB119) | (~v302(constB119)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB119) | (~v302(constB119)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36851,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | (v243(constB119) | (~v302(constB119)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36852,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v302(VarCurr)))) | v243(constB119) | (~v302(constB119))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36851, 36850])).
% 84.05/53.69 tff(36853,plain,
% 84.05/53.69 (~v302(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36852, 5060, 36849])).
% 84.05/53.69 tff(36854,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB119) | v292(constB119) | v290(constB119))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB119) | v292(constB119) | v290(constB119))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36855,plain,
% 84.05/53.69 ((v292(constB119) | v302(constB119) | v290(constB119)) <=> (v302(constB119) | v292(constB119) | v290(constB119))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36856,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB119) | v302(constB119) | v290(constB119))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v302(constB119) | v292(constB119) | v290(constB119)))),
% 84.05/53.69 inference(monotonicity,[status(thm)],[36855])).
% 84.05/53.69 tff(36857,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB119) | v302(constB119) | v290(constB119))) <=> ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB119) | v292(constB119) | v290(constB119))),
% 84.05/53.69 inference(transitivity,[status(thm)],[36856, 36854])).
% 84.05/53.69 tff(36858,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | (v292(constB119) | v302(constB119) | v290(constB119))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36859,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v292(VarCurr) | v302(VarCurr) | v290(VarCurr))) | v302(constB119) | v292(constB119) | v290(constB119)),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36858, 36857])).
% 84.05/53.69 tff(36860,plain,
% 84.05/53.69 (v292(constB119) | v290(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36859, 5074, 36853])).
% 84.05/53.69 tff(36861,plain,
% 84.05/53.69 (v290(constB119)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36860, 36659])).
% 84.05/53.69 tff(36862,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB113) | (~v245(constB113)))) <=> ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB113) | (~v245(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36863,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | (v213(constB113) | (~v245(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36864,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v213(VarCurr) | (~v245(VarCurr)))) | v213(constB113) | (~v245(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36863, 36862])).
% 84.05/53.69 tff(36865,plain,
% 84.05/53.69 (~v245(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36864, 4796, 16194])).
% 84.05/53.69 tff(36866,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB113)) | (~v244(constB113)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB113)) | (~v244(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36867,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | ((~v183(constB113)) | (~v244(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36868,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v244(VarCurr)))) | (~v183(constB113)) | (~v244(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36867, 36866])).
% 84.05/53.69 tff(36869,plain,
% 84.05/53.69 (~v244(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36868, 4891, 36721])).
% 84.05/53.69 tff(36870,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB113) | v245(constB113) | (~v241(constB113)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB113) | v245(constB113) | (~v241(constB113)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36871,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB113) | v245(constB113) | (~v241(constB113)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36872,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB113) | v245(constB113) | (~v241(constB113))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36871, 36870])).
% 84.05/53.69 tff(36873,plain,
% 84.05/53.69 (v245(constB113) | (~v241(constB113))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36872, 4905, 36869])).
% 84.05/53.69 tff(36874,plain,
% 84.05/53.69 (~v241(constB113)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36873, 36865])).
% 84.05/53.69 tff(36875,plain,
% 84.05/53.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB113, constB114)) | v241(constB113) | (~v243(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB113, constB114)) | v241(constB113) | (~v243(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36876,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB113, constB114)) | v241(constB113) | (~v243(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36877,plain,
% 84.05/53.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB113, constB114)) | v241(constB113) | (~v243(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36876, 36875])).
% 84.05/53.69 tff(36878,plain,
% 84.05/53.69 (v241(constB113) | (~v243(constB114))),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36877, 4920, 16544])).
% 84.05/53.69 tff(36879,plain,
% 84.05/53.69 (~v243(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36878, 36874])).
% 84.05/53.69 tff(36880,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB114) | (~v244(constB114)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB114) | (~v244(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36881,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | (v243(constB114) | (~v244(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36882,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v244(VarCurr)))) | v243(constB114) | (~v244(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36881, 36880])).
% 84.05/53.69 tff(36883,plain,
% 84.05/53.69 (~v244(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36882, 4935, 36879])).
% 84.05/53.69 tff(36884,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB114) | (~v247(constB114)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB114) | (~v247(constB114)))),
% 84.05/53.69 inference(rewrite,[status(thm)],[])).
% 84.05/53.69 tff(36885,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | (v184(constB114) | (~v247(constB114)))),
% 84.05/53.69 inference(quant_inst,[status(thm)],[])).
% 84.05/53.69 tff(36886,plain,
% 84.05/53.69 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v247(VarCurr)))) | v184(constB114) | (~v247(constB114))),
% 84.05/53.69 inference(modus_ponens,[status(thm)],[36885, 36884])).
% 84.05/53.69 tff(36887,plain,
% 84.05/53.69 (~v247(constB114)),
% 84.05/53.69 inference(unit_resolution,[status(thm)],[36886, 4949, 36743])).
% 84.05/53.69 tff(36888,plain,
% 84.05/53.69 (((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB114) | (~v246(constB114)))) <=> ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB114) | (~v246(constB114)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36889,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | (v247(constB114) | (~v246(constB114)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36890,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v247(VarCurr) | (~v246(VarCurr)))) | v247(constB114) | (~v246(constB114))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36889, 36888])).
% 84.05/53.70 tff(36891,plain,
% 84.05/53.70 (~v246(constB114)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36890, 4863, 36887])).
% 84.05/53.70 tff(36892,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB114) | (~v245(constB114)))) <=> ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB114) | (~v245(constB114)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36893,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | (v246(constB114) | (~v245(constB114)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36894,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v246(VarCurr) | (~v245(VarCurr)))) | v246(constB114) | (~v245(constB114))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36893, 36892])).
% 84.05/53.70 tff(36895,plain,
% 84.05/53.70 (~v245(constB114)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36894, 4877, 36891])).
% 84.05/53.70 tff(36896,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB114) | v245(constB114) | (~v241(constB114)))) <=> ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB114) | v245(constB114) | (~v241(constB114)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36897,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | (v244(constB114) | v245(constB114) | (~v241(constB114)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36898,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v244(VarCurr) | v245(VarCurr) | (~v241(VarCurr)))) | v244(constB114) | v245(constB114) | (~v241(constB114))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36897, 36896])).
% 84.05/53.70 tff(36899,plain,
% 84.05/53.70 (v244(constB114) | (~v241(constB114))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36898, 4905, 36895])).
% 84.05/53.70 tff(36900,plain,
% 84.05/53.70 (~v241(constB114)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36899, 36883])).
% 84.05/53.70 tff(36901,plain,
% 84.05/53.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB114, constB115)) | v241(constB114) | (~v243(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB114, constB115)) | v241(constB114) | (~v243(constB115)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36902,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | ((~nextState(constB114, constB115)) | v241(constB114) | (~v243(constB115)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36903,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v241(VarCurr) | (~v243(VarNext)))) | (~nextState(constB114, constB115)) | v241(constB114) | (~v243(constB115))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36902, 36901])).
% 84.05/53.70 tff(36904,plain,
% 84.05/53.70 (v241(constB114) | (~v243(constB115))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36903, 4920, 16606])).
% 84.05/53.70 tff(36905,plain,
% 84.05/53.70 (~v243(constB115)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36904, 36900])).
% 84.05/53.70 tff(36906,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB115) | (~v260(constB115)))) <=> ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB115) | (~v260(constB115)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36907,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | (v243(constB115) | (~v260(constB115)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36908,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v243(VarCurr) | (~v260(VarCurr)))) | v243(constB115) | (~v260(constB115))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36907, 36906])).
% 84.05/53.70 tff(36909,plain,
% 84.05/53.70 (~v260(constB115)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36908, 5136, 36905])).
% 84.05/53.70 tff(36910,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB115)) | (~v259(constB115)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB115)) | (~v259(constB115)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36911,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | ((~v183(constB115)) | (~v259(constB115)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36912,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v259(VarCurr)))) | (~v183(constB115)) | (~v259(constB115))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36911, 36910])).
% 84.05/53.70 tff(36913,plain,
% 84.05/53.70 (~v259(constB115)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36912, 5122, 36566])).
% 84.05/53.70 tff(36914,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB115) | v260(constB115) | (~v256(constB115)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB115) | v260(constB115) | (~v256(constB115)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36915,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB115) | v260(constB115) | (~v256(constB115)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36916,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB115) | v260(constB115) | (~v256(constB115))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36915, 36914])).
% 84.05/53.70 tff(36917,plain,
% 84.05/53.70 (v260(constB115) | (~v256(constB115))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36916, 5150, 36913])).
% 84.05/53.70 tff(36918,plain,
% 84.05/53.70 (~v256(constB115)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36917, 36909])).
% 84.05/53.70 tff(36919,plain,
% 84.05/53.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB115, constB116)) | v256(constB115) | (~v258(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB115, constB116)) | v256(constB115) | (~v258(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36920,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB115, constB116)) | v256(constB115) | (~v258(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36921,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB115, constB116)) | v256(constB115) | (~v258(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36920, 36919])).
% 84.05/53.70 tff(36922,plain,
% 84.05/53.70 (v256(constB115) | (~v258(constB116))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36921, 5165, 16743])).
% 84.05/53.70 tff(36923,plain,
% 84.05/53.70 (~v258(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36922, 36918])).
% 84.05/53.70 tff(36924,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB116) | (~v259(constB116)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB116) | (~v259(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36925,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | (v258(constB116) | (~v259(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36926,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v259(VarCurr)))) | v258(constB116) | (~v259(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36925, 36924])).
% 84.05/53.70 tff(36927,plain,
% 84.05/53.70 (~v259(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36926, 5180, 36923])).
% 84.05/53.70 tff(36928,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB116) | (~v262(constB116)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB116) | (~v262(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36929,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB116) | (~v262(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36930,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB116) | (~v262(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36929, 36928])).
% 84.05/53.70 tff(36931,plain,
% 84.05/53.70 (~v262(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36930, 3915, 36588])).
% 84.05/53.70 tff(36932,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB116) | (~v261(constB116)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB116) | (~v261(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36933,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB116) | (~v261(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36934,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB116) | (~v261(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36933, 36932])).
% 84.05/53.70 tff(36935,plain,
% 84.05/53.70 (~v261(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36934, 3829, 36931])).
% 84.05/53.70 tff(36936,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB116) | (~v260(constB116)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB116) | (~v260(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36937,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | (v261(constB116) | (~v260(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36938,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v260(VarCurr)))) | v261(constB116) | (~v260(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36937, 36936])).
% 84.05/53.70 tff(36939,plain,
% 84.05/53.70 (~v260(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36938, 5194, 36935])).
% 84.05/53.70 tff(36940,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB116) | v260(constB116) | (~v256(constB116)))) <=> ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB116) | v260(constB116) | (~v256(constB116)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36941,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | (v259(constB116) | v260(constB116) | (~v256(constB116)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36942,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v259(VarCurr) | v260(VarCurr) | (~v256(VarCurr)))) | v259(constB116) | v260(constB116) | (~v256(constB116))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36941, 36940])).
% 84.05/53.70 tff(36943,plain,
% 84.05/53.70 (v259(constB116) | (~v256(constB116))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36942, 5150, 36939])).
% 84.05/53.70 tff(36944,plain,
% 84.05/53.70 (~v256(constB116)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36943, 36927])).
% 84.05/53.70 tff(36945,plain,
% 84.05/53.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB116, constB117)) | v256(constB116) | (~v258(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB116, constB117)) | v256(constB116) | (~v258(constB117)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36946,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | ((~nextState(constB116, constB117)) | v256(constB116) | (~v258(constB117)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36947,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v256(VarCurr) | (~v258(VarNext)))) | (~nextState(constB116, constB117)) | v256(constB116) | (~v258(constB117))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36946, 36945])).
% 84.05/53.70 tff(36948,plain,
% 84.05/53.70 (v256(constB116) | (~v258(constB117))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36947, 5165, 16805])).
% 84.05/53.70 tff(36949,plain,
% 84.05/53.70 (~v258(constB117)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36948, 36944])).
% 84.05/53.70 tff(36950,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB117) | (~v271(constB117)))) <=> ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB117) | (~v271(constB117)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36951,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | (v258(constB117) | (~v271(constB117)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36952,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v258(VarCurr) | (~v271(VarCurr)))) | v258(constB117) | (~v271(constB117))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36951, 36950])).
% 84.05/53.70 tff(36953,plain,
% 84.05/53.70 (~v271(constB117)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36952, 23584, 36949])).
% 84.05/53.70 tff(36954,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB117)) | (~v270(constB117)))) <=> ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB117)) | (~v270(constB117)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36955,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | ((~v183(constB117)) | (~v270(constB117)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36956,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : ((~v183(VarCurr)) | (~v270(VarCurr)))) | (~v183(constB117)) | (~v270(constB117))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36955, 36954])).
% 84.05/53.70 tff(36957,plain,
% 84.05/53.70 (~v270(constB117)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36956, 3694, 36432])).
% 84.05/53.70 tff(36958,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB117) | v271(constB117) | (~v267(constB117)))) <=> ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB117) | v271(constB117) | (~v267(constB117)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36959,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB117) | v271(constB117) | (~v267(constB117)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36960,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | v270(constB117) | v271(constB117) | (~v267(constB117))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36959, 36958])).
% 84.05/53.70 tff(36961,plain,
% 84.05/53.70 (v271(constB117) | (~v267(constB117))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36960, 3857, 36957])).
% 84.05/53.70 tff(36962,plain,
% 84.05/53.70 (~v267(constB117)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36961, 36953])).
% 84.05/53.70 tff(36963,plain,
% 84.05/53.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB117, constB118)) | v267(constB117) | (~v269(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB117, constB118)) | v267(constB117) | (~v269(constB118)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36964,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | ((~nextState(constB117, constB118)) | v267(constB117) | (~v269(constB118)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36965,plain,
% 84.05/53.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v267(VarCurr) | (~v269(VarNext)))) | (~nextState(constB117, constB118)) | v267(constB117) | (~v269(constB118))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36964, 36963])).
% 84.05/53.70 tff(36966,plain,
% 84.05/53.70 (v267(constB117) | (~v269(constB118))),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36965, 3872, 16935])).
% 84.05/53.70 tff(36967,plain,
% 84.05/53.70 (~v269(constB118)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36966, 36962])).
% 84.05/53.70 tff(36968,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB118) | (~v270(constB118)))) <=> ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB118) | (~v270(constB118)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36969,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | (v269(constB118) | (~v270(constB118)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36970,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v269(VarCurr) | (~v270(VarCurr)))) | v269(constB118) | (~v270(constB118))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36969, 36968])).
% 84.05/53.70 tff(36971,plain,
% 84.05/53.70 (~v270(constB118)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36970, 3887, 36967])).
% 84.05/53.70 tff(36972,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB118) | (~v262(constB118)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB118) | (~v262(constB118)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36973,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | (v184(constB118) | (~v262(constB118)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36974,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v262(VarCurr)))) | v184(constB118) | (~v262(constB118))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36973, 36972])).
% 84.05/53.70 tff(36975,plain,
% 84.05/53.70 (~v262(constB118)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36974, 3915, 36454])).
% 84.05/53.70 tff(36976,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB118) | (~v261(constB118)))) <=> ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB118) | (~v261(constB118)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36977,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | (v262(constB118) | (~v261(constB118)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36978,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v262(VarCurr) | (~v261(VarCurr)))) | v262(constB118) | (~v261(constB118))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36977, 36976])).
% 84.05/53.70 tff(36979,plain,
% 84.05/53.70 (~v261(constB118)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36978, 3829, 36975])).
% 84.05/53.70 tff(36980,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB118) | (~v271(constB118)))) <=> ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB118) | (~v271(constB118)))),
% 84.05/53.70 inference(rewrite,[status(thm)],[])).
% 84.05/53.70 tff(36981,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | (v261(constB118) | (~v271(constB118)))),
% 84.05/53.70 inference(quant_inst,[status(thm)],[])).
% 84.05/53.70 tff(36982,plain,
% 84.05/53.70 ((~![VarCurr: state_type] : (v261(VarCurr) | (~v271(VarCurr)))) | v261(constB118) | (~v271(constB118))),
% 84.05/53.70 inference(modus_ponens,[status(thm)],[36981, 36980])).
% 84.05/53.70 tff(36983,plain,
% 84.05/53.70 (~v271(constB118)),
% 84.05/53.70 inference(unit_resolution,[status(thm)],[36982, 3843, 36979])).
% 84.05/53.70 tff(36984,plain,
% 84.05/53.70 (((~![VarCurr: state_type] : (v270(VarCurr) | v271(VarCurr) | (~v267(VarCurr)))) | (v270(constB118) | v271(constB118) | (~v267(constB118)))) <